Ortiz, Michael

(orcid 0000-0001-5877-4824)

Article(s) from CaltechAUTHORS

• Gorgogianni, Anna; Karapiperis, Konstantinos et al. (2023) Adaptive goal-oriented data sampling in Data-Driven Computational Mechanics Computer Methods in Applied Mechanics and Engineering; Vol. 409; https://doi.org/10.1016/j.cma.2023.115949

• Ahmad, Rasool; Liu, Mingliang et al. (2023) Computation of effective elastic moduli of rocks using hierarchical homogenization Journal of the Mechanics and Physics of Solids; Vol. 174; https://doi.org/10.1016/j.jmps.2023.105268

• Conti, Sergio; Hoffmann, Franca et al. (2023) Model-Free and Prior-Free Data-Driven Inference in Mechanics Archive for Rational Mechanics and Analysis; Vol. 247; No. 1; https://doi.org/10.1007/s00205-022-01836-7

• Salahshoor, Hossein; Ortiz, Michael (2023) Model-free Data-Driven viscoelasticity in the frequency domain Computer Methods in Applied Mechanics and Engineering; Vol. 403; No. Pt. A; https://doi.org/10.1016/j.cma.2022.115657

• Prume, E.; Reese, S. et al. (2023) Model-free Data-Driven inference in computational mechanics Computer Methods in Applied Mechanics and Engineering; Vol. 403; https://doi.org/10.1016/j.cma.2022.115704

• Salahshoor, Hossein; Yao, Yuxing et al. (2022) Geometric effects in gas vesicle buckling under ultrasound Biophysical Journal; Vol. 121; No. 21; https://doi.org/10.1016/j.bpj.2022.09.004

• Ding, Yu; Yu, Haiyang et al. (2022) Hydrogen-enhanced grain boundary vacancy stockpiling causes transgranular to intergranular fracture transition Acta Materialia; Vol. 239; https://doi.org/10.1016/j.actamat.2022.118279

• Arca, F.; Mendez, J. P. et al. (2022) Strain-tuning of transport gaps and semiconductor-to-conductor phase transition in twinned graphene Acta Materialia; Vol. 234; https://doi.org/10.1016/j.actamat.2022.117987

• Phansalkar, Dhananjay; Weinberg, Kerstin et al. (2022) A spatially adaptive phase-field model of fracture Computer Methods in Applied Mechanics and Engineering; Vol. 395; https://doi.org/10.1016/j.cma.2022.114880

• Courte, Luca; Dondl, Patrick et al. (2022) A Proof of Taylor Scaling for Curvature-Driven Dislocation Motion Through Random Arrays of Obstacles Archive for Rational Mechanics and Analysis; Vol. 244; No. 2; https://doi.org/10.1007/s00205-022-01765-5

• Kovachki, Nikola; Liu, Burigede et al. (2022) Multiscale modeling of materials: Computing, data science, uncertainty and goal-oriented optimization Mechanics of Materials; Vol. 165; https://doi.org/10.1016/j.mechmat.2021.104156

• Salahshoor, Hossein; Guo, Hongsun et al. (2022) Mechanics of ultrasonic neuromodulation in a mouse subject Extreme Mechanics Letters; Vol. 50; https://doi.org/10.1016/j.eml.2021.101539

• Pandolfi, A.; Weinberg, K. et al. (2021) A comparative accuracy and convergence study of eigenerosion and phase-field models of fracture Computer Methods in Applied Mechanics and Engineering; Vol. 386; https://doi.org/10.1016/j.cma.2021.114078

• Karapiperis, K.; Ortiz, M. et al. (2021) Data-Driven nonlocal mechanics: Discovering the internal length scales of materials Computer Methods in Applied Mechanics and Engineering; Vol. 386; https://doi.org/10.1016/j.cma.2021.114039

• Ding, Yu; Yu, Haiyang et al. (2021) Hydrogen-induced transgranular to intergranular fracture transition in bi-crystalline nickel Scripta Materialia; Vol. 204; https://doi.org/10.1016/j.scriptamat.2021.114122

• Carrara, P.; Ortiz, M. et al. (2021) Data-driven rate-dependent fracture mechanics Journal of the Mechanics and Physics of Solids; Vol. 155; https://doi.org/10.1016/j.jmps.2021.104559

