@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/120726,
    title ="Adaptive goal-oriented data sampling in Data-Driven Computational Mechanics",
    author = "Gorgogianni, Anna and Karapiperis, Konstantinos and Stainier, Laurent and Ortiz, Michael and Andrade, José E.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "409",
    
    pages = "Art. No. 115949",
    month = "May",
    year = "2023",
    doi = "https://doi.org/10.1016/j.cma.2023.115949",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230411-695015900.6",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/120673,
    title ="Computation of effective elastic moduli of rocks using hierarchical homogenization",
    author = "Ahmad, Rasool and Liu, Mingliang and Ortiz, Michael and Mukerji, Tapan and Cai, Wei",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "174",
    
    pages = "Art. No. 105268",
    month = "May",
    year = "2023",
    doi = "https://doi.org/10.1016/j.jmps.2023.105268",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230404-258305700.8",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119020,
    title ="Model-Free and Prior-Free Data-Driven Inference in Mechanics",
    author = "Conti, Sergio and Hoffmann, Franca and Ortiz, Michael",
    journal = "Archive for Rational Mechanics and Analysis",
    volume = "247",
    number = "1",
    pages = "Art. No. 7",
    month = "February",
    year = "2023",
    doi = "https://doi.org/10.1007/s00205-022-01836-7",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230203-893210800.26",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/117903,
    title ="Model-free Data-Driven viscoelasticity in the frequency domain",
    author = "Salahshoor, Hossein and Ortiz, Michael",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "403",
    number = "Pt. A",
    pages = "Art. No. 115657",
    month = "January",
    year = "2023",
    doi = "https://doi.org/10.1016/j.cma.2022.115657",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20221117-155430600.5",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/118069,
    title ="Model-free Data-Driven inference in computational mechanics",
    author = "Prume, E. and Reese, S. and Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "403",
    
    pages = "Art. No. 115704",
    month = "January",
    year = "2023",
    doi = "https://doi.org/10.1016/j.cma.2022.115704",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20221128-494241100.30",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/118051,
    title ="Geometric effects in gas vesicle buckling under ultrasound",
    author = "Salahshoor, Hossein and Yao, Yuxing and Dutka, Przemysław and Nyström, Nivin N. and Jin, Zhiyang and Min, Ellen and Malounda, Dina and Jensen, Grant J. and Ortiz, Michael and Shapiro, Mikhail G.",
    journal = "Biophysical Journal",
    volume = "121",
    number = "21",
    pages = "4221-4228",
    month = "November",
    year = "2022",
    doi = "https://doi.org/10.1016/j.bpj.2022.09.004",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20221128-494241100.5",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/116348,
    title ="Hydrogen-enhanced grain boundary vacancy stockpiling causes transgranular to intergranular fracture transition",
    author = "Ding, Yu and Yu, Haiyang and Lin, Meichao and Zhao, Kai and Xiao, Senbo and Vinogradov, Alexei and Qiao, Lijie and Ortiz, Michael and He, Jianying and Zhang, Zhiliang",
    journal = "Acta Materialia",
    volume = "239",
    
    pages = "Art. No. 118279",
    month = "October",
    year = "2022",
    doi = "https://doi.org/10.1016/j.actamat.2022.118279",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220817-896609000",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/114729,
    title ="Strain-tuning of transport gaps and semiconductor-to-conductor phase transition in twinned graphene",
    author = "Arca, F. and Mendez, J. P. and Ortiz, M. and Ariza, M. P.",
    journal = "Acta Materialia",
    volume = "234",
    
    pages = "Art. No. 117987",
    month = "August",
    year = "2022",
    doi = "https://doi.org/10.1016/j.actamat.2022.117987",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220513-557834000",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/114772,
    title ="A spatially adaptive phase-field model of fracture",
    author = "Phansalkar, Dhananjay and Weinberg, Kerstin and Ortiz, Michael and Leyendecker, Sigrid",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "395",
    
    pages = "Art. No. 114880",
    month = "May",
    year = "2022",
    doi = "https://doi.org/10.1016/j.cma.2022.114880",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220517-424411000",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109925,
    title ="A Proof of Taylor Scaling for Curvature-Driven Dislocation Motion Through Random Arrays of Obstacles",
    author = "Courte, Luca and Dondl, Patrick and Ortiz, Michael",
    journal = "Archive for Rational Mechanics and Analysis",
    volume = "244",
    number = "2",
    pages = "317-341",
    month = "May",
    year = "2022",
    doi = "https://doi.org/10.1007/s00205-022-01765-5",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210719-210159826",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/113068,
    title ="Multiscale modeling of materials: Computing, data science, uncertainty and goal-oriented optimization",
    author = "Kovachki, Nikola and Liu, Burigede and Sun, Xingsheng and Zhou, Hao and Bhattacharya, Kaushik and Ortiz, Michael and Stuart, Andrew",
    journal = "Mechanics of Materials",
    volume = "165",
    
    pages = "Art. No. 104156",
    month = "February",
    year = "2022",
    doi = "https://doi.org/10.1016/j.mechmat.2021.104156",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220121-968309000",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/111090,
    title ="Mechanics of ultrasonic neuromodulation in a mouse subject",
    author = "Salahshoor, Hossein and Guo, Hongsun and Shapiro, Mikhail G. and Ortiz, Michael",
    journal = "Extreme Mechanics Letters",
    volume = "50",
    
    pages = "Art. No. 101539",
    month = "January",
    year = "2022",
    doi = "https://doi.org/10.1016/j.eml.2021.101539",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210929-163841106",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/108210,
    title ="A comparative accuracy and convergence study of eigenerosion and phase-field models of fracture",
    author = "Pandolfi, A. and Weinberg, K. and Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "386",
    
    pages = "Art. No. 114078",
    month = "December",
    year = "2021",
    doi = "https://doi.org/10.1016/j.cma.2021.114078",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210225-132738559",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/110766,
    title ="Data-Driven nonlocal mechanics: Discovering the internal length scales of materials",
    author = "Karapiperis, K. and Ortiz, M. and Andrade, J. E.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "386",
    
    pages = "Art. No. 114039",
    month = "December",
    year = "2021",
    doi = "https://doi.org/10.1016/j.cma.2021.114039",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210908-171123194",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109977,
    title ="Hydrogen-induced transgranular to intergranular fracture transition in bi-crystalline nickel",
    author = "Ding, Yu and Yu, Haiyang and Zhao, Kai and Lin, Meichao and Xiao, Senbo and Ortiz, Michael and He, Jianying and Zhang, Zhiliang",
    journal = "Scripta Materialia",
    volume = "204",
    
    pages = "Art. No. 114122",
    month = "November",
    year = "2021",
    doi = "https://doi.org/10.1016/j.scriptamat.2021.114122",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210722-162827192",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109974,
    title ="Data-driven rate-dependent fracture mechanics",
    author = "Carrara, P. and Ortiz, M. and De Lorenzis, L.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "155",
    
    pages = "Art. No. 104559",
    month = "October",
    year = "2021",
    doi = "https://doi.org/10.1016/j.jmps.2021.104559",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210722-144956534",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/108211,
    title ="Efficient data structures for model-free data-driven computational mechanics",
    author = "Eggersmann, Robert and Stainier, Laurent and Ortiz, Michael and Reese, Stefanie",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "382",
    
    pages = "Art. No. 113855",
    month = "August",
    year = "2021",
    doi = "https://doi.org/10.1016/j.cma.2021.113855",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210225-132741960",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/108209,
    title ="Hierarchical multiscale quantification of material uncertainty",
    author = "Liu, Burigede and Sun, Xingsheng and Bhattacharya, Kaushik and Ortiz, Michael",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "153",
    
    pages = "Art. No. 104492",
    month = "August",
    year = "2021",
    doi = "https://doi.org/10.1016/j.jmps.2021.104492",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210225-132735184",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109175,
    title ="Nonequilibrium thermomechanics of Gaussian phase packet crystals: Application to the quasistatic quasicontinuum method",
    author = "Gupta, Prateek and Ortiz, Michael and Kochmann, Dennis M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "153",
    
    pages = "Art. No. 104495",
    month = "August",
    year = "2021",
    doi = "https://doi.org/10.1016/j.jmps.2021.104495",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210518-103040351",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/108825,
    title ="Finite element solver for data-driven finite strain elasticity",
    author = "Platzer, Auriane and Leygue, Adrien and Stainier, Laurent and Ortiz, Michael",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "379",
    
    pages = "Art. No. 113756",
    month = "June",
    year = "2021",
    doi = "https://doi.org/10.1016/j.cma.2021.113756",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210423-164852906",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/108471,
    title ="A semi-discrete line-free method of monopoles for dislocation dynamics",
    author = "Ariza, M. P. and Ortiz, M.",
    journal = "Extreme Mechanics Letters",
    volume = "45",
    
    pages = "Art. No. 101267",
    month = "May",
    year = "2021",
    doi = "https://doi.org/10.1016/j.eml.2021.101267",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210317-151949384",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/108074,
    title ="Applications of the J-integral to dynamical problems in geotechnical engineering",
    author = "Garcia-Suarez, J. and Asimaki, D. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "150",
    
    pages = "Art. No. 104353",
    month = "May",
    year = "2021",
    doi = "https://doi.org/10.1016/j.jmps.2021.104353",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210216-140504716",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106377,
    title ="Experimental Validation of the Attenuation Properties in the Sonic Range of Metaconcrete Containing Two Types of Resonant Inclusions",
    author = "Briccola, D. and Cuni, M. and De Juli, A. and Ortiz, M. and Pandolfi, A.",
    journal = "Experimental Mechanics",
    volume = "61",
    number = "3",
    pages = "515-532",
    month = "March",
    year = "2021",
    doi = "https://doi.org/10.1007/s11340-020-00668-4",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201102-091525367",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106782,
    title ="Data-Driven Multiscale Modeling in Mechanics",
    author = "Karapiperis, K. and Stainier, L. and Ortiz, M. and Andrade, J. E.",
    journal = "Journal of the Mechanics and Physics of Solids",
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    pages = "Art. No. 104239",
    month = "February",
    year = "2021",
    doi = "https://doi.org/10.1016/j.jmps.2020.104239",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201123-120506132",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/105979,
    title ="Molecular dynamics study of the shock response of polyurea",
    author = "Manav, M. and Ortiz, M.",
    journal = "Polymer",
    volume = "212",
    
    pages = "Art. No. 123109",
    month = "January",
    year = "2021",
    doi = "https://doi.org/10.1016/j.polymer.2020.123109",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201012-103540350",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106095,
    title ="Model-free data-driven computational mechanics enhanced by tensor voting",
    author = "Eggersmann, Robert and Stainier, Laurent and Ortiz, Michael and Reese, Stefanie",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "373",
    
    pages = "Art. No. 113499",
    month = "January",
    year = "2021",
    doi = "https://doi.org/10.1016/j.cma.2020.113499",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201015-152733627",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/107006,
    title ="Mollified finite element approximants of arbitrary order and smoothness",
    author = "Febrianto, Eky and Ortiz, Michael and Cirak, Fehmi",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "373",
    
    pages = "Art. No. 113513",
    month = "January",
    year = "2021",
    doi = "https://doi.org/10.1016/j.cma.2020.113513",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201210-083948637",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/105308,
    title ="Data-driven fracture mechanics",
    author = "Carrara, P. and De Lorenzis, L. and Stainier, L. and Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
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    pages = "Art. No. 113390",
    month = "December",
    year = "2020",
    doi = "https://doi.org/10.1016/j.cma.2020.113390",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200910-100202726",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/104269,
    title ="Charge-carrier transmission across twins in graphene",
    author = "Arca, F. and Mendez, J. P. and Ortiz, M. and Ariza, M. P.",
    journal = "Journal of Physics: Condensed Matter",
    volume = "32",
    number = "42",
    pages = "Art. No. 425003",
    month = "October",
    year = "2020",
    doi = "https://doi.org/10.1088/1361-648x/aba0d9",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200708-075007084",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/102662,
    title ="Transcranial Focused Ultrasound Generates Skull-Conducted Shear Waves: Computational Model and Implications for Neuromodulation",
    author = "Salahshoor, Hossein and Shapiro, Mikhail G. and Ortiz, Michael",
    journal = "Applied Physics Letters",
    volume = "117",
    number = "3",
    pages = "Art. No. 033702",
    month = "July",
    year = "2020",
    doi = "https://doi.org/10.1063/5.0011837",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200420-131214393",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/101904,
    title ="Data-Driven Finite Elasticity",
    author = "Conti, S. and Müller, S. and Ortiz, M.",
    journal = "Archive for Rational Mechanics and Analysis",
    volume = "237",
    number = "1",
    pages = "1-33",
    month = "July",
    year = "2020",
    doi = "https://doi.org/10.1007/s00205-020-01490-x",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200313-132836970",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/102020,
    title ="Shear localization as a mesoscopic stress-relaxation mechanism in fused silica glass at high strain rates",
    author = "Schill, W. and Mendez, J. P. and Stainier, L. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "140",
    
    pages = "Art. No. 103940",
    month = "July",
    year = "2020",
    doi = "https://doi.org/10.1016/j.jmps.2020.103940",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200320-094313784",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/108117,
    title ="Ice Penetration by a Bluff-Body Melting Probe",
    author = "Weinberg, Kerstin and Ortiz, Michael",
    journal = "Journal of Applied Mechanics",
    volume = "87",
    number = "6",
    pages = "Art. No. 061003",
    month = "June",
    year = "2020",
    doi = "https://doi.org/10.1115/1.4046633",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210218-171550599",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/100171,
    title ="Effect of polypropylene fibers on the fracture behavior of heated ultra-high performance concrete",
    author = "Ríos, J. D. and Cifuentes, H. and Leiva, C. and Ariza, M. P. and Ortiz, M.",
    journal = "International Journal of Fracture",
    volume = "223",
    number = "1-2",
    pages = "173-187",
    month = "May",
    year = "2020",
    doi = "https://doi.org/10.1007/s10704-019-00407-4",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20191203-154217834",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/102113,
    title ="Supergiant elasticity and fracture of 3D spirally wound MoS₂",
    author = "Wu, Jianyang and He, Jianying and Ariza, Pilar and Ortiz, Michael and Zhang, Zhiliang",
    journal = "International Journal of Fracture",
    volume = "223",
    
    pages = "39-52",
    month = "May",
    year = "2020",
    doi = "https://doi.org/10.1007/s10704-020-00427-5",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200326-080855730",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/100634,
    title ="Large scale ab-initio simulations of dislocations",
    author = "Ponga, Mauricio and Bhattacharya, Kaushik and Ortiz, Michael",
    journal = "Journal of Computational Physics",
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    pages = "Art. No. 109249",
    month = "April",
    year = "2020",
    doi = "https://doi.org/10.1016/j.jcp.2020.109249",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200110-142048574",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/100410,
    title ="A dynamical model of oncotripsy by mechanical cell fatigue: selective cancer cell ablation by low-intensity pulsed ultrasound",
    author = "Schibber, E. F. and Mittelstein, D. R. and Gharib, M. and Shapiro, M. G. and Lee, P. P. and Ortiz, M.",
    journal = "Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences",
    volume = "476",
    number = "2236",
    pages = "Art. No. 20190692",
    month = "March",
    year = "2020",
    doi = "https://doi.org/10.1098/rspa.2019.0692",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20191223-114059821",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/102929,
    title ="Size Scaling of Plastic Deformation in Simple Shear: Fractional Strain-Gradient Plasticity and Boundary Effects in Conventional Strain-Gradient Plasticity",
    author = "Dahlberg, Carl F. O. and Ortiz, Michael",
    journal = "Journal of Applied Mechanics",
    volume = "87",
    number = "3",
    pages = "Art. No. 031017",
    month = "March",
    year = "2020",
    doi = "https://doi.org/10.1115/1.4045872",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200430-120230708",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/100197,
    title ="Spontaneous twinning as an accommodation mechanism in monolayer graphene",
    author = "Arca, F. and Mendez, J. P. and Ortiz, M. and Ariza, M. P.",
    journal = "European Journal of Mechanics - A/Solids",
    volume = "80",
    
    pages = "Art. No. 103923",
    month = "March",
    year = "2020",
    doi = "https://doi.org/10.1016/j.euromechsol.2019.103923",
    
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/99495,
    title ="Rigorous Uncertainty Quantification and Design with Uncertain Material Models",
    author = "Sun, X. and Kirchdoerfer, T. and Ortiz, M.",
    journal = "International Journal of Impact Engineering",
    volume = "136",
    
    pages = "Art. No. 103418",
    month = "February",
    year = "2020",
    doi = "https://doi.org/10.1016/j.ijimpeng.2019.103418",
    
