<h1>Ortiz, Michael</h1> <h2>Combined from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2> <ul> <li>Yu, Haiyang and He, Jianying, el al. (2025) <a href="https://authors.library.caltech.edu/records/p930f-6ga66">A self-consistent void-based rationale for hydrogen embrittlement</a>; Scripta Materialia; Vol. 255; 116403; <a href="https://doi.org/10.1016/j.scriptamat.2024.116403">10.1016/j.scriptamat.2024.116403</a></li> <li>Prume, E. and Gierden, C., el al. (2025) <a href="https://authors.library.caltech.edu/records/14vay-vs965">Direct data-driven algorithms for multiscale mechanics</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 433; 117525; <a href="https://doi.org/10.1016/j.cma.2024.117525">10.1016/j.cma.2024.117525</a></li> <li>Ulloa, J. and Ariza, M.P., el al. (2025) <a href="https://authors.library.caltech.edu/records/6vdbh-s6488">Homogenized models of mechanical metamaterials</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 433; 117454; <a href="https://doi.org/10.1016/j.cma.2024.117454">10.1016/j.cma.2024.117454</a></li> <li>Molinos, M. and Ortiz, Michael, el al. (2024) <a href="https://authors.library.caltech.edu/records/93jhj-vqv29">Thermalized and mixed meanfield ADP potentials for magnesium hydrides</a>; Mechanics of Materials; Vol. 199; 105175; <a href="https://doi.org/10.1016/j.mechmat.2024.105175">10.1016/j.mechmat.2024.105175</a></li> <li>Ulloa, J. and Ariza, M. P., el al. (2024) <a href="https://authors.library.caltech.edu/records/y7stc-bhm64">Fracture and size effect in mechanical metamaterials</a>; Journal of the Mechanics and Physics of Solids; Vol. 193; 105860; <a href="https://doi.org/10.1016/j.jmps.2024.105860">10.1016/j.jmps.2024.105860</a></li> <li>Ulloa, Jacinto and Stainier, Laurent, el al. (2024) <a href="https://authors.library.caltech.edu/records/b0gr5-py935">Data-driven micromorphic mechanics for materials with strain localization</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 429; 117180; <a href="https://doi.org/10.1016/j.cma.2024.117180">10.1016/j.cma.2024.117180</a></li> <li>Cruzado, A. and Ariza, M. P., el al. (2024) <a href="https://authors.library.caltech.edu/records/rtv0t-bw068">A discrete dislocation analysis of size-dependent plasticity in torsion</a>; Journal of the Mechanics and Physics of Solids; Vol. 190; 105709; <a href="https://doi.org/10.1016/j.jmps.2024.105709">10.1016/j.jmps.2024.105709</a></li> <li>Alfarisy, Dewangga and Zuhal, Lavi, el al. (2024) <a href="https://authors.library.caltech.edu/records/ek2j8-sac58">Point collocation with mollified piecewise polynomial approximants for high‐order partial differential equations</a>; International Journal for Numerical Methods in Engineering; e7548; <a href="https://doi.org/10.1002/nme.7548">10.1002/nme.7548</a></li> <li>Ariza, M. P. and Conti, S., el al. (2024) <a href="https://authors.library.caltech.edu/records/5whse-ybz38">Homogenization and continuum limit of mechanical metamaterials</a>; Mechanics of Materials; Vol. 196; 105073; <a href="https://doi.org/10.1016/j.mechmat.2024.105073">10.1016/j.mechmat.2024.105073</a></li> <li>Pandolfi, A. and Ortiz, M. (2024) <a href="https://authors.library.caltech.edu/records/xq599-q3w78">Use of effective multiscale cohesive models in the simulation of spall in metal plates</a>; International Journal for Numerical Methods in Engineering; Vol. 125; No. 9; e7446; <a href="https://doi.org/10.1002/nme.7446">10.1002/nme.7446</a></li> <li>Salahshoor, Hossein and Ortiz, Michael (2024) <a href="https://authors.library.caltech.edu/records/rrrjv-5n264">Application of Data-Driven computing to patient-specific prediction of the viscoelastic response of human brain under transcranial ultrasound stimulation</a>; Biomechanics and Modeling in Mechanobiology; <a href="https://doi.org/10.1007/s10237-024-01830-w">10.1007/s10237-024-01830-w</a></li> <li>Ding, Yu and Yu, Haiyang, el al. (2024) <a href="https://authors.library.caltech.edu/records/spg9t-yra67">Hydrogen trapping and diffusion in polycrystalline nickel: The spectrum of grain boundary segregation</a>; Journal of Materials Science & Technology; Vol. 173; 225-236; <a href="https://doi.org/10.1016/j.jmst.2023.07.027">10.1016/j.jmst.2023.07.027</a></li> <li>Werneck, Linda and Han, Mertcan, el al. (2024) <a href="https://authors.library.caltech.edu/records/eh88r-12f66">A simple quantitative model of neuromodulation, Part I: Ion flow through neural ion channels</a>; Journal of the Mechanics and Physics of Solids; Vol. 182; 105457; <a href="https://doi.org/10.1016/j.jmps.2023.105457">10.1016/j.jmps.2023.105457</a></li> <li>Bhattacharya, Kaushik and Gavini, Vikram, el al. (2023) <a href="https://authors.library.caltech.edu/records/nc59f-2jz76">Accurate Approximations of Density Functional Theory for Large Systems with Applications to Defects in Crystalline Solids</a>; ISBN 978-3-031-22339-6; Density Functional Theory: Modeling, Mathematical Analysis, Computational Methods, and Applications; 525-578; <a href="https://doi.org/10.1007/978-3-031-22340-2_12">10.1007/978-3-031-22340-2_12</a></li> <li>Pandolfi, A. and Stainier, L., el al. (2023) <a href="https://authors.library.caltech.edu/records/2zv0d-40h73">An optimal-transport finite-particle method for mass diffusion</a>; <a href="https://doi.org/10.48550/arXiv.2305.05315">10.48550/arXiv.2305.05315</a></li> <li>Weinberg, K. and Stainier, L., el al. (2023) <a href="https://authors.library.caltech.edu/records/e3w8d-x7954">Data-Driven Games in Computational Mechanics</a>; <a href="https://doi.org/10.48550/arXiv.2305.19279">10.48550/arXiv.2305.19279</a></li> <li>Liu, Burigede and Ortiz, Michael, el al. (2023) <a href="https://authors.library.caltech.edu/records/9jh8m-4gn23">Towards Quantum Computational Mechanics</a>; <a href="https://doi.org/10.48550/arXiv.2312.03791">10.48550/arXiv.2312.03791</a></li> <li>Ahmad, Rasool and Liu, Mingliang, el al. (2023) <a href="https://authors.library.caltech.edu/records/e84dq-tqj49">Homogenizing elastic properties of large digital rock images by combining CNN with hierarchical homogenization method</a>; <a href="https://doi.org/10.48550/arXiv.2305.06519">10.48550/arXiv.2305.06519</a></li> <li>Manav, M. and Ponga, M., el al. (2023) <a href="https://authors.library.caltech.edu/records/4nbfv-5rx84">Modeling hard-soft block copolymers as a liquid crystalline polymer</a>; <a href="https://doi.org/10.48550/arXiv.2305.07673">10.48550/arXiv.2305.07673</a></li> <li>Romero, Ignacio and Ortiz, Michael (2023) <a href="https://authors.library.caltech.edu/records/kj7yz-etf63">The energy-stepping Monte Carlo method: an exactly symmetry-preserving, a Hamiltonian Monte Carlo method with a 100% acceptance ratio</a>; <a href="https://doi.org/10.48550/arXiv.2312.07215">10.48550/arXiv.2312.07215</a></li> <li>Weinberg, K. and Stainier, L., el al. (2023) <a href="https://authors.library.caltech.edu/records/xhwd6-yvp66">Data-Driven games in computational mechanics</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 417; 116399; <a href="https://doi.org/10.1016/j.cma.2023.116399">10.1016/j.cma.2023.116399</a></li> <li>Ariza, M. P. and Conti, S., el al. (2023) <a href="https://authors.library.caltech.edu/records/apva3-4tf55">Fractional strain gradient plasticity and ductile fracture of metals</a>; European Journal of Mechanics - A/Solids; 105172; <a href="https://doi.org/10.1016/j.euromechsol.2023.105172">10.1016/j.euromechsol.2023.105172</a></li> <li>Salahshoor, Hossein and Yao, Yuxing, el al. (2023) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20221128-494241100.5">Geometric effects in gas vesicle buckling under ultrasound</a>; Biophysical Journal; Vol. 121; No. 21; 4221-4228; PMCID PMC9674984; <a href="https://doi.org/10.1016/j.bpj.2022.09.004">10.1016/j.bpj.2022.09.004</a></li> <li>Bulin, J. and Hamaekers, J., el al. (2023) <a href="https://authors.library.caltech.edu/records/zhqxx-0t840">Interatomic-Potential-Free, Data-Driven Molecular Dynamics</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 415; 116224; <a href="https://doi.org/10.1016/j.cma.2023.116224">10.1016/j.cma.2023.116224</a></li> <li>Ulloa, Jacinto and Gorgogianni, Anna, el al. (2023) <a href="https://authors.library.caltech.edu/records/5s9tc-v9641">Data-driven breakage mechanics: Predicting the evolution of particle-size distribution in granular media</a>; Journal of the Mechanics and Physics of Solids; Vol. 178; 105328; <a href="https://doi.org/10.1016/j.jmps.2023.105328">10.1016/j.jmps.2023.105328</a></li> <li>Conti, Sergio and Hoffmann, Franca, el al. (2023) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230711-988768900.18">Convergence rates for ansatz‐free data‐driven inference in physically constrained problems</a>; ZAMM - Journal of Applied Mathematics; Art. No. e202200481; <a href="https://doi.org/10.1002/zamm.202200481">10.1002/zamm.202200481</a></li> <li>Molinos, M. and Ortiz, Michael, el al. (2023) <a href="https://authors.library.caltech.edu/records/a0hb8-1eh80">Atomistic-scale model for the numerical analysis of the hydrogen diffusion on magnesium alloys</a>; Revista española de mecánica de la fractura; Vol. 5; No. 5; 181-186</li> <li>Gorgogianni, Anna and Karapiperis, Konstantinos, el al. (2023) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230411-695015900.6">Adaptive goal-oriented data sampling in Data-Driven Computational Mechanics</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 409; Art. No. 115949; <a href="https://doi.org/10.1016/j.cma.2023.115949">10.1016/j.cma.2023.115949</a></li> <li>Wattel, Sacha and Molinari, Jean-François, el al. (2023) <a href="https://authors.library.caltech.edu/records/69x94-b3n22">Mesh d-refinement: A data-based computational framework to account for complex material response</a>; Mechanics of Materials; Vol. 180; 104630; <a href="https://doi.org/10.1016/j.mechmat.2023.104630">10.1016/j.mechmat.2023.104630</a></li> <li>Ahmad, Rasool and Liu, Mingliang, el al. (2023) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230404-258305700.8">Computation of effective elastic moduli of rocks using hierarchical homogenization</a>; Journal of the Mechanics and Physics of Solids; Vol. 174; Art. No. 105268; <a href="https://doi.org/10.1016/j.jmps.2023.105268">10.1016/j.jmps.2023.105268</a></li> <li>Prume, Erik and Stainier, Laurent, el al. (2023) <a href="https://authors.library.caltech.edu/records/n6551-2rx95">A data‐driven solver scheme for inelastic problems</a>; PAMM; Vol. 23; No. 1; e202200153; <a href="https://doi.org/10.1002/pamm.202200153">10.1002/pamm.202200153</a></li> <li>Phansalkar, Dhananjay and Jadhav, Deepak B., el al. (2023) <a href="https://authors.library.caltech.edu/records/rz7ym-6yh29">Extension of the spatially adaptive phase-field model to various forms of fracture</a>; Forces in Mechanics; Vol. 10; 100161; <a href="https://doi.org/10.1016/j.finmec.2022.100161">10.1016/j.finmec.2022.100161</a></li> <li>Conti, Sergio and Hoffmann, Franca, el al. (2023) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230203-893210800.26">Model-Free and Prior-Free Data-Driven Inference in Mechanics</a>; Archive for Rational Mechanics and Analysis; Vol. 247; No. 1; Art. No. 7; <a href="https://doi.org/10.1007/s00205-022-01836-7">10.1007/s00205-022-01836-7</a></li> <li>Salahshoor, Hossein and Ortiz, Michael (2023) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20221117-155430600.5">Model-free Data-Driven viscoelasticity in the frequency domain</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 403; No. Pt. A; Art. No. 115657; <a href="https://doi.org/10.1016/j.cma.2022.115657">10.1016/j.cma.2022.115657</a></li> <li>Prume, E. and Reese, S., el al. (2023) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20221128-494241100.30">Model-free Data-Driven inference in computational mechanics</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 403; Art. No. 115704; <a href="https://doi.org/10.1016/j.cma.2022.115704">10.1016/j.cma.2022.115704</a></li> <li>Romero, Ignacio and Ortiz, Michael (2023) <a href="https://authors.library.caltech.edu/records/q92ct-ja103">Extended molecular dynamics: Seamless temporal coarse-graining and transition between deterministic and probabilistic paradigms</a>; European Journal of Mechanics - A/Solids; Vol. 97; 104858; <a href="https://doi.org/10.1016/j.euromechsol.2022.104858">10.1016/j.euromechsol.2022.104858</a></li> <li>Ding, Yu and Yu, Haiyang, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220817-896609000">Hydrogen-enhanced grain boundary vacancy stockpiling causes transgranular to intergranular fracture transition</a>; Acta Materialia; Vol. 239; Art. No. 118279; <a href="https://doi.org/10.1016/j.actamat.2022.118279">10.1016/j.actamat.2022.118279</a></li> <li>Salahshoor, Hossein and Ortiz, Michael (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230322-367761000.29">A model-free Data-Driven paradigm for in situ patient-specific prediction of human brain response to ultrasound stimulation</a>; <a href="https://doi.org/10.1101/2022.09.01.506248">10.1101/2022.09.01.506248</a></li> <li>Arca, F. and Mendez, J. P., el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220513-557834000">Strain-tuning of transport gaps and semiconductor-to-conductor phase transition in twinned graphene</a>; Acta Materialia; Vol. 234; Art. No. 117987; <a href="https://doi.org/10.1016/j.actamat.2022.117987">10.1016/j.actamat.2022.117987</a></li> <li>Salahshoor, Hossein and Yao, Yuxing, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220706-965638000">Geometric effects in gas vesicle buckling under ultrasound</a>; <a href="https://doi.org/10.1101/2022.06.27.497663">10.1101/2022.06.27.497663</a></li> <li>Phansalkar, Dhananjay and Weinberg, Kerstin, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220517-424411000">A spatially adaptive phase-field model of fracture</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 395; Art. No. 114880; <a href="https://doi.org/10.1016/j.cma.2022.114880">10.1016/j.cma.2022.114880</a></li> <li>Salahshoor, Hossein and Ortiz, Michael (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220707-204105977">Model-Free Data-Driven Viscoelasticity in the Frequency Domain</a>; <a href="https://doi.org/10.48550/arXiv.arXiv.2205.06674">10.48550/arXiv.arXiv.2205.06674</a></li> <li>Courte, Luca and Dondl, Patrick, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210719-210159826">A Proof of Taylor Scaling for Curvature-Driven Dislocation Motion Through Random Arrays of Obstacles</a>; Archive for Rational Mechanics and Analysis; Vol. 244; No. 2; 317-341; <a href="https://doi.org/10.1007/s00205-022-01765-5">10.1007/s00205-022-01765-5</a></li> <li>Kovachki, Nikola and Liu, Burigede, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220121-968309000">Multiscale modeling of materials: Computing, data science, uncertainty and goal-oriented optimization</a>; Mechanics of Materials; Vol. 165; Art. No. 104156; <a href="https://doi.org/10.1016/j.mechmat.2021.104156">10.1016/j.mechmat.2021.104156</a></li> <li>Salahshoor, Hossein and Guo, Hongsun, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210929-163841106">Mechanics of ultrasonic neuromodulation in a mouse subject</a>; Extreme Mechanics Letters; Vol. 50; 101539; PMCID PMC10760995; <a href="https://doi.org/10.1016/j.eml.2021.101539">10.1016/j.eml.2021.101539</a></li> <li>Bhattacharya, Kaushik and Gavini, Vikram, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220119-233956787">Accurate approximations of density functional theory for large systems with applications to defects in crystalline solids</a>; <a href="https://doi.org/10.48550/arXiv.2112.06016">10.48550/arXiv.2112.06016</a></li> <li>Karapiperis, K. and Ortiz, M., el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210908-171123194">Data-Driven nonlocal mechanics: Discovering the internal length scales of materials</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 386; Art. No. 114039; <a href="https://doi.org/10.1016/j.cma.2021.114039">10.1016/j.cma.2021.114039</a></li> <li>Pandolfi, A. and Weinberg, K., el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210225-132738559">A comparative accuracy and convergence study of eigenerosion and phase-field models of fracture</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 386; Art. No. 114078; <a href="https://doi.org/10.1016/j.cma.2021.114078">10.1016/j.cma.2021.114078</a></li> <li>Ding, Yu and Yu, Haiyang, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210722-162827192">Hydrogen-induced transgranular to intergranular fracture transition in bi-crystalline nickel</a>; Scripta Materialia; Vol. 204; Art. No. 114122; <a href="https://doi.org/10.1016/j.scriptamat.2021.114122">10.1016/j.scriptamat.2021.114122</a></li> <li>Carrara, P. and Ortiz, M., el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210722-144956534">Data-driven rate-dependent fracture mechanics</a>; Journal of the Mechanics and Physics of Solids; Vol. 155; Art. No. 104559; <a href="https://doi.org/10.1016/j.jmps.2021.104559">10.1016/j.jmps.2021.104559</a></li> <li>Eggersmann, Robert and Stainier, Laurent, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210225-132741960">Efficient data structures for model-free data-driven computational mechanics</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 382; Art. No. 113855; <a href="https://doi.org/10.1016/j.cma.2021.113855">10.1016/j.cma.2021.113855</a></li> <li>Liu, Burigede and Sun, Xingsheng, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210225-132735184">Hierarchical multiscale quantification of material uncertainty</a>; Journal of the Mechanics and Physics of Solids; Vol. 153; Art. No. 104492; <a href="https://doi.org/10.1016/j.jmps.2021.104492">10.1016/j.jmps.2021.104492</a></li> <li>Gupta, Prateek and Ortiz, Michael, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210518-103040351">Nonequilibrium thermomechanics of Gaussian phase packet crystals: Application to the quasistatic quasicontinuum method</a>; Journal of the Mechanics and Physics of Solids; Vol. 153; Art. No. 104495; <a href="https://doi.org/10.1016/j.jmps.2021.104495">10.1016/j.jmps.2021.104495</a></li> <li>Sun, Xingsheng and Liu, Burigede, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210713-212259269">Concurrent goal-oriented materials-by-design</a>; <a href="https://doi.org/10.48550/arXiv.2106.06074">10.48550/arXiv.2106.06074</a></li> <li>Conti, S. and Hoffmann, F., el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210719-210156414">Model-free Data-Driven Inference</a>; <a href="https://doi.org/10.48550/arXiv.2106.02728">10.48550/arXiv.2106.02728</a></li> <li>Platzer, Auriane and Leygue, Adrien, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210423-164852906">Finite element solver for data-driven finite strain elasticity</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 379; Art. No. 113756; <a href="https://doi.org/10.1016/j.cma.2021.113756">10.1016/j.cma.2021.113756</a></li> <li>Garcia-Suarez, J. and Asimaki, D., el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210216-140504716">Applications of the J-integral to dynamical problems in geotechnical engineering</a>; Journal of the Mechanics and Physics of Solids; Vol. 150; Art. No. 104353; <a href="https://doi.org/10.1016/j.jmps.2021.104353">10.1016/j.jmps.2021.104353</a></li> <li>Ariza, M. P. and Ortiz, M. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210317-151949384">A semi-discrete line-free method of monopoles for dislocation dynamics</a>; Extreme Mechanics Letters; Vol. 45; Art. No. 101267; <a href="https://doi.org/10.1016/j.eml.2021.101267">10.1016/j.eml.2021.101267</a></li> <li>Briccola, D. and Cuni, M., el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201102-091525367">Experimental Validation of the Attenuation Properties in the Sonic Range of Metaconcrete Containing Two Types of Resonant Inclusions</a>; Experimental Mechanics; Vol. 61; No. 3; 515-532; <a href="https://doi.org/10.1007/s11340-020-00668-4">10.1007/s11340-020-00668-4</a></li> <li>Karapiperis, K. and Stainier, L., el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201123-120506132">Data-Driven Multiscale Modeling in Mechanics</a>; Journal of the Mechanics and Physics of Solids; Vol. 147; Art. No. 104239; <a href="https://doi.org/10.1016/j.jmps.2020.104239">10.1016/j.jmps.2020.104239</a></li> <li>Manav, M. and Ortiz, M. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201012-103540350">Molecular dynamics study of the shock response of polyurea</a>; Polymer; Vol. 212; Art. No. 123109; <a href="https://doi.org/10.1016/j.polymer.2020.123109">10.1016/j.polymer.2020.123109</a></li> <li>Febrianto, Eky and Ortiz, Michael, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201210-083948637">Mollified finite element approximants of arbitrary order and smoothness</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 373; Art. No. 113513; <a href="https://doi.org/10.1016/j.cma.2020.113513">10.1016/j.cma.2020.113513</a></li> <li>Eggersmann, Robert and Stainier, Laurent, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201015-152733627">Model-free data-driven computational mechanics enhanced by tensor voting</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 373; Art. No. 113499; <a href="https://doi.org/10.1016/j.cma.2020.113499">10.1016/j.cma.2020.113499</a></li> <li>Carrara, P. and De Lorenzis, L., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200910-100202726">Data-driven fracture mechanics</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 372; Art. No. 113390; <a href="https://doi.org/10.1016/j.cma.2020.113390">10.1016/j.cma.2020.113390</a></li> <li>Arca, F. and Mendez, J. P., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200708-075007084">Charge-carrier transmission across twins in graphene</a>; Journal of Physics: Condensed Matter; Vol. 32; No. 42; Art. No. 425003; <a href="https://doi.org/10.1088/1361-648x/aba0d9">10.1088/1361-648x/aba0d9</a></li> <li>Salahshoor, Hossein and Shapiro, Mikhail G., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200420-131214393">Transcranial Focused Ultrasound Generates Skull-Conducted Shear Waves: Computational Model and Implications for Neuromodulation</a>; Applied Physics Letters; Vol. 117; No. 3; Art. No. 033702; PMCID PMC7386437; <a href="https://doi.org/10.1063/5.0011837">10.1063/5.0011837</a></li> <li>Schill, W. and Mendez, J. P., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200320-094313784">Shear localization as a mesoscopic stress-relaxation mechanism in fused silica glass at high strain rates</a>; Journal of the Mechanics and Physics of Solids; Vol. 140; Art. No. 103940; <a href="https://doi.org/10.1016/j.jmps.2020.103940">10.1016/j.jmps.2020.103940</a></li> <li>Conti, S. and Müller, S., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200313-132836970">Data-Driven Finite Elasticity</a>; Archive for Rational Mechanics and Analysis; Vol. 237; No. 1; 1-33; <a href="https://doi.org/10.1007/s00205-020-01490-x">10.1007/s00205-020-01490-x</a></li> <li>Weinberg, Kerstin and Ortiz, Michael (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210218-171550599">Ice Penetration by a Bluff-Body Melting Probe</a>; Journal of Applied Mechanics; Vol. 87; No. 6; Art. No. 061003; <a href="https://doi.org/10.1115/1.4046633">10.1115/1.4046633</a></li> <li>Ríos, J. D. and Cifuentes, H., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191203-154217834">Effect of polypropylene fibers on the fracture behavior of heated ultra-high performance concrete</a>; International Journal of Fracture; Vol. 223; No. 1-2; 173-187; <a href="https://doi.org/10.1007/s10704-019-00407-4">10.1007/s10704-019-00407-4</a></li> <li>Wu, Jianyang and He, Jianying, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200326-080855730">Supergiant elasticity and fracture of 3D spirally wound MoS₂</a>; International Journal of Fracture; Vol. 223; 39-52; <a href="https://doi.org/10.1007/s10704-020-00427-5">10.1007/s10704-020-00427-5</a></li> <li>Ponga, Mauricio and Bhattacharya, Kaushik, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200110-142048574">Large scale ab-initio simulations of dislocations</a>; Journal of Computational Physics; Vol. 407; Art. No. 109249; <a href="https://doi.org/10.1016/j.jcp.2020.109249">10.1016/j.jcp.2020.109249</a></li> <li>Schibber, E. F. and Mittelstein, D. R., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191223-114059821">A dynamical model of oncotripsy by mechanical cell fatigue: selective cancer cell ablation by low-intensity pulsed ultrasound</a>; Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 476; No. 2236; Art. No. 20190692; PMCID PMC7209139; <a href="https://doi.org/10.1098/rspa.2019.0692">10.1098/rspa.2019.0692</a></li> <li>Arca, F. and Mendez, J. P., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191205-090217849">Spontaneous twinning as an accommodation mechanism in monolayer graphene</a>; European Journal of Mechanics - A/Solids; Vol. 80; Art. No. 103923; <a href="https://doi.org/10.1016/j.euromechsol.2019.103923">10.1016/j.euromechsol.2019.103923</a></li> <li>Dahlberg, Carl F. O. and Ortiz, Michael (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200430-120230708">Size Scaling of Plastic Deformation in Simple Shear: Fractional Strain-Gradient Plasticity and Boundary Effects in Conventional Strain-Gradient Plasticity</a>; Journal of Applied Mechanics; Vol. 87; No. 3; Art. No. 031017; <a href="https://doi.org/10.1115/1.4045872">10.1115/1.4045872</a></li> <li>Sun, X. and Kirchdoerfer, T., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191028-142036143">Rigorous Uncertainty Quantification and Design with Uncertain Material Models</a>; International Journal of Impact Engineering; Vol. 136; Art. No. 103418; <a href="https://doi.org/10.1016/j.ijimpeng.2019.103418">10.1016/j.ijimpeng.2019.103418</a></li> <li>Conti, S. and Müller, S., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190805-150303687">Symmetric Div-Quasiconvexity and the Relaxation of Static Problems</a>; Archive for Rational Mechanics and Analysis; Vol. 235; No. 2; 841-880; <a href="https://doi.org/10.1007/s00205-019-01433-1">10.1007/s00205-019-01433-1</a></li> <li>Mittelstein, David R. and Ye, Jian, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191002-094950438">Selective Ablation of Cancer Cells with Low Intensity Pulsed Ultrasound</a>; Applied Physics Letters; Vol. 116; No. 1; Art. No. 013701; <a href="https://doi.org/10.1063/1.5128627">10.1063/1.5128627</a></li> <li>Stainier, Laurent and Leygue, Adrien, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190604-153039944">Model-free data-driven methods in mechanics: material data identification and solvers</a>; Computational Mechanics; Vol. 64; No. 2; 381-393; <a href="https://doi.org/10.1007/s00466-019-01731-1">10.1007/s00466-019-01731-1</a></li> <li>Arca, Francisco and Mendez, Juan Pedro, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190716-082655936">Steric Interference in Bilayer Graphene with Point Dislocations</a>; Nanomaterials; Vol. 9; No. 7; Art. No. 1012; PMCID PMC6669646; <a href="https://doi.org/10.3390/nano9071012">10.3390/nano9071012</a></li> <li>Eggersmann, R. and Kirchdoerfer, T, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190304-093042764">Model-Free Data-Driven inelasticity</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 350; 81-99; <a href="https://doi.org/10.1016/j.cma.2019.02.016">10.1016/j.cma.2019.02.016</a></li> <li>Heyden, S. and Ortiz, M. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180604-073442987">Functional optimality of the sulcus pattern of the human brain</a>; Mathematical Medicine and Biology; Vol. 36; No. 2; 207-221; <a href="https://doi.org/10.1093/imammb/dqy007">10.1093/imammb/dqy007</a></li> <li>Wu, Jianyang and Gong, Hao, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190114-093259803">Topology and polarity of dislocation cores dictate the mechanical strength of monolayer MoS_2</a>; Applied Materials Today; Vol. 15; 34-42; <a href="https://doi.org/10.1016/j.apmt.2018.12.019">10.1016/j.apmt.2018.12.019</a></li> <li>Dahlberg, C. F. O. and Ortiz, M. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190225-123840084">Fractional strain-gradient plasticity</a>; European Journal of Mechanics - A/Solids; Vol. 75; 348-354; <a href="https://doi.org/10.1016/j.euromechsol.2019.02.006">10.1016/j.euromechsol.2019.02.006</a></li> <li>Sun, X. and Ariza, M. P., el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190107-130600369">Atomistic Modeling and Analysis of Hydride Phase Transformation in Palladium Nanoparticles</a>; Journal of the Mechanics and Physics of Solids; Vol. 125; 360-383; <a href="https://doi.org/10.1016/j.jmps.2019.01.006">10.1016/j.jmps.2019.01.006</a></li> <li>Kirchdoerfer, Trenton and Ortiz, Michael, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190530-074847285">Topology Optimization of Solid Rocket Fuel</a>; AIAA Journal; Vol. 57; No. 4; 1684-1690; <a href="https://doi.org/10.2514/1.J057807">10.2514/1.J057807</a></li> <li>Deffo, A. and Ariza, M. P., el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180925-152150158">A line-free method of monopoles for 3D dislocation dynamics</a>; Journal of the Mechanics and Physics of Solids; Vol. 122; 566-589; <a href="https://doi.org/10.1016/j.jmps.2018.09.001">10.1016/j.jmps.2018.09.001</a></li> <li>Ortiz, Michael and Schmidt, Bernd, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180302-070321462">A variational approach to Navier-Stokes</a>; Nonlinearity; Vol. 31; No. 12; Art. No. 5664; <a href="https://doi.org/10.1088/1361-6544/aae722">10.1088/1361-6544/aae722</a></li> <li>Reina, Celia and Fokoua Djodom, Landry, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180806-110927280">Kinematics of elasto-plasticity: Validity and limits of applicability of F = F^eF^p for general three-dimensional deformations</a>; Journal of the Mechanics and Physics of Solids; Vol. 121; 99-113; <a href="https://doi.org/10.1016/j.jmps.2018.07.006">10.1016/j.jmps.2018.07.006</a></li> <li>Heyden, S. and Ortiz, M. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181212-142046456">Optimizing information transmission rates drives brain gyrification</a>; Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 474; No. 2219; Art. No. 20180527; <a href="https://doi.org/10.1098/rspa.2018.0527">10.1098/rspa.2018.0527</a></li> <li>Stebner, Aaron P. and Wehrenberg, Christopher, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180706-105716928">Strength of tantalum shocked at ultrahigh pressures</a>; Materials Science and Engineering A; Vol. 732; 220-227; <a href="https://doi.org/10.1016/j.msea.2018.06.105">10.1016/j.msea.2018.06.105</a></li> <li>Mendez, J. P. and Arca, F., el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180518-133908702">Charge carrier transport across grain boundaries in graphene</a>; Acta Materialia; Vol. 154; 199-206; <a href="https://doi.org/10.1016/j.actamat.2018.05.019">10.1016/j.actamat.2018.05.019</a></li> <li>Conti, S. and Müller, S., el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180131-140932556">Data-Driven Problems in Elasticity</a>; Archive for Rational Mechanics and Analysis; Vol. 229; No. 1; 79-123; <a href="https://doi.org/10.1007/s00205-017-1214-0">10.1007/s00205-017-1214-0</a></li> <li>Mendez, J. P. and Ponga, M., el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180312-142155426">Diffusive molecular dynamics simulations of lithiation of silicon nanopillars</a>; Journal of the Mechanics and Physics of Solids; Vol. 115; 123-141; <a href="https://doi.org/10.1016/j.jmps.2018.03.008">10.1016/j.jmps.2018.03.008</a></li> <li>Kirchdoerfer, T. and Liebscher, A., el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180404-092418928">CTH shock physics simulation of non-linear material effects within an aerospace CFRP fastener assembly due to direct lightning attachment</a>; Composite Structures; Vol. 189; 357-365; <a href="https://doi.org/10.1016/j.compstruct.2017.11.061">10.1016/j.compstruct.2017.11.061</a></li> <li>Schill, W. and Heyden, S., el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180201-135857640">The anomalous yield behavior of fused silica glass</a>; Journal of the Mechanics and Physics of Solids; Vol. 113; 105-125; <a href="https://doi.org/10.1016/j.jmps.2018.01.004">10.1016/j.jmps.2018.01.004</a></li> <li>Kirchdoerfer, T. and Ortiz, M. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171101-121627090">Data-Driven Computing in Dynamics</a>; International Journal for Numerical Methods in Engineering; Vol. 113; No. 11; 1697-1710; <a href="https://doi.org/10.1002/nme.5716">10.1002/nme.5716</a></li> <li>Sun, Xingsheng and Ariza, Pilar, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180221-092513945">Long-term atomistic simulation of hydrogen absorption in palladium nanocubes using a diffusive molecular dynamics method</a>; International Journal of Hydrogen Energy; Vol. 43; No. 11; 5657-5667; <a href="https://doi.org/10.1016/j.ijhydene.2018.01.169">10.1016/j.ijhydene.2018.01.169</a></li> <li>Sun, D. and Ponga, M., el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171221-151321326">Proliferation of twinning in hexagonal close-packed metals: Application to magnesium</a>; Journal of the Mechanics and Physics of Solids; Vol. 112; 368-384; <a href="https://doi.org/10.1016/j.jmps.2017.12.009">10.1016/j.jmps.2017.12.009</a></li> <li>Sun, X. and Ariza, M. P., el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170912-141252063">Acceleration of diffusive molecular dynamics simulations through mean field approximation and subcycling time integration</a>; Journal of Computational Physics; Vol. 350; 470-492; <a href="https://doi.org/10.1016/j.jcp.2017.08.069">10.1016/j.jcp.2017.08.069</a></li> <li>Fedeli, L. and Pandolfi, A., el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171106-141823774">Geometrically exact time-integration mesh-free schemes for advection-diffusion problems derived from optimal transportation theory and their connection with particle methods</a>; International Journal for Numerical Methods in Engineering; Vol. 112; No. 9; 1175-1193; <a href="https://doi.org/10.1002/nme.5552">10.1002/nme.5552</a></li> <li>Kirchdoerfer, T. and Ortiz, M. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-102809775">Data Driven Computing with Noisy Material Data Sets</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 326; 622-641; <a href="https://doi.org/10.1016/j.cma.2017.07.039">10.1016/j.cma.2017.07.039</a></li> <li>Sun, Xingsheng and Ariza, Pilar, el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180418-093213482">Atomistic Simulation of Hydrogen Diffusion in Palladium Nanoparticles Using a Diffusive Molecular Dynamics Method</a>; ISBN 978-0-7918-5844-8; Mechanics of Solids, Structures and Fluids; NDE, Structural Health Monitoring and Prognosis; Art. No. V009T12A026; <a href="https://doi.org/10.1115/IMECE2017-71400">10.1115/IMECE2017-71400</a></li> <li>Kirchdoerfer, Trenton and Ortiz, Michael (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170912-142917371">Data-Driven Computing</a>; ISBN 978-3-319-60884-6; Advances in Computational Plasticity: A Book in Honour of D. Roger J. Owen; 165-183; <a href="https://doi.org/10.1007/978-3-319-60885-3_8">10.1007/978-3-319-60885-3_8</a></li> <li>Ponga, M. and Ortiz, M., el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171117-145404249">A comparative study of nanovoid growth in FCC metals</a>; Philosophical Magazine; Vol. 97; No. 32; 2985-3007; <a href="https://doi.org/10.1080/14786435.2017.1364437">10.1080/14786435.2017.1364437</a></li> <li>De Bellis, Maria Laura and Della Vecchia, Gabriele, el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160316-140142435">A multiscale model of distributed fracture and permeability in solids in all-round compression</a>; Journal of the Mechanics and Physics of Solids; Vol. 104; 12-31; <a href="https://doi.org/10.1016/j.jmps.2017.03.017">10.1016/j.jmps.2017.03.017</a></li> <li>Briccola, Deborah and Ortiz, Michael, el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170331-074653697">Experimental Validation of Metaconcrete Blast Mitigation Properties</a>; Journal of Applied Mechanics; Vol. 84; No. 3; Art. No. 031001; <a href="https://doi.org/10.1115/1.4035259">10.1115/1.4035259</a></li> <li>Heyden, S. and Ortiz, M. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170302-082150368">Investigation of the influence of viscoelasticity on oncotripsy</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 314; 314-322; <a href="https://doi.org/10.1016/j.cma.2016.08.026">10.1016/j.cma.2016.08.026</a></li> <li>Motamarri, Phani and Gavini, Vikram, el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161012-162032480">Spectrum-splitting approach for Fermi-operator expansion in all-electron Kohn-Sham DFT calculations</a>; Physical Review B; Vol. 95; No. 3; Art. No. 035111; <a href="https://doi.org/10.1103/PhysRevB.95.035111">10.1103/PhysRevB.95.035111</a></li> <li>Balzani, D. and Schmidt, T., el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160307-085012921">Method for the quantification of rupture probability in soft collagenous tissues</a>; International Journal for Numerical Methods in Biomedical Engineering; Vol. 33; No. 1; Art. No. e02781; <a href="https://doi.org/10.1002/cnm.2781">10.1002/cnm.2781</a></li> <li>De Bellis, M. L. and Della Vecchia, G., el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170119-123323401">A linearized porous brittle damage material model with distributed frictional-cohesive faults</a>; Engineering Geology; Vol. 215; 10-24; <a href="https://doi.org/10.1016/j.enggeo.2016.10.010">10.1016/j.enggeo.2016.10.010</a></li> <li>Heyden, S. and Ortiz, M., el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161121-081314774">All-atom molecular dynamics simulations of multiphase segregated polyurea under quasistatic, adiabatic, uniaxial compression</a>; Polymer; Vol. 106; 100-108; <a href="https://doi.org/10.1016/j.polymer.2016.10.053">10.1016/j.polymer.2016.10.053</a></li> <li>Natsiavas, P. P. and Weinberg, K., el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160620-075212141">Effect of prestress on the stability of electrode–electrolyte interfaces during charging in lithium batteries</a>; Journal of the Mechanics and Physics of Solids; Vol. 95; 92-111; <a href="https://doi.org/10.1016/j.jmps.2016.05.007">10.1016/j.jmps.2016.05.007</a></li> <li>Ponga, M. and Bhattacharya, K., el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161006-104337036">A sublinear-scaling approach to density-functional-theory analysis of crystal defects</a>; Journal of the Mechanics and Physics of Solids; Vol. 95; 530-556; <a href="https://doi.org/10.1016/j.jmps.2016.05.029">10.1016/j.jmps.2016.05.029</a></li> <li>Mitchell, Sarah L. and Ortiz, Michael (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160718-102711891">Computational multiobjective topology optimization of silicon anode structures for lithium-ion batteries</a>; Journal of Power Sources; Vol. 326; 242-251; <a href="https://doi.org/10.1016/j.jpowsour.2016.06.136">10.1016/j.jpowsour.2016.06.136</a></li> <li>Runnels, Brandon and Beyerlein, Irene J., el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160930-092102044">A relaxation method for the energy and morphology of grain boundaries and interfaces</a>; Journal of the Mechanics and Physics of Solids; Vol. 94; 388-408; <a href="https://doi.org/10.1016/j.jmps.2015.11.007">10.1016/j.jmps.2015.11.007</a></li> <li>Ponga, Mauricio and Ramabathiran, Amuthan A., el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160729-162325302">Dynamic behavior of nano-voids in magnesium under hydrostatic tensile stress</a>; Modelling and Simulation in Materials Science and Engineering; Vol. 24; No. 6; Art. No. 065003; <a href="https://doi.org/10.1088/0965-0393/24/6/065003">10.1088/0965-0393/24/6/065003</a></li> <li>Wang, Xin-Cindy and Blesgen, Thomas, el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160523-075651915">A Variational Framework for Spectral Approximations of Kohn–Sham Density Functional Theory</a>; Archive for Rational Mechanics and Analysis; Vol. 221; No. 2; 1035-1075; <a href="https://doi.org/10.1007/s00205-016-0978-y">10.1007/s00205-016-0978-y</a></li> <li>Heyden, S. and Ortiz, M. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160502-083438790">Oncotripsy: Targeting cancer cells selectively via resonant harmonic excitation</a>; Journal of the Mechanics and Physics of Solids; Vol. 92; 164-175; <a href="https://doi.org/10.1016/j.jmps.2016.04.016">10.1016/j.jmps.2016.04.016</a></li> <li>Kirchdoerfer, T. and Ortiz, M. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160316-133550600">Data-driven computational mechanics</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 304; 81-101; <a href="https://doi.org/10.1016/j.cma.2016.02.001">10.1016/j.cma.2016.02.001</a></li> <li>McKeon, Beverley and Bhattacharya, Kaushik, el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200224-133536093">Morphing surfaces for the control of boundary layer transition</a></li> <li>Runnels, Brandon and Beyerlein, Irene J., el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160301-092051608">An analytical model of interfacial energy based on a lattice-matching interatomic energy</a>; Journal of the Mechanics and Physics of Solids; Vol. 89; 174-193; <a href="https://doi.org/10.1016/j.jmps.2016.01.008">10.1016/j.jmps.2016.01.008</a></li> <li>Gonzalez-Ferreiro, B. and Romero, I., el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160602-154054144">A numerical method for the time coarsening of transport processes at the atomistic scale</a>; Modelling and Simulation in Materials Science and Engineering; Vol. 24; No. 4; Art. No. 045011; <a href="https://doi.org/10.1088/0965-0393/24/4/045011">10.1088/0965-0393/24/4/045011</a></li> <li>Mitchell, Stephanie J. and Pandolfi, Anna, el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160425-142101643">Effect of Brittle Fracture in a Metaconcrete Slab under Shock Loading</a>; Journal of Engineering Mechanics; Vol. 142; No. 4; Art. No. 04016010; <a href="https://doi.org/10.1061/(ASCE)EM.1943-7889.0001034">10.1061/(ASCE)EM.1943-7889.0001034</a></li> <li>Conti, Sergio and Ortiz, Michael (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160128-110737717">Optimal Scaling in Solids Undergoing Ductile Fracture by Crazing</a>; Archive for Rational Mechanics and Analysis; Vol. 219; No. 2; 607-636; <a href="https://doi.org/10.1007/s00205-015-0901-y">10.1007/s00205-015-0901-y</a></li> <li>Heyden, Stefanie and Nagler, Andreas, el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151130-103341973">Material modeling of cardiac valve tissue: Experiments, constitutive analysis and numerical investigation</a>; Journal of Biomechanics; Vol. 48; No. 16; 4287-4296; <a href="https://doi.org/10.1016/j.jbiomech.2015.10.043">10.1016/j.jbiomech.2015.10.043</a></li> <li>Mitchell, Stephanie J. and Pandolfi, Anna, el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160107-133701732">Investigation of elastic wave transmission in a metaconcrete slab</a>; Mechanics of Materials; Vol. 91; 295-303; <a href="https://doi.org/10.1016/j.mechmat.2015.08.004">10.1016/j.mechmat.2015.08.004</a></li> <li>Conti, Sergio and Garroni, Adriana, el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150820-094455406">The Line-Tension Approximation as the Dilute Limit of Linear-Elastic Dislocations</a>; Archive for Rational Mechanics and Analysis; Vol. 218; No. 2; 699-755; <a href="https://doi.org/10.1007/s00205-015-0869-7">10.1007/s00205-015-0869-7</a></li> <li>Ponga, M. and Ortiz, M., el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151016-125346179">Finite-temperature non-equilibrium quasi-continuum analysis of nanovoid growth in copper at low and high strain rates</a>; Mechanics of Materials; Vol. 90; 253-267; <a href="https://doi.org/10.1016/j.mechmat.2015.02.007">10.1016/j.mechmat.2015.02.007</a></li> <li>Heyden, S. and Conti, S., el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151016-131555916">A nonlocal model of fracture by crazing in polymers</a>; Mechanics of Materials; Vol. 90; 131-139; <a href="https://doi.org/10.1016/j.mechmat.2015.02.006">10.1016/j.mechmat.2015.02.006</a></li> <li>Martin, C. S. and Ariza, M. P., el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171117-150333066">Modeling thermal conductivity in silicon nanowires</a>; GAMM-Mitteilungen; Vol. 38; No. 2; 201-212; <a href="https://doi.org/10.1002/gamm.201510011">10.1002/gamm.201510011</a></li> <li>Klusemann, B. and Ortiz, M. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150724-105805749">Acceleration of material-dominated calculations via phase-space simplicial subdivision and interpolation</a>; International Journal for Numerical Methods in Engineering; Vol. 103; No. 4; 256-274; <a href="https://doi.org/10.1002/nme.4887">10.1002/nme.4887</a></li> <li>Baskes, M. I. and Ortiz, M. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150625-135311281">Scaling Laws in the Ductile Fracture of Metallic Crystals</a>; Journal of Applied Mechanics; Vol. 82; No. 7; Art. No. 071003; <a href="https://doi.org/10.1115/1.4030329">10.1115/1.4030329</a></li> <li>Wang, K. G. and Ortiz, M., el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150515-073520397">Long-term atomistic simulation of hydrogen diffusion in metals</a>; International Journal of Hydrogen Energy; Vol. 40; No. 15; 5353-5358; <a href="https://doi.org/10.1016/j.ijhydene.2015.01.110">10.1016/j.ijhydene.2015.01.110</a></li> <li>Li, B. and Pandolfi, A., el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150205-083744373">Material-point erosion simulation of dynamic fragmentation of metals</a>; Mechanics of Materials; Vol. 80; 288-297; <a href="https://doi.org/10.1016/j.mechmat.2014.03.008">10.1016/j.mechmat.2014.03.008</a></li> <li>Heyden, S. and Li, B., el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141117-084849745">A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity</a>; Journal of the Mechanics and Physics of Solids; Vol. 74; 175-195; <a href="https://doi.org/10.1016/j.jmps.2014.08.005">10.1016/j.jmps.2014.08.005</a></li> <li>Ariza, M. P. and Martin, C. S., el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160930-132814884">Atomistic Modeling and Simulation of Long-Term Transport Phenomena in Nanomaterials</a>; ISBN 978-84-944244-6-5; Computational Plasticity XIII; 238-247</li> <li>Johnson, G. and Leyendecker, S., el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141219-081601928">Discontinuous variational time integrators for complex multibody collisions</a>; International Journal for Numerical Methods in Engineering; Vol. 100; No. 12; 871-913; <a href="https://doi.org/10.1002/nme.4764">10.1002/nme.4764</a></li> <li>Venturini, G. and Wang, K., el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141015-093205200">Atomistic long-term simulation of heat and mass transport</a>; Journal of the Mechanics and Physics of Solids; Vol. 73; 242-268; <a href="https://doi.org/10.1016/j.jmps.2014.09.008">10.1016/j.jmps.2014.09.008</a></li> <li>Balzani, Daniel and Schmidt, Thomas, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170330-072907176">Calculation of Optimal Bounds on the Probability of Failure of Soft Biological Tissues</a>; Proceedings in Applied Mathematics and Mechanics; Vol. 14; No. 1; 93-94; <a href="https://doi.org/10.1002/pamm.201410034">10.1002/pamm.201410034</a></li> <li>Kamga, P.-H. T. and Li, B., el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141201-081327318">Optimal uncertainty quantification with model uncertainty and legacy data</a>; Journal of the Mechanics and Physics of Solids; Vol. 72; 1-19; <a href="https://doi.org/10.1016/j.jmps.2014.07.007">10.1016/j.jmps.2014.07.007</a></li> <li>Ariza, M. P. and Wang, K. G., el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171117-150624065">Atomistic Models of Long-Term Hydrogen Diffusion in Metals</a>; Advances in Science and Technology; Vol. 93; 118-123; <a href="https://doi.org/10.4028/www.scientific.net/AST.93.118">10.4028/www.scientific.net/AST.93.118</a></li> <li>Li, B. and Stalzer, M., el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141002-101310343">A massively parallel implementation of the Optimal Transportation Meshfree method for explicit solid dynamics</a>; International Journal for Numerical Methods in Engineering; Vol. 100; No. 1; 40-61; <a href="https://doi.org/10.1002/nme.4710">10.1002/nme.4710</a></li> <li>Pandolfi, A. and Li, B., el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170719-112646074">Modeling fracture by material-point erosion</a>; ISBN 978-3-319-04396-8; Fracture Phenomena in Nature and Technology; 3-16; <a href="https://doi.org/10.1007/978-3-319-04397-5_2">10.1007/978-3-319-04397-5_2</a></li> <li>Fokoua, Landry and Conti, Sergio, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140327-112854588">Optimal Scaling in Solids Undergoing Ductile Fracture by Void Sheet Formation</a>; Archive for Rational Mechanics and Analysis; Vol. 212; No. 1; 331-357; <a href="https://doi.org/10.1007/s00205-013-0687-8">10.1007/s00205-013-0687-8</a></li> <li>Mitchell, Stephanie J. and Pandolfi, Anna, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140508-084344238">Metaconcrete: designed aggregates to enhance dynamic performance</a>; Journal of the Mechanics and Physics of Solids; Vol. 65; 69-81; <a href="https://doi.org/10.1016/j.jmps.2014.01.003">10.1016/j.jmps.2014.01.003</a></li> <li>Hurtado, D. E. and Stainier, L., el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140116-143601176">The special-linear update: An application of differential manifold theory to the update of isochoric plasticity flow rules</a>; International Journal for Numerical Methods in Engineering; Vol. 97; No. 4; 298-312; <a href="https://doi.org/10.1002/nme.4600">10.1002/nme.4600</a></li> <li>Ponga, Mauricio and Ariza, Pilar, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141124-095544294">Linear Scaling DFT for defects in metals</a>; ISBN 9781118889725; Annual Meeting Supplemental Proceedings; 265-272; <a href="https://doi.org/10.1002/9781118889879.ch35">10.1002/9781118889879.ch35</a></li> <li>Fokoua, Landry and Conti, Sergio, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140130-134426507">Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity</a>; Journal of the Mechanics and Physics of Solids; Vol. 62; 295-311; <a href="https://doi.org/10.1016/j.jmps.2013.11.002">10.1016/j.jmps.2013.11.002</a></li> <li>Perotti, L. E. and Bompadre, A., el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20131108-093716091">Automatically inf-sup compliant diamond-mixed finite elements for Kirchhoff plates</a>; International Journal for Numerical Methods in Engineering; Vol. 96; No. 7; 405-424; <a href="https://doi.org/10.1002/nme.4555">10.1002/nme.4555</a></li> <li>Pandolfi, A. and Li, B., el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140109-090108326">Modeling fracture by material-point erosion</a>; International Journal of Fracture; Vol. 184; No. 1-2; 3-16; <a href="https://doi.org/10.1007/s10704-012-9788-x">10.1007/s10704-012-9788-x</a></li> <li>Sullivan, T. J. and McKerns, M., el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20131119-093417975">Optimal Uncertainty Quantification for Legacy Data Observations of Lipschitz Functions</a>; ESAIM-Mathematical Modelling and Numerical Analysis; Vol. 47; No. 6; 1657-1689; <a href="https://doi.org/10.1051/m2an/2013083">10.1051/m2an/2013083</a></li> <li>Español, Malena I. and Kochmann, Dennis M., el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20131104-155146267">A Γ-Convergence Analysis of the Quasicontinuum Method</a>; Multiscale Modeling and Simulation; Vol. 11; No. 3; 766-794; <a href="https://doi.org/10.1137/120895354">10.1137/120895354</a></li> <li>Owhadi, H. and Scovel, C., el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130618-075057070">Optimal Uncertainty Quantification</a>; SIAM Review; Vol. 55; No. 2; 271-345; <a href="https://doi.org/10.1137/10080782X">10.1137/10080782X</a></li> <li>Reina, Celia and Li, Bo, el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130221-133820482">A micromechanical model of distributed damage due to void growth in general materials and under general deformation histories</a>; International Journal for Numerical Methods in Engineering; Vol. 93; No. 6; 575-611; <a href="https://doi.org/10.1002/nme.4397">10.1002/nme.4397</a></li> <li>Sullivan, T. J. and Koslowski, M., el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171117-150903971">Thermalization of rate-independent processes by entropic regularization</a>; Discrete and Continuous Dynamical Systems Series S; Vol. 6; No. 1; 215-233; <a href="https://doi.org/10.3934/dcdss.2013.6.215">10.3934/dcdss.2013.6.215</a></li> <li>Perotti, L. E. and Deiterding, R., el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130301-090507891">Elastic response of water-filled fiber composite tubes under shock wave loading</a>; International Journal of Solids and Structures; Vol. 50; No. 3-4; 473-486; <a href="https://doi.org/10.1016/j.ijsolstr.2012.10.015">10.1016/j.ijsolstr.2012.10.015</a></li> <li>Hurtado, Daniel E. and Ortiz, Michael (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130115-101157040">Finite element analysis of geometrically necessary dislocations in crystal plasticity</a>; International Journal for Numerical Methods in Engineering; Vol. 93; No. 1; 66-79; <a href="https://doi.org/10.1002/nme.4376">10.1002/nme.4376</a></li> <li>Suryanarayana, Phanish and Bhattacharya, Kaushik, el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160316-132823605">Coarse-graining Kohn-Sham Density Functional Theory</a>; Journal of the Mechanics and Physics of Solids; Vol. 61; No. 1; 38-60; <a href="https://doi.org/10.1016/j.jmps.2012.09.002">10.1016/j.jmps.2012.09.002</a></li> <li>Suryanarayana, Phanish and Bhattacharya, Kaushik, el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20121204-074348348">Coarse-graining Kohn–Sham Density Functional Theory</a>; Journal of the Mechanics and Physics of Solids; Vol. 61; No. 1; 38-60; <a href="https://doi.org/10.1016/j.jmps.2012.09.002">10.1016/j.jmps.2012.09.002</a></li> <li>Ponga, M. and Ortiz, M., el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141218-102818033">Coupled thermoelastic simulation of nanovoid cavitation by dislocation emission at finite temperature</a>; ISBN 978-84-941407-6-1; Computational Methods for Coupled Problems in Science and Engineering V; 1213-1225</li> <li>Li, B. and Perotti, L., el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130619-145739093">Large scale Optimal Transportation Meshfree (OTM) Simulations of Hypervelocity Impact</a>; Procedia Engineering; Vol. 58; 320-327; <a href="https://doi.org/10.1016/j.proeng.2013.05.036">10.1016/j.proeng.2013.05.036</a></li> <li>Pandolfi, A. and Ortiz, M. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20121129-135118318">An eigenerosion approach to brittle fracture</a>; International Journal for Numerical Methods in Engineering; Vol. 92; No. 8; 694-714; <a href="https://doi.org/10.1002/nme.4352">10.1002/nme.4352</a></li> <li>Balzani, Daniel and Ortiz, Michael (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20121129-084222336">Relaxed incremental variational formulation for damage at large strains with application to fiber-reinforced materials and materials with truss-like microstructures</a>; International Journal for Numerical Methods in Engineering; Vol. 92; No. 6; 551-570; <a href="https://doi.org/10.1002/nme.4351">10.1002/nme.4351</a></li> <li>Bompadre, Agustín and Perotti, Luigi E., el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200519-145536180">HOLMES: Convergent Meshfree Approximation Schemes of Arbitrary Order and Smoothness</a>; ISBN 978-3-642-32978-4; Meshfree Methods for Partial Differential Equations VI; 111-126; <a href="https://doi.org/10.1007/978-3-642-32979-1_7">10.1007/978-3-642-32979-1_7</a></li> <li>Johnson, G. and Ortiz, M., el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20121107-081815613">A linear programming-based algorithm for the signed separation of (non-smooth) convex bodies</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 233-236; 49-67; <a href="https://doi.org/10.1016/j.cma.2012.04.006">10.1016/j.cma.2012.04.006</a></li> <li>Hurtado, Daniel E. and Ortiz, Michael (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120720-152701866">Surface effects and the size-dependent hardening and strengthening of nickel micropillars</a>; Journal of the Mechanics and Physics of Solids; Vol. 60; No. 8; 1432-1446; <a href="https://doi.org/10.1016/j.jmps.2012.04.009">10.1016/j.jmps.2012.04.009</a></li> <li>Ariza, M. P. and Serrano, R., el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120625-113231865">Stacking faults and partial dislocations in graphene</a>; Philosophical Magazine; Vol. 92; No. 16; 2004-2021; <a href="https://doi.org/10.1080/14786435.2012.657254">10.1080/14786435.2012.657254</a></li> <li>Bompadre, A. and Schmidt, B., el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20121203-131119602">Convergence Analysis of Meshfree Approximation Schemes</a>; SIAM Journal on Numerical Analysis; Vol. 50; No. 3; 1344-1366; <a href="https://doi.org/10.1137/110828745">10.1137/110828745</a></li> <li>Bompadre, A. and Perotti, L. E., el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120525-095216954">Convergent meshfree approximation schemes of arbitrary order and smoothness</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 221-222; 83-103; <a href="https://doi.org/10.1016/j.cma.2012.01.020">10.1016/j.cma.2012.01.020</a></li> <li>Adams, M. and Lashgari, A., el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120430-133945935">Rigorous model-based uncertainty quantification with application to terminal ballistics—Part II. Systems with uncontrollable inputs and large scatter</a>; Journal of the Mechanics and Physics of Solids; Vol. 60; No. 5; 1002-1019; <a href="https://doi.org/10.1016/j.jmps.2011.12.002">10.1016/j.jmps.2011.12.002</a></li> <li>Kidane, A. and Lashgari, A., el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120502-091106236">Rigorous model-based uncertainty quantification with application to terminal ballistics, part I: Systems with controllable inputs and small scatter</a>; Journal of the Mechanics and Physics of Solids; Vol. 60; No. 5; 983-1001; <a href="https://doi.org/10.1016/j.jmps.2011.12.001">10.1016/j.jmps.2011.12.001</a></li> <li>Li, B. and Kidane, A., el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120403-094946212">Verification and validation of the Optimal Transportation Meshfree (OTM) simulation of terminal ballistics</a>; International Journal of Impact Engineering; Vol. 42; 25-36; <a href="https://doi.org/10.1016/j.ijimpeng.2011.11.003">10.1016/j.ijimpeng.2011.11.003</a></li> <li>Ariza, M. P. and Tellechea, E., el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120430-084558611">Double kink mechanisms for discrete dislocations in BCC crystals</a>; International Journal of Fracture; Vol. 174; No. 1; 29-40; <a href="https://doi.org/10.1007/s10704-012-9681-7">10.1007/s10704-012-9681-7</a></li> <li>Ariza, M. P. and Romero, I., el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120430-074243222">HotQC simulation of nanovoid growth under tension in copper</a>; International Journal of Fracture; Vol. 174; No. 1; 75-85; <a href="https://doi.org/10.1007/s10704-011-9660-4">10.1007/s10704-011-9660-4</a></li> <li>McKerns, M. and Owhadi, H., el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160224-080348129">The optimal uncertainty algorithm in the mystic framework</a>; <a href="https://doi.org/10.48550/arXiv.1202.1055">10.48550/arXiv.1202.1055</a></li> <li>Gonzalez, Marcial and Yang, Jinkyu, el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111128-085742465">Mesoscopic approach to granular crystal dynamics</a>; Physical Review E; Vol. 85; No. 1; Art. No. 016604; <a href="https://doi.org/10.1103/PhysRevE.85.016604">10.1103/PhysRevE.85.016604</a></li> <li>Venturini, G. and Marian, J., el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120517-081016822">Thermal Expansion Behavior of AL and TA Using a Finite-Temperature Extension of the Quasicontinuum Method</a>; International Journal for Multiscale Computational Engineering; Vol. 10; No. 1; 1-11</li> <li>Kochmann, Dennis M. and Amelang, Jeffrey S., el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180223-110852480">From atomistics to the continuum: a mesh-free quasicontinuum formulation based on local max-ent approximation schemes</a>; PAMM; Vol. 11; No. 1; 393-394; <a href="https://doi.org/10.1002/pamm.201110188">10.1002/pamm.201110188</a></li> <li>Venturini, G. and Yang, J. Z., el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111114-145609664">Replica time integrators</a>; International Journal for Numerical Methods in Engineering; Vol. 88; No. 6; 586-611; <a href="https://doi.org/10.1002/nme.3202">10.1002/nme.3202</a></li> <li>Reina, C. and Marian, J., el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111011-115920039">Nanovoid nucleation by vacancy aggregation and vacancy-cluster coarsening in high-purity metallic single crystals</a>; Physical Review B; Vol. 84; No. 10; 104117; <a href="https://doi.org/10.1103/PhysRevB.84.104117">10.1103/PhysRevB.84.104117</a></li> <li>Topcu, U. and Lucas, L. J., el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110822-140452319">Rigorous uncertainty quantification without integral testing</a>; Reliability Engineering and System Safety; Vol. 96; No. 9; 1085-1091; <a href="https://doi.org/10.1016/j.ress.2010.07.013">10.1016/j.ress.2010.07.013</a></li> <li>Suryanarayana, Phanish and Bhattacharya, Kaushik, el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110623-074123014">A mesh-free convex approximation scheme for Kohn–Sham density functional theory</a>; Journal of Computational Physics; Vol. 230; No. 13; 5226-5238; <a href="https://doi.org/10.1016/j.jcp.2011.03.018">10.1016/j.jcp.2011.03.018</a></li> <li>Rimoli, J. J. and Ortiz, M. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110510-105826693">A duality-based method for generating geometric representations of polycrystals</a>; International Journal for Numerical Methods in Engineering; Vol. 86; No. 9; 1069-1081; <a href="https://doi.org/10.1002/nme.3090">10.1002/nme.3090</a></li> <li>Jung, Pascal and Leyendecker, Sigrid, el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110222-151826704">A discrete mechanics approach to the Cosserat rod theory-Part 1: static equilibria</a>; International Journal for Numerical Methods in Engineering; Vol. 85; No. 1; 31-60; <a href="https://doi.org/10.1002/nme.2950">10.1002/nme.2950</a></li> <li>Ariza, M. P. and Ventura, C., el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120113-102143268">Modelo de fuerzas interatómicas para el grafeno a partir del potencial AIREBO</a>; Revista Internacional de Métodos Numéricos Para Cálculo Y Diseño en Ingeniería; Vol. 27; No. 2; 105-116</li> <li>Gonzalez, M. and Schmidt, B., el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110119-101735770">Force-stepping integrators in Lagrangian mechanics</a>; International Journal for Numerical Methods in Engineering; Vol. 84; No. 12; 1407-1450; <a href="https://doi.org/10.1002/nme.2942">10.1002/nme.2942</a></li> <li>Hill, D. J. and Pullin, D., el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110302-102610242">An Eulerian hybrid WENO centered-difference solver for elastic-plastic solids</a>; Journal of Computational Physics; Vol. 229; No. 24; 9053-9072; <a href="https://doi.org/10.1016/j.jcp.2010.08.020">10.1016/j.jcp.2010.08.020</a></li> <li>Leyendecker, S. and Ober-Bloebaum, S., el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110310-100105962">Discrete mechanics and optimal control for constrained systems</a>; Optimal Control Applications and Methods; Vol. 31; No. 6; 505-528; <a href="https://doi.org/10.1002/oca.912">10.1002/oca.912</a></li> <li>Ariza, M. P. and Ortiz, M., el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20101012-093620068">Long-term dynamic stability of discrete dislocations in graphene at finite temperature</a>; International Journal of Fracture; Vol. 166; No. 1-2; 215-223; <a href="https://doi.org/10.1007/s10704-010-9527-0">10.1007/s10704-010-9527-0</a></li> <li>Fraternali, Fernando and Negri, Matteo, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20101011-101117330">On the convergence of 3D free discontinuity models in variational fracture</a>; International Journal of Fracture; Vol. 166; No. 1-2; 3-11; <a href="https://doi.org/10.1007/s10704-010-9462-0">10.1007/s10704-010-9462-0</a></li> <li>Bjerkén, C. and Ortiz, M. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20101004-105129323">Evolution of anodic stress corrosion cracking in a coated material</a>; International Journal of Fracture; Vol. 165; No. 2; 211-221; <a href="https://doi.org/10.1007/s10704-010-9514-5">10.1007/s10704-010-9514-5</a></li> <li>Li, B. and Habbal, F., el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20101022-154521445">Optimal transportation meshfree approximation schemes for fluid and plastic flows</a>; International Journal for Numerical Methods in Engineering; Vol. 83; No. 12; 1541-1579; <a href="https://doi.org/10.1002/nme.2869">10.1002/nme.2869</a></li> <li>Owhadi, H. and Scovel, C., el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111012-113158874">Optimal Uncertainty Quantification</a>; <a href="https://doi.org/10.7907/TTW6-QD19">10.7907/TTW6-QD19</a></li> <li>Hansen, B. L. and Bronkhorst, C. A., el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100712-142922131">Dislocation subgrain structures and modeling the plastic hardening of metallic single crystals</a>; Modelling and Simulation in Materials Science and Engineering; Vol. 18; No. 5; Art. No. 055001; <a href="https://doi.org/10.1088/0965-0393/18/5/055001">10.1088/0965-0393/18/5/055001</a></li> <li>Leyendecker, Sigrid and Lucas, Leonard J., el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100709-105908209">Optimal Control Strategies for Robust Certification</a>; Journal of Computational and Nonlinear Dynamics; Vol. 5; No. 3; Art. No. 031008; <a href="https://doi.org/10.1115/1.4001375">10.1115/1.4001375</a></li> <li>Ariza, M. P. and Ortiz, M. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171117-151152380">Discrete dislocations in graphene</a>; Journal of the Mechanics and Physics of Solids; Vol. 58; No. 5; 710-734; <a href="https://doi.org/10.1016/j.jmps.2010.02.008">10.1016/j.jmps.2010.02.008</a></li> <li>Theil, Florian and Sullivan, Tim, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200603-073605619">Dissipative Systems in Contact with a Heat Bath: Application to Andrade Creep</a>; ISBN 978-90-481-9194-9; IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials; 261-272; <a href="https://doi.org/10.1007/978-90-481-9195-6_20">10.1007/978-90-481-9195-6_20</a></li> <li>Gonzalez, M. and Schmidt, B., el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100513-140146860">Energy-stepping integrators in Lagrangian mechanics</a>; International Journal for Numerical Methods in Engineering; Vol. 82; No. 2; 205-241; <a href="https://doi.org/10.1002/nme.2753">10.1002/nme.2753</a></li> <li>Abraham, J. and Abreu, P., el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100415-075729464">Measurement of the Depth of Maximum of Extensive Air Showers above 10^(18) eV</a>; Physical Review Letters; Vol. 104; No. 9; Art. No.091101; <a href="https://doi.org/10.1103/PhysRevLett.104.091101">10.1103/PhysRevLett.104.091101</a></li> <li>Stainier, L. and Ortiz, M. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100225-094200302">Study and validation of a variational theory of thermo-mechanical coupling in finite visco-plasticity</a>; International Journal of Solids and Structures; Vol. 47; No. 5; 705-715; <a href="https://doi.org/10.1016/j.ijsolstr.2009.11.012">10.1016/j.ijsolstr.2009.11.012</a></li> <li>Suryanarayana, Phanish and Vikram, Gavini, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100302-131546235">Non-periodic finite-element formulation of Kohn–Sham density functional theory</a>; Journal of the Mechanics and Physics of Solids; Vol. 58; No. 2; 256-280; <a href="https://doi.org/10.1016/j.jmps.2009.10.002">10.1016/j.jmps.2009.10.002</a></li> <li>Marian, J. and Venturini, G., el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100121-141104452">Finite-temperature extension of the quasicontinuum method using Langevin dynamics: entropy losses and analysis of errors</a>; Modelling and Simulation in Materials Science and Engineering; Vol. 18; No. 1; Art. No. 015003; <a href="https://doi.org/10.1088/0965-0393/18/1/015003">10.1088/0965-0393/18/1/015003</a></li> <li>Rimoli, J. J. and Gürses, E., el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100216-152951955">Shock-induced subgrain microstructures as possible homogenous sources of hot spots and initiation sites in energetic polycrystals</a>; Physical Review B; Vol. 81; No. 1; 014112; <a href="https://doi.org/10.1103/PhysRevB.81.014112">10.1103/PhysRevB.81.014112</a></li> <li>Rimoli, J. J. and Ortiz, M. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100624-085532611">A three-dimensional multiscale model of intergranular hydrogen-assisted cracking</a>; Philosophical Magazine; Vol. 90; No. 21; 2939-2963; <a href="https://doi.org/10.1080/14786431003752134">10.1080/14786431003752134</a></li> <li>Cyron, C. J. and Arroyo, M., el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20091022-115918749">Smooth, second order, non-negative meshfree approximants selected by maximum entropy</a>; International Journal for Numerical Methods in Engineering; Vol. 79; No. 13; 1605-1632; <a href="https://doi.org/10.1002/nme.2597">10.1002/nme.2597</a></li> <li>Abraham, J. and Abreu, P., el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20091201-094133422">Atmospheric effects on extensive air showers observed with the surface detector of the Pierre Auger observatory</a>; Astroparticle Physics; Vol. 32; No. 2; 89-99; <a href="https://doi.org/10.1016/j.astropartphys.2009.06.004">10.1016/j.astropartphys.2009.06.004</a></li> <li>Larsen, C. J. and Ortiz, M., el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090904-105348917">Fracture Paths from Front Kinetics: Relaxation and Rate Independence</a>; Archive for Rational Mechanics and Analysis; Vol. 193; No. 3; 539-583; <a href="https://doi.org/10.1007/s00205-009-0216-y">10.1007/s00205-009-0216-y</a></li> <li>Weinberg, Kerstin and Ortiz, Michael (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090808-142504866">Kidney damage in extracorporeal shock wave lithotripsy: a numerical approach for different shock profiles</a>; Biomechanics and Modeling in Mechanobiology; Vol. 8; No. 4; 285-299; <a href="https://doi.org/10.1007/s10237-008-0135-0">10.1007/s10237-008-0135-0</a></li> <li>Chalivendra, Vijaya B. and Hong, Soosung, el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090430-111534836">Experimental validation of large-scale simulations of dynamic fracture along weak planes</a>; International Journal of Impact Engineering; Vol. 36; No. 7; 888-898; <a href="https://doi.org/10.1016/j.ijimpeng.2008.11.009">10.1016/j.ijimpeng.2008.11.009</a></li> <li>Sullivan, T. and Koslowski, M., el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090904-125145240">On the behavior of dissipative systems in contact with a heat bath: Application to Andrade creep</a>; Journal of the Mechanics and Physics of Solids; Vol. 57; No. 7; 1058-1077; <a href="https://doi.org/10.1016/j.jmps.2009.03.006">10.1016/j.jmps.2009.03.006</a></li> <li>Pandolfi, Anna and Ortiz, Michael (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090624-131751374">A numerical model of light adjustable lens</a>; Computational Mechanics; Vol. 44; No. 1; 133-143; <a href="https://doi.org/10.1007/s00466-008-0361-4">10.1007/s00466-008-0361-4</a></li> <li>Schmidt, Bernd and Leyendecker, Sigrid, el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090914-142014445">Γ-convergence of Variational Integrators for Constrained Systems</a>; Journal of Nonlinear Science; Vol. 19; No. 2; 153-177; <a href="https://doi.org/10.1007/s00332-008-9030-1">10.1007/s00332-008-9030-1</a></li> <li>El Sayed, T. and Mock, Willis, Jr., el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090807-150328529">Computational assessment of ballistic impact on a high strength structural steel/polyurea composite plate</a>; Computational Mechanics; Vol. 43; No. 4; 525-534; <a href="https://doi.org/10.1007/s00466-008-0327-6">10.1007/s00466-008-0327-6</a></li> <li>Schmidt, Bernd and Fraternali, Fernando, el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:SCHMmms09">Eigenfracture: An Eigendeformation Approach to Variational Fracture</a>; Multiscale Modeling and Simulation; Vol. 7; No. 3; 1237-1266; <a href="https://doi.org/10.1137/080712568">10.1137/080712568</a></li> <li>Mosler, J. and Ortiz, M. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:MOSijnme09">An error-estimate-free and remapping-free variational mesh refinement and coarsening method for dissipative solids at finite strains</a>; International Journal for Numerical Methods in Engineering; Vol. 77; No. 3; 437-450; <a href="https://doi.org/10.1002/nme.2428">10.1002/nme.2428</a></li> <li>El Sayed, Tamer and Mota, Alejandro, el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:ELScmame08">Biomechanics of traumatic brain injury</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 197; No. 51-52; 4692-4701; <a href="https://doi.org/10.1016/j.cma.2008.06.006">10.1016/j.cma.2008.06.006</a></li> <li>Lucas, L. J. and Owhadi, H., el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:LUCcmame08">Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 197; No. 51-52; 4591-4609; <a href="https://doi.org/10.1016/j.cma.2008.06.008">10.1016/j.cma.2008.06.008</a></li> <li>Ramasubramaniam, A. and Itakura, M., el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:RAMjmr08">Effect of atomic scale plasticity on hydrogen diffusion in iron: Quantum mechanically informed and on-the-fly kinetic Monte Carlo simulations</a>; Journal of Materials Research; Vol. 23; No. 10; 2757-2773; <a href="https://doi.org/10.1557/JMR.2008.0340">10.1557/JMR.2008.0340</a></li> <li>Leyendecker, Sigrid and Marsden, Jerrold E., el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:LEYzamm08">Variational integrators for constrained dynamical systems</a>; Zeitschrift für Angewandte Mathematik und Mechanik; Vol. 88; No. 9; 677-708; <a href="https://doi.org/10.1002/zamm.200700173">10.1002/zamm.200700173</a></li> <li>Mielke, Alexander and Ortiz, Michael (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171121-095528613">A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems</a>; ESAIM: Control, Optimisation and Calculus of Variations; Vol. 14; No. 3; 494-516; <a href="https://doi.org/10.1051/cocv:2007064">10.1051/cocv:2007064</a></li> <li>Zielonka, M. G. and Ortiz, M., el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100917-153815166">Variational r-adaption in elastodynamics</a>; International Journal for Numerical Methods in Engineering; Vol. 74; No. 7; 1162-1197; <a href="https://doi.org/10.1002/nme.2205">10.1002/nme.2205</a></li> <li>Conti, S. and Ortiz, M. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171117-152209057">Minimum principles for the trajectories of systems governed by rate problems</a>; Journal of the Mechanics and Physics of Solids; Vol. 56; No. 5; 1885-1904; <a href="https://doi.org/10.1016/j.jmps.2007.11.006">10.1016/j.jmps.2007.11.006</a></li> <li>Kulkarni, Yashashree and Knapp, Jaroslaw, el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171121-095259651">A variational approach to coarse graining of equilibrium and non-equilibrium atomistic description at finite temperature</a>; Journal of the Mechanics and Physics of Solids; Vol. 56; No. 4; 1417-1449; <a href="https://doi.org/10.1016/j.jmps.2007.09.005">10.1016/j.jmps.2007.09.005</a></li> <li>Mota, Alejandro and Knap, Jaroslaw, el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171121-095741576">Fracture and fragmentation of simplicial finite element meshes using graphs</a>; International Journal for Numerical Methods in Engineering; Vol. 73; No. 11; 1547-1570; <a href="https://doi.org/10.1002/nme.2135">10.1002/nme.2135</a></li> <li>Pandolfi, Anna and Ortiz, Michael (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110511-082733397">Numerical Analysis of Elastomeric Fluidic Microvalves</a>; Sensor Letters; Vol. 6; No. 1; 43-48; <a href="https://doi.org/10.1166/sl.2008.002">10.1166/sl.2008.002</a></li> <li>Ariza, M. P. and Ramasubramaniam, A., el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200603-083049889">Discrete Dislocation Dynamics in Crystals</a>; ISBN 978-3-540-71991-5; Progress in Industrial Mathematics at ECMI 2006; 387-391; <a href="https://doi.org/10.1007/978-3-540-71992-2_58">10.1007/978-3-540-71992-2_58</a></li> <li>El Sayed, Tamer and Mota, Alejandro, el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180112-160452524">A variational constitutive model for soft biological tissues</a>; Journal of Biomechanics; Vol. 41; No. 7; 1458-1466; <a href="https://doi.org/10.1016/j.jbiomech.2008.02.023">10.1016/j.jbiomech.2008.02.023</a></li> <li>Leyendecker, Sigrid and Ober-Blŏbaum, S., el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20101005-084114302">Discrete mechanics and optimal control for constrained systems</a>; ISBN 978-0-7918-4806-7; Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference; 623-632; <a href="https://doi.org/10.1002/oca.912">10.1002/oca.912</a></li> <li>Pandolfi, Anna and Ortiz, Michael (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200603-101544417">Finite Element Analysis of Nonsmooth Frictional Contact</a>; ISBN 9781402064043; IUTAM Symposium on Computational Methods in Contact Mechanics; 57-76; <a href="https://doi.org/10.1007/978-1-4020-6405-0_4">10.1007/978-1-4020-6405-0_4</a></li> <li>Gavirini, Vikram and Bhattacharya, Kaushik, el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:GAVprb07">Vacancy clustering and prismatic dislocation loop formation in aluminum</a>; Physical Review B; Vol. 76; No. 18; Art. No. 180101; <a href="https://doi.org/10.1103/PhysRevB.76.180101">10.1103/PhysRevB.76.180101</a></li> <li>Mosler, J. and Ortiz, M. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171121-135438429">Variational h-adaption in finite deformation elasticity and plasticity</a>; International Journal for Numerical Methods in Engineering; Vol. 72; No. 5; 505-523; <a href="https://doi.org/10.1002/nme.2011">10.1002/nme.2011</a></li> <li>Hauret, P. and Kuhl, E., el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171121-135247808">Diamond elements: a finite element/discrete-mechanics approximation scheme with guaranteed optimal convergence in incompressible elasticity</a>; International Journal for Numerical Methods in Engineering; Vol. 72; No. 3; 253-294; <a href="https://doi.org/10.1002/nme.1992">10.1002/nme.1992</a></li> <li>Fortunelli, A. and Ortiz, M. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:FORpre07">Constitutive model for plasticity in an amorphous polycarbonate</a>; Physical Review E; Vol. 76; No. 4; Art. No. 041806; <a href="https://doi.org/10.1103/PhysRevE.76.041806">10.1103/PhysRevE.76.041806</a></li> <li>Yavari, A. and Ortiz, M., el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20131008-142756092">Anharmonic lattice statics analysis of 180º and 90º ferroelectric domain walls in PbTiO_3</a>; Philosophical Magazine; Vol. 87; No. 26; 3997-4026; <a href="https://doi.org/10.1080/14786430701418956">10.1080/14786430701418956</a></li> <li>Arias, Irene and Knap, Jaroslaw, el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171121-100722120">Numerical modelling and experimental validation of dynamic fracture events along weak planes</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 196; No. 37-40; 3833-3840; <a href="https://doi.org/10.1016/j.cma.2006.10.052">10.1016/j.cma.2006.10.052</a></li> <li>Pandolfi, Anna and Ortiz, Michael (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:PANjmm07">Improved design of low-pressure fluidic microvalves</a>; Journal of Micromechanics and Microengineering; Vol. 17; No. 8; 1487-1493; <a href="https://doi.org/10.1088/0960-1317/17/8/010">10.1088/0960-1317/17/8/010</a></li> <li>Gavini, Vikram and Bhattacharya, Kaushik, el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20131007-153105987">Quasi-continuum orbital-free density-functional theory: A route to multi-million atom non-periodic DFT calculation</a>; Journal of the Mechanics and Physics of Solids; Vol. 55; No. 4; 697-718; <a href="https://doi.org/10.1016/j.jmps.2007.01.012">10.1016/j.jmps.2007.01.012</a></li> <li>Gavini, Vikram and Knap, Jaroslaw, el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20101213-152730530">Non-periodic finite-element formulation of orbital-free density functional theory</a>; Journal of the Mechanics and Physics of Solids; Vol. 55; No. 4; 669-696; <a href="https://doi.org/10.1016/j.jmps.2006.09.011">10.1016/j.jmps.2006.09.011</a></li> <li>Conti, Sergio and Hauret, Patrice, el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:CONmms07">Concurrent Multiscale Computing of Deformation Microstructure by Relaxation and Local Enrichment with Application to Single-Crystal Plasticity</a>; Multiscale Modeling & Simulation; Vol. 6; No. 1; 135-157; <a href="https://doi.org/10.1137/060662332">10.1137/060662332</a></li> <li>Ramasubramaniam, A. and Ariza, M. P., el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171121-135628923">A discrete mechanics approach to dislocation dynamics in BCC crystals</a>; Journal of the Mechanics and Physics of Solids; Vol. 55; No. 3; 615-647; <a href="https://doi.org/10.1016/j.jmps.2006.08.005">10.1016/j.jmps.2006.08.005</a></li> <li>Yavari, Arash and Ortiz, Michael, el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20131009-090857631">A theory of anharmonic lattice statics for analysis of defective crystals</a>; Journal of Elasticity; Vol. 86; No. 1; 41-83; <a href="https://doi.org/10.1007/s10659-006-9079-8">10.1007/s10659-006-9079-8</a></li> <li>Yu, Rena C. and Pandolfi, Anna, el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200604-144115576">A 3D Cohesive Investigation on Branching for Brittle Materials</a>; ISBN 9781402065293; IUTAM Symposium on Discretization Methods for Evolving Discontinuities; 139-151; <a href="https://doi.org/10.1007/978-1-4020-6530-9_8">10.1007/978-1-4020-6530-9_8</a></li> <li>Pandolfi, A. and Conti, S., el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110715-150624112">A recursive-faulting model of distributed damage in confined brittle materials</a>; Journal of the Mechanics and Physics of Solids; Vol. 54; No. 9; 1972-2003; <a href="https://doi.org/10.1016/j.jmps.2006.02.003">10.1016/j.jmps.2006.02.003</a></li> <li>Mosler, J. and Ortiz, M. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-102503230">On the numerical implementation of variational arbitrary Lagrangian–Eulerian (VALE) formulations</a>; International Journal for Numerical Methods in Engineering; Vol. 67; No. 9; 1272-1289; <a href="https://doi.org/10.1002/nme.1621">10.1002/nme.1621</a></li> <li>Hauret, Patrice and Ortiz, Michael (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-101948445">BV estimates for mortar methods in linear elasticity</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 195; No. 37-40; 4783-4793; <a href="https://doi.org/10.1016/j.cma.2005.09.021">10.1016/j.cma.2005.09.021</a></li> <li>Hayes, Robin L. and Ho, Gregory, el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-102135095">Prediction of dislocation nucleation during nanoindentation of Al_3Mg by the orbital-free density functional theory local quasicontinuum method</a>; Philosophical Magazine; Vol. 86; No. 16; 2343-2358; <a href="https://doi.org/10.1080/14786430500525829">10.1080/14786430500525829</a></li> <li>Lew, A. and Caspersen, K., el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-102325449">Quantum mechanics based multiscale modeling of stress-induced phase transformations in iron</a>; Journal of the Mechanics and Physics of Solids; Vol. 54; No. 6; 1276-1303; <a href="https://doi.org/10.1016/j.jmps.2005.11.009">10.1016/j.jmps.2005.11.009</a></li> <li>Braides, Andrea and Lew, Adrian J., el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-101614160">Effective Cohesive Behavior of Layers of Interatomic Planes</a>; Archive for Rational Mechanics and Analysis; Vol. 180; No. 2; 151-182; <a href="https://doi.org/10.1007/s00205-005-0399-9">10.1007/s00205-005-0399-9</a></li> <li>Yavari, Arash and Marsden, Jerrold E., el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:YAVjmp06">On spatial and material covariant balance laws in elasticity</a>; Journal of Mathematical Physics; Vol. 47; No. 4; Art. No. 042903; <a href="https://doi.org/10.1063/1.2190827">10.1063/1.2190827</a></li> <li>Arroyo, M. and Ortiz, M. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-101329930">Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods</a>; International Journal for Numerical Methods in Engineering; Vol. 65; No. 13; 2167-2202; <a href="https://doi.org/10.1002/nme.1534">10.1002/nme.1534</a></li> <li>Arias, I. and Serebrinsky, S., el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191018-114729501">A phenomenological cohesive model of ferroelectric fatigue</a>; Acta Materialia; Vol. 54; No. 4; 975-984; <a href="https://doi.org/10.1016/j.actamat.2005.10.035">10.1016/j.actamat.2005.10.035</a></li> <li>Yang, Q. and Stainier, L., el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-103435161">A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids</a>; Journal of the Mechanics and Physics of Solids; Vol. 54; No. 2; 401-424; <a href="https://doi.org/10.1016/j.jmps.2005.08.010">10.1016/j.jmps.2005.08.010</a></li> <li>Yang, Q. and Mota, A., el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-103311936">A Finite-Deformation Constitutive Model of Bulk Metallic Glass Plasticity</a>; Computational Mechanics; Vol. 37; No. 2; 194-204; <a href="https://doi.org/10.1007/s00466-005-0690-5">10.1007/s00466-005-0690-5</a></li> <li>Weinberg, K. and Mota, A., el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-111130155">A variational constitutive model for porous metal plasticity</a>; Computational Mechanics; Vol. 37; No. 2; 142-152; <a href="https://doi.org/10.1007/s00466-005-0685-2">10.1007/s00466-005-0685-2</a></li> <li>Arias, Irene and Serebrinsky, Santiago, el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190821-105957679">Cohesive Model of Electromechanical Fatigue for Ferroelectric Materials and Structures</a>; ISBN 978-1-4020-4994-1; III European Conference on Computational Mechanics. Solids, Structures and Coupled Problems in Engineering: Book of Abstracts; 158; <a href="https://doi.org/10.1007/1-4020-5370-3_158">10.1007/1-4020-5370-3_158</a></li> <li>Mosler, J. and Ortiz, M. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191008-153941494">Finite strain r-adaption based on a fully variational framework</a>; ISBN 978-1-4020-4994-1; III European Conference on Computational Mechanics - Solids, Structures and Coupled Problems in Engineering: Book of Abstracts; 407; <a href="https://doi.org/10.1007/1-4020-5370-3_407">10.1007/1-4020-5370-3_407</a></li> <li>Mota, Alejandro and Knap, Jaroslaw, el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:MOTjpcs06">Three-dimensional fracture and fragmentation of artificial kidney stones</a>; Journal of Physics: Conference Series; Vol. 46; 299-303; <a href="https://doi.org/10.1088/1742-6596/46/1/041">10.1088/1742-6596/46/1/041</a></li> <li>Arias, Irene and Knap, Jaroslaw, el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200609-095317554">Validation of large scale simulations of dynamic fracture</a>; ISBN 978-1-4020-4994-1; III European Conference on Computational Mechanics - Solids, Structures and Coupled Problems in Engineering: Book of Abstracts; 252-252; <a href="https://doi.org/10.1007/1-4020-5370-3_252">10.1007/1-4020-5370-3_252</a></li> <li>Ariza, M. P. and Ortiz, M. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-110029910">Discrete Crystal Elasticity and Discrete Dislocations in Crystals</a>; Archive for Rational Mechanics and Analysis; Vol. 178; No. 2; 149-226; <a href="https://doi.org/10.1007/s00205-005-0391-4">10.1007/s00205-005-0391-4</a></li> <li>Serebrinsky, S. and Ortiz, M. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-110948068">A hysteretic cohesive-law model of fatigue-crack nucleation</a>; Scripta Materialia; Vol. 53; No. 10; 1193-1196; <a href="https://doi.org/10.1016/j.scriptamat.2005.07.015">10.1016/j.scriptamat.2005.07.015</a></li> <li>Cirak, Fehmi and Ortiz, Michael, el al. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-110244891">A cohesive approach to thin-shell fracture and fragmentation</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 194; No. 21-24; 2604-2618; <a href="https://doi.org/10.1016/j.cma.2004.07.048">10.1016/j.cma.2004.07.048</a></li> <li>Marian, Jaime and Knap, Jaroslaw, el al. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-110626684">Nanovoid deformation in aluminum under simple shear</a>; Acta Materialia; Vol. 53; No. 10; 2893-2900; <a href="https://doi.org/10.1016/j.actamat.2005.02.046">10.1016/j.actamat.2005.02.046</a></li> <li>Conti, Sergio and Ortiz, Michael (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-110428097">Dislocation Microstructures and the Effective Behavior of Single Crystals</a>; Archive for Rational Mechanics and Analysis; Vol. 176; No. 1; 103-147; <a href="https://doi.org/10.1007/s00205-004-0353-2">10.1007/s00205-004-0353-2</a></li> <li>Weinberg, K. and Ortiz, M. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-111255148">Shock wave induced damage in kidney tissue</a>; Computational Materials Science; Vol. 32; No. 3-4; 588-593; <a href="https://doi.org/10.1016/j.commatsci.2004.09.005">10.1016/j.commatsci.2004.09.005</a></li> <li>Yang, Q. and Mota, A., el al. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-113115594">A class of variational strain-localization finite elements</a>; International Journal for Numerical Methods in Engineering; Vol. 62; No. 8; 1013-1037; <a href="https://doi.org/10.1002/nme.1199">10.1002/nme.1199</a></li> <li>Klug, W. S. and Feldmann, M. T., el al. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170408-154613814">Three-dimensional director-field predictions of viral DNA packing arrangements</a>; Computational Mechanics; Vol. 35; No. 2; 146-152; <a href="https://doi.org/10.1007/s00466-004-0613-x">10.1007/s00466-004-0613-x</a></li> <li>Hayes, Robin L. and Fago, Matt, el al. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:HAYmms05">Prediction of Dislocation Nucleation During Nanoindentation by the Orbital-Free Density Functional Theory Local Quasi-continuum Method</a>; Multiscale Modeling and Simulation; Vol. 4; No. 2; 359-389; <a href="https://doi.org/10.1137/080727531">10.1137/080727531</a></li> <li>Sivakumar, Srinivasan M. and Ortiz, Michael (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-114315582">Microstructure evolution in the equal channel angular extrusion process</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 193; No. 48-51; 5177-5194; <a href="https://doi.org/10.1016/j.cma.2004.01.036">10.1016/j.cma.2004.01.036</a></li> <li>Weinberg, Kerstin and Colonius, Tim, el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190718-165126641">A Model for Kidney Tissue Damage under High Speed Loading</a>; Proceedings in Applied Mathematics and Mechanics; Vol. 4; No. 1; 234-235; <a href="https://doi.org/10.1002/pamm.200410098">10.1002/pamm.200410098</a></li> <li>Koslowski, M. and Ortiz, M. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:KOSmsmse04">A multi-phase field model of planar dislocation networks</a>; Modelling and Simulation in Materials Science and Engineering; Vol. 12; No. 6; 1087-1097; <a href="https://doi.org/10.1088/0965-0393/12/6/003">10.1088/0965-0393/12/6/003</a></li> <li>Marian, Jaime and Knap, Jaroslaw, el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-113716219">Nanovoid Cavitation by Dislocation Emission in Aluminum</a>; Physical Review Letters; Vol. 93; No. 16; Art. no. 165503; <a href="https://doi.org/10.1103/PhysRevLett.93.165503">10.1103/PhysRevLett.93.165503</a></li> <li>Serebrinsky, S. and Carter, E. A., el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-114149734">A quantum-mechanically informed continuum model of hydrogen embrittlement</a>; Journal of the Mechanics and Physics of Solids; Vol. 52; No. 10; 2403-2430; <a href="https://doi.org/10.1016/j.jmps.2004.02.010">10.1016/j.jmps.2004.02.010</a></li> <li>Caspersen, Kyle J. and Lew, Adrian, el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-113250402">Importance of Shear in the bcc-to-hcp Transformation in Iron</a>; Physical Review Letters; Vol. 93; No. 11; Art. No. 115501; <a href="https://doi.org/10.1103/PhysRevLett.93.115501">10.1103/PhysRevLett.93.115501</a></li> <li>Thoutireddy, P. and Ortiz, M. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-114428592">A variational r-adaption and shape-optimization method for finite-deformation elasticity</a>; International Journal for Numerical Methods in Engineering; Vol. 61; No. 1; 1-21; <a href="https://doi.org/10.1002/nme.1052">10.1002/nme.1052</a></li> <li>Fago, Matt and Hayes, Robin L., el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-113430030">Density-functional-theory-based local quasicontinuum method: Prediction of dislocation nucleation</a>; Physical Review B; Vol. 70; No. 10; Art. No. 100102(R); <a href="https://doi.org/10.1103/PhysRevB.70.100102">10.1103/PhysRevB.70.100102</a></li> <li>Arias, I. and Serebrinsky, S., el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180709-154444981">A cohesive model of fatigue of ferroelectric materials under electro-mechanical cyclic loading</a>; ISBN 0819453048; Smart Structures and Materials 2004: Active Materials: Behavior and Mechanics; 371-378; <a href="https://doi.org/10.1117/12.540097">10.1117/12.540097</a></li> <li>Ortiz, M. and Pandolfi, A. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-114018119">A variational Cam-clay theory of plasticity</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 193; No. 27-29; 2645-2666; <a href="https://doi.org/10.1016/j.cma.2003.08.008">10.1016/j.cma.2003.08.008</a></li> <li>Lew, A. and Marsden, J. E., el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100824-071747459">Variational time integrators</a>; International Journal for Numerical Methods in Engineering; Vol. 60; No. 1; 153-212; <a href="https://doi.org/10.1002/nme.958">10.1002/nme.958</a></li> <li>Hayes, Robin L. and Ortiz, Michael, el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-113554693">Universal binding-energy relation for crystals that accounts for surface relaxation</a>; Physical Review B; Vol. 69; No. 17; Art. No. 172104; <a href="https://doi.org/10.1103/PhysRevB.69.172104">10.1103/PhysRevB.69.172104</a></li> <li>Müller, S. and Ortiz, M. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-113838315">On the Γ-convergence of discrete dynamics and variational integrators</a>; Journal of Nonlinear Science; Vol. 14; No. 3; 279-296; <a href="https://doi.org/10.1007/BF02666023">10.1007/BF02666023</a></li> <li>Studer, Vincent and Hang, Giao, el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:STUjap04">Scaling properties of a low-actuation pressure microfluidic valve</a>; Journal of Applied Physics; Vol. 95; No. 1; 393-398; <a href="https://doi.org/10.1063/1.1629781">10.1063/1.1629781</a></li> <li>Lew, Adrian and Neff, Patrizio, el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110823-091200001">Optimal BV estimates for a discontinuous Galerkin method for linear elasticity</a>; Applied Mathematics Research eXpress; Vol. 2004; No. 3; 73-106; <a href="https://doi.org/10.1155/S1687120004020052">10.1155/S1687120004020052</a></li> <li>Lew, Adrian and Marsden, Jerrold E., el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20101005-091206576">An Overview of Variational Integrators</a>; ISBN 9788495999498; Finite Element Methods: 1970's and Beyond; 1-18</li> <li>Aubry, S. and Ortiz, M. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-114743083">The mechanics of deformation-induced subgrain-dislocation structures in metallic crystals at large strains</a>; Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 459; No. 2040; 3131-3158; <a href="https://doi.org/10.1098/rspa.2003.1179">10.1098/rspa.2003.1179</a></li> <li>Klug, W. S. and Ortiz, M. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-115155193">A director-field model of DNA packaging in viral capsids</a>; Journal of the Mechanics and Physics of Solids; Vol. 51; No. 10; 1815-1847; <a href="https://doi.org/10.1016/S0022-5096(03)00071-1">10.1016/S0022-5096(03)00071-1</a></li> <li>Aubry, Sylvie and Fago, Matt, el al. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-114612180">A constrained sequential-lamination algorithm for the simulation of sub-grid microstructure in martensitic materials</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 192; No. 26-27; 2823-2843; <a href="https://doi.org/10.1016/S0045-7825(03)00260-3">10.1016/S0045-7825(03)00260-3</a></li> <li>Cirak, Fehmi and Cisternas, Jaime E., el al. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141119-075159032">Oscillatory Thermomechanical Instability of an Ultrathin Catalyst</a>; Science; Vol. 300; No. 5627; 1932-1936; <a href="https://doi.org/10.1126/science.1083909">10.1126/science.1083909</a></li> <li>Knap, J. and Ortiz, M. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-115314976">Effect of Indenter-Radius Size on Au(001) Nanoindentation</a>; Physical Review Letters; Vol. 90; No. 22; Art. No. 226102; <a href="https://doi.org/10.1103/PhysRevLett.90.226102">10.1103/PhysRevLett.90.226102</a></li> <li>Mota, A. and Klug, W. S., el al. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-115541004">Finite-element simulation of firearm injury to the human cranium</a>; Computational Mechanics; Vol. 31; No. 1-2; 115-121; <a href="https://doi.org/10.1007/s00466-002-0398-8">10.1007/s00466-002-0398-8</a></li> <li>Lew, A. and Marsden, J. E., el al. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100823-112128812">Asynchronous Variational Integrators</a>; Archive for Rational Mechanics and Analysis; Vol. 167; No. 2; 85-146; <a href="https://doi.org/10.1007/s00205-002-0212-y">10.1007/s00205-002-0212-y</a></li> <li>Stainier, L. and Cuitiño, A. M., el al. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-115759473">Multiscale modelling of hardening in BCC crystal plasticity</a>; Journal de Physique IV (Proceedings); Vol. 105; 157-164; <a href="https://doi.org/10.1051/jp4:20030183">10.1051/jp4:20030183</a></li> <li>Thoutireddy, Pururav and Ortiz, Michael (2003) <a href="https://resolver.caltech.edu/CaltechCACR:CACR-2003-205">Material forces in Computational Mechanics: Variational ALE Method</a></li> <li>Thoutireddy, P. and Ortiz, M. (2003) <a href="https://resolver.caltech.edu/CaltechCACR:CACR-2003-206">A Variational r-Adaption and Shape-Optimization Method for Finite-Deformation Elasticity</a></li> <li>Aubry, S. and Ortiz, M. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190826-124740658">Variational Methods in Non-Convex Plasticity</a>; ISBN 9789048162390; IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains; 55-66; <a href="https://doi.org/10.1007/978-94-017-0297-3_5">10.1007/978-94-017-0297-3_5</a></li> <li>Yu, C. and Ortiz, M., el al. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171129-164945762">3D Modelling of Impact Failure in Sandwich Structures</a>; European Structural Integrity Society; Vol. 32; 527-537; <a href="https://doi.org/10.1016/S1566-1369(03)80122-X">10.1016/S1566-1369(03)80122-X</a></li> <li>Aubry, S. and Ortiz, M. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230210-225845734">The mechanics of deformation-induced subgrain dislocation structures in metallic crystals at large strains</a></li> <li>Fetecau, R. C. and Marsden, J. E., el al. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:FETsiamjads03">Nonsmooth Lagrangian mechanics and variational collision integrators</a>; SIAM Journal on Applied Dynamical Systems; Vol. 2; No. 3; 381-416; <a href="https://doi.org/10.1137/S1111111102406038">10.1137/S1111111102406038</a></li> <li>Koslowski, M. and Cuitiño, A. M., el al. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171208-164131036">A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals</a>; Journal of the Mechanics and Physics of Solids; Vol. 50; No. 12; 2597-2635; <a href="https://doi.org/10.1016/S0022-5096(02)00037-6">10.1016/S0022-5096(02)00037-6</a></li> <li>Yu, C. and Pandolfi, A., el al. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171208-154753672">Three-dimensional modeling of intersonic shear-crack growth in asymmetrically loaded unidirectional composite plates</a>; International Journal of Solids and Structures; Vol. 39; No. 25; 6135-6157; <a href="https://doi.org/10.1016/S0020-7683(02)00466-3">10.1016/S0020-7683(02)00466-3</a></li> <li>Nguyen, O. and Ortiz, M. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171208-163351204">Coarse-graining and renormalization of atomistic binding relations and universal macroscopic cohesive behavior</a>; Journal of the Mechanics and Physics of Solids; Vol. 50; No. 8; 1727-1741; <a href="https://doi.org/10.1016/S0022-5096(01)00133-8">10.1016/S0022-5096(01)00133-8</a></li> <li>Pandolfi, A. and Ortiz, M. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171208-163116282">An Efficient Adaptive Procedure for Three-Dimensional Fragmentation Simulations</a>; Engineering with Computers; Vol. 18; No. 2; 148-159; <a href="https://doi.org/10.1007/s003660200013">10.1007/s003660200013</a></li> <li>Stainier, L. and Cuitiño, A. M., el al. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171208-155120960">A micromechanical model of hardening, rate sensitivity and thermal softening in BCC single crystals</a>; Journal of the Mechanics and Physics of Solids; Vol. 50; No. 7; 1511-1545; <a href="https://doi.org/10.1016/S0022-5096(01)00114-4">10.1016/S0022-5096(01)00114-4</a></li> <li>Gioia, G. and DeSimone, A., el al. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-144028971">Folding energetics in thin-film diaphragms</a>; Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 458; No. 2021; 1223-1229; <a href="https://doi.org/10.1098/rspa.2001.0921">10.1098/rspa.2001.0921</a></li> <li>Molinari, J. F. and Ortiz, M. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171208-163608575">A study of solid-particle erosion of metallic targets</a>; International Journal of Impact Engineering; Vol. 27; No. 4; 347-358; <a href="https://doi.org/10.1016/S0734-743X(01)00055-0">10.1016/S0734-743X(01)00055-0</a></li> <li>Pandolfi, A. and Kane, C., el al. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100913-101405977">Time-discretized variational formulation of non-smooth frictional contact</a>; International Journal for Numerical Methods in Engineering; Vol. 53; No. 8; 1801-1829; <a href="https://doi.org/10.1002/nme.361">10.1002/nme.361</a></li> <li>Molinari, J. F. and Ortiz, M. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-141604699">Three-dimensional adaptive meshing by subdivision and edge-collapse in finite-deformation dynamic-plasticity problems with application to adiabatic shear banding</a>; International Journal for Numerical Methods in Engineering; Vol. 53; No. 5; 1101-1126; <a href="https://doi.org/10.1002/nme.325">10.1002/nme.325</a></li> <li>Cirak, Fehmi and Scott, Michael J., el al. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171208-164357957">Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision</a>; Computer-Aided Design; Vol. 34; No. 2; 137-148; <a href="https://doi.org/10.1016/S0010-4485(01)00061-6">10.1016/S0010-4485(01)00061-6</a></li> <li>Rosakis, A. J. and Yu, C., el al. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200219-114918280">Experimental and Numerical Investigation of Shear-dominated Intersonic Crack Growth and Friction in Unidirectional Composites</a>; ISBN 978-1-4020-0683-8; Recent Advances in Experimental Mechanics: In Honor of Isaac M. Daniel; 275-288; <a href="https://doi.org/10.1007/0-306-48410-2_27">10.1007/0-306-48410-2_27</a></li> <li>Koslowski, M. and Cuitiño, A. M., el al. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230210-232639057">A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals</a></li> <li>Ortiz, M. and Radovitzky, R. A., el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-144521153">The computation of the exponential and logarithmic mappings and their first and second linearizations</a>; International Journal for Numerical Methods in Engineering; Vol. 52; No. 12; 1431-1441; <a href="https://doi.org/10.1002/nme.263">10.1002/nme.263</a></li> <li>Ruiz, Gonzalo and Pandolfi, Anna, el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-144716463">Three‐dimensional cohesive modeling of dynamic mixed‐mode fracture</a>; International Journal for Numerical Methods in Engineering; Vol. 52; No. 1-2; 97-120; <a href="https://doi.org/10.1002/nme.273">10.1002/nme.273</a></li> <li>Yadav, S. and Repetto, E. A., el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150227-143957613">A computational study of the influence of thermal softening on ballistic penetration in metals</a>; International Journal of Impact Engineering; Vol. 25; No. 8; 787-803; <a href="https://doi.org/10.1016/S0734-743X(01)00008-2">10.1016/S0734-743X(01)00008-2</a></li> <li>Knapp, J. and Ortiz, M. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171212-152307212">An analysis of the quasicontinuum method</a>; Journal of the Mechanics and Physics of Solids; Vol. 49; No. 9; 1899-1923; <a href="https://doi.org/10.1016/S0022-5096(01)00034-5">10.1016/S0022-5096(01)00034-5</a></li> <li>Nguyen, O. and Repetto, E. A., el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171212-143333386">A Cohesive model of fatigue crack growth</a>; International Journal of Fracture; Vol. 110; No. 4; 351-369; <a href="https://doi.org/10.1023/A:1010839522926">10.1023/A:1010839522926</a></li> <li>Cirak, Fehmi and Ortiz, Michael (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171212-153633409">Fully C^1‐conforming subdivision elements for finite deformation thin‐shell analysis</a>; International Journal for Numerical Methods in Engineering; Vol. 51; No. 7; 813-833; <a href="https://doi.org/10.1002/nme.182">10.1002/nme.182</a></li> <li>Pandolfi, A. and Ortiz, M. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230210-225443504">An Efficient Adaptive Procedure for Three-Dimensional Fragmentation Simulations</a></li> <li>Lewis, A. C. and Radovitzky, R., el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171212-143743641">An artificial viscosity method for the Lagrangian analysis of shocks in solids with strength on unstructured, arbitrary order tetrahedral meshes</a>; Journal of Computer-Aided Materials Design; Vol. 8; No. 2/3; 213-231; <a href="https://doi.org/10.1023/A:1020064403005">10.1023/A:1020064403005</a></li> <li>Cuitiño, Alberto M. and Stainier, Laurent, el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171212-152625957">A multiscale approach for modeling crystalline solids</a>; Journal of Computer-Aided Materials Design; Vol. 8; No. 2/3; 127-149; <a href="https://doi.org/10.1023/A:1020012431230">10.1023/A:1020012431230</a></li> <li>Krysl, Petr and Ortiz, Michael (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170408-162713466">Variational Delaunay approach to the generation of tetrahedral finite element meshes</a>; International Journal for Numerical Methods in Engineering; Vol. 50; No. 7; 1681-1700; <a href="https://doi.org/10.1002/nme.91">10.1002/nme.91</a></li> <li>Krysl, Petr and Ortiz, Michael (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171212-151905365">Extraction of boundary representation from surface triangulations</a>; International Journal for Numerical Methods in Engineering; Vol. 50; No. 7; 1737-1758; <a href="https://doi.org/10.1002/nme.94">10.1002/nme.94</a></li> <li>Ortiz, M. and Cuitiño, A. M., el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171212-142856626">Mixed Atomistic–Continuum Models of Material Behavior: The Art of Transcending Atomistics and Informing Continua</a>; MRS Bulletin; Vol. 26; No. 03; 216-221; <a href="https://doi.org/10.1557/mrs2001.45">10.1557/mrs2001.45</a></li> <li>Thoutireddy, P. and Molinari, J. F., el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171128-142213688">Tetrahedral composite finite elements</a>; International Journal for Numerical Methods in Engineering; Vol. 53; No. 6; 1337-1351; <a href="https://doi.org/10.1002/nme.337">10.1002/nme.337</a></li> <li>Ortiz, M. and Cuitiño, A. M., el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230210-231405683">Mixed Atomistic-Continuum Models of Material Behavior: The Art of Transcending Atomistics and Informing Continua</a></li> <li>Molinari, J. F. and Ortiz, M., el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-085800984">Finite‐element modeling of dry sliding wear in metals</a>; Engineering Computations; Vol. 18; No. 3/4; 592-610; <a href="https://doi.org/10.1108/00368790110407257">10.1108/00368790110407257</a></li> <li>Cuitiño, A. M. and Stainier, L., el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230210-354927000.2">A Multiscale Approach for Modeling Crystalline Solids</a></li> <li>Kane, C. and Marsden, J. E., el al. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100819-120143013">Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems</a>; International Journal for Numerical Methods in Engineering; Vol. 49; No. 10; 1295-1325; <a href="https://doi.org/10.1002/1097-0207(20001210)49:10%3C1295::AID-NME993%3E3.0.CO;2-W">10.1002/1097-0207(20001210)49:10<1295::AID-NME993>3.0.CO;2-W</a></li> <li>Ortiz, M. and Repetto, E. A., el al. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-085512032">A theory of subgrain dislocation structures</a>; Journal of the Mechanics and Physics of Solids; Vol. 48; No. 10; 2077-2114; <a href="https://doi.org/10.1016/S0022-5096(99)00104-0">10.1016/S0022-5096(99)00104-0</a></li> <li>West, M. and Kane, C., el al. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100917-084012847">Variational integrators, the Newmark scheme, and dissipative systems</a>; ISBN 9789810243593; Equadiff 99, International Conference on Differential Equations,; 1009-1011</li> <li>Ruiz, Gonzalo and Ortiz, Michael, el al. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171212-154848578">Three-dimensional finite-element simulation of the dynamic Brazilian tests on concrete cylinders</a>; International Journal for Numerical Methods in Engineering; Vol. 48; No. 7; 963-994; <a href="https://doi.org/10.1002/(SICI)1097-0207(20000710)48:7%3C963::AID-NME908%3E3.0.CO;2-X">10.1002/(SICI)1097-0207(20000710)48:7<963::AID-NME908>3.0.CO;2-X</a></li> <li>Radovitzky, R. and Ortiz, M. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-084912550">Tetrahedral mesh generation based on node insertion in crystal lattice arrangements and advancing-front-Delaunay triangulation</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 187; No. 3-4; 543-569; <a href="https://doi.org/10.1016/S0045-7825(99)00339-4">10.1016/S0045-7825(99)00339-4</a></li> <li>Pandolfi, A. and Guduru, P. R., el al. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-085245977">Three dimensional cohesive-element analysis and experiments of dynamic fracture in C300 steel</a>; International Journal of Solids and Structures; Vol. 37; No. 27; 3733-3760; <a href="https://doi.org/10.1016/S0020-7683(99)00155-9">10.1016/S0020-7683(99)00155-9</a></li> <li>Kane, C. and Marsden, J. E., el al. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100819-113606661">Frictional Collisions Off Sharp Objects</a>; ISBN 9789810243593; International Conference on Differential Equations; 979-984</li> <li>Cirak, Fehmi and Ortiz, Michael, el al. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-090454075">Subdivision surfaces: a new paradigm for thin-shell finite-element analysis</a>; International Journal for Numerical Methods in Engineering; Vol. 47; No. 12; 2039-2072; <a href="https://doi.org/10.1002/(SICI)1097-0207(20000430)47:12%3C2039::AID-NME872%3E3.0.CO;2-1">10.1002/(SICI)1097-0207(20000430)47:12<2039::AID-NME872>3.0.CO;2-1</a></li> <li>Aivazis, Michael and Goddard, William A., el al. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180717-150515004">A virtual test facility for simulating the dynamic response of materials</a>; Computing in Science & Engineering; Vol. 2; No. 2; 42-53; <a href="https://doi.org/10.1109/5992.825748">10.1109/5992.825748</a></li> <li>Repetto, E. A. and Radovitzky, R., el al. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171212-155115498">Finite element simulation of dynamic fracture and fragmentation of glass rods</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 183; No. 1-2; 3-14; <a href="https://doi.org/10.1016/S0045-7825(99)00208-X">10.1016/S0045-7825(99)00208-X</a></li> <li>Guo, Yong and Ortiz, Michael, el al. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-090121889">Triangular composite finite elements</a>; International Journal for Numerical Methods in Engineering; Vol. 47; No. 1-3; 287-316; <a href="https://doi.org/10.1002/(SICI)1097-0207(20000110/30)47:1/3%3C287::AID-NME772%3E3.0.CO;2-M">10.1002/(SICI)1097-0207(20000110/30)47:1/3<287::AID-NME772>3.0.CO;2-M</a></li> <li>Tadmor, E. B. and Phillips, R., el al. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171212-153930662">Hierarchical modeling in the mechanics of materials</a>; International Journal of Solids and Structures; Vol. 37; No. 1-2; 379-389; <a href="https://doi.org/10.1016/S0020-7683(99)00095-5">10.1016/S0020-7683(99)00095-5</a></li> <li>Kane, C. and Repetto, E. A., el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100819-144015326">Finite element analysis of nonsmooth contact</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 180; No. 1-2; 1-26; <a href="https://doi.org/10.1016/S0045-7825(99)00034-1">10.1016/S0045-7825(99)00034-1</a></li> <li>Phillips, Rob and Rodney, David, el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:PHImsmse99">Hierarchical models of plasticity: dislocation nucleation and interaction</a>; Modelling and Simulation in Materials Science and Engineering; Vol. 7; No. 5; 769-780; <a href="https://doi.org/10.1088/0965-0393/7/5/309">10.1088/0965-0393/7/5/309</a></li> <li>Kane, C. and Marsden, J. E., el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:KANjmp99">Symplectic-energy-momentum preserving variational integrators</a>; Journal of Mathematical Physics; Vol. 40; No. 7; 3353-3371; <a href="https://doi.org/10.1063/1.532892">10.1063/1.532892</a></li> <li>Shenoy, V. B. and Ortiz, M., el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:SHEmsmse99">The atomistic structure and energy of nascent dislocation loops</a>; Modelling and Simulation in Materials Science and Engineering; Vol. 7; No. 4; 603-619; <a href="https://doi.org/10.1088/0965-0393/7/4/309">10.1088/0965-0393/7/4/309</a></li> <li>Tadmor, E.B. and Miller, R., el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:TADjmr99">Nanoindentation and incipient plasticity</a>; Journal of Materials Research; Vol. 14; No. 6; 2233-2250</li> <li>Ortiz, M. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-094627254">Plastic Yielding as a Phase Transition</a>; Journal of Applied Mechanics; Vol. 66; No. 2; 289; <a href="https://doi.org/10.1115/1.2791048">10.1115/1.2791048</a></li> <li>de-Andrés, A. and Pérez, J. L., el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-094949787">Elastoplastic finite element analysis of three-dimensional fatigue crack growth in aluminum shafts subjected to axial loading</a>; International Journal of Solids and Structures; Vol. 36; No. 15; 2231-2258; <a href="https://doi.org/10.1016/S0020-7683(98)00059-6">10.1016/S0020-7683(98)00059-6</a></li> <li>Radovitzky, R. and Ortiz, M. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-090926881">Error estimation and adaptive meshing in strongly nonlinear dynamic problems</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 172; No. 1-4; 203-240; <a href="https://doi.org/10.1016/S0045-7825(98)00230-8">10.1016/S0045-7825(98)00230-8</a></li> <li>Ortiz, M. and Stainier, L. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-091546263">The variational formulation of viscoplastic constitutive updates</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 171; No. 3-4; 419-444; <a href="https://doi.org/10.1016/S0045-7825(98)00219-9">10.1016/S0045-7825(98)00219-9</a></li> <li>Borcea, Liliana and Ortiz, Michael (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:BORip99">A multiscattering series for impedance tomography in layered media</a>; Inverse Problems; Vol. 15; No. 2; 515-540; <a href="https://doi.org/10.1088/0266-5611/15/2/011">10.1088/0266-5611/15/2/011</a></li> <li>Ortiz, M. and Pandolfi, A. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-094245696">Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis</a>; International Journal for Numerical Methods in Engineering; Vol. 44; No. 9; 1267-1282; <a href="https://doi.org/10.1002/(SICI)1097-0207(19990330)44:9%3C1267::AID-NME486%3E3.0.CO;2-7">10.1002/(SICI)1097-0207(19990330)44:9<1267::AID-NME486>3.0.CO;2-7</a></li> <li>Ortiz, M. and Repetto, E. A., el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-091830314">A continuum model of kinetic roughening and coarsening in thin films</a>; Journal of the Mechanics and Physics of Solids; Vol. 47; No. 4; 697-730; <a href="https://doi.org/10.1016/S0022-5096(98)00102-1">10.1016/S0022-5096(98)00102-1</a></li> <li>Ortiz, M. and Repetto, E. A. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-092048666">Nonconvex energy minimization and dislocation structures in ductile single crystals</a>; Journal of the Mechanics and Physics of Solids; Vol. 47; No. 2; 397-462; <a href="https://doi.org/10.1016/S0022-5096(97)00096-3">10.1016/S0022-5096(97)00096-3</a></li> <li>Repetto, E. A. and Radovitzky, R., el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-090727121">A Finite Element Study of Electromagnetic Riveting</a>; Journal of Manufacturing Science and Engineering; Vol. 121; No. 1; 61; <a href="https://doi.org/10.1115/1.2830576">10.1115/1.2830576</a></li> <li>Aivazis, Michael and Goddard, Bill, el al. (1999) <a href="https://resolver.caltech.edu/CaltechASCI:1999.033">The 1999 Center for Simulation of Dynamic Response in Materials Annual Technical Report</a></li> <li>Pandolfi, A. and Krysl, P., el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-091247239">Finite element simulation of ring expansion and fragmentation: The capturing of length and time scales through cohesive models of fracture</a>; International Journal of Fracture; Vol. 95; No. 1/4; 279-297; <a href="https://doi.org/10.1023/A:1018672922734">10.1023/A:1018672922734</a></li> <li>Ortiz, M. and Repetto, E. A., el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230210-133510000.1">A theory of subgrain dislocation structures</a></li> <li>Gioia, G. and Ortiz, M. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-100854187">Determination of thin-film debonding parameters from telephone-cord measurements</a>; Acta Materialia; Vol. 46; No. 1; 169-175; <a href="https://doi.org/10.1016/S1359-6454(97)00211-5">10.1016/S1359-6454(97)00211-5</a></li> <li>Pandolfi, A. and Ortiz, M. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-100012816">Solid modeling aspects of three-dimensional fragmentation</a>; Engineering with Computers; Vol. 14; No. 4; 287-308; <a href="https://doi.org/10.1007/BF01201761">10.1007/BF01201761</a></li> <li>Radovitzky, R. and Ortiz, M. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-095800584">Lagrangian finite element analysis of Newtonian fluid flows</a>; International Journal for Numerical Methods in Engineering; Vol. 43; No. 4; 607-619; <a href="https://doi.org/10.1002/(SICI)1097-0207(19981030)43:4%3C607::AID-NME399%3E3.0.CO;2-N">10.1002/(SICI)1097-0207(19981030)43:4<607::AID-NME399>3.0.CO;2-N</a></li> <li>Xu, G. and Bower, A. F., el al. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-095546620">The influence of crack trapping on the toughness of fiber reinforced composites</a>; Journal of the Mechanics and Physics of Solids; Vol. 46; No. 10; 1815-1833; <a href="https://doi.org/10.1016/S0022-5096(98)00059-3">10.1016/S0022-5096(98)00059-3</a></li> <li>Miller, Ron and Phillips, Rob, el al. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-100338338">A non-local formulation of the Peierls dislocation model</a>; Journal of the Mechanics and Physics of Solids; Vol. 46; No. 10; 1845-1867; <a href="https://doi.org/10.1016/S0022-5096(98)00057-X">10.1016/S0022-5096(98)00057-X</a></li> <li>Bhattacharya, K. and Ortiz, M., el al. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20131007-083528747">Energy-based model of compressive splitting in heterogeneous brittle solids</a>; Journal of the Mechanics and Physics of Solids; Vol. 46; No. 10; 2171-2181; <a href="https://doi.org/10.1016/S0022-5096(98)00026-X">10.1016/S0022-5096(98)00026-X</a></li> <li>Miller, R. and Tadmor, E. B., el al. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:MILmsmse98">Quasicontinuum simulation of fracture at the atomic scale</a>; Modelling and Simulation in Materials Science and Engineering; Vol. 6; No. 5; 607-638; <a href="https://doi.org/10.1088/0965-0393/6/5/008">10.1088/0965-0393/6/5/008</a></li> <li>Miller, R. and Ortiz, M., el al. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-100643529">Quasicontinuum models of fracture and plasticity</a>; Engineering Fracture Mechanics; Vol. 61; No. 3-4; 427-444; <a href="https://doi.org/10.1016/S0013-7944(98)00047-2">10.1016/S0013-7944(98)00047-2</a></li> <li>Chen, J. Y. and Huang, Y., el al. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-101038312">Fracture analysis of cellular materials: A strain gradient model</a>; Journal of the Mechanics and Physics of Solids; Vol. 46; No. 5; 789-828; <a href="https://doi.org/10.1016/S0022-5096(98)00006-4">10.1016/S0022-5096(98)00006-4</a></li> <li>Shenoy, V. B. and Miller, R., el al. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:SHEprl98">Quasicontinuum Models of Interfacial Structure and Deformation</a>; Physical Review Letters; Vol. 08; No. 4; 742-745; <a href="https://doi.org/10.1103/PhysRevLett.80.742">10.1103/PhysRevLett.80.742</a></li> <li>Goddard, W. A. and Meiron, D. I., el al. (1998) <a href="https://resolver.caltech.edu/CaltechASCI:1998.032">The 1998 Center for Simulation of Dynamic Response in Materials Annual Technical Report</a></li> <li>Ortiz, Michael and Phillips, Rob (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-092247784">Nanomechanics of Defects in Solids</a>; ISBN 978-0-12-002036-2; Advances in Applied Mechanics; 1-79; <a href="https://doi.org/10.1016/S0065-2156(08)70184-4">10.1016/S0065-2156(08)70184-4</a></li> <li>Bigoni, D. and Ortiz, M., el al. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-102809023">Effect of interfacial compliance on bifurcation of a layer bonded to a substrate</a>; International Journal of Solids and Structures; Vol. 34; No. 33-34; 4305-4326; <a href="https://doi.org/10.1016/S0020-7683(97)00025-5">10.1016/S0020-7683(97)00025-5</a></li> <li>Walter, M. E. and Ravichandran, G., el al. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150226-105909974">Computational modeling of damage evolution in unidirectional fiber reinforced ceramic matrix composites</a>; Computational Mechanics; Vol. 20; No. 1-2; 192-198; <a href="https://doi.org/10.1007/s004660050239">10.1007/s004660050239</a></li> <li>Repetto, E. A. and Ortiz, M. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-101558135">A micromechanical model of cyclic deformation and fatigue-crack nucleation in f.c.c. single crystals</a>; Acta Materialia; Vol. 45; No. 6; 2577-2595; <a href="https://doi.org/10.1016/S1359-6454(96)00368-0">10.1016/S1359-6454(96)00368-0</a></li> <li>Camacho, G. T. and Ortiz, M. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-102621794">Adaptive Lagrangian modelling of ballistic penetration of metallic targets</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 142; No. 3-4; 269-301; <a href="https://doi.org/10.1016/S0045-7825(96)01134-6">10.1016/S0045-7825(96)01134-6</a></li> <li>Xu, G. and Argon, A. S., el al. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-101246565">Critical configurations for dislocation nucleation from crack tips</a>; Philosophical Magazine A; Vol. 75; No. 2; 341-367; <a href="https://doi.org/10.1080/01418619708205146">10.1080/01418619708205146</a></li> <li>Gioia, G. and Ortiz, M. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201023-182805542">Two-Dimensional Structure of Dynamic Boundary Layers and Shear Bands in Thermoviscoplastic Solids</a>; ISBN 9789401063791; IUTAM Symposium on Nonlinear Analysis of Fracture; 151-162; <a href="https://doi.org/10.1007/978-94-011-5642-4_15">10.1007/978-94-011-5642-4_15</a></li> <li>Gioia, Gustavo and Ortiz, Michael (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-102407537">Delamination of Compressed Thin Films</a>; ISBN 978-0-12-002033-1; Advances in Applied Mechanics; 119-192; <a href="https://doi.org/10.1016/S0065-2156(08)70386-7">10.1016/S0065-2156(08)70386-7</a></li> <li>Tadmor, E. B. and Phillips, Rob, el al. (1996) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160607-114810939">Mixed Atomistic and Continuum Models of Deformation in Solids</a>; Langmuir; Vol. 12; No. 19; 4529-4534; <a href="https://doi.org/10.1021/la9508912">10.1021/la9508912</a></li> <li>Ortiz, M. (1996) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-151030227">Computational micromechanics</a>; Computational Mechanics; Vol. 18; No. 5; 321-338; <a href="https://doi.org/10.1007/BF00376129">10.1007/BF00376129</a></li> <li>Camacho, G. T. and Ortiz, M. (1996) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-154113812">Computational modelling of impact damage in brittle materials</a>; International Journal of Solids and Structures; Vol. 33; No. 20-22; 2899-2938; <a href="https://doi.org/10.1016/0020-7683(95)00255-3">10.1016/0020-7683(95)00255-3</a></li> <li>Ortiz, Miguel (1996) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-151512573">Juan Carlos Simo, 1952–1994</a>; International Journal of Solids and Structures; Vol. 33; No. 20-22; 2859-2861; <a href="https://doi.org/10.1016/S0020-7683(96)90054-2">10.1016/S0020-7683(96)90054-2</a></li> <li>Cuitiño, A. M. and Ortiz, M. (1996) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-152404106">Three-dimensional crack-tip fields in four-point-bending copper single-crystal specimens</a>; Journal of the Mechanics and Physics of Solids; Vol. 44; No. 6; 863-904; <a href="https://doi.org/10.1016/0022-5096(96)00016-6">10.1016/0022-5096(96)00016-6</a></li> <li>Tadmor, E. B. and Ortiz, M., el al. (1996) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-150724557">Quasicontinuum analysis of defects in solids</a>; Philosophical Magazine A; Vol. 73; No. 6; 1529-1563; <a href="https://doi.org/10.1080/01418619608243000">10.1080/01418619608243000</a></li> <li>Cuitiño, A. M. and Ortiz, M. (1996) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-152606701">Ductile fracture by vacancy condensation in f.c.c. single crystals</a>; Acta Materialia; Vol. 44; No. 2; 427-436; <a href="https://doi.org/10.1016/1359-6454(95)00220-0">10.1016/1359-6454(95)00220-0</a></li> <li>Gioia, G. and Ortiz, M. (1996) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-152056464">The Two-Dimensional Structure of Dynamic Boundary Layers and Shear Bands in Thermoviscoplastic Solids</a>; Journal of the Mechanics and Physics of Solids; Vol. 44; No. 2; 251-292; <a href="https://doi.org/10.1016/0022-5096(95)00071-2">10.1016/0022-5096(95)00071-2</a></li> <li>Marusich, T. D. and Ortiz, M. (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-155828724">Modelling and simulation of high-speed machining</a>; International Journal for Numerical Methods in Engineering; Vol. 38; No. 21; 3675-3694; <a href="https://doi.org/10.1002/nme.1620382108">10.1002/nme.1620382108</a></li> <li>Xu, G. and Argon, A. S., el al. (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-155429973">Nucleation of dislocations from crack tips under mixed modes of loading: Implications for brittle against ductile behaviour of crystals</a>; Philosophical Magazine A; Vol. 72; No. 2; 415-451; <a href="https://doi.org/10.1080/01418619508239933">10.1080/01418619508239933</a></li> <li>Xu, G. and Ortiz, M. (1993) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-160315284">A variational boundary integral method for the analysis of 3-D cracks of arbitrary geometry modelled as continuous distributions of dislocation loops</a>; International Journal for Numerical Methods in Engineering; Vol. 36; No. 21; 3675-3701; <a href="https://doi.org/10.1002/nme.1620362107">10.1002/nme.1620362107</a></li> <li>Gallego, Rafael and Ortiz, Michael (1993) <a href="https://resolver.caltech.edu/CaltechAUTHORS:GALmsmse93">A harmonic/anharmonic energy partition method for lattice statics computations</a>; Modelling and Simulation in Materials Science and Engineering; Vol. 1; No. 4; 417-436; <a href="https://doi.org/10.1088/0965-0393/1/4/006">10.1088/0965-0393/1/4/006</a></li> <li>Bower, A. F. and Ortiz, M. (1993) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-161606680">The Influence of Grain Size on the Toughness of Monolithic Ceramics</a>; Journal of Engineering Materials and Technology; Vol. 115; No. 3; 228-236; <a href="https://doi.org/10.1115/1.2904212">10.1115/1.2904212</a></li> <li>Cuitiño, A. M. and Ortiz, M. (1993) <a href="https://resolver.caltech.edu/CaltechAUTHORS:CUImsmse93">Computational modelling of single crystals</a>; Modelling and Simulation in Materials Science and Engineering; Vol. 1; No. 3; 225-263; <a href="https://doi.org/10.1088/0965-0393/1/3/001">10.1088/0965-0393/1/3/001</a></li> <li>Ortiz, M. and Suresh, S. (1993) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-160735981">Statistical Properties of Residual Stresses and Intergranular Fracture in Ceramic Materials</a>; Journal of Applied Mechanics; Vol. 60; No. 1; 77-84; <a href="https://doi.org/10.1115/1.2900782">10.1115/1.2900782</a></li> <li>Bower, A. F. and Ortiz, M. (1993) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-161223831">An Analysis of Crack Trapping by Residual Stresses in Brittle Solids</a>; Journal of Applied Mechanics; Vol. 60; No. 1; 175-182; <a href="https://doi.org/10.1115/1.2900742">10.1115/1.2900742</a></li> <li>Espinosa, H. D. and Raiser, G., el al. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-164520270">Performance of the star‐shaped flyer in the study of brittle materials: Three dimensional computer simulations and experimental observations</a>; Journal of Applied Physics; Vol. 72; No. 8; 3451-3457; <a href="https://doi.org/10.1063/1.351419">10.1063/1.351419</a></li> <li>Mohan, R. and Ortiz, M., el al. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-164302776">Mode mixity effects on crack tip deformation in ductile single crystals</a>; Acta Metallurgica et Materialia; Vol. 40; No. 8; 1907-1922; <a href="https://doi.org/10.1016/0956-7151(92)90177-G">10.1016/0956-7151(92)90177-G</a></li> <li>Mohan, R. and Ortiz, M., el al. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-163502078">Influence of Cracking Direction on Interfacial Fracture in Bicrystals With Symmetric Tilt Boundary</a>; Journal of Applied Mechanics; Vol. 59; No. 1; 84-91; <a href="https://doi.org/10.1115/1.2899469">10.1115/1.2899469</a></li> <li>Ortiz, M. and Molinari, A. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-163302163">Effect of Strain Hardening and Rate Sensitivity on the Dynamic Growth of a Void in a Plastic Material</a>; Journal of Applied Mechanics; Vol. 59; No. 1; 48-53; <a href="https://doi.org/10.1115/1.2899463">10.1115/1.2899463</a></li> <li>Mohan, R. and Ortiz, M., el al. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-164121235">An analysis of cracks in ductile single crystals—II. Mode I loading</a>; Journal of the Mechanics and Physics of Solids; Vol. 40; No. 2; 315-337; <a href="https://doi.org/10.1016/S0022-5096(05)80015-8">10.1016/S0022-5096(05)80015-8</a></li> <li>Mohan, R. and Ortiz, M., el al. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-163842621">An analysis of cracks in ductile single crystals—I. Anti-plane shear</a>; Journal of the Mechanics and Physics of Solids; Vol. 40; No. 2; 291-313; <a href="https://doi.org/10.1016/S0022-5096(05)80014-6">10.1016/S0022-5096(05)80014-6</a></li> <li>Suo, Z. and Ortiz, M., el al. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171213-162919805">Stability of solids with interfaces</a>; Journal of the Mechanics and Physics of Solids; Vol. 40; No. 3; 613-640; <a href="https://doi.org/10.1016/0022-5096(92)80006-C">10.1016/0022-5096(92)80006-C</a></li> <li>Cuitiño, A. M. and Ortiz, M. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180102-160938210">A material‐independent method for extending stress update algorithms from small-strain plasticity to finite plasticity with multiplicative kinematics</a>; Engineering Computations; Vol. 9; No. 4; 437-451; <a href="https://doi.org/10.1108/eb023876">10.1108/eb023876</a></li> <li>Ortiz, M. (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180102-162412775">Discussion on 'A consistency analysis of a class of concurrent transient implicit/explicit algorithms', by C. Farhat and N. Sobh</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 92; No. 3; 397-398; <a href="https://doi.org/10.1016/0045-7825(91)90024-Z">10.1016/0045-7825(91)90024-Z</a></li> <li>Ortiz, M. and Quigley, J. J., IV (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180102-162039472">Adaptive mesh refinement in strain localization problems</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 90; No. 1-3; 781-804; <a href="https://doi.org/10.1016/0045-7825(91)90184-8">10.1016/0045-7825(91)90184-8</a></li> <li>Bower, A. F. and Ortiz, M. (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180102-162806476">A three-dimensional analysis of crack trapping and bridging by tough particles</a>; Journal of the Mechanics and Physics of Solids; Vol. 39; No. 6; 815-858; <a href="https://doi.org/10.1016/0022-5096(91)90026-K">10.1016/0022-5096(91)90026-K</a></li> <li>Needleman, A. and Ortiz, M. (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180102-162606388">Effect of boundaries and interfaces on shear-band localization</a>; International Journal of Solids and Structures; Vol. 28; No. 7; 859-877; <a href="https://doi.org/10.1016/0020-7683(91)90005-Z">10.1016/0020-7683(91)90005-Z</a></li> <li>Raiser, G. and Clifton, R. J., el al. (1990) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180103-134318947">A soft-recovery plate impact experiment for studying microcracking in ceramics</a>; Mechanics of Materials; Vol. 10; No. 1-2; 43-58; <a href="https://doi.org/10.1016/0167-6636(90)90016-9">10.1016/0167-6636(90)90016-9</a></li> <li>Ortiz, M. and Giannakopoulos, A. E. (1990) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180110-093214865">Crack propagation in monolithic ceramics under mixed mode loading</a>; International Journal of Fracture; Vol. 44; No. 4; 233-258; <a href="https://doi.org/10.1007/BF00036167">10.1007/BF00036167</a></li> <li>Moran, B. and Ortiz, M., el al. (1990) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-142558434">Formulation of implicit finite element methods for multiplicative finite deformation plasticity</a>; International Journal for Numerical Methods in Engineering; Vol. 29; No. 3; 483-514; <a href="https://doi.org/10.1002/nme.1620290304">10.1002/nme.1620290304</a></li> <li>Leroy, Y. and Ortiz, M. (1990) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-142923188">Finite element analysis of transient strain localization phenomena in frictional solids</a>; International Journal for Numerical and Analytical Methods in Geomechanics; Vol. 14; No. 2; 93-124; <a href="https://doi.org/10.1002/nag.1610140203">10.1002/nag.1610140203</a></li> <li>Ortiz, Michael and Blume, Janet A. (1990) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-142347004">Effect of decohesion and sliding on bimaterial crack-tip fields</a>; International Journal of Fracture; Vol. 42; No. 2; 117-128; <a href="https://doi.org/10.1007/BF00018381">10.1007/BF00018381</a></li> <li>Ortiz, M. and Giannakopoulos, A. E. (1990) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180103-140631024">Mixed mode crack-tip fields in monolithic ceramics</a>; International Journal of Solids and Structures; Vol. 26; No. 7; 705-723; <a href="https://doi.org/10.1016/0020-7683(90)90002-D">10.1016/0020-7683(90)90002-D</a></li> <li>Bower, A. F. and Ortiz, M. (1990) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-143112109">Solution of three-dimensional crack problems by a finite perturbation method</a>; Journal of the Mechanics and Physics of Solids; Vol. 38; No. 4; 443-480; <a href="https://doi.org/10.1016/0022-5096(90)90008-R">10.1016/0022-5096(90)90008-R</a></li> <li>Symington, M. and Ortiz, M., el al. (1990) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180103-133602693">A finite element method for determining the angular variation of asymptotic crack tip fields</a>; International Journal of Fracture; Vol. 45; No. 1; 51-64; <a href="https://doi.org/10.1007/BF00012609">10.1007/BF00012609</a></li> <li>Ortiz, M. and Sotelino, E. D., el al. (1989) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-144109186">Efficiency of group implicit concurrent algorithms for transient finite element analysis</a>; International Journal for Numerical Methods in Engineering; Vol. 28; No. 12; 2761-2776; <a href="https://doi.org/10.1002/nme.1620281204">10.1002/nme.1620281204</a></li> <li>Nacar, A. and Needleman, A., el al. (1989) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-144547414">A finite element method for analyzing localization in rate dependent solids at finite strains</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 73; No. 3; 235-258; <a href="https://doi.org/10.1016/0045-7825(89)90067-4">10.1016/0045-7825(89)90067-4</a></li> <li>Ortiz, Michael and Martin, John B. (1989) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-144352841">Symmetry-preserving return mapping algorithms and incrementally extremal paths: A unification of concepts</a>; International Journal for Numerical Methods in Engineering; Vol. 28; No. 8; 1839-1853; <a href="https://doi.org/10.1002/nme.1620280810">10.1002/nme.1620280810</a></li> <li>Leroy, Y. and Ortiz, M. (1989) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-144801759">Finite element analysis of strain localization in frictional materials</a>; International Journal for Numerical and Analytical Methods in Geomechanics; Vol. 13; No. 1; 53-74; <a href="https://doi.org/10.1002/nag.1610130106">10.1002/nag.1610130106</a></li> <li>Leroy, Y. and Ortiz, M. (1989) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180110-100539242">Localization analysis under dynamic loading</a>; ISBN 085498058X; Mechanical properties of Materials at high rates of strain, 1989; 257-265</li> <li>Ortiz, M. and Morris, G. R. (1988) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180110-093224078">C^0 finite element discretization of Kirchhoff's equations of thin plate bending</a>; International Journal for Numerical Methods in Engineering; Vol. 26; No. 7; 1551-1566; <a href="https://doi.org/10.1002/nme.1620260707">10.1002/nme.1620260707</a></li> <li>Ortiz, Michael and Nour-Omid, Bahram, el al. (1988) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-145355217">Accuracy of a class of concurrent algorithms for transient finite element analysis</a>; International Journal for Numerical Methods in Engineering; Vol. 26; No. 2; 379-391; <a href="https://doi.org/10.1002/nme.1620260207">10.1002/nme.1620260207</a></li> <li>Ortiz, M. (1988) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-150149978">Microcrack coalescence and macroscopic crack growth initiation in brittle solids</a>; International Journal of Solids and Structures; Vol. 24; No. 3; 231-250; <a href="https://doi.org/10.1016/0020-7683(88)90031-5">10.1016/0020-7683(88)90031-5</a></li> <li>Ortiz, M. and Molinari, A. (1988) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-145941926">Microstructural thermal stresses in ceramic materials</a>; Journal of the Mechanics and Physics of Solids; Vol. 36; No. 4; 385-400; <a href="https://doi.org/10.1016/0022-5096(88)90024-5">10.1016/0022-5096(88)90024-5</a></li> <li>Ortiz, M. (1987) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-151213758">An analytical study of the localized failure modes of concrete</a>; Mechanics of Materials; Vol. 6; No. 2; 159-174; <a href="https://doi.org/10.1016/0167-6636(87)90006-8">10.1016/0167-6636(87)90006-8</a></li> <li>Ortiz, M. (1987) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-150806608">A Continuum Theory of Crack Shielding in Ceramics</a>; Journal of Applied Mechanics; Vol. 54; No. 1; 54-58; <a href="https://doi.org/10.1115/1.3172994">10.1115/1.3172994</a></li> <li>Ortiz, Michael and Leroy, Yves, el al. (1987) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-150608642">A finite element method for localized failure analysis</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 61; No. 2; 189-214; <a href="https://doi.org/10.1016/0045-7825(87)90004-1">10.1016/0045-7825(87)90004-1</a></li> <li>Ortiz, M. (1987) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-151030750">A method of homogenization of elastic media</a>; International Journal of Engineering Science; Vol. 25; No. 7; 923-934; <a href="https://doi.org/10.1016/0020-7225(87)90125-X">10.1016/0020-7225(87)90125-X</a></li> <li>Molinari, A. and Ortiz, M. (1987) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180104-151938716">Global viscoelastic behavior of heterogeneous thermoelastic materials</a>; International Journal of Solids and Structures; Vol. 23; No. 9; 1285-1300; <a href="https://doi.org/10.1016/0020-7683(87)90106-5">10.1016/0020-7683(87)90106-5</a></li> <li>Ortiz, Michael and Nour-Omid, Bahram (1986) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180105-150834527">Unconditionally stable concurrent procedures for transient finite element analysis</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 58; No. 2; 151-174; <a href="https://doi.org/10.1016/0045-7825(86)90094-0">10.1016/0045-7825(86)90094-0</a></li> <li>Ortiz, M. and Simo, J. C. (1986) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180105-150600580">An analysis of a new class of integration algorithms for elastoplastic constitutive relations</a>; International Journal for Numerical Methods in Engineering; Vol. 23; No. 3; 353-366; <a href="https://doi.org/10.1002/nme.1620230303">10.1002/nme.1620230303</a></li> <li>Ortiz, Michael (1986) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180105-151113322">A note on energy conservation and stability of nonlinear time-stepping algorithms</a>; Computers and Structures; Vol. 24; No. 1; 167-168; <a href="https://doi.org/10.1016/0045-7949(86)90346-9">10.1016/0045-7949(86)90346-9</a></li> <li>Ortiz, M. and Popov, E. P. (1985) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180105-151552444">Accuracy and stability of integration algorithms for elastoplastic constitutive relations</a>; International Journal for Numerical Methods in Engineering; Vol. 21; No. 9; 1561-1576; <a href="https://doi.org/10.1002/nme.1620210902">10.1002/nme.1620210902</a></li> <li>Simo, J. C. and Ortiz, M. (1985) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180105-151340644">A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 49; No. 2; 221-245; <a href="https://doi.org/10.1016/0045-7825(85)90061-1">10.1016/0045-7825(85)90061-1</a></li> <li>Ortiz, Michael (1985) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180105-151816056">A constitutive theory for the inelastic behavior of concrete</a>; Mechanics of Materials; Vol. 4; No. 1; 67-93; <a href="https://doi.org/10.1016/0167-6636(85)90007-9">10.1016/0167-6636(85)90007-9</a></li> <li>Ortiz, M. (1985) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180105-152010629">A variational formulation for convection-diffusion problems</a>; International Journal of Engineering Science; Vol. 23; No. 7; 717-731; <a href="https://doi.org/10.1016/0020-7225(85)90004-7">10.1016/0020-7225(85)90004-7</a></li> <li>Pinsky, Peter M. and Ortiz, Miguel, el al. (1983) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180105-152657675">Numerical integration of rate constitutive equations in finite deformation analysis</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 40; No. 2; 137-158; <a href="https://doi.org/10.1016/0045-7825(83)90087-7">10.1016/0045-7825(83)90087-7</a></li> <li>Ortiz, Miguel and Pinsky, Peter M., el al. (1983) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180105-153718420">Operator split methods for the numerical solution of the elastoplastic dynamic problem</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 39; No. 2; 137-157; <a href="https://doi.org/10.1016/0045-7825(83)90018-X">10.1016/0045-7825(83)90018-X</a></li> <li>Ortiz, Miguel and Popov, Egor P. (1983) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180105-153010711">Distortional Hardening Rules for Metal Plasticity</a>; Journal of Engineering Mechanics; Vol. 109; No. 4; 1042-1057; <a href="https://doi.org/10.1061/(ASCE)0733-9399(1983)109:4(1042)">10.1061/(ASCE)0733-9399(1983)109:4(1042)</a></li> <li>Ortiz, Miguel and Pinsky, Peter M., el al. (1983) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180105-153425697">Unconditionally stable element-by-element algorithms for dynamic problems</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 36; No. 2; 223-239</li> <li>Pinsky, Peter M. and Ortiz, Miguel, el al. (1983) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180105-152230031">Operator split methods in the numerical solution of the finite deformation elastoplastic dynamic problem</a>; Computers and Structures; Vol. 17; No. 3; 345-359; <a href="https://doi.org/10.1016/0045-7949(83)90126-8">10.1016/0045-7949(83)90126-8</a></li> <li>Ortiz, M. and Popov, E. P. (1982) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180105-154518480">A Physical Model for the Inelasticity of Concrete</a>; Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 383; No. 1784; 101-125; <a href="https://doi.org/10.1098/rspa.1982.0123">10.1098/rspa.1982.0123</a></li> <li>Ortiz, Miguel and Popov, Egor P. (1982) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180105-153942293">Plain concrete as a composite material</a>; Mechanics of Materials; Vol. 1; No. 2; 139-150; <a href="https://doi.org/10.1016/0167-6636(82)90042-4">10.1016/0167-6636(82)90042-4</a></li> <li>Ortiz, M. and Popov, E. P. (1982) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180105-154320925">A Statistical Theory of Polycrystalline Plasticity</a>; Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 379; No. 1777; 439-458; <a href="https://doi.org/10.1098/rspa.1982.0025">10.1098/rspa.1982.0025</a></li> </ul>