• Eggersmann, Robert; Stainier, Laurent et al. (2021) Efficient data structures for model-free data-driven computational mechanics Computer Methods in Applied Mechanics and Engineering; Vol. 382; https://doi.org/10.1016/j.cma.2021.113855

• Liu, Burigede; Sun, Xingsheng et al. (2021) Hierarchical multiscale quantification of material uncertainty Journal of the Mechanics and Physics of Solids; Vol. 153; https://doi.org/10.1016/j.jmps.2021.104492

• Gupta, Prateek; Ortiz, Michael et al. (2021) Nonequilibrium thermomechanics of Gaussian phase packet crystals: Application to the quasistatic quasicontinuum method Journal of the Mechanics and Physics of Solids; Vol. 153; https://doi.org/10.1016/j.jmps.2021.104495

• Platzer, Auriane; Leygue, Adrien et al. (2021) Finite element solver for data-driven finite strain elasticity Computer Methods in Applied Mechanics and Engineering; Vol. 379; https://doi.org/10.1016/j.cma.2021.113756

• Ariza, M. P.; Ortiz, M. (2021) A semi-discrete line-free method of monopoles for dislocation dynamics Extreme Mechanics Letters; Vol. 45; https://doi.org/10.1016/j.eml.2021.101267

• Garcia-Suarez, J.; Asimaki, D. et al. (2021) Applications of the J-integral to dynamical problems in geotechnical engineering Journal of the Mechanics and Physics of Solids; Vol. 150; https://doi.org/10.1016/j.jmps.2021.104353

• Briccola, D.; Cuni, M. et al. (2021) Experimental Validation of the Attenuation Properties in the Sonic Range of Metaconcrete Containing Two Types of Resonant Inclusions Experimental Mechanics; Vol. 61; No. 3; https://doi.org/10.1007/s11340-020-00668-4

• Karapiperis, K.; Stainier, L. et al. (2021) Data-Driven Multiscale Modeling in Mechanics Journal of the Mechanics and Physics of Solids; Vol. 147; https://doi.org/10.1016/j.jmps.2020.104239

• Manav, M.; Ortiz, M. (2021) Molecular dynamics study of the shock response of polyurea Polymer; Vol. 212; https://doi.org/10.1016/j.polymer.2020.123109

• Eggersmann, Robert; Stainier, Laurent et al. (2021) Model-free data-driven computational mechanics enhanced by tensor voting Computer Methods in Applied Mechanics and Engineering; Vol. 373; https://doi.org/10.1016/j.cma.2020.113499

• Febrianto, Eky; Ortiz, Michael et al. (2021) Mollified finite element approximants of arbitrary order and smoothness Computer Methods in Applied Mechanics and Engineering; Vol. 373; https://doi.org/10.1016/j.cma.2020.113513

• Carrara, P.; De Lorenzis, L. et al. (2020) Data-driven fracture mechanics Computer Methods in Applied Mechanics and Engineering; Vol. 372; https://doi.org/10.1016/j.cma.2020.113390

• Arca, F.; Mendez, J. P. et al. (2020) Charge-carrier transmission across twins in graphene Journal of Physics: Condensed Matter; Vol. 32; No. 42; https://doi.org/10.1088/1361-648x/aba0d9

• Salahshoor, Hossein; Shapiro, Mikhail G. et al. (2020) Transcranial Focused Ultrasound Generates Skull-Conducted Shear Waves: Computational Model and Implications for Neuromodulation Applied Physics Letters; Vol. 117; No. 3; https://doi.org/10.1063/5.0011837

• Conti, S.; Müller, S. et al. (2020) Data-Driven Finite Elasticity Archive for Rational Mechanics and Analysis; Vol. 237; No. 1; https://doi.org/10.1007/s00205-020-01490-x

• Schill, W.; Mendez, J. P. et al. (2020) Shear localization as a mesoscopic stress-relaxation mechanism in fused silica glass at high strain rates Journal of the Mechanics and Physics of Solids; Vol. 140; https://doi.org/10.1016/j.jmps.2020.103940