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97663,
    title ="Symmetric Div-Quasiconvexity and the Relaxation of Static Problems",
    author = "Conti, S. and Müller, S. and Ortiz, M.",
    journal = "Archive for Rational Mechanics and Analysis",
    volume = "235",
    number = "2",
    pages = "841-880",
    month = "February",
    year = "2020",
    doi = "https://doi.org/10.1007/s00205-019-01433-1",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190805-150303687",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/99007,
    title ="Selective Ablation of Cancer Cells with Low Intensity Pulsed Ultrasound",
    author = "Mittelstein, David R. and Ye, Jian and Schibber, Erika F. and Roychoudhury, Ankita and Troyas Martinez, Leyre and Fekrazad, M. Houman and Ortiz, Michael and Lee, Peter P. and Shapiro, Mikhail G. and Gharib, Morteza",
    journal = "Applied Physics Letters",
    volume = "116",
    number = "1",
    pages = "Art. No. 013701",
    month = "January",
    year = "2020",
    doi = "https://doi.org/10.1063/1.5128627",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20191002-094950438",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/96127,
    title ="Model-free data-driven methods in mechanics: material data identification and solvers",
    author = "Stainier, Laurent and Leygue, Adrien and Ortiz, Michael",
    journal = "Computational Mechanics",
    volume = "64",
    number = "2",
    pages = "381-393",
    month = "August",
    year = "2019",
    doi = "https://doi.org/10.1007/s00466-019-01731-1",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190604-153039944",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97158,
    title ="Steric Interference in Bilayer Graphene with Point Dislocations",
    author = "Arca, Francisco and Mendez, Juan Pedro and Ortiz, Michael and Ariza, Pilar",
    journal = "Nanomaterials",
    volume = "9",
    number = "7",
    pages = "Art. No. 1012",
    month = "July",
    year = "2019",
    doi = "https://doi.org/10.3390/nano9071012",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190716-082655936",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/93425,
    title ="Model-Free Data-Driven inelasticity",
    author = "Eggersmann, R. and Kirchdoerfer, T and Reese, S. and Stainier, L. and Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "350",
    
    pages = "81-99",
    month = "June",
    year = "2019",
    doi = "https://doi.org/10.1016/j.cma.2019.02.016",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190304-093042764",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/86769,
    title ="Functional optimality of the sulcus pattern of the human brain",
    author = "Heyden, S. and Ortiz, M.",
    journal = "Mathematical Medicine and Biology",
    volume = "36",
    number = "2",
    pages = "207-221",
    month = "June",
    year = "2019",
    doi = "https://doi.org/10.1093/imammb/dqy007",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180604-073442987",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/92248,
    title ="Topology and polarity of dislocation cores dictate the mechanical strength of monolayer MoS_2",
    author = "Wu, Jianyang and Gong, Hao and Zhang, Zhisen and He, Jianying and Ariza, Pilar and Ortiz, Michael and Zhang, Zhiliang",
    journal = "Applied Materials Today",
    volume = "15",
    
    pages = "34-42",
    month = "June",
    year = "2019",
    doi = "https://doi.org/10.1016/j.apmt.2018.12.019",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190114-093259803",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/93227,
    title ="Fractional strain-gradient plasticity",
    author = "Dahlberg, C. F. O. and Ortiz, M.",
    journal = "European Journal of Mechanics - A/Solids",
    volume = "75",
    
    pages = "348-354",
    month = "May",
    year = "2019",
    doi = "https://doi.org/10.1016/j.euromechsol.2019.02.006",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190225-123840084",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/92117,
    title ="Atomistic Modeling and Analysis of Hydride Phase Transformation in Palladium Nanoparticles",
    author = "Sun, X. and Ariza, M. P. and Ortiz, M. and Wang, K. G.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "125",
    
    pages = "360-383",
    month = "April",
    year = "2019",
    doi = "https://doi.org/10.1016/j.jmps.2019.01.006",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190107-130600369",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/95946,
    title ="Topology Optimization of Solid Rocket Fuel",
    author = "Kirchdoerfer, Trenton and Ortiz, Michael and Stewart, Donald S.",
    journal = "AIAA Journal",
    volume = "57",
    number = "4",
    pages = "1684-1690",
    month = "April",
    year = "2019",
    doi = "https://doi.org/10.2514/1.J057807",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190530-074847285",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/89933,
    title ="A line-free method of monopoles for 3D dislocation dynamics",
    author = "Deffo, A. and Ariza, M. P. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "122",
    
    pages = "566-589",
    month = "January",
    year = "2019",
    doi = "https://doi.org/10.1016/j.jmps.2018.09.001",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180925-152150158",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/85051,
    title ="A variational approach to Navier-Stokes",
    author = "Ortiz, Michael and Schmidt, Bernd and Stefanelli, Ulisse",
    journal = "Nonlinearity",
    volume = "31",
    number = "12",
    pages = "Art. No. 5664",
    month = "December",
    year = "2018",
    doi = "https://doi.org/10.1088/1361-6544/aae722",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180302-070321462",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/88599,
    title ="Kinematics of elasto-plasticity: Validity and limits of applicability of F = F^eF^p for general three-dimensional deformations",
    author = "Reina, Celia and Fokoua Djodom, Landry and Ortiz, Michael and Conti, Sergio",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "121",
    
    pages = "99-113",
    month = "December",
    year = "2018",
    doi = "https://doi.org/10.1016/j.jmps.2018.07.006",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180806-110927280",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/91737,
    title ="Optimizing information transmission rates drives brain gyrification",
    author = "Heyden, S. and Ortiz, M.",
    journal = "Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences",
    volume = "474",
    number = "2219",
    pages = "Art. No. 20180527",
    month = "November",
    year = "2018",
    doi = "https://doi.org/10.1098/rspa.2018.0527",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20181212-142046456",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/87595,
    title ="Strength of tantalum shocked at ultrahigh pressures",
    author = "Stebner, Aaron P. and Wehrenberg, Christopher and Li, Bo and Randall, Greg C. and John, Kristen and Hudish, Grant A. and Maddox, Brian and Farrell, Michael and Park, Hye-Sook and Remington, Bruce and Ortiz, Michael and Ravichandran, G.",
    journal = "Materials Science and Engineering A",
    volume = "732",
    
    pages = "220-227",
    month = "August",
    year = "2018",
    doi = "https://doi.org/10.1016/j.msea.2018.06.105",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180706-105716928",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/86457,
    title ="Charge carrier transport across grain boundaries in graphene",
    author = "Mendez, J. P. and Arca, F. and Ramos, J. and Ortiz, M. and Ariza, M. P.",
    journal = "Acta Materialia",
    volume = "154",
    
    pages = "199-206",
    month = "August",
    year = "2018",
    doi = "https://doi.org/10.1016/j.actamat.2018.05.019",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180518-133908702",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84607,
    title ="Data-Driven Problems in Elasticity",
    author = "Conti, S. and Müller, S. and Ortiz, M.",
    journal = "Archive for Rational Mechanics and Analysis",
    volume = "229",
    number = "1",
    pages = "79-123",
    month = "July",
    year = "2018",
    doi = "https://doi.org/10.1007/s00205-017-1214-0",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180131-140932556",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/85255,
    title ="Diffusive molecular dynamics simulations of lithiation of silicon nanopillars",
    author = "Mendez, J. P. and Ponga, M. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "115",
    
    pages = "123-141",
    month = "June",
    year = "2018",
    doi = "https://doi.org/10.1016/j.jmps.2018.03.008",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180312-142155426",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/85591,
    title ="CTH shock physics simulation of non-linear material effects within an aerospace CFRP fastener assembly due to direct lightning attachment",
    author = "Kirchdoerfer, T. and Liebscher, A. and Ortiz, M.",
    journal = "Composite Structures",
    volume = "189",
    
    pages = "357-365",
    month = "April",
    year = "2018",
    doi = "https://doi.org/10.1016/j.compstruct.2017.11.061",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180404-092418928",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84631,
    title ="The anomalous yield behavior of fused silica glass",
    author = "Schill, W. and Heyden, S. and Conti, S. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "113",
    
    pages = "105-125",
    month = "April",
    year = "2018",
    doi = "https://doi.org/10.1016/j.jmps.2018.01.004",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180201-135857640",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82834,
    title ="Data-Driven Computing in Dynamics",
    author = "Kirchdoerfer, T. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "113",
    number = "11",
    pages = "1697-1710",
    month = "March",
    year = "2018",
    doi = "https://doi.org/10.1002/nme.5716",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171101-121627090",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84900,
    title ="Long-term atomistic simulation of hydrogen absorption in palladium nanocubes using a diffusive molecular dynamics method",
    author = "Sun, Xingsheng and Ariza, Pilar and Ortiz, Michael and Wang, Kevin G.",
    journal = "International Journal of Hydrogen Energy",
    volume = "43",
    number = "11",
    pages = "5657-5667",
    month = "March",
    year = "2018",
    doi = "https://doi.org/10.1016/j.ijhydene.2018.01.169",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180221-092513945",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84006,
    title ="Proliferation of twinning in hexagonal close-packed metals: Application to magnesium",
    author = "Sun, D. and Ponga, M. and Bhattacharya, K. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "112",
    
    pages = "368-384",
    month = "March",
    year = "2018",
    doi = "https://doi.org/10.1016/j.jmps.2017.12.009",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171221-151321326",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81373,
    title ="Acceleration of diffusive molecular dynamics simulations through mean field approximation and subcycling time integration",
    author = "Sun, X. and Ariza, M. P. and Ortiz, M. and Wang, K. G.",
    journal = "Journal of Computational Physics",
    volume = "350",
    
    pages = "470-492",
    month = "December",
    year = "2017",
    doi = "https://doi.org/10.1016/j.jcp.2017.08.069",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170912-141252063",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82995,
    title ="Geometrically exact time-integration mesh-free schemes for advection-diffusion problems derived from optimal transportation theory and their connection with particle methods",
    author = "Fedeli, L. and Pandolfi, A. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "112",
    number = "9",
    pages = "1175-1193",
    month = "November",
    year = "2017",
    doi = "https://doi.org/10.1002/nme.5552",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171106-141823774",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78100,
    title ="Data Driven Computing with Noisy Material Data Sets",
    author = "Kirchdoerfer, T. and Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "326",
    
    pages = "622-641",
    month = "November",
    year = "2017",
    doi = "https://doi.org/10.1016/j.cma.2017.07.039",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-102809775",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83301,
    title ="A comparative study of nanovoid growth in FCC metals",
    author = "Ponga, M. and Ortiz, M. and Ariza, M. P.",
    journal = "Philosophical Magazine",
    volume = "97",
    number = "32",
    pages = "2985-3007",
    month = "August",
    year = "2017",
    doi = "https://doi.org/10.1080/14786435.2017.1364437",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171117-145404249",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65400,
    title ="A multiscale model of distributed fracture and permeability in solids in all-round compression",
    author = "De Bellis, Maria Laura and Della Vecchia, Gabriele and Ortiz, Michael and Pandolfi, Anna",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "104",
    
    pages = "12-31",
    month = "July",
    year = "2017",
    doi = "https://doi.org/10.1016/j.jmps.2017.03.017",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160316-140142435",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/75563,
    title ="Experimental Validation of Metaconcrete Blast Mitigation Properties",
    author = "Briccola, Deborah and Ortiz, Michael and Pandolfi, Anna",
    journal = "Journal of Applied Mechanics",
    volume = "84",
    number = "3",
    pages = "Art. No. 031001",
    month = "March",
    year = "2017",
    doi = "https://doi.org/10.1115/1.4035259",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170331-074653697",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/74662,
    title ="Investigation of the influence of viscoelasticity on oncotripsy",
    author = "Heyden, S. and Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "314",
    
    pages = "314-322",
    month = "February",
    year = "2017",
    doi = "https://doi.org/10.1016/j.cma.2016.08.026",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170302-082150368",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71033,
    title ="Spectrum-splitting approach for Fermi-operator expansion in all-electron Kohn-Sham DFT calculations",
    author = "Motamarri, Phani and Gavini, Vikram and Bhattacharya, Kaushik and Ortiz, Michael",
    journal = "Physical Review B",
    volume = "95",
    number = "3",
    pages = "Art. No. 035111",
    month = "January",
    year = "2017",
    doi = "https://doi.org/10.1103/PhysRevB.95.035111",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161012-162032480",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65100,
    title ="Method for the quantification of rupture probability in soft collagenous tissues",
    author = "Balzani, D. and Schmidt, T. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Biomedical Engineering",
    volume = "33",
    number = "1",
    pages = "Art. No. e02781",
    month = "January",
    year = "2017",
    doi = "https://doi.org/10.1002/cnm.2781",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160307-085012921",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73551,
    title ="A linearized porous brittle damage material model with distributed frictional-cohesive faults",
    author = "De Bellis, M. L. and Della Vecchia, G. and Ortiz, M. and Pandolfi, A.",
    journal = "Engineering Geology",
    volume = "215",
    
    pages = "10-24",
    month = "December",
    year = "2016",
    doi = "https://doi.org/10.1016/j.enggeo.2016.10.010",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170119-123323401",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/72180,
    title ="All-atom molecular dynamics simulations of multiphase segregated polyurea under quasistatic, adiabatic, uniaxial compression",
    author = "Heyden, S. and Ortiz, M. and Fortunelli, A.",
    journal = "Polymer",
    volume = "106",
    
    pages = "100-108",
    month = "December",
    year = "2016",
    doi = "https://doi.org/10.1016/j.polymer.2016.10.053",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161121-081314774",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/70914,
    title ="A sublinear-scaling approach to density-functional-theory analysis of crystal defects",
    author = "Ponga, M. and Bhattacharya, K. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "95",
    
    pages = "530-556",
    month = "October",
    year = "2016",
    doi = "https://doi.org/10.1016/j.jmps.2016.05.029",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161006-104337036",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/68506,
    title ="Effect of prestress on the stability of electrode–electrolyte interfaces during charging in lithium batteries",
    author = "Natsiavas, P. P. and Weinberg, K. and Rosato, D. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "95",
    
    pages = "92-111",
    month = "October",
    year = "2016",
    doi = "https://doi.org/10.1016/j.jmps.2016.05.007",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160620-075212141",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69091,
    title ="Computational multiobjective topology optimization of silicon anode structures for lithium-ion batteries",
    author = "Mitchell, Sarah L. and Ortiz, Michael",
    journal = "Journal of Power Sources",
    volume = "326",
    
    pages = "242-251",
    month = "September",
    year = "2016",
    doi = "https://doi.org/10.1016/j.jpowsour.2016.06.136",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160718-102711891",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/70684,
    title ="A relaxation method for the energy and morphology of grain boundaries and interfaces",
    author = "Runnels, Brandon and Beyerlein, Irene J. and Conti, Sergio and Ortiz, Michael",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "94",
    
    pages = "388-408",
    month = "September",
    year = "2016",
    doi = "https://doi.org/10.1016/j.jmps.2015.11.007",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160930-092102044",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/67244,
    title ="A Variational Framework for Spectral Approximations of Kohn–Sham Density Functional Theory",
    author = "Wang, Xin-Cindy and Blesgen, Thomas and Bhattacharya, Kaushik and Ortiz, Michael",
    journal = "Archive for Rational Mechanics and Analysis",
    volume = "221",
    number = "2",
    pages = "1035-1075",
    month = "August",
    year = "2016",
    doi = "https://doi.org/10.1007/s00205-016-0978-y",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160523-075651915",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69338,
    title ="Dynamic behavior of nano-voids in magnesium under hydrostatic tensile stress",
    author = "Ponga, Mauricio and Ramabathiran, Amuthan A. and Bhattacharya, Kaushik and Ortiz, Michael",
    journal = "Modelling and Simulation in Materials Science and Engineering",
    volume = "24",
    number = "6",
    pages = "Art. No. 065003",
    month = "August",
    year = "2016",
    doi = "https://doi.org/10.1088/0965-0393/24/6/065003",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160729-162325302",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/66573,
    title ="Oncotripsy: Targeting cancer cells selectively via resonant harmonic excitation",
    author = "Heyden, S. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "92",
    
    pages = "164-175",
    month = "July",
    year = "2016",
    doi = "https://doi.org/10.1016/j.jmps.2016.04.016",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160502-083438790",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65395,
    title ="Data-driven computational mechanics",
    author = "Kirchdoerfer, T. and Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
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    pages = "81-101",
    month = "June",
    year = "2016",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160316-133550600",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/67590,
    title ="A numerical method for the time coarsening of transport processes at the atomistic scale",
    author = "Gonzalez-Ferreiro, B. and Romero, I. and Ortiz, M.",
    journal = "Modelling and Simulation in Materials Science and Engineering",
    volume = "24",
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    pages = "Art. No. 045011",
    month = "April",
    year = "2016",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64896,
    title ="An analytical model of interfacial energy based on a lattice-matching interatomic energy",
    author = "Runnels, Brandon and Beyerlein, Irene J. and Conti, Sergio and Ortiz, Michael",
    journal = "Journal of the Mechanics and Physics of Solids",
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    pages = "174-193",
    month = "April",
    year = "2016",
    doi = "https://doi.org/10.1016/j.jmps.2016.01.008",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160301-092051608",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/66461,
    title ="Effect of Brittle Fracture in a Metaconcrete Slab under Shock Loading",
    author = "Mitchell, Stephanie J. and Pandolfi, Anna and Ortiz, Michael",
    journal = "Journal of Engineering Mechanics",
    volume = "142",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64043,
    title ="Optimal Scaling in Solids Undergoing Ductile Fracture by Crazing",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160128-110737717",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/62443,
    title ="Material modeling of cardiac valve tissue: Experiments, constitutive analysis and numerical investigation",
    author = "Heyden, Stefanie and Nagler, Andreas and Bertoglio, Cristóbal and Biehler, Jonas and Gee, Michael W. and Wall, Wolfgang A. and Ortiz, Michael",
    journal = "Journal of Biomechanics",
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    year = "2015",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20151130-103341973",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/63455,
    title ="Investigation of elastic wave transmission in a metaconcrete slab",
    author = "Mitchell, Stephanie J. and Pandolfi, Anna and Ortiz, Michael",
    journal = "Mechanics of Materials",
    volume = "91",
    
    pages = "295-303",
    month = "December",
    year = "2015",
    doi = "https://doi.org/10.1016/j.mechmat.2015.08.004",
    
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/61215,
    title ="A nonlocal model of fracture by crazing in polymers",
    author = "Heyden, S. and Conti, S. and Ortiz, M.",
    journal = "Mechanics of Materials",
    volume = "90",
    
    pages = "131-139",
    month = "November",
    year = "2015",
    doi = "https://doi.org/10.1016/j.mechmat.2015.02.006",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20151016-131555916",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/61213,
    title ="Finite-temperature non-equilibrium quasi-continuum analysis of nanovoid growth in copper at low and high strain rates",
    author = "Ponga, M. and Ortiz, M. and Ariza, M. P.",
    journal = "Mechanics of Materials",
    volume = "90",
    
    pages = "253-267",
    month = "November",
    year = "2015",
    doi = "https://doi.org/10.1016/j.mechmat.2015.02.007",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20151016-125346179",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/59784,
    title ="The Line-Tension Approximation as the Dilute Limit of Linear-Elastic Dislocations",
    author = "Conti, Sergio and Garroni, Adriana and Ortiz, Michael",
    journal = "Archive for Rational Mechanics and Analysis",
    volume = "218",
    number = "2",
    pages = "699-755",
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    year = "2015",
    doi = "https://doi.org/10.1007/s00205-015-0869-7",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150820-094455406",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83303,
    title ="Modeling thermal conductivity in silicon nanowires",
    author = "Martin, C. S. and Ariza, M. P. and Ortiz, M.",
    journal = "GAMM-Mitteilungen",
    volume = "38",
    number = "2",
    pages = "201-212",
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    year = "2015",
    doi = "https://doi.org/10.1002/gamm.201510011",
    
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/59008,
    title ="Acceleration of material-dominated calculations via phase-space simplicial subdivision and interpolation",
    author = "Klusemann, B. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "103",
    number = "4",
    pages = "256-274",
    month = "July",
    year = "2015",
    doi = "https://doi.org/10.1002/nme.4887",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150724-105805749",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/58616,
    title ="Scaling Laws in the Ductile Fracture of Metallic Crystals",
    author = "Baskes, M. I. and Ortiz, M.",
    journal = "Journal of Applied Mechanics",
    volume = "82",
    number = "7",
    pages = "Art. No. 071003",
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    year = "2015",
    doi = "https://doi.org/10.1115/1.4030329",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150625-135311281",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/57552,
    title ="Long-term atomistic simulation of hydrogen diffusion in metals",
    author = "Wang, K. G. and Ortiz, M. and Ariza, M. P.",
    journal = "International Journal of Hydrogen Energy",
    volume = "40",
    number = "15",
    pages = "5353-5358",
    month = "April",
    year = "2015",
    doi = "https://doi.org/10.1016/j.ijhydene.2015.01.110",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150515-073520397",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/51818,
    title ="A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity",
    author = "Heyden, S. and Li, B. and Weinberg, K. and Conti, S. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "74",
    
    pages = "175-195",
    month = "January",
    year = "2015",
    doi = "https://doi.org/10.1016/j.jmps.2014.08.005",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20141117-084849745",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/54407,
    title ="Material-point erosion simulation of dynamic fragmentation of metals",
    author = "Li, B. and Pandolfi, A. and Ortiz, M.",
    journal = "Mechanics of Materials",
    volume = "80",
    
    pages = "288-297",
    month = "January",
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    doi = "https://doi.org/10.1016/j.mechmat.2014.03.008",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150205-083744373",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/53030,
    title ="Discontinuous variational time integrators for complex multibody collisions",
    author = "Johnson, G. and Leyendecker, S. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "100",
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    year = "2014",
    doi = "https://doi.org/10.1002/nme.4764 ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20141219-081601928",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/50397,
    title ="Atomistic long-term simulation of heat and mass transport",
    author = "Venturini, G. and Wang, K. and Romero, I. and Ariza, M. P. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "73",
    
    pages = "242-268",
    month = "December",
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    doi = "https://doi.org/10.1016/j.jmps.2014.09.008",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20141015-093205200",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/75531,
    title ="Calculation of Optimal Bounds on the Probability of Failure of Soft Biological Tissues",
    author = "Balzani, Daniel and Schmidt, Thomas and Ortiz, Michael",
    journal = "Proceedings in Applied Mathematics and Mechanics",
    volume = "14",
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    pages = "93-94",
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    year = "2014",
    doi = "https://doi.org/10.1002/pamm.201410034",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170330-072907176",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/52194,
    title ="Optimal uncertainty quantification with model uncertainty and legacy data",
    author = "Kamga, P.-H. T. and Li, B. and McKerns, M. and Nguyen, L. H. and Ortiz, M. and Owhadi, H. and Sullivan, T. J.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "72",
    
    pages = "1-19",
    month = "December",
    year = "2014",
    doi = "https://doi.org/10.1016/j.jmps.2014.07.007",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20141201-081327318",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83304,
    title ="Atomistic Models of Long-Term Hydrogen Diffusion in Metals",
    author = "Ariza, M. P. and Wang, K. G. and Ortiz, M.",
    journal = "Advances in Science and Technology",
    volume = "93",
    
    pages = "118-123",
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    year = "2014",
    doi = "https://doi.org/10.4028/www.scientific.net/AST.93.118",
    
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/50165,
    title ="A massively parallel implementation of the Optimal Transportation Meshfree method for explicit solid dynamics",
    author = "Li, B. and Stalzer, M. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "100",
    number = "1",
    pages = "40-61",
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    doi = "https://doi.org/10.1002/nme.4710",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20141002-101310343",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/45594,
    title ="Metaconcrete: designed aggregates to enhance dynamic performance",
    author = "Mitchell, Stephanie J. and Pandolfi, Anna and Ortiz, Michael",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "65",
    
    pages = "69-81",
    month = "April",
    year = "2014",
    doi = "https://doi.org/10.1016/j.jmps.2014.01.003",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140508-084344238",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/44538,
    title ="Optimal Scaling in Solids Undergoing Ductile Fracture by Void Sheet Formation",
    author = "Fokoua, Landry and Conti, Sergio and Ortiz, Michael",
    journal = "Archive for Rational Mechanics and Analysis",
    volume = "212",
    number = "1",
    pages = "331-357",
    month = "April",
    year = "2014",
    doi = "https://doi.org/10.1007/s00205-013-0687-8",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140327-112854588",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/43415,
    title ="The special-linear update: An application of differential manifold theory to the update of isochoric plasticity flow rules",
    author = "Hurtado, D. E. and Stainier, L. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "97",
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    year = "2014",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140116-143601176",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/43587,
    title ="Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity",
    author = "Fokoua, Landry and Conti, Sergio and Ortiz, Michael",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "62",
    
    pages = "295-311",
    month = "January",
    year = "2014",
    doi = "https://doi.org/10.1016/j.jmps.2013.11.002",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140130-134426507",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/42336,
    title ="Automatically inf-sup compliant diamond-mixed finite elements for Kirchhoff plates",
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    journal = "International Journal for Numerical Methods in Engineering",
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    doi = "https://doi.org/10.1002/nme.4555",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20131108-093716091",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/43284,
    title ="Modeling fracture by material-point erosion",
    author = "Pandolfi, A. and Li, B. and Ortiz, M.",
    journal = "International Journal of Fracture",
    volume = "184",
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    pages = "3-16",
    month = "November",
    year = "2013",
    doi = "https://doi.org/10.1007/s10704-012-9788-x",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140109-090108326",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/42555,
    title ="Optimal Uncertainty Quantification for Legacy Data Observations of Lipschitz Functions",
    author = "Sullivan, T. J. and McKerns, M. and Meyer, D. and Theil, F. and Owhadi, H. and Ortiz, M.",
    journal = "ESAIM-Mathematical Modelling and Numerical Analysis",
    volume = "47",
    number = "6",
    pages = "1657-1689",
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    doi = "https://doi.org/10.1051/m2an/2013083   ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20131119-093417975",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/42235,
    title ="A Γ-Convergence Analysis of the Quasicontinuum Method",
    author = "Español, Malena I. and Kochmann, Dennis M. and Conti, Sergio and Ortiz, Michael",
    journal = "Multiscale Modeling and Simulation",
    volume = "11",
    number = "3",
    pages = "766-794",
    month = "August",
    year = "2013",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20131104-155146267",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/38962,
    title ="Optimal Uncertainty Quantification",
    author = "Owhadi, H. and Scovel, C. and Sullivan, T. J. and McKerns, M. and Ortiz, M.",
    journal = "SIAM Review",
    volume = "55",
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    month = "May",
    year = "2013",
    doi = "https://doi.org/10.1137/10080782X",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130618-075057070",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/37057,
    title ="A micromechanical model of distributed damage due to void growth in general materials and under general deformation\u2009histories",
    author = "Reina, Celia and Li, Bo and Weinberg, Kerstin and Ortiz, Michael",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "93",
    number = "6",
    pages = "575-611",
    month = "February",
    year = "2013",
    doi = "https://doi.org/10.1002/nme.4397   ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130221-133820482",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/37222,
    title ="Elastic response of water-filled fiber composite tubes under shock wave loading",
    author = "Perotti, L. E. and Deiterding, R. and Inaba, K. and Shepherd, J. and Ortiz, M.",
    journal = "International Journal of Solids and Structures",
    volume = "50",
    number = "3-4",
    pages = "473-486",
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    doi = "https://doi.org/10.1016/j.ijsolstr.2012.10.015   ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130301-090507891",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83306,
    title ="Thermalization of rate-independent processes by entropic regularization",
    author = "Sullivan, T. J. and Koslowski, M. and Theil, F. and Ortiz, Michael",
    journal = "Discrete and Continuous Dynamical Systems Series S",
    volume = "6",
    number = "1",
    pages = "215-233",
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    year = "2013",
    doi = "https://doi.org/10.3934/dcdss.2013.6.215",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171117-150903971",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/36381,
    title ="Finite element analysis of geometrically necessary dislocations in crystal plasticity",
    author = "Hurtado, Daniel E. and Ortiz, Michael",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "93",
    number = "1",
    pages = "66-79",
    month = "January",
    year = "2013",
    doi = "https://doi.org/10.1002/nme.4376",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130115-101157040",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65393,
    title ="Coarse-graining Kohn-Sham Density Functional Theory",
    author = "Suryanarayana, Phanish and Bhattacharya, Kaushik and Ortiz, Michael",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "61",
    number = "1",
    pages = "38-60",
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    doi = "https://doi.org/10.1016/j.jmps.2012.09.002",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160316-132823605",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/35775,
    title ="Coarse-graining Kohn–Sham Density Functional Theory",
    author = "Suryanarayana, Phanish and Bhattacharya, Kaushik and Ortiz, Michael",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "61",
    number = "1",
    pages = "38-60",
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    doi = "https://doi.org/10.1016/j.jmps.2012.09.002",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20121204-074348348",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/38988,
    title ="Large scale Optimal Transportation Meshfree (OTM) Simulations of\r Hypervelocity Impact",
    author = "Li, B. and Perotti, L. and Adams, M. and Mihaly, J. and Rosakis, A. J. and Stalzer, M. and Ortiz, Michael",
    journal = "Procedia Engineering",
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    pages = "320-327",
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    doi = "https://doi.org/10.1016/j.proeng.2013.05.036",
    
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/35734,
    title ="An eigenerosion approach to brittle fracture",
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    journal = "International Journal for Numerical Methods in Engineering",
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    year = "2012",
    doi = "https://doi.org/10.1002/nme.4352",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20121129-135118318",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/35718,
    title ="Relaxed incremental variational formulation for damage at large strains with application to fiber-reinforced materials and materials with truss-like microstructures",
    author = "Balzani, Daniel and Ortiz, Michael",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "92",
    number = "6",
    pages = "551-570",
    month = "November",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/35318,
    title ="A linear programming-based algorithm for the signed separation of (non-smooth) convex bodies",
    author = "Johnson, G. and Ortiz, M. and Leyendecker, S.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
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    pages = "49-67",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/32622,
    title ="Surface effects and the size-dependent hardening and strengthening of nickel micropillars",
    author = "Hurtado, Daniel E. and Ortiz, Michael",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "60",
    number = "8",
    pages = "1432-1446",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120720-152701866",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/32062,
    title ="Stacking faults and partial dislocations in graphene",
    author = "Ariza, M. P. and Serrano, R. and Mendez, J. P. and Ortiz, M.",
    journal = "Philosophical Magazine",
    volume = "92",
    number = "16",
    pages = "2004-2021",
    month = "June",
    year = "2012",
    doi = "https://doi.org/10.1080/14786435.2012.657254",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120625-113231865",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/35769,
    title ="Convergence Analysis of Meshfree Approximation Schemes",
    author = "Bompadre, A. and Schmidt, B. and Ortiz, M.",
    journal = "SIAM Journal on Numerical Analysis",
    volume = "50",
    number = "3",
    pages = "1344-1366",
    month = "May",
    year = "2012",
    doi = "https://doi.org/10.1137/110828745",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20121203-131119602",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/31647,
    title ="Convergent meshfree approximation schemes of arbitrary order and smoothness",
    author = "Bompadre, A. and Perotti, L. E. and Cyron, C. J. and Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "221-222",
    
    pages = "83-103",
    month = "May",
    year = "2012",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120525-095216954",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/31267,
    title ="Rigorous model-based uncertainty quantification with application to terminal ballistics, part I: Systems with controllable inputs and small scatter",
    author = "Kidane, A. and Lashgari, A. and Li, B. and McKerns, M. and Ortiz, M. and Owhadi, H. and Ravichandran, G. and Stalzer, M. and Sullivan, T. J.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "60",
    number = "5",
    pages = "983-1001",
    month = "May",
    year = "2012",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120502-091106236",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/30402,
    title ="Rigorous model-based uncertainty quantification with application to terminal ballistics—Part II. Systems with uncontrollable inputs and large scatter",
    author = "Adams, M. and Lashgari, A. and Li, B. and McKerns, M. and Mihaly, J. and Ortiz, M. and Owhadi, H. and Rosakis, A. J. and Stalzer, M. and Sullivan, T. J.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "60",
    number = "5",
    pages = "1002-1019",
    month = "May",
    year = "2012",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120430-133945935",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/29953,
    title ="Verification and validation of the Optimal Transportation Meshfree (OTM) simulation of terminal ballistics",
    author = "Li, B. and Kidane, A. and Ravichandran, G. and Ortiz, M.",
    journal = "International Journal of Impact Engineering",
    volume = "42",
    
    pages = "25-36",
    month = "April",
    year = "2012",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120403-094946212",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/30391,
    title ="Double kink mechanisms for discrete dislocations in BCC\r crystals",
    author = "Ariza, M. P. and Tellechea, E. and Menguiano, A. S. and Ortiz, M.",
    journal = "International Journal of Fracture",
    volume = "174",
    number = "1",
    pages = "29-40",
    month = "March",
    year = "2012",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120430-084558611",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/30387,
    title ="HotQC simulation of nanovoid growth under tension\r in copper",
    author = "Ariza, M. P. and Romero, I. and Ponga, M. and Ortiz, M.",
    journal = "International Journal of Fracture",
    volume = "174",
    number = "1",
    pages = "75-85",
    month = "March",
    year = "2012",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120430-074243222",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/27960,
    title ="Mesoscopic approach to granular crystal dynamics",
    author = "Gonzalez, Marcial and Yang, Jinkyu and Daraio, Chiara and Ortiz, Michael",
    journal = "Physical Review E",
    volume = "85",
    number = "1",
    pages = "Art. No. 016604",
    month = "January",
    year = "2012",
    doi = "https://doi.org/10.1103/PhysRevE.85.016604",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20111128-085742465",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/31515,
    title ="Thermal Expansion Behavior of AL and TA Using a Finite-Temperature Extension of the Quasicontinuum Method",
    author = "Venturini, G. and Marian, J. and Knap, J. and Campbell, G. and Ortiz, M.",
    journal = "International Journal for Multiscale Computational Engineering",
    volume = "10",
    number = "1",
    pages = "1-11",
    month = "January",
    year = "2012",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120517-081016822",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84936,
    title ="From atomistics to the continuum: a mesh-free quasicontinuum formulation based on local max-ent approximation schemes",
    author = "Kochmann, Dennis M. and Amelang, Jeffrey S. and Español, Malena I. and Ortiz, Michael",
    journal = "PAMM",
    volume = "11",
    number = "1",
    pages = "393-394",
    month = "December",
    year = "2011",
    doi = "https://doi.org/10.1002/pamm.201110188",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180223-110852480",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/27774,
    title ="Replica time integrators  ",
    author = "Venturini, G. and Yang, J. Z. and Ortiz, M. and Marsden, J. E.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "88",
    number = "6",
    pages = "586-611",
    month = "November",
    year = "2011",
    doi = "https://doi.org/10.1002/nme.3202   ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20111114-145609664",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/27163,
    title ="Nanovoid nucleation by vacancy aggregation and vacancy-cluster coarsening in high-purity metallic single crystals",
    author = "Reina, C. and Marian, J. and Ortiz, M.",
    journal = "Physical Review B",
    volume = "84",
    number = "10",
    pages = "104117",
    month = "September",
    year = "2011",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20111011-115920039",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/24982,
    title ="Rigorous uncertainty quantification without integral testing",
    author = "Topcu, U. and Lucas, L. J. and Owhadi, H. and Ortiz, M.",
    journal = "Reliability Engineering and System Safety",
    volume = "96",
    number = "9",
    pages = "1085-1091",
    month = "September",
    year = "2011",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110822-140452319",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/24173,
    title ="A mesh-free convex approximation scheme for Kohn–Sham density functional theory",
    author = "Suryanarayana, Phanish and Bhattacharya, Kaushik and Ortiz, Michael",
    journal = "Journal of Computational Physics",
    volume = "230",
    number = "13",
    pages = "5226-5238",
    month = "June",
    year = "2011",
    doi = "https://doi.org/10.1016/j.jcp.2011.03.018",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110623-074123014",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/23615,
    title ="A duality-based method for generating geometric representations of polycrystals",
    author = "Rimoli, J. J. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "86",
    number = "9",
    pages = "1069-1081",
    month = "June",
    year = "2011",
    doi = "https://doi.org/10.1002/nme.3090",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110510-105826693",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/22437,
    title ="A discrete mechanics approach to the Cosserat rod theory-Part 1: static equilibria",
    author = "Jung, Pascal and Leyendecker, Sigrid and Linn, Joachim and Ortiz, Michael",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "85",
    number = "1",
    pages = "31-60",
    month = "January",
    year = "2011",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110222-151826704",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/28780,
    title ="Modelo de fuerzas interatómicas para el grafeno a partir del potencial AIREBO\r ",
    author = "Ariza, M. P. and Ventura, C. and Ortiz, M.",
    journal = "Revista Internacional de Métodos Numéricos Para Cálculo Y Diseño en Ingeniería",
    volume = "27",
    number = "2",
    pages = "105-116",
    month = "January",
    year = "2011",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120113-102143268",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/21806,
    title ="Force-stepping integrators in Lagrangian mechanics",
    author = "Gonzalez, M. and Schmidt, B. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "84",
    number = "12",
    pages = "1407-1450",
    month = "December",
    year = "2010",
    doi = "https://doi.org/10.1002/nme.2942",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110119-101735770",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/22605,
    title ="An Eulerian hybrid WENO centered-difference solver for elastic-plastic solids",
    author = "Hill, D. J. and Pullin, D. and Ortiz, M. and Meiron, D.",
    journal = "Journal of Computational Physics",
    volume = "229",
    number = "24",
    pages = "9053-9072",
    month = "December",
    year = "2010",
    doi = "https://doi.org/10.1016/j.jcp.2010.08.020",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110302-102610242",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/22797,
    title ="Discrete mechanics and optimal control for constrained systems",
    author = "Leyendecker, S. and Ober-Bloebaum, S. and Marsden, J. E. and Ortiz, M.",
    journal = "Optimal Control Applications and Methods",
    volume = "31",
    number = "6",
    pages = "505-528",
    month = "November",
    year = "2010",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110310-100105962",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/20395,
    title ="Long-term dynamic stability of discrete dislocations in graphene at finite temperature",
    author = "Ariza, M. P. and Ortiz, M. and Serrano, R.",
    journal = "International Journal of Fracture",
    volume = "166",
    number = "1-2",
    pages = "215-223",
    month = "November",
    year = "2010",
    doi = "https://doi.org/10.1007/s10704-010-9527-0 ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20101012-093620068",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/20365,
    title ="On the convergence of 3D free discontinuity models in variational fracture",
    author = "Fraternali, Fernando and Negri, Matteo and Ortiz, Michael",
    journal = "International Journal of Fracture",
    volume = "166",
    number = "1-2",
    pages = "3-11",
    month = "November",
    year = "2010",
    doi = "https://doi.org/10.1007/s10704-010-9462-0",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20101011-101117330",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/20277,
    title ="Evolution of anodic stress corrosion cracking in a coated material",
    author = "Bjerkén, C. and Ortiz, M.",
    journal = "International Journal of Fracture",
    volume = "165",
    number = "2",
    pages = "211-221",
    month = "October",
    year = "2010",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20101004-105129323",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/20490,
    title ="Optimal transportation meshfree approximation schemes for fluid and plastic flows",
    author = "Li, B. and Habbal, F. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "83",
    number = "12",
    pages = "1541-1579",
    month = "September",
    year = "2010",
    doi = "https://doi.org/10.1002/nme.2869 ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20101022-154521445",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/18996,
    title ="Dislocation subgrain structures and modeling the plastic hardening of metallic single crystals",
    author = "Hansen, B. L. and Bronkhorst, C. A. and Ortiz, M.",
    journal = "Modelling and Simulation in Materials Science and Engineering",
    volume = "18",
    number = "5",
    pages = "Art. No. 055001",
    month = "July",
    year = "2010",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100712-142922131",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/18960,
    title ="Optimal Control Strategies for Robust Certification",
    author = "Leyendecker, Sigrid and Lucas, Leonard J. and Owhadi, Houman and Ortiz, Michael",
    journal = "Journal of Computational and Nonlinear Dynamics",
    volume = "5",
    number = "3",
    pages = "Art. No. 031008",
    month = "July",
    year = "2010",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100709-105908209",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83307,
    title ="Discrete dislocations in graphene",
    author = "Ariza, M. P. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "58",
    number = "5",
    pages = "710-734",
    month = "May",
    year = "2010",
    doi = "https://doi.org/10.1016/j.jmps.2010.02.008",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171117-151152380",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/18297,
    title ="Energy-stepping integrators in Lagrangian mechanics",
    author = "Gonzalez, M. and Schmidt, B. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "82",
    number = "2",
    pages = "205-241",
    month = "April",
    year = "2010",
    doi = "https://doi.org/10.1002/nme.2753 ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100513-140146860",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/17985,
    title ="Measurement of the Depth of Maximum of Extensive Air Showers above 10^(18)\u2009eV",
    author = "Abraham, J. and Abreu, P. and Aglietta, M. and Ahn, E. J. and Allard, D. and Allekotte, I. and Allen, J. and Alvarez-Muñiz, J. and Ambrosio, M. and Anchordoqui, L. and Andringa, S. and Antičić, T. and Anzalone, A. and Aramo, C. and Arganda, E. and Arisaka, K. and Arqueros, F. and Asorey, H. and Assis, P. and Aublin, J. and Ave, M. and Avila, G. and Bäcker, T. and Badagnani, D. and Balzer, M. and Barber, K. B. and Barbosa, A. F. and Barroso, S. L. C. and Baughman, B. and Bauleo, P. and Beatty, J. J. and Becker, B. R. and Becker, K. H. and Bellétoile, A. and Bellido, J. A. and BenZvi, S. and Berat, C. and Bergmann, T. and Bertou, X. and Biermann, P. L. and Billoir, P. and Blanch-Bigas, O. and Blanco, F. and Blanco, M. and Bleve, C. and Blümer, H. and Boháčová, M. and Boncioli, D. and Bonifazi, C. and Bonino, R. and Borodai, N. and Brack, J. and Brogueira, P. and Brown, W. C. and Bruijn, R. and Buchholz, D. and Bueno, A. and Burton, R. E. and Busca, N. G. and Caballero-Mora, K. S. and Caramete, L. and Caruso, R. and Castellina, A. and Catalano, O. and Cataldi, G. and Cazon, L. and Cester, R. and Chauvin, J. and Chiavassa, A. and Chinellato, J. A. and Chou, A. and Chudoba, J. and Clay, R. W. and Colombo, E. and Coluccia, M. R. and Conceição, R. and Contreras, F. and Cook, H. and Cooper, M. J. and Coppens, J. and Cordier, A. and Cotti, U. and Coutu, S. and Covault, C. E. and Creusot, A. and Criss, A. and Cronin, J. and Curutiu, A. and Dagoret-Campagne, S. and Dallier, R. and Daumiller, K. and Dawson, B. R. and de-Almeida, R. M. and De-Domenico, M. and De-Donato, C. and De-Jong, S. J. and De-La-Vega, G. and de-Mello Junior, W. J. M. and de-Mello-Neto, J. R. T. and De-Mitri, I. and de-Souza, V. and de-Vries, K. D. and Decerprit, G. and del-Peral, L. and Deligny, O. and Della-Selva, A. and Delle-Fratte, C. and Dembinski, H. and Di-Giulio, C. and Diaz, J. C. and Diaz-Castro, M. L. and Diep, P. N. and Dobrigkeit, C. and D'Olivo, J. C. and Dong, P. N. and Dorofeev, A. and dos-Anjos, J. C. and Dova, M. T. and D'Urso, D. and Dutan, I. and Du-Vernois, M. A. and Ebr, J. and Engel, R. and Erdmann, M. and Escobar, C. O. and Etchegoyen, A. and Facal San Luis, P. and Falcke, H. and Farrar, G. and Fauth, A. C. and Fazzini, N. and Ferrero, A. and Fick, B. and Filevich, A. and Filipčič, A. and Fleck, I. and Fliescher, S. and Fracchiolla, C. E. and Fraenkel, E. D. and Fröhlich, U. and Fulgione, W. and Gamarra, R. F. and Gambetta, S. and García, B. and García-Gámez, D. and Garcia-Pinto, D. and Garrido, X. and Gelmini, G. and Gemmeke, H. and Ghia, P. L. and Giaccari, U. and Giller, M. and Glass, H. and Goggin, L. M. and Gold, M. S. and Golup, G. and Gomez-Albarracin, F. and Gόmez Berisso, M. and Gonçalves, P. and Gonzalez, D. and Gonzalez, J. G. and Gόra, D. and Gorgi, A. and Gouffon, P. and Gozzini, S. R. and Grashorn, E. and Grebe, S. and Grigat, M. and Grillo, A. F. and Guardincerri, Y. and Guarino, F. and Guedes, G. P. and Hague, J. D. and Halenka, V. and Hansen, P. and Harari, D. and Harmsma, S. and Harton, J. L. and Haungs, A. and Hebbeker, T. and Heck, D. and Herve, A. E. and Hojvat, C. and Holmes, V. C. and Homola, P. and Hörandel, J. R. and Horneffer, A. and Hrabovskỷ, M. and Huege, T. and Hussain, M. and Iarlori, M. and Insolia, A. and Ionita, F. and Italiano, A. and Jiraskova, S. and Kadija, K. and Kaducak, M. and Kampert, K. H. and Karova, T. and Kasper, P. and Kégl, B. and Keilhauer, B. and Keivani, A. and Kelley, J. and Kemp, E. and Kieckhafer, R. M. and Klages, H. O. and Kleifges, M. and Kleinfeller, J. and Knapik, R. and Knapp, J. and Koang, D.-H. and Krieger, A. and Krömer, O. and Kruppke-Hansen, D. and Kuehn, F. and Kuempel, D. and Kulbartz, K. and Kunka, N. and Kusenko, A. and La-Rosa, G. and Lachaud, C. and Lago, B. L. and Lautridou, P. and Leão, M. S. A. B. and Lebrun, D. and Lebrun, P. and Lee, J. and Leigui-de-Oliveira, M. 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R. and Sommers, P. and Sorokin, J. and Spinka, H. and Squartini, R. and Stasielak, J. and Stephan, M. and Strazzeri, E. and Stutz, A. and Suarez, F. and Suomijärvi, T. and Supanitsky, A. D. and Šuša, T. and Sutherland, M. S. and Swain, J. and Szadkowski, Z. and Tamashiro, A. and Tamburro, A. and Tapia, A. and Tarutina, T. and Taşcău, O. and Tcaciuc, R. and Tcherniakhovski, D. and Tegolo, D. and Thao, N. T. and Thomas, D. and Tiffenberg, J. and Timmermans, C. and Tkaczyk, W. and Todero-Peixoto, C. J. and Tomé, B. and Tonachini, A. and Travnicek, P. and Tridapalli, D. B. and Tristram, G. and Trovato, E. and Tueros, M. and Ulrich, R. and Unger, M. and Urban, M. and Valdés-Galicia, J. F. and Valiño, I. and Valore, L. and van-den-Berg, A. M. and Vázquez, J. R. and Vázquez, R. A. and Veberič, D. and Venters, T. and Verzi, V. and Videla, M. and Villaseñor, L. and Vorobiov, S. and Voyvodic, L. and Wahlberg, H. and Wahrlich, P. and Wainberg, O. and Warner, D. and Watson, A. A. and Westerhoff, S. and Whelan, B. J. and Wieczorek, G. and Wiencke, L. and Wilczyńska, B. and Wilczyński, H. and Williams, C. and Winchen, T. and Winnick, M. G. and Wundheiler, B. and Yamamoto, T. and Younk, P. and Yuan, G. and Yushkov, A. and Zas, E. and Zavrtanik, D. and Zavrtanik, M. and Zaw, I. and Zepeda, A. and Ziolkowski, M.",
    journal = "Physical Review Letters",
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    year = "2010",
    doi = "https://doi.org/10.1103/PhysRevLett.104.091101",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100415-075729464",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/17590,
    title ="Study and validation of a variational theory of thermo-mechanical coupling in finite visco-plasticity \r ",
    author = "Stainier, L. and Ortiz, M.",
    journal = "International Journal of Solids and Structures",
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    doi = "https://doi.org/10.1016/j.ijsolstr.2009.11.012",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100225-094200302",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/17632,
    title ="Non-periodic finite-element formulation of Kohn–Sham density functional theory",
    author = "Suryanarayana, Phanish and Vikram, Gavini and Blesgen, Thomas and Bhattacharya, Kaushik and Ortiz, Michael",
    journal = "Journal of the Mechanics and Physics of Solids",
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    pages = "256-280",
    month = "February",
    year = "2010",
    doi = "https://doi.org/10.1016/j.jmps.2009.10.002",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100302-131546235",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/17272,
    title ="Finite-temperature extension of the quasicontinuum method using Langevin dynamics: entropy losses and analysis of errors",
    author = "Marian, J. and Venturini, G. and Hansen, B. L. and Knapp, J. and Ortiz, M. and Campbell, G. H.",
    journal = "Modelling and Simulation in Materials Science and Engineering",
    volume = "18",
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    year = "2010",
    doi = "https://doi.org/10.1088/0965-0393/18/1/015003",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100121-141104452",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/17494,
    title ="Shock-induced subgrain microstructures as possible homogenous sources of hot spots and initiation sites in energetic polycrystals",
    author = "Rimoli, J. J. and Gürses, E. and Ortiz, M.",
    journal = "Physical Review B",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100216-152951955",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/18789,
    title ="A three-dimensional multiscale model of intergranular hydrogen-assisted cracking",
    author = "Rimoli, J. J. and Ortiz, M.",
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    month = "January",
    year = "2010",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100624-085532611",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/16452,
    title ="Smooth, second order, non-negative meshfree approximants selected by maximum entropy",
    author = "Cyron, C. J. and Arroyo, M. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20091022-115918749",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/16848,
    title ="Atmospheric effects on extensive air showers observed with the surface detector of the Pierre Auger observatory",
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J. and Rautenberg, J. and Ravel, O. and Ravignani, D. and Redondo, A. and Reucroft, S. and Revenu, B. and Rezende, F. A. S. and Ridky, J. and Riggi, S. and Risse, M. and Rivière, C. and Rizi, V. and Robledo, C. and Rodriguez, G. and Rodriguez-Martino, J. and Rodriguez-Rojo, J. and Rodriguez-Cabo, I. and Rodríguez-Frías, M. D. and Ros, G. and Rosado, J. and Rossler, T. and Roth, M. and Rouillé-d'Orfeui, A. and Roulet, E. and Rovero, A. C. and Salamida, F. and Salazar, H. and Salina, G. and Sánchez, F. and Santander, M. and Santo, C. E. and Santos, E. M. and Sarazin, F. and Sarkar, S. and Sato, R. and Scharf, N. and Scherini, V. and Schieler, H. and Schiffer, P. and Schmidt, A. and Schmidt, F. and Schmidt, T. and Scholten, O. and Schoorlemmer, H. and Schovancova, J. and Schovánek, P. and Schroeder, F. and Schulte, S. and Schüssler, F. and Schuster, D. and Sciutto, S. J. and Scuderi, M. and Segreto, A. and Semikoz, D. and Settimo, M. and Shellard, R. C. and Sidelnik, I. and Siffert, B. B. and Smiałkowski, A. and Šmída, R. and Smith, B. E. and Snow, G. R. and Sommers, P. and Sorokin, J. and Spinka, H. and Squartini, R. and Strazzeri, E. and Stutz, A. and Suarez, F. and Suomijärvi, T. and Supanitsky, A. D. and Sutherland, M. S. and Swain, J. and Szadkowski, Z. and Tamashiro, A. and Tamburro, A. and Tarutina, T. and Taşcău, O. and Tcaciuc, R. and Tcherniakhovski, D. and Thao, N. T. and Thomas, D. and Ticona, R. and Tiffenberg, J. and Timmermans, C. and Tkaczyk, W. and Todero-Peixoto, C. J. and Tomé, B. and Tonachini, A. and Torres, I. and Travnicek, P. and Tridapalli, D. B. and Tristram, G. and Trovato, E. and Tuci, V. and Tueros, M. and Ulrich, R. and Unger, M. and Urban, M. and Valdés-Galicia, J. F. and Valiño, I. and Valore, L. and van den Berg, A. M. and Vázquez, J. R. and Vázquez, R. A. and Veberič, D. and Velarde, A. and Venters, T. and Verzi, V. and Videla, M. and Villaseñor, L. and Vorobiov, S. and Voyvodic, L. and Wahlberg, H. and Wahrlich, P. and Wainberg, O. and Warner, D. and Watson, A. A. and Westerhoff, S. and Whelan, B. J. and Wieczorek, G. and Wiencke, L. and Wilczyńska, B. and Wilczyński, H. and Wileman, C. and Winnick, M. G. and Wu, H. and Wundheiler, B. and Yamamoto, T. and Younk, P. and Yuan, G. and Zas, E. and Zavrtanik, D. and Zavrtanik, M. and Zaw, I. and Zepeda, A. and Ziolkowski, M.",
    journal = "Astroparticle Physics",
    volume = "32",
    number = "2",
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    month = "September",
    year = "2009",
    doi = "https://doi.org/10.1016/j.astropartphys.2009.06.004",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20091201-094133422",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/15612,
    title ="Fracture Paths from Front Kinetics: Relaxation and Rate Independence",
    author = "Larsen, C. J. and Ortiz, M. and Richardson, C. L.",
    journal = "Archive for Rational Mechanics and Analysis",
    volume = "193",
    number = "3",
    pages = "539-583",
    month = "September",
    year = "2009",
    doi = "https://doi.org/10.1007/s00205-009-0216-y",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090904-105348917",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/14904,
    title ="Kidney damage in extracorporeal shock wave lithotripsy: a numerical approach for different shock profiles",
    author = "Weinberg, Kerstin and Ortiz, Michael",
    journal = "Biomechanics and Modeling in Mechanobiology",
    volume = "8",
    number = "4",
    pages = "285-299",
    month = "August",
    year = "2009",
    doi = "https://doi.org/10.1007/s10237-008-0135-0",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090808-142504866",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/14119,
    title ="Experimental validation of large-scale simulations of dynamic fracture along weak planes",
    author = "Chalivendra, Vijaya B. and Hong, Soosung and Arias, Irene and Knap, Jaroslaw and Rosakis, Ares and Ortiz, Michael",
    journal = "International Journal of Impact Engineering",
    volume = "36",
    number = "7",
    pages = "888-898",
    month = "July",
    year = "2009",
    doi = "https://doi.org/10.1016/j.ijimpeng.2008.11.009",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090430-111534836",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/15620,
    title ="On the behavior of dissipative systems in contact with a heat bath: Application to Andrade creep\r ",
    author = "Sullivan, T. and Koslowski, M. and Theil, F. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "57",
    number = "7",
    pages = "1058-1077",
    month = "July",
    year = "2009",
    doi = "https://doi.org/10.1016/j.jmps.2009.03.006",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090904-125145240",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/14445,
    title ="A numerical model of light adjustable lens",
    author = "Pandolfi, Anna and Ortiz, Michael",
    journal = "Computational Mechanics",
    volume = "44",
    number = "1",
    pages = "133-143",
    month = "June",
    year = "2009",
    doi = "https://doi.org/10.1007/s00466-008-0361-4",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090624-131751374",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/15842,
    title ="Γ-convergence of Variational Integrators for Constrained Systems",
    author = "Schmidt, Bernd and Leyendecker, Sigrid and Ortiz, Michael",
    journal = "Journal of Nonlinear Science",
    volume = "19",
    number = "2",
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    month = "April",
    year = "2009",
    doi = "https://doi.org/10.1007/s00332-008-9030-1",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090914-142014445",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/14875,
    title ="Computational assessment of ballistic impact on a high strength structural steel/polyurea composite plate \r ",
    author = "El Sayed, T. and Mock, Willis, Jr. and Mota, Alejandro and Fraternali, Fernando and Ortiz, Michael",
    journal = "Computational Mechanics",
    volume = "43",
    number = "4",
    pages = "525-534",
    month = "March",
    year = "2009",
    doi = "https://doi.org/10.1007/s00466-008-0327-6",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090807-150328529",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/13325,
    title ="Eigenfracture: An Eigendeformation Approach to Variational Fracture",
    author = "Schmidt, Bernd and Fraternali, Fernando and Ortiz, Michael",
    journal = "Multiscale Modeling and Simulation",
    volume = "7",
    number = "3",
    pages = "1237-1266",
    month = "February",
    year = "2009",
    doi = "https://doi.org/10.1137/080712568",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:SCHMmms09",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/13419,
    title ="An error-estimate-free and remapping-free variational mesh refinement and coarsening method for dissipative solids at finite strains",
    author = "Mosler, J. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "77",
    number = "3",
    pages = "437-450",
    month = "January",
    year = "2009",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:MOSijnme09",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/12555,
    title ="Biomechanics of traumatic brain injury",
    author = "El Sayed, Tamer and Mota, Alejandro and Fraternali, Fernando and Ortiz, Michael",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "197",
    number = "51-52",
    pages = "4692-4701",
    month = "October",
    year = "2008",
    doi = "https://doi.org/10.1016/j.cma.2008.06.006",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:ELScmame08",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/12554,
    title ="Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities",
    author = "Lucas, L. J. and Owhadi, H. and Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "197",
    number = "51-52",
    pages = "4591-4609",
    month = "October",
    year = "2008",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:LUCcmame08",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/12327,
    title ="Effect of atomic scale plasticity on hydrogen diffusion in iron: Quantum mechanically informed and on-the-fly kinetic Monte Carlo simulations",
    author = "Ramasubramaniam, A. and Itakura, M. and Ortiz, M. and Carter, E. A.",
    journal = "Journal of Materials Research",
    volume = "23",
    number = "10",
    pages = "2757-2773",
    month = "October",
    year = "2008",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:RAMjmr08",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/13634,
    title ="Variational integrators for constrained dynamical systems",
    author = "Leyendecker, Sigrid and Marsden, Jerrold E. and Ortiz, Michael",
    journal = "Zeitschrift für Angewandte Mathematik und Mechanik",
    volume = "88",
    number = "9",
    pages = "677-708",
    month = "September",
    year = "2008",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:LEYzamm08",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83393,
    title ="A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems",
    author = "Mielke, Alexander and Ortiz, Michael",
    journal = "ESAIM: Control, Optimisation and Calculus of Variations",
    volume = "14",
    number = "3",
    pages = "494-516",
    month = "July",
    year = "2008",
    doi = "https://doi.org/10.1051/cocv:2007064",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171121-095528613",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/20026,
    title ="Variational r-adaption in elastodynamics",
    author = "Zielonka, M. G. and Ortiz, M. and Marsden, J. E.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "74",
    number = "7",
    pages = "1162-1197",
    month = "May",
    year = "2008",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100917-153815166",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83310,
    title ="Minimum principles for the trajectories of systems governed by rate problems",
    author = "Conti, S. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "56",
    number = "5",
    pages = "1885-1904",
    month = "May",
    year = "2008",
    doi = "https://doi.org/10.1016/j.jmps.2007.11.006",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171117-152209057",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83392,
    title ="A variational approach to coarse graining of equilibrium and non-equilibrium atomistic description at finite temperature",
    author = "Kulkarni, Yashashree and Knapp, Jaroslaw and Ortiz, Michael",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "56",
    number = "4",
    pages = "1417-1449",
    month = "April",
    year = "2008",
    doi = "https://doi.org/10.1016/j.jmps.2007.09.005",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171121-095259651",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83394,
    title ="Fracture and fragmentation of simplicial finite element meshes using graphs",
    author = "Mota, Alejandro and Knap, Jaroslaw and Ortiz, Michael",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "73",
    number = "11",
    pages = "1547-1570",
    month = "March",
    year = "2008",
    doi = "https://doi.org/10.1002/nme.2135",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171121-095741576",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/23631,
    title ="Numerical Analysis of Elastomeric Fluidic Microvalves",
    author = "Pandolfi, Anna and Ortiz, Michael",
    journal = "Sensor Letters",
    volume = "6",
    number = "1",
    pages = "43-48",
    month = "February",
    year = "2008",
    doi = "https://doi.org/10.1166/sl.2008.002",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110511-082733397",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84321,
    title ="A variational constitutive model for soft biological tissues",
    author = "El Sayed, Tamer and Mota, Alejandro and Fraternali, Fernando and Ortiz, Michael",
    journal = "Journal of Biomechanics",
    volume = "41",
    number = "7",
    pages = "1458-1466",
    month = "January",
    year = "2008",
    doi = "https://doi.org/10.1016/j.jbiomech.2008.02.023",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180112-160452524",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/9192,
    title ="Vacancy clustering and prismatic dislocation loop formation in aluminum",
    author = "Gavirini, Vikram and Bhattacharya, Kaushik and Ortiz, Michael",
    journal = "Physical Review B",
    volume = "76",
    number = "18",
    pages = "Art. No. 180101",
    month = "November",
    year = "2007",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:GAVprb07",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83403,
    title ="Variational h-adaption in finite deformation elasticity and plasticity",
    author = "Mosler, J. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "72",
    number = "5",
    pages = "505-523",
    month = "October",
    year = "2007",
    doi = "https://doi.org/10.1002/nme.2011",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171121-135438429",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83402,
    title ="Diamond elements: a finite element/discrete-mechanics approximation scheme with guaranteed optimal convergence in incompressible elasticity",
    author = "Hauret, P. and Kuhl, E. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "72",
    number = "3",
    pages = "253-294",
    month = "October",
    year = "2007",
    doi = "https://doi.org/10.1002/nme.1992",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171121-135247808",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/9018,
    title ="Constitutive model for plasticity in an amorphous polycarbonate",
    author = "Fortunelli, A. and Ortiz, M.",
    journal = "Physical Review E",
    volume = "76",
    number = "4",
    pages = "Art. No. 041806",
    month = "October",
    year = "2007",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:FORpre07",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/41747,
    title ="Anharmonic lattice statics analysis of 180º and 90º ferroelectric domain walls in PbTiO_3",
    author = "Yavari, A. and Ortiz, M. and Bhattacharya, K.",
    journal = "Philosophical Magazine",
    volume = "87",
    number = "26",
    pages = "3997-4026",
    month = "September",
    year = "2007",
    doi = "https://doi.org/ 10.1080/14786430701418956",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20131008-142756092",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83397,
    title ="Numerical modelling and experimental validation of dynamic fracture events along weak planes",
    author = "Arias, Irene and Knap, Jaroslaw and Chalivendra, Vijaya B. and Hong, Soonsung and Ortiz, Michael and Rosakis, Ares J.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "196",
    number = "37-40",
    pages = "3833-3840",
    month = "August",
    year = "2007",
    doi = "https://doi.org/10.1016/j.cma.2006.10.052",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171121-100722120",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/8062,
    title ="Improved design of low-pressure fluidic microvalves",
    author = "Pandolfi, Anna and Ortiz, Michael",
    journal = "Journal of Micromechanics and Microengineering",
    volume = "17",
    number = "8",
    pages = "1487-1493",
    month = "August",
    year = "2007",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:PANjmm07",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/21337,
    title ="Non-periodic finite-element formulation of orbital-free density functional theory",
    author = "Gavini, Vikram and Knap, Jaroslaw and Bhattacharya, Kaushik and Ortiz, Michael",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "55",
    number = "4",
    pages = "669-696",
    month = "April",
    year = "2007",
    doi = "https://doi.org/10.1016/j.jmps.2006.09.011 ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20101213-152730530",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/41723,
    title ="Quasi-continuum orbital-free density-functional theory: A route to multi-million atom non-periodic DFT calculation",
    author = "Gavini, Vikram and Bhattacharya, Kaushik and Ortiz, Michael",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "55",
    number = "4",
    pages = "697-718",
    month = "April",
    year = "2007",
    doi = "https://doi.org/10.1016/j.jmps.2007.01.012   ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20131007-153105987",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/8432,
    title ="Concurrent Multiscale Computing of Deformation Microstructure by Relaxation and Local Enrichment with Application to Single-Crystal Plasticity",
    author = "Conti, Sergio and Hauret, Patrice and Ortiz, Michael",
    journal = "Multiscale Modeling & Simulation",
    volume = "6",
    number = "1",
    pages = "135-157",
    month = "March",
    year = "2007",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:CONmms07",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83404,
    title ="A discrete mechanics approach to dislocation dynamics in BCC crystals",
    author = "Ramasubramaniam, A. and Ariza, M. P. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "55",
    number = "3",
    pages = "615-647",
    month = "March",
    year = "2007",
    doi = "https://doi.org/10.1016/j.jmps.2006.08.005",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171121-135628923",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/41785,
    title ="A theory of anharmonic lattice statics for analysis of defective crystals",
    author = "Yavari, Arash and Ortiz, Michael and Bhattacharya, Kaushik",
    journal = "Journal of Elasticity",
    volume = "86",
    number = "1",
    pages = "41-83",
    month = "January",
    year = "2007",
    doi = "https://doi.org/10.1007/s10659-006-9079-8",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20131009-090857631",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/24435,
    title ="A recursive-faulting model of distributed damage in confined brittle materials",
    author = "Pandolfi, A. and Conti, S. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "54",
    number = "9",
    pages = "1972-2003",
    month = "September",
    year = "2006",
    doi = "https://doi.org/10.1016/j.jmps.2006.02.003 ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110715-150624112",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83502,
    title ="On the numerical implementation of variational arbitrary Lagrangian–Eulerian (VALE) formulations",
    author = "Mosler, J. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "67",
    number = "9",
    pages = "1272-1289",
    month = "August",
    year = "2006",
    doi = "https://doi.org/10.1002/nme.1621",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-102503230",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83499,
    title ="BV estimates for mortar methods in linear elasticity",
    author = "Hauret, Patrice and Ortiz, Michael",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "195",
    number = "37-40",
    pages = "4783-4793",
    month = "July",
    year = "2006",
    doi = "https://doi.org/10.1016/j.cma.2005.09.021",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-101948445",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83500,
    title ="Prediction of dislocation nucleation during nanoindentation of Al_3Mg by the orbital-free density functional theory local quasicontinuum method",
    author = "Hayes, Robin L. and Ho, Gregory and Ortiz, Michael and Carter, Emily A.",
    journal = "Philosophical Magazine",
    volume = "86",
    number = "16",
    pages = "2343-2358",
    month = "June",
    year = "2006",
    doi = "https://doi.org/10.1080/14786430500525829",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-102135095",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83501,
    title ="Quantum mechanics based multiscale modeling of stress-induced phase transformations in iron",
    author = "Lew, A. and Caspersen, K. and Carter, E. A. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "54",
    number = "6",
    pages = "1276-1303",
    month = "June",
    year = "2006",
    doi = "https://doi.org/10.1016/j.jmps.2005.11.009",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-102325449",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83496,
    title ="Effective Cohesive Behavior of Layers of Interatomic Planes",
    author = "Braides, Andrea and Lew, Adrian J. and Ortiz, Michael",
    journal = "Archive for Rational Mechanics and Analysis",
    volume = "180",
    number = "2",
    pages = "151-182",
    month = "May",
    year = "2006",
    doi = "https://doi.org/10.1007/s00205-005-0399-9",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-101614160",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/4639,
    title ="On spatial and material covariant balance laws in elasticity",
    author = "Yavari, Arash and Marsden, Jerrold E. and Ortiz, Michael",
    journal = "Journal of Mathematical Physics",
    volume = "47",
    number = "4",
    pages = "Art. No. 042903",
    month = "April",
    year = "2006",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:YAVjmp06",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83494,
    title ="Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods",
    author = "Arroyo, M. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "65",
    number = "13",
    pages = "2167-2202",
    month = "February",
    year = "2006",
    doi = "https://doi.org/10.1002/nme.1534",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-101329930",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/99367,
    title ="A phenomenological cohesive model of ferroelectric fatigue",
    author = "Arias, I. and Serebrinsky, S. and Ortiz, M.",
    journal = "Acta Materialia",
    volume = "54",
    number = "4",
    pages = "975-984",
    month = "February",
    year = "2006",
    doi = "https://doi.org/10.1016/j.actamat.2005.10.035",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20191018-114729501",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83506,
    title ="A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids",
    author = "Yang, Q. and Stainier, L. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "54",
    number = "2",
    pages = "401-424",
    month = "February",
    year = "2006",
    doi = "https://doi.org/10.1016/j.jmps.2005.08.010",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-103435161",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83504,
    title ="A Finite-Deformation Constitutive Model of Bulk Metallic Glass Plasticity",
    author = "Yang, Q. and Mota, A. and Ortiz, M.",
    journal = "Computational Mechanics",
    volume = "37",
    number = "2",
    pages = "194-204",
    month = "January",
    year = "2006",
    doi = "https://doi.org/10.1007/s00466-005-0690-5",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-103311936",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83514,
    title ="A variational constitutive model for porous metal plasticity",
    author = "Weinberg, K. and Mota, A. and Ortiz, M.",
    journal = "Computational Mechanics",
    volume = "37",
    number = "2",
    pages = "142-152",
    month = "January",
    year = "2006",
    doi = "https://doi.org/10.1007/s00466-005-0685-2",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-111130155",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/5367,
    title ="Three-dimensional fracture and fragmentation of artificial kidney stones",
    author = "Mota, Alejandro and Knap, Jaroslaw and Ortiz, Michael",
    journal = "Journal of Physics: Conference Series",
    volume = "46",
    
    pages = "299-303",
    month = "January",
    year = "2006",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:MOTjpcs06",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83513,
    title ="A hysteretic cohesive-law model of fatigue-crack nucleation",
    author = "Serebrinsky, S. and Ortiz, M.",
    journal = "Scripta Materialia",
    volume = "53",
    number = "10",
    pages = "1193-1196",
    month = "November",
    year = "2005",
    doi = "https://doi.org/10.1016/j.scriptamat.2005.07.015",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-110948068",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83509,
    title ="Discrete Crystal Elasticity and Discrete Dislocations in Crystals",
    author = "Ariza, M. P. and Ortiz, M.",
    journal = "Archive for Rational Mechanics and Analysis",
    volume = "178",
    number = "2",
    pages = "149-226",
    month = "November",
    year = "2005",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-110029910",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83510,
    title ="A cohesive approach to thin-shell fracture and fragmentation",
    author = "Cirak, Fehmi and Ortiz, Michael and Pandolfi, Anna",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "194",
    number = "21-24",
    pages = "2604-2618",
    month = "June",
    year = "2005",
    doi = "https://doi.org/10.1016/j.cma.2004.07.048",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-110244891",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83512,
    title ="Nanovoid deformation in aluminum under simple shear",
    author = "Marian, Jaime and Knap, Jaroslaw and Ortiz, Michael",
    journal = "Acta Materialia",
    volume = "53",
    number = "10",
    pages = "2893-2900",
    month = "June",
    year = "2005",
    doi = "https://doi.org/10.1016/j.actamat.2005.02.046",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-110626684",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83511,
    title ="Dislocation Microstructures and the Effective Behavior of Single Crystals",
    author = "Conti, Sergio and Ortiz, Michael",
    journal = "Archive for Rational Mechanics and Analysis",
    volume = "176",
    number = "1",
    pages = "103-147",
    month = "March",
    year = "2005",
    doi = "https://doi.org/10.1007/s00205-004-0353-2",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-110428097",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83515,
    title ="Shock wave induced damage in kidney tissue",
    author = "Weinberg, K. and Ortiz, M.",
    journal = "Computational Materials Science",
    volume = "32",
    number = "3-4",
    pages = "588-593",
    month = "March",
    year = "2005",
    doi = "https://doi.org/10.1016/j.commatsci.2004.09.005",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-111255148",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83516,
    title ="A class of variational strain-localization finite elements",
    author = "Yang, Q. and Mota, A. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "62",
    number = "8",
    pages = "1013-1037",
    month = "February",
    year = "2005",
    doi = "https://doi.org/10.1002/nme.1199",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-113115594",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/76063,
    title ="Three-dimensional director-field predictions of viral DNA packing arrangements",
    author = "Klug, W. S. and Feldmann, M. T. and Ortiz, M.",
    journal = "Computational Mechanics",
    volume = "35",
    number = "2",
    pages = "146-152",
    month = "January",
    year = "2005",
    doi = "https://doi.org/10.1007/s00466-004-0613-x",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170408-154613814",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/4514,
    title ="Prediction of Dislocation Nucleation During Nanoindentation by the Orbital-Free Density Functional Theory Local Quasi-continuum Method",
    author = "Hayes, Robin L. and Fago, Matt and Ortiz, Michael and Carter, Emily A.",
    journal = "Multiscale Modeling and Simulation",
    volume = "4",
    number = "2",
    pages = "359-389",
    month = "January",
    year = "2005",
    doi = "https://doi.org/10.1137/080727531",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:HAYmms05",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83525,
    title ="Microstructure evolution in the equal channel angular extrusion process",
    author = "Sivakumar, Srinivasan M. and Ortiz, Michael",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "193",
    number = "48-51",
    pages = "5177-5194",
    month = "December",
    year = "2004",
    doi = "https://doi.org/10.1016/j.cma.2004.01.036",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-114315582",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97263,
    title ="A Model for Kidney Tissue Damage under High Speed Loading",
    author = "Weinberg, Kerstin and Colonius, Tim and Ortiz, Michael",
    journal = "Proceedings in Applied Mathematics and Mechanics",
    volume = "4",
    number = "1",
    pages = "234-235",
    month = "December",
    year = "2004",
    doi = "https://doi.org/10.1002/pamm.200410098",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190718-165126641",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/1649,
    title ="A multi-phase field model of planar dislocation networks",
    author = "Koslowski, M. and Ortiz, M.",
    journal = "Modelling and Simulation in Materials Science and Engineering",
    volume = "12",
    number = "6",
    pages = "1087-1097",
    month = "November",
    year = "2004",
    doi = "https://doi.org/10.1088/0965-0393/12/6/003",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:KOSmsmse04",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83520,
    title ="Nanovoid Cavitation by Dislocation Emission in Aluminum",
    author = "Marian, Jaime and Knap, Jaroslaw and Ortiz, Michael",
    journal = "Physical Review Letters",
    volume = "93",
    number = "16",
    pages = "Art. no. 165503",
    month = "October",
    year = "2004",
    doi = "https://doi.org/10.1103/PhysRevLett.93.165503",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-113716219",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83524,
    title ="A quantum-mechanically informed continuum model of hydrogen embrittlement",
    author = "Serebrinsky, S. and Carter, E. A. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "52",
    number = "10",
    pages = "2403-2430",
    month = "October",
    year = "2004",
    doi = "https://doi.org/10.1016/j.jmps.2004.02.010",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-114149734",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83517,
    title ="Importance of Shear in the bcc-to-hcp Transformation in Iron",
    author = "Caspersen, Kyle J. and Lew, Adrian and Ortiz, Michael and Carter, Emily A.",
    journal = "Physical Review Letters",
    volume = "93",
    number = "11",
    pages = "Art. No. 115501",
    month = "September",
    year = "2004",
    doi = "https://doi.org/10.1103/PhysRevLett.93.115501",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-113250402",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83526,
    title ="A variational r-adaption and shape-optimization method for finite-deformation elasticity",
    author = "Thoutireddy, P. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "61",
    number = "1",
    pages = "1-21",
    month = "September",
    year = "2004",
    doi = "https://doi.org/10.1002/nme.1052",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-114428592",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83518,
    title ="Density-functional-theory-based local quasicontinuum method: Prediction of dislocation nucleation",
    author = "Fago, Matt and Hayes, Robin L. and Carter, Emily A. and Ortiz, Michael",
    journal = "Physical Review B",
    volume = "70",
    number = "10",
    pages = "Art. No. 100102(R)",
    month = "September",
    year = "2004",
    doi = "https://doi.org/10.1103/PhysRevB.70.100102",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-113430030",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83523,
    title ="A variational Cam-clay theory of plasticity",
    author = "Ortiz, M. and Pandolfi, A.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "193",
    number = "27-29",
    pages = "2645-2666",
    month = "July",
    year = "2004",
    doi = "https://doi.org/10.1016/j.cma.2003.08.008",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-114018119",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/19606,
    title ="Variational time integrators",
    author = "Lew, A. and Marsden, J. E. and Ortiz, M. and West, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "60",
    number = "1",
    pages = "153-212",
    month = "May",
    year = "2004",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100824-071747459",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83519,
    title ="Universal binding-energy relation for crystals that accounts for surface relaxation",
    author = "Hayes, Robin L. and Ortiz, Michael and Carter, Emily A.",
    journal = "Physical Review B",
    volume = "69",
    number = "17",
    pages = "Art. No. 172104",
    month = "May",
    year = "2004",
    doi = "https://doi.org/10.1103/PhysRevB.69.172104",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-113554693",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83522,
    title ="On the Γ-convergence of discrete dynamics and variational integrators",
    author = "Müller, S. and Ortiz, M.",
    journal = "Journal of Nonlinear Science",
    volume = "14",
    number = "3",
    pages = "279-296",
    month = "May",
    year = "2004",
    doi = "https://doi.org/10.1007/BF02666023",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-113838315",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/3612,
    title ="Scaling properties of a low-actuation pressure microfluidic valve",
    author = "Studer, Vincent and Hang, Giao and Pandolfi, Anna and Ortiz, Michael and Anderson, W. French and Quake, Stephen R.",
    journal = "Journal of Applied Physics",
    volume = "95",
    number = "1",
    pages = "393-398",
    month = "January",
    year = "2004",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:STUjap04",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/24990,
    title ="Optimal BV estimates for a discontinuous Galerkin method for linear elasticity",
    author = "Lew, Adrian and Neff, Patrizio and Sulsky, Deborah and Ortiz, Michael",
    journal = "Applied Mathematics Research eXpress",
    volume = "2004",
    number = "3",
    pages = "73-106",
    month = "January",
    year = "2004",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110823-091200001",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83528,
    title ="The mechanics of deformation-induced subgrain-dislocation structures in metallic crystals at large strains",
    author = "Aubry, S. and Ortiz, M.",
    journal = "Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences",
    volume = "459",
    number = "2040",
    pages = "3131-3158",
    month = "December",
    year = "2003",
    doi = "https://doi.org/10.1098/rspa.2003.1179",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-114743083",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83529,
    title ="A director-field model of DNA packaging in viral capsids",
    author = "Klug, W. S. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "51",
    number = "10",
    pages = "1815-1847",
    month = "October",
    year = "2003",
    doi = "https://doi.org/10.1016/S0022-5096(03)00071-1",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-115155193",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83527,
    title ="A constrained sequential-lamination algorithm for the simulation of sub-grid microstructure in martensitic materials",
    author = "Aubry, Sylvie and Fago, Matt and Ortiz, Michael",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "192",
    number = "26-27",
    pages = "2823-2843",
    month = "July",
    year = "2003",
    doi = "https://doi.org/10.1016/S0045-7825(03)00260-3",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-114612180",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/51932,
    title ="Oscillatory Thermomechanical Instability of an Ultrathin Catalyst",
    author = "Cirak, Fehmi and Cisternas, Jaime E. and Cuitiño, Alberto M. and Ertl, Gerhard and Holmes, Philip and Kevrekidis, Ioannis G. and Ortiz, Michael and Rotermund, Harm Hinrich and Schunack, Michael and Wolff, Janpeter",
    journal = "Science",
    volume = "300",
    number = "5627",
    pages = "1932-1936",
    month = "June",
    year = "2003",
    doi = "https://doi.org/10.1126/science.1083909",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20141119-075159032",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83530,
    title ="Effect of Indenter-Radius Size on Au(001) Nanoindentation",
    author = "Knap, J. and Ortiz, M.",
    journal = "Physical Review Letters",
    volume = "90",
    number = "22",
    pages = "Art. No. 226102",
    month = "June",
    year = "2003",
    doi = "https://doi.org/10.1103/PhysRevLett.90.226102",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-115314976",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83531,
    title ="Finite-element simulation of firearm injury to the human cranium",
    author = "Mota, A. and Klug, W. S. and Ortiz, M. and Pandolfi, A.",
    journal = "Computational Mechanics",
    volume = "31",
    number = "1-2",
    pages = "115-121",
    month = "May",
    year = "2003",
    doi = "https://doi.org/10.1007/s00466-002-0398-8",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-115541004",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/19592,
    title ="Asynchronous Variational Integrators",
    author = "Lew, A. and Marsden, J. E. and Ortiz, M. and West, M.",
    journal = "Archive for Rational Mechanics and Analysis",
    volume = "167",
    number = "2",
    pages = "85-146",
    month = "April",
    year = "2003",
    doi = "https://doi.org/10.1007/s00205-002-0212-y",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100823-112128812",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83532,
    title ="Multiscale modelling of hardening in BCC crystal plasticity",
    author = "Stainier, L. and Cuitiño, A. M. and Ortiz, M.",
    journal = "Journal de Physique IV (Proceedings)",
    volume = "105",
    
    pages = "157-164",
    month = "March",
    year = "2003",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-115759473",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83582,
    title ="3D Modelling of Impact Failure in Sandwich Structures",
    author = "Yu, C. and Ortiz, M. and Rosakis, A. J.",
    journal = "European Structural Integrity Society",
    volume = "32",
    
    pages = "527-537",
    month = "January",
    year = "2003",
    doi = "https://doi.org/10.1016/S1566-1369(03)80122-X",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171129-164945762",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/800,
    title ="Nonsmooth Lagrangian mechanics and variational collision integrators \r ",
    author = "Fetecau, R. C. and Marsden, J. E. and Ortiz, M. and West, M.",
    journal = "SIAM Journal on Applied Dynamical Systems",
    volume = "2",
    number = "3",
    pages = "381-416",
    month = "January",
    year = "2003",
    doi = "https://doi.org/10.1137/S1111111102406038",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:FETsiamjads03",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83777,
    title ="A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals",
    author = "Koslowski, M. and Cuitiño, A. M. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "50",
    number = "12",
    pages = "2597-2635",
    month = "December",
    year = "2002",
    doi = "https://doi.org/10.1016/S0022-5096(02)00037-6",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171208-164131036",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83768,
    title ="Three-dimensional modeling of intersonic shear-crack growth in asymmetrically loaded unidirectional composite plates",
    author = "Yu, C. and Pandolfi, A. and Ortiz, M. and Coker, D. and Rosakis, A. J.",
    journal = "International Journal of Solids and Structures",
    volume = "39",
    number = "25",
    pages = "6135-6157",
    month = "December",
    year = "2002",
    doi = "https://doi.org/10.1016/S0020-7683(02)00466-3",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171208-154753672",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83773,
    title ="An Efficient Adaptive Procedure for Three-Dimensional Fragmentation Simulations",
    author = "Pandolfi, A. and Ortiz, M.",
    journal = "Engineering with Computers",
    volume = "18",
    number = "2",
    pages = "148-159",
    month = "August",
    year = "2002",
    doi = "https://doi.org/10.1007/s003660200013",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171208-163116282",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83774,
    title ="Coarse-graining and renormalization of atomistic binding relations and universal macroscopic cohesive behavior",
    author = "Nguyen, O. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "50",
    number = "8",
    pages = "1727-1741",
    month = "August",
    year = "2002",
    doi = "https://doi.org/10.1016/S0022-5096(01)00133-8",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171208-163351204",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83769,
    title ="A micromechanical model of hardening, rate sensitivity and thermal softening in BCC single crystals",
    author = "Stainier, L. and Cuitiño, A. M. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "50",
    number = "7",
    pages = "1511-1545",
    month = "July",
    year = "2002",
    doi = "https://doi.org/10.1016/S0022-5096(01)00114-4",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171208-155120960",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83545,
    title ="Folding energetics in thin-film diaphragms",
    author = "Gioia, G. and DeSimone, A. and Ortiz, M. and Cuitiño, A. M.",
    journal = "Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences",
    volume = "458",
    number = "2021",
    pages = "1223-1229",
    month = "May",
    year = "2002",
    doi = "https://doi.org/10.1098/rspa.2001.0921",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-144028971",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83775,
    title ="A study of solid-particle erosion of metallic targets",
    author = "Molinari, J. F. and Ortiz, M.",
    journal = "International Journal of Impact Engineering",
    volume = "27",
    number = "4",
    pages = "347-358",
    month = "April",
    year = "2002",
    doi = "https://doi.org/10.1016/S0734-743X(01)00055-0",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171208-163608575",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/19901,
    title ="Time-discretized variational formulation of non-smooth\r frictional contact",
    author = "Pandolfi, A. and Kane, C. and Marsden, J. E. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "53",
    number = "8",
    pages = "1801-1829",
    month = "March",
    year = "2002",
    doi = "https://doi.org/10.1002/nme.361",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100913-101405977",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83541,
    title ="Three-dimensional adaptive meshing by subdivision and edge-collapse in finite-deformation dynamic-plasticity problems with application to adiabatic shear banding",
    author = "Molinari, J. F. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "53",
    number = "5",
    pages = "1101-1126",
    month = "February",
    year = "2002",
    doi = "https://doi.org/10.1002/nme.325",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-141604699",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83778,
    title ="Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision",
    author = "Cirak, Fehmi and Scott, Michael J. and Antonsson, Erik K. and Ortiz, Michael and Schröder, Peter",
    journal = "Computer-Aided Design",
    volume = "34",
    number = "2",
    pages = "137-148",
    month = "February",
    year = "2002",
    doi = "https://doi.org/10.1016/S0010-4485(01)00061-6",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171208-164357957",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83547,
    title ="The computation of the exponential and logarithmic mappings and their first and second linearizations",
    author = "Ortiz, M. and Radovitzky, R. A. and Repetto, E. A.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "52",
    number = "12",
    pages = "1431-1441",
    month = "December",
    year = "2001",
    doi = "https://doi.org/10.1002/nme.263",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-144521153",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83548,
    title ="Three‐dimensional cohesive modeling of dynamic mixed‐mode fracture",
    author = "Ruiz, Gonzalo and Pandolfi, Anna and Ortiz, Michael",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "52",
    number = "1-2",
    pages = "97-120",
    month = "September",
    year = "2001",
    doi = "https://doi.org/10.1002/nme.273",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-144716463",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/55343,
    title ="A computational study of the influence of thermal softening on ballistic penetration in metals",
    author = "Yadav, S. and Repetto, E. A. and Ravichandran, G. and Ortiz, M.",
    journal = "International Journal of Impact Engineering",
    volume = "25",
    number = "8",
    pages = "787-803",
    month = "September",
    year = "2001",
    doi = "https://doi.org/10.1016/S0734-743X(01)00008-2",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150227-143957613",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83844,
    title ="An analysis of the quasicontinuum method",
    author = "Knapp, J. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "49",
    number = "9",
    pages = "1899-1923",
    month = "September",
    year = "2001",
    doi = "https://doi.org/10.1016/S0022-5096(01)00034-5",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171212-152307212",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83834,
    title ="A Cohesive model of fatigue crack growth",
    author = "Nguyen, O. and Repetto, E. A. and Ortiz, M. and Radovitzky, R. A.",
    journal = "International Journal of Fracture",
    volume = "110",
    number = "4",
    pages = "351-369",
    month = "August",
    year = "2001",
    doi = "https://doi.org/10.1023/A:1010839522926",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171212-143333386",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83846,
    title ="Fully C^1‐conforming subdivision elements for finite deformation thin‐shell analysis",
    author = "Cirak, Fehmi and Ortiz, Michael",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "51",
    number = "7",
    pages = "813-833",
    month = "July",
    year = "2001",
    doi = "https://doi.org/10.1002/nme.182",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171212-153633409",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83845,
    title ="A multiscale approach for modeling crystalline solids",
    author = "Cuitiño, Alberto M. and Stainier, Laurent and Wang, Guofeng and Strachan, Alejandro and Çağin, Tahir and Goddard, William A., III and Ortiz, Michael",
    journal = "Journal of Computer-Aided Materials Design",
    volume = "8",
    number = "2/3",
    pages = "127-149",
    month = "May",
    year = "2001",
    doi = "https://doi.org/10.1023/A:1020012431230",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171212-152625957",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83835,
    title ="An artificial viscosity method for the Lagrangian analysis of shocks in solids with strength on unstructured, arbitrary order tetrahedral meshes",
    author = "Lewis, A. C. and Radovitzky, R. and Ortiz, M.",
    journal = "Journal of Computer-Aided Materials Design",
    volume = "8",
    number = "2/3",
    pages = "213-231",
    month = "May",
    year = "2001",
    doi = "https://doi.org/10.1023/A:1020064403005",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171212-143743641",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83843,
    title ="Extraction of boundary representation from surface triangulations",
    author = "Krysl, Petr and Ortiz, Michael",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "50",
    number = "7",
    pages = "1737-1758",
    month = "March",
    year = "2001",
    doi = "https://doi.org/10.1002/nme.94",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171212-151905365",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/76186,
    title ="Variational Delaunay approach to the generation of tetrahedral finite element meshes",
    author = "Krysl, Petr and Ortiz, Michael",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "50",
    number = "7",
    pages = "1681-1700",
    month = "March",
    year = "2001",
    doi = "https://doi.org/10.1002/nme.91",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170408-162713466",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83832,
    title ="Mixed Atomistic–Continuum Models of Material Behavior: The Art of Transcending Atomistics and Informing Continua",
    author = "Ortiz, M. and Cuitiño, A. M. and Knapp, J. and Koslowski, M.",
    journal = "MRS Bulletin",
    volume = "26",
    number = "03",
    pages = "216-221",
    month = "March",
    year = "2001",
    doi = "https://doi.org/10.1557/mrs2001.45",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171212-142856626",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83544,
    title ="Tetrahedral composite finite elements",
    author = "Thoutireddy, P. and Molinari, J. F. and Repetto, E. A. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "53",
    number = "6",
    pages = "1337-1351",
    month = "February",
    year = "2001",
    doi = "https://doi.org/10.1002/nme.337",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171128-142213688",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83855,
    title ="Finite‐element modeling of dry sliding wear in metals",
    author = "Molinari, J. F. and Ortiz, M. and Radovitzky, R. and Repetto, E. A.",
    journal = "Engineering Computations",
    volume = "18",
    number = "3/4",
    pages = "592-610",
    month = "January",
    year = "2001",
    doi = "https://doi.org/10.1108/00368790110407257",doi = "https://doi.org/doi/pdfplus/10.1108/00368790110407257",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-085800984",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/19521,
    title ="Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems",
    author = "Kane, C. and Marsden, J. E. and Ortiz, M. and West, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "49",
    number = "10",
    pages = "1295-1325",
    month = "December",
    year = "2000",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100819-120143013",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83854,
    title ="A theory of subgrain dislocation structures",
    author = "Ortiz, M. and Repetto, E. A. and Stainier, L.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "48",
    number = "10",
    pages = "2077-2114",
    month = "October",
    year = "2000",
    doi = "https://doi.org/10.1016/S0022-5096(99)00104-0",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-085512032",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83848,
    title ="Three-dimensional finite-element simulation of the dynamic Brazilian tests on concrete cylinders",
    author = "Ruiz, Gonzalo and Ortiz, Michael and Pandolfi, Anna",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "48",
    number = "7",
    pages = "963-994",
    month = "July",
    year = "2000",
    doi = "https://doi.org/10.1002/(SICI)1097-0207(20000710)48:7<963::AID-NME908>3.0.CO;2-X",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171212-154848578",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83852,
    title ="Tetrahedral mesh generation based on node insertion in crystal lattice arrangements and advancing-front-Delaunay triangulation",
    author = "Radovitzky, R. and Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "187",
    number = "3-4",
    pages = "543-569",
    month = "July",
    year = "2000",
    doi = "https://doi.org/10.1016/S0045-7825(99)00339-4",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-084912550",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83853,
    title ="Three dimensional cohesive-element analysis and experiments of dynamic fracture in C300 steel",
    author = "Pandolfi, A. and Guduru, P. R. and Ortiz, M. and Rosakis, A. J.",
    journal = "International Journal of Solids and Structures",
    volume = "37",
    number = "27",
    pages = "3733-3760",
    month = "July",
    year = "2000",
    doi = "https://doi.org/10.1016/S0020-7683(99)00155-9",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-085245977",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83857,
    title ="Subdivision surfaces: a new paradigm for thin-shell finite-element analysis",
    author = "Cirak, Fehmi and Ortiz, Michael and Schröder, Peter",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "47",
    number = "12",
    pages = "2039-2072",
    month = "April",
    year = "2000",
    doi = "https://doi.org/10.1002/(SICI)1097-0207(20000430)47:12<2039::AID-NME872>3.0.CO;2-1",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-090454075",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/87938,
    title ="A virtual test facility for simulating the dynamic response of materials",
    author = "Aivazis, Michael and Goddard, William A. and Meiron, Dan and Ortiz, Michael and Pool, James and Shepherd, Joseph",
    journal = "Computing in Science & Engineering",
    volume = "2",
    number = "2",
    pages = "42-53",
    month = "March",
    year = "2000",
    doi = "https://doi.org/10.1109/5992.825748",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180717-150515004",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83849,
    title ="Finite element simulation of dynamic fracture and fragmentation of glass rods",
    author = "Repetto, E. A. and Radovitzky, R. and Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "183",
    number = "1-2",
    pages = "3-14",
    month = "March",
    year = "2000",
    doi = "https://doi.org/10.1016/S0045-7825(99)00208-X",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171212-155115498",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83856,
    title ="Triangular composite finite elements",
    author = "Guo, Yong and Ortiz, Michael and Belytschko, Ted and Repetto, Eduardo A.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "47",
    number = "1-3",
    pages = "287-316",
    month = "January",
    year = "2000",
    doi = "https://doi.org/10.1002/(SICI)1097-0207(20000110/30)47:1/3<287::AID-NME772>3.0.CO;2-M",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-090121889",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83847,
    title ="Hierarchical modeling in the mechanics of materials",
    author = "Tadmor, E. B. and Phillips, R. and Ortiz, M.",
    journal = "International Journal of Solids and Structures",
    volume = "37",
    number = "1-2",
    pages = "379-389",
    month = "January",
    year = "2000",
    doi = "https://doi.org/10.1016/S0020-7683(99)00095-5",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171212-153930662",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/19529,
    title ="Finite element analysis of nonsmooth contact",
    author = "Kane, C. and Repetto, E. A. and Ortiz, M. and Marsden, J. E.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "180",
    number = "1-2",
    pages = "1-26",
    month = "November",
    year = "1999",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100819-144015326",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/1663,
    title ="Hierarchical models of plasticity: dislocation nucleation and interaction",
    author = "Phillips, Rob and Rodney, David and Shenoy, Vivek and Tadmor, Ellad and Ortiz, Michael",
    journal = "Modelling and Simulation in Materials Science and Engineering",
    volume = "7",
    number = "5",
    pages = "769-780",
    month = "September",
    year = "1999",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:PHImsmse99",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/3727,
    title ="Symplectic-energy-momentum preserving variational integrators",
    author = "Kane, C. and Marsden, J. E. and Ortiz, M.",
    journal = "Journal of Mathematical Physics",
    volume = "40",
    number = "7",
    pages = "3353-3371",
    month = "July",
    year = "1999",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:KANjmp99",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/7524,
    title ="The atomistic structure and energy of nascent dislocation loops",
    author = "Shenoy, V. B. and Ortiz, M. and Phillips, R.",
    journal = "Modelling and Simulation in Materials Science and Engineering",
    volume = "7",
    number = "4",
    pages = "603-619",
    month = "July",
    year = "1999",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:SHEmsmse99",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/5010,
    title ="Nanoindentation and incipient plasticity",
    author = "Tadmor, E.B. and Miller, R. and Phillips, R. and Ortiz, M.",
    journal = "Journal of Materials Research",
    volume = "14",
    number = "6",
    pages = "2233-2250",
    month = "June",
    year = "1999",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:TADjmr99",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83867,
    title ="Plastic Yielding as a Phase Transition",
    author = "Ortiz, M.",
    journal = "Journal of Applied Mechanics",
    volume = "66",
    number = "2",
    pages = "289",
    month = "June",
    year = "1999",
    doi = "https://doi.org/10.1115/1.2791048",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-094627254",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83868,
    title ="Elastoplastic finite element analysis of three-dimensional fatigue crack growth in aluminum shafts subjected to axial loading",
    author = "de-Andrés, A. and Pérez, J. L. and Ortiz, M.",
    journal = "International Journal of Solids and Structures",
    volume = "36",
    number = "15",
    pages = "2231-2258",
    month = "May",
    year = "1999",
    doi = "https://doi.org/10.1016/S0020-7683(98)00059-6",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-094949787",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83859,
    title ="Error estimation and adaptive meshing in strongly nonlinear dynamic problems",
    author = "Radovitzky, R. and Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "172",
    number = "1-4",
    pages = "203-240",
    month = "April",
    year = "1999",
    doi = "https://doi.org/10.1016/S0045-7825(98)00230-8",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-090926881",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83861,
    title ="The variational formulation of viscoplastic constitutive updates",
    author = "Ortiz, M. and Stainier, L.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "171",
    number = "3-4",
    pages = "419-444",
    month = "April",
    year = "1999",
    doi = "https://doi.org/10.1016/S0045-7825(98)00219-9",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-091546263",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/1723,
    title ="A multiscattering series for impedance tomography in layered media",
    author = "Borcea, Liliana and Ortiz, Michael",
    journal = "Inverse Problems",
    volume = "15",
    number = "2",
    pages = "515-540",
    month = "April",
    year = "1999",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:BORip99",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83866,
    title ="Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis",
    author = "Ortiz, M. and Pandolfi, A.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "44",
    number = "9",
    pages = "1267-1282",
    month = "March",
    year = "1999",
    doi = "https://doi.org/10.1002/(SICI)1097-0207(19990330)44:9<1267::AID-NME486>3.0.CO;2-7",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-094245696",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83862,
    title ="A continuum model of kinetic roughening and coarsening in thin films",
    author = "Ortiz, M. and Repetto, E. A. and Si, H.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "47",
    number = "4",
    pages = "697-730",
    month = "February",
    year = "1999",
    doi = "https://doi.org/10.1016/S0022-5096(98)00102-1",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-091830314",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83863,
    title ="Nonconvex energy minimization and dislocation structures in ductile single crystals",
    author = "Ortiz, M. and Repetto, E. A.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "47",
    number = "2",
    pages = "397-462",
    month = "February",
    year = "1999",
    doi = "https://doi.org/10.1016/S0022-5096(97)00096-3",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-092048666",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83858,
    title ="A Finite Element Study of Electromagnetic Riveting",
    author = "Repetto, E. A. and Radovitzky, R. and Ortiz, M. and Lundquist, R. C. and Sandstrom, D. R.",
    journal = "Journal of Manufacturing Science and Engineering",
    volume = "121",
    number = "1",
    pages = "61",
    month = "February",
    year = "1999",
    doi = "https://doi.org/10.1115/1.2830576",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-090727121",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83860,
    title ="Finite element simulation of ring expansion and fragmentation: The capturing of length and time scales through cohesive models of fracture",
    author = "Pandolfi, A. and Krysl, P. and Ortiz, M.",
    journal = "International Journal of Fracture",
    volume = "95",
    number = "1/4",
    pages = "279-297",
    month = "January",
    year = "1999",
    doi = "https://doi.org/10.1023/A:1018672922734",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-091247239",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83875,
    title ="Determination of thin-film debonding parameters from telephone-cord measurements",
    author = "Gioia, G. and Ortiz, M.",
    journal = "Acta Materialia",
    volume = "46",
    number = "1",
    pages = "169-175",
    month = "December",
    year = "1998",
    doi = "https://doi.org/10.1016/S1359-6454(97)00211-5",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-100854187",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83872,
    title ="Solid modeling aspects of three-dimensional fragmentation",
    author = "Pandolfi, A. and Ortiz, M.",
    journal = "Engineering with Computers",
    volume = "14",
    number = "4",
    pages = "287-308",
    month = "December",
    year = "1998",
    doi = "https://doi.org/10.1007/BF01201761",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-100012816",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83871,
    title ="Lagrangian finite element analysis of Newtonian fluid flows",
    author = "Radovitzky, R. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "43",
    number = "4",
    pages = "607-619",
    month = "October",
    year = "1998",
    doi = "https://doi.org/10.1002/(SICI)1097-0207(19981030)43:4<607::AID-NME399>3.0.CO;2-N",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-095800584",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83873,
    title ="A non-local formulation of the Peierls dislocation model",
    author = "Miller, Ron and Phillips, Rob and Beltz, Glen and Ortiz, Michael",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "46",
    number = "10",
    pages = "1845-1867",
    month = "October",
    year = "1998",
    doi = "https://doi.org/10.1016/S0022-5096(98)00057-X",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-100338338",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83870,
    title ="The influence of crack trapping on the toughness of fiber reinforced composites",
    author = "Xu, G. and Bower, A. F. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "46",
    number = "10",
    pages = "1815-1833",
    month = "October",
    year = "1998",
    doi = "https://doi.org/10.1016/S0022-5096(98)00059-3",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-095546620",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/41699,
    title ="Energy-based model of compressive splitting in heterogeneous brittle solids",
    author = "Bhattacharya, K. and Ortiz, M. and Ravichandran, G.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "46",
    number = "10",
    pages = "2171-2181",
    month = "October",
    year = "1998",
    doi = "https://doi.org/10.1016/S0022-5096(98)00026-X ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20131007-083528747",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83874,
    title ="Quasicontinuum models of fracture and plasticity",
    author = "Miller, R. and Ortiz, M. and Phillips, R. and Shenoy, V. and Tadmor, E. B.",
    journal = "Engineering Fracture Mechanics",
    volume = "61",
    number = "3-4",
    pages = "427-444",
    month = "September",
    year = "1998",
    doi = "https://doi.org/10.1016/S0013-7944(98)00047-2",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-100643529",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/1664,
    title ="Quasicontinuum simulation of fracture at the atomic scale",
    author = "Miller, R. and Tadmor, E. B. and Phillips, R. and Ortiz, M.",
    journal = "Modelling and Simulation in Materials Science and Engineering",
    volume = "6",
    number = "5",
    pages = "607-638",
    month = "September",
    year = "1998",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:MILmsmse98",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83876,
    title ="Fracture analysis of cellular materials: A strain gradient model",
    author = "Chen, J. Y. and Huang, Y. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "46",
    number = "5",
    pages = "789-828",
    month = "May",
    year = "1998",
    doi = "https://doi.org/10.1016/S0022-5096(98)00006-4",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-101038312",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/6522,
    title ="Quasicontinuum Models of Interfacial Structure and Deformation",
    author = "Shenoy, V. B. and Miller, R. and Tadmor, E. B. and Phillips, R. and Ortiz, M.",
    journal = "Physical Review Letters",
    volume = "08",
    number = "4",
    pages = "742-745",
    month = "January",
    year = "1998",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:SHEprl98",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83883,
    title ="Effect of interfacial compliance on bifurcation of a layer bonded to a substrate",
    author = "Bigoni, D. and Ortiz, M. and Needleman, A.",
    journal = "International Journal of Solids and Structures",
    volume = "34",
    number = "33-34",
    pages = "4305-4326",
    month = "November",
    year = "1997",
    doi = "https://doi.org/10.1016/S0020-7683(97)00025-5",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-102809023",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/55254,
    title ="Computational modeling of damage evolution in unidirectional fiber reinforced ceramic matrix composites",
    author = "Walter, M. E. and Ravichandran, G. and Ortiz, M.",
    journal = "Computational Mechanics",
    volume = "20",
    number = "1-2",
    pages = "192-198",
    month = "July",
    year = "1997",
    doi = "https://doi.org/10.1007/s004660050239 ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150226-105909974",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83879,
    title ="A micromechanical model of cyclic deformation and fatigue-crack nucleation in f.c.c. single crystals",
    author = "Repetto, E. A. and Ortiz, M.",
    journal = "Acta Materialia",
    volume = "45",
    number = "6",
    pages = "2577-2595",
    month = "June",
    year = "1997",
    doi = "https://doi.org/10.1016/S1359-6454(96)00368-0",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-101558135",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83882,
    title ="Adaptive Lagrangian modelling of ballistic penetration of metallic targets",
    author = "Camacho, G. T. and Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "142",
    number = "3-4",
    pages = "269-301",
    month = "March",
    year = "1997",
    doi = "https://doi.org/10.1016/S0045-7825(96)01134-6",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-102621794",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83877,
    title ="Critical configurations for dislocation nucleation from crack tips",
    author = "Xu, G. and Argon, A. S. and Ortiz, M.",
    journal = "Philosophical Magazine A",
    volume = "75",
    number = "2",
    pages = "341-367",
    month = "February",
    year = "1997",
    doi = "https://doi.org/10.1080/01418619708205146",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-101246565",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/67730,
    title ="Mixed Atomistic and Continuum Models of Deformation in Solids",
    author = "Tadmor, E. B. and Phillips, Rob and Ortiz, M.",
    journal = "Langmuir",
    volume = "12",
    number = "19",
    pages = "4529-4534",
    month = "September",
    year = "1996",
    doi = "https://doi.org/10.1021/la9508912",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160607-114810939",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83891,
    title ="Computational micromechanics",
    author = "Ortiz, M.",
    journal = "Computational Mechanics",
    volume = "18",
    number = "5",
    pages = "321-338",
    month = "September",
    year = "1996",
    doi = "https://doi.org/10.1007/BF00376129",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-151030227",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83899,
    title ="Computational modelling of impact damage in brittle materials",
    author = "Camacho, G. T. and Ortiz, M.",
    journal = "International Journal of Solids and Structures",
    volume = "33",
    number = "20-22",
    pages = "2899-2938",
    month = "August",
    year = "1996",
    doi = "https://doi.org/10.1016/0020-7683(95)00255-3",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-154113812",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83892,
    title ="Juan Carlos Simo, 1952–1994",
    author = "Ortiz, Miguel",
    journal = "International Journal of Solids and Structures",
    volume = "33",
    number = "20-22",
    pages = "2859-2861",
    month = "August",
    year = "1996",
    doi = "https://doi.org/10.1016/S0020-7683(96)90054-2",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-151512573",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83890,
    title ="Quasicontinuum analysis of defects in solids",
    author = "Tadmor, E. B. and Ortiz, M. and Phillips, R.",
    journal = "Philosophical Magazine A",
    volume = "73",
    number = "6",
    pages = "1529-1563",
    month = "June",
    year = "1996",
    doi = "https://doi.org/10.1080/01418619608243000",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-150724557",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83895,
    title ="Three-dimensional crack-tip fields in four-point-bending copper single-crystal specimens",
    author = "Cuitiño, A. M. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "44",
    number = "6",
    pages = "863-904",
    month = "June",
    year = "1996",
    doi = "https://doi.org/10.1016/0022-5096(96)00016-6",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-152404106",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83896,
    title ="Ductile fracture by vacancy condensation in f.c.c. single crystals",
    author = "Cuitiño, A. M. and Ortiz, M.",
    journal = "Acta Materialia",
    volume = "44",
    number = "2",
    pages = "427-436",
    month = "February",
    year = "1996",
    doi = "https://doi.org/10.1016/1359-6454(95)00220-0",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-152606701",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83893,
    title ="The Two-Dimensional Structure of Dynamic Boundary Layers and Shear Bands in Thermoviscoplastic Solids",
    author = "Gioia, G. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "44",
    number = "2",
    pages = "251-292",
    month = "February",
    year = "1996",
    doi = "https://doi.org/10.1016/0022-5096(95)00071-2",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-152056464",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83901,
    title ="Modelling and simulation of high-speed machining",
    author = "Marusich, T. D. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "38",
    number = "21",
    pages = "3675-3694",
    month = "November",
    year = "1995",
    doi = "https://doi.org/10.1002/nme.1620382108",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-155828724",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83900,
    title ="Nucleation of dislocations from crack tips under mixed modes of loading: Implications for brittle against ductile behaviour of crystals",
    author = "Xu, G. and Argon, A. S. and Ortiz, M.",
    journal = "Philosophical Magazine A",
    volume = "72",
    number = "2",
    pages = "415-451",
    month = "August",
    year = "1995",
    doi = "https://doi.org/10.1080/01418619508239933",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-155429973",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83902,
    title ="A variational boundary integral method for the analysis of 3-D cracks of arbitrary geometry modelled as continuous distributions of dislocation loops",
    author = "Xu, G. and Ortiz, M.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "36",
    number = "21",
    pages = "3675-3701",
    month = "November",
    year = "1993",
    doi = "https://doi.org/10.1002/nme.1620362107",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-160315284",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/1665,
    title ="A harmonic/anharmonic energy partition method for lattice statics computations",
    author = "Gallego, Rafael and Ortiz, Michael",
    journal = "Modelling and Simulation in Materials Science and Engineering",
    volume = "1",
    number = "4",
    pages = "417-436",
    month = "July",
    year = "1993",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:GALmsmse93",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83905,
    title ="The Influence of Grain Size on the Toughness of Monolithic Ceramics",
    author = "Bower, A. F. and Ortiz, M.",
    journal = "Journal of Engineering Materials and Technology",
    volume = "115",
    number = "3",
    pages = "228-236",
    month = "July",
    year = "1993",
    doi = "https://doi.org/10.1115/1.2904212",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-161606680",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/1660,
    title ="Computational modelling of single crystals",
    author = "Cuitiño, A. M. and Ortiz, M.",
    journal = "Modelling and Simulation in Materials Science and Engineering",
    volume = "1",
    number = "3",
    pages = "225-263",
    month = "April",
    year = "1993",
    doi = "https://doi.org/10.1088/0965-0393/1/3/001",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:CUImsmse93",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83904,
    title ="An Analysis of Crack Trapping by Residual Stresses in Brittle Solids",
    author = "Bower, A. F. and Ortiz, M.",
    journal = "Journal of Applied Mechanics",
    volume = "60",
    number = "1",
    pages = "175-182",
    month = "March",
    year = "1993",
    doi = "https://doi.org/10.1115/1.2900742",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-161223831",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83903,
    title ="Statistical Properties of Residual Stresses and Intergranular Fracture in Ceramic Materials",
    author = "Ortiz, M. and Suresh, S.",
    journal = "Journal of Applied Mechanics",
    volume = "60",
    number = "1",
    pages = "77-84",
    month = "March",
    year = "1993",
    doi = "https://doi.org/10.1115/1.2900782",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-160735981",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83912,
    title ="Performance of the star‐shaped flyer in the study of brittle materials: Three dimensional computer simulations and experimental observations",
    author = "Espinosa, H. D. and Raiser, G. and Clifton, R. J. and Ortiz, M.",
    journal = "Journal of Applied Physics",
    volume = "72",
    number = "8",
    pages = "3451-3457",
    month = "October",
    year = "1992",
    doi = "https://doi.org/10.1063/1.351419",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-164520270",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83911,
    title ="Mode mixity effects on crack tip deformation in ductile single crystals",
    author = "Mohan, R. and Ortiz, M. and Shih, C. F.",
    journal = "Acta Metallurgica et Materialia",
    volume = "40",
    number = "8",
    pages = "1907-1922",
    month = "August",
    year = "1992",
    doi = "https://doi.org/10.1016/0956-7151(92)90177-G",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-164302776",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83907,
    title ="Effect of Strain Hardening and Rate Sensitivity on the Dynamic Growth of a Void in a Plastic Material",
    author = "Ortiz, M. and Molinari, A.",
    journal = "Journal of Applied Mechanics",
    volume = "59",
    number = "1",
    pages = "48-53",
    month = "March",
    year = "1992",
    doi = "https://doi.org/10.1115/1.2899463",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-163302163",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83908,
    title ="Influence of Cracking Direction on Interfacial Fracture in Bicrystals With Symmetric Tilt Boundary",
    author = "Mohan, R. and Ortiz, M. and Shih, C. F.",
    journal = "Journal of Applied Mechanics",
    volume = "59",
    number = "1",
    pages = "84-91",
    month = "March",
    year = "1992",
    doi = "https://doi.org/10.1115/1.2899469",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-163502078",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84044,
    title ="A material‐independent method for extending stress update algorithms from small-strain plasticity to finite plasticity with multiplicative kinematics",
    author = "Cuitiño, A. M. and Ortiz, M.",
    journal = "Engineering Computations",
    volume = "9",
    number = "4",
    pages = "437-451",
    month = "January",
    year = "1992",
    doi = "https://doi.org/10.1108/eb023876",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180102-160938210",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83909,
    title ="An analysis of cracks in ductile single crystals—I. Anti-plane shear",
    author = "Mohan, R. and Ortiz, M. and Shih, C. F.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "40",
    number = "2",
    pages = "291-313",
    month = "January",
    year = "1992",
    doi = "https://doi.org/10.1016/S0022-5096(05)80014-6",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-163842621",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83910,
    title ="An analysis of cracks in ductile single crystals—II. Mode I loading",
    author = "Mohan, R. and Ortiz, M. and Shih, C. F.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "40",
    number = "2",
    pages = "315-337",
    month = "January",
    year = "1992",
    doi = "https://doi.org/10.1016/S0022-5096(05)80015-8",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-164121235",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83906,
    title ="Stability of solids with interfaces",
    author = "Suo, Z. and Ortiz, M. and Needleman, A.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "40",
    number = "3",
    pages = "613-640",
    month = "January",
    year = "1992",
    doi = "https://doi.org/10.1016/0022-5096(92)80006-C",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171213-162919805",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84047,
    title ="Discussion on ‘A consistency analysis of a class of concurrent transient implicit/explicit algorithms’, by C. Farhat and N. Sobh",
    author = "Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "92",
    number = "3",
    pages = "397-398",
    month = "November",
    year = "1991",
    doi = "https://doi.org/10.1016/0045-7825(91)90024-Z",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180102-162412775",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84046,
    title ="Adaptive mesh refinement in strain localization problems",
    author = "Ortiz, M. and Quigley, J. J., IV",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "90",
    number = "1-3",
    pages = "781-804",
    month = "September",
    year = "1991",
    doi = "https://doi.org/10.1016/0045-7825(91)90184-8",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180102-162039472",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84049,
    title ="A three-dimensional analysis of crack trapping and bridging by tough particles",
    author = "Bower, A. F. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "39",
    number = "6",
    pages = "815-858",
    month = "January",
    year = "1991",
    doi = "https://doi.org/10.1016/0022-5096(91)90026-K",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180102-162806476",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84048,
    title ="Effect of boundaries and interfaces on shear-band localization",
    author = "Needleman, A. and Ortiz, M.",
    journal = "International Journal of Solids and Structures",
    volume = "28",
    number = "7",
    pages = "859-877",
    month = "January",
    year = "1991",
    doi = "https://doi.org/10.1016/0020-7683(91)90005-Z",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180102-162606388",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84060,
    title ="A soft-recovery plate impact experiment for studying microcracking in ceramics",
    author = "Raiser, G. and Clifton, R. J. and Ortiz, M.",
    journal = "Mechanics of Materials",
    volume = "10",
    number = "1-2",
    pages = "43-58",
    month = "November",
    year = "1990",
    doi = "https://doi.org/10.1016/0167-6636(90)90016-9",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180103-134318947",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84224,
    title ="Crack propagation in monolithic ceramics under mixed mode loading",
    author = "Ortiz, M. and Giannakopoulos, A. E.",
    journal = "International Journal of Fracture",
    volume = "44",
    number = "4",
    pages = "233-258",
    month = "August",
    year = "1990",
    doi = "https://doi.org/10.1007/BF00036167",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180110-093214865",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84088,
    title ="Finite element analysis of transient strain localization phenomena in frictional solids",
    author = "Leroy, Y. and Ortiz, M.",
    journal = "International Journal for Numerical and Analytical Methods in Geomechanics",
    volume = "14",
    number = "2",
    pages = "93-124",
    month = "March",
    year = "1990",
    doi = "https://doi.org/10.1002/nag.1610140203",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-142923188",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84086,
    title ="Formulation of implicit finite element methods for multiplicative finite deformation plasticity",
    author = "Moran, B. and Ortiz, M. and Shih, C. F.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "29",
    number = "3",
    pages = "483-514",
    month = "March",
    year = "1990",
    doi = "https://doi.org/10.1002/nme.1620290304",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-142558434",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84085,
    title ="Effect of decohesion and sliding on bimaterial crack-tip fields",
    author = "Ortiz, Michael and Blume, Janet A.",
    journal = "International Journal of Fracture",
    volume = "42",
    number = "2",
    pages = "117-128",
    month = "February",
    year = "1990",
    doi = "https://doi.org/10.1007/BF00018381",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-142347004",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84059,
    title ="A finite element method for determining the angular variation of asymptotic crack tip fields",
    author = "Symington, M. and Ortiz, M. and Shih, C. F.",
    journal = "International Journal of Fracture",
    volume = "45",
    number = "1",
    pages = "51-64",
    month = "January",
    year = "1990",
    doi = "https://doi.org/10.1007/BF00012609",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180103-133602693",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84065,
    title ="Mixed mode crack-tip fields in monolithic ceramics",
    author = "Ortiz, M. and Giannakopoulos, A. E.",
    journal = "International Journal of Solids and Structures",
    volume = "26",
    number = "7",
    pages = "705-723",
    month = "January",
    year = "1990",
    doi = "https://doi.org/10.1016/0020-7683(90)90002-D",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180103-140631024",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84089,
    title ="Solution of three-dimensional crack problems by a finite perturbation method",
    author = "Bower, A. F. and Ortiz, M.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "38",
    number = "4",
    pages = "443-480",
    month = "January",
    year = "1990",
    doi = "https://doi.org/10.1016/0022-5096(90)90008-R",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-143112109",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84090,
    title ="Efficiency of group implicit concurrent algorithms for transient finite element analysis",
    author = "Ortiz, M. and Sotelino, E. D. and Nour-Omid, B.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "28",
    number = "12",
    pages = "2761-2776",
    month = "December",
    year = "1989",
    doi = "https://doi.org/10.1002/nme.1620281204",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-144109186",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84092,
    title ="A finite element method for analyzing localization in rate dependent solids at finite strains",
    author = "Nacar, A. and Needleman, A. and Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "73",
    number = "3",
    pages = "235-258",
    month = "August",
    year = "1989",
    doi = "https://doi.org/10.1016/0045-7825(89)90067-4",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-144547414",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84091,
    title ="Symmetry-preserving return mapping algorithms and incrementally extremal paths: A unification of concepts",
    author = "Ortiz, Michael and Martin, John B.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "28",
    number = "8",
    pages = "1839-1853",
    month = "August",
    year = "1989",
    doi = "https://doi.org/10.1002/nme.1620280810",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-144352841",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84093,
    title ="Finite element analysis of strain localization in frictional materials",
    author = "Leroy, Y. and Ortiz, M.",
    journal = "International Journal for Numerical and Analytical Methods in Geomechanics",
    volume = "13",
    number = "1",
    pages = "53-74",
    month = "January",
    year = "1989",
    doi = "https://doi.org/10.1002/nag.1610130106",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-144801759",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84225,
    title ="C^0 finite element discretization of Kirchhoff's equations of thin plate bending",
    author = "Ortiz, M. and Morris, G. R.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "26",
    number = "7",
    pages = "1551-1566",
    month = "July",
    year = "1988",
    doi = "https://doi.org/10.1002/nme.1620260707",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180110-093224078",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84094,
    title ="Accuracy of a class of concurrent algorithms for transient finite element analysis",
    author = "Ortiz, Michael and Nour-Omid, Bahram and Sotelino, Elisa D.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "26",
    number = "2",
    pages = "379-391",
    month = "February",
    year = "1988",
    doi = "https://doi.org/10.1002/nme.1620260207",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-145355217",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84098,
    title ="Microcrack coalescence and macroscopic crack growth initiation in brittle solids",
    author = "Ortiz, M.",
    journal = "International Journal of Solids and Structures",
    volume = "24",
    number = "3",
    pages = "231-250",
    month = "January",
    year = "1988",
    doi = "https://doi.org/10.1016/0020-7683(88)90031-5",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-150149978",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84097,
    title ="Microstructural thermal stresses in ceramic materials",
    author = "Ortiz, M. and Molinari, A.",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "36",
    number = "4",
    pages = "385-400",
    month = "January",
    year = "1988",
    doi = "https://doi.org/10.1016/0022-5096(88)90024-5",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-145941926",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84103,
    title ="An analytical study of the localized failure modes of concrete",
    author = "Ortiz, M.",
    journal = "Mechanics of Materials",
    volume = "6",
    number = "2",
    pages = "159-174",
    month = "June",
    year = "1987",
    doi = "https://doi.org/10.1016/0167-6636(87)90006-8",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-151213758",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84100,
    title ="A Continuum Theory of Crack Shielding in Ceramics",
    author = "Ortiz, M.",
    journal = "Journal of Applied Mechanics",
    volume = "54",
    number = "1",
    pages = "54-58",
    month = "March",
    year = "1987",
    doi = "https://doi.org/10.1115/1.3172994",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-150806608",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84099,
    title ="A finite element method for localized failure analysis",
    author = "Ortiz, Michael and Leroy, Yves and Needleman, Alan",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "61",
    number = "2",
    pages = "189-214",
    month = "March",
    year = "1987",
    doi = "https://doi.org/10.1016/0045-7825(87)90004-1",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-150608642",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84102,
    title ="A method of homogenization of elastic media",
    author = "Ortiz, M.",
    journal = "International Journal of Engineering Science",
    volume = "25",
    number = "7",
    pages = "923-934",
    month = "January",
    year = "1987",
    doi = "https://doi.org/10.1016/0020-7225(87)90125-X",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-151030750",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84104,
    title ="Global viscoelastic behavior of heterogeneous thermoelastic materials",
    author = "Molinari, A. and Ortiz, M.",
    journal = "International Journal of Solids and Structures",
    volume = "23",
    number = "9",
    pages = "1285-1300",
    month = "January",
    year = "1987",
    doi = "https://doi.org/10.1016/0020-7683(87)90106-5",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180104-151938716",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84142,
    title ="Unconditionally stable concurrent procedures for transient finite element analysis",
    author = "Ortiz, Michael and Nour-Omid, Bahram",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "58",
    number = "2",
    pages = "151-174",
    month = "October",
    year = "1986",
    doi = "https://doi.org/10.1016/0045-7825(86)90094-0",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180105-150834527",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84141,
    title ="An analysis of a new class of integration algorithms for elastoplastic constitutive relations",
    author = "Ortiz, M. and Simo, J. C.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "23",
    number = "3",
    pages = "353-366",
    month = "March",
    year = "1986",
    doi = "https://doi.org/10.1002/nme.1620230303",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180105-150600580",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84143,
    title ="A note on energy conservation and stability of nonlinear time-stepping algorithms",
    author = "Ortiz, Michael",
    journal = "Computers and Structures",
    volume = "24",
    number = "1",
    pages = "167-168",
    month = "January",
    year = "1986",
    doi = "https://doi.org/10.1016/0045-7949(86)90346-9",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180105-151113322",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84145,
    title ="Accuracy and stability of integration algorithms for elastoplastic constitutive relations",
    author = "Ortiz, M. and Popov, E. P.",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "21",
    number = "9",
    pages = "1561-1576",
    month = "September",
    year = "1985",
    doi = "https://doi.org/10.1002/nme.1620210902",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180105-151552444",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84144,
    title ="A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations",
    author = "Simo, J. C. and Ortiz, M.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "49",
    number = "2",
    pages = "221-245",
    month = "June",
    year = "1985",
    doi = "https://doi.org/10.1016/0045-7825(85)90061-1",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180105-151340644",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84146,
    title ="A constitutive theory for the inelastic behavior of concrete",
    author = "Ortiz, Michael",
    journal = "Mechanics of Materials",
    volume = "4",
    number = "1",
    pages = "67-93",
    month = "March",
    year = "1985",
    doi = "https://doi.org/10.1016/0167-6636(85)90007-9",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180105-151816056",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84147,
    title ="A variational formulation for convection-diffusion problems",
    author = "Ortiz, M.",
    journal = "International Journal of Engineering Science",
    volume = "23",
    number = "7",
    pages = "717-731",
    month = "January",
    year = "1985",
    doi = "https://doi.org/10.1016/0020-7225(85)90004-7",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180105-152010629",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84150,
    title ="Numerical integration of rate constitutive equations in finite deformation analysis",
    author = "Pinsky, Peter M. and Ortiz, Miguel and Pister, Karl S.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "40",
    number = "2",
    pages = "137-158",
    month = "October",
    year = "1983",
    doi = "https://doi.org/10.1016/0045-7825(83)90087-7",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180105-152657675",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84151,
    title ="Distortional Hardening Rules for Metal Plasticity",
    author = "Ortiz, Miguel and Popov, Egor P.",
    journal = "Journal of Engineering Mechanics",
    volume = "109",
    number = "4",
    pages = "1042-1057",
    month = "August",
    year = "1983",
    doi = "https://doi.org/10.1061/(ASCE)0733-9399(1983)109:4(1042)",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180105-153010711",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84153,
    title ="Operator split methods for the numerical solution of the elastoplastic dynamic problem",
    author = "Ortiz, Miguel and Pinsky, Peter M. and Taylor, Robert L.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "39",
    number = "2",
    pages = "137-157",
    month = "August",
    year = "1983",
    doi = "https://doi.org/10.1016/0045-7825(83)90018-X",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180105-153718420",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84152,
    title ="Unconditionally stable element-by-element algorithms for dynamic problems",
    author = "Ortiz, Miguel and Pinsky, Peter M. and Taylor, Robert L.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "36",
    number = "2",
    pages = "223-239",
    month = "February",
    year = "1983",
    
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180105-153425697",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84148,
    title ="Operator split methods in the numerical solution of the finite deformation elastoplastic dynamic problem",
    author = "Pinsky, Peter M. and Ortiz, Miguel and Taylor, Robert L.",
    journal = "Computers and Structures",
    volume = "17",
    number = "3",
    pages = "345-359",
    month = "January",
    year = "1983",
    doi = "https://doi.org/10.1016/0045-7949(83)90126-8",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180105-152230031",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84156,
    title ="A Physical Model for the Inelasticity of Concrete",
    author = "Ortiz, M. and Popov, E. P.",
    journal = "Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences",
    volume = "383",
    number = "1784",
    pages = "101-125",
    month = "September",
    year = "1982",
    doi = "https://doi.org/10.1098/rspa.1982.0123",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180105-154518480",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84154,
    title ="Plain concrete as a composite material",
    author = "Ortiz, Miguel and Popov, Egor P.",
    journal = "Mechanics of Materials",
    volume = "1",
    number = "2",
    pages = "139-150",
    month = "May",
    year = "1982",
    doi = "https://doi.org/10.1016/0167-6636(82)90042-4",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180105-153942293",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84155,
    title ="A Statistical Theory of Polycrystalline Plasticity",
    author = "Ortiz, M. and Popov, E. P.",
    journal = "Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences",
    volume = "379",
    number = "1777",
    pages = "439-458",
    month = "February",
    year = "1982",
    doi = "https://doi.org/10.1098/rspa.1982.0025",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180105-154320925",
}