• Weinberg, Kerstin; Ortiz, Michael (2020) Ice Penetration by a Bluff-Body Melting Probe Journal of Applied Mechanics; Vol. 87; No. 6; https://doi.org/10.1115/1.4046633

• Ríos, J. D.; Cifuentes, H. et al. (2020) Effect of polypropylene fibers on the fracture behavior of heated ultra-high performance concrete International Journal of Fracture; Vol. 223; No. 1-2; https://doi.org/10.1007/s10704-019-00407-4

• Wu, Jianyang; He, Jianying et al. (2020) Supergiant elasticity and fracture of 3D spirally wound MoS₂ International Journal of Fracture; Vol. 223; https://doi.org/10.1007/s10704-020-00427-5

• Ponga, Mauricio; Bhattacharya, Kaushik et al. (2020) Large scale ab-initio simulations of dislocations Journal of Computational Physics; Vol. 407; https://doi.org/10.1016/j.jcp.2020.109249

• Schibber, E. F.; Mittelstein, D. R. et al. (2020) A dynamical model of oncotripsy by mechanical cell fatigue: selective cancer cell ablation by low-intensity pulsed ultrasound Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 476; No. 2236; https://doi.org/10.1098/rspa.2019.0692

• Dahlberg, Carl F. O.; Ortiz, Michael (2020) Size Scaling of Plastic Deformation in Simple Shear: Fractional Strain-Gradient Plasticity and Boundary Effects in Conventional Strain-Gradient Plasticity Journal of Applied Mechanics; Vol. 87; No. 3; https://doi.org/10.1115/1.4045872

• Arca, F.; Mendez, J. P. et al. (2020) Spontaneous twinning as an accommodation mechanism in monolayer graphene European Journal of Mechanics - A/Solids; Vol. 80; https://doi.org/10.1016/j.euromechsol.2019.103923

• Sun, X.; Kirchdoerfer, T. et al. (2020) Rigorous Uncertainty Quantification and Design with Uncertain Material Models International Journal of Impact Engineering; Vol. 136; https://doi.org/10.1016/j.ijimpeng.2019.103418

• Conti, S.; Müller, S. et al. (2020) Symmetric Div-Quasiconvexity and the Relaxation of Static Problems Archive for Rational Mechanics and Analysis; Vol. 235; No. 2; https://doi.org/10.1007/s00205-019-01433-1

• Mittelstein, David R.; Ye, Jian et al. (2020) Selective Ablation of Cancer Cells with Low Intensity Pulsed Ultrasound Applied Physics Letters; Vol. 116; No. 1; https://doi.org/10.1063/1.5128627

• Stainier, Laurent; Leygue, Adrien et al. (2019) Model-free data-driven methods in mechanics: material data identification and solvers Computational Mechanics; Vol. 64; No. 2; https://doi.org/10.1007/s00466-019-01731-1

• Arca, Francisco; Mendez, Juan Pedro et al. (2019) Steric Interference in Bilayer Graphene with Point Dislocations Nanomaterials; Vol. 9; No. 7; https://doi.org/10.3390/nano9071012

• Eggersmann, R.; Kirchdoerfer, T et al. (2019) Model-Free Data-Driven inelasticity Computer Methods in Applied Mechanics and Engineering; Vol. 350; https://doi.org/10.1016/j.cma.2019.02.016

• Heyden, S.; Ortiz, M. (2019) Functional optimality of the sulcus pattern of the human brain Mathematical Medicine and Biology; Vol. 36; No. 2; https://doi.org/10.1093/imammb/dqy007

• Wu, Jianyang; Gong, Hao et al. (2019) Topology and polarity of dislocation cores dictate the mechanical strength of monolayer MoS_2 Applied Materials Today; Vol. 15; https://doi.org/10.1016/j.apmt.2018.12.019

• Dahlberg, C. F. O.; Ortiz, M. (2019) Fractional strain-gradient plasticity European Journal of Mechanics - A/Solids; Vol. 75; https://doi.org/10.1016/j.euromechsol.2019.02.006

• Sun, X.; Ariza, M. P. et al. (2019) Atomistic Modeling and Analysis of Hydride Phase Transformation in Palladium Nanoparticles Journal of the Mechanics and Physics of Solids; Vol. 125; https://doi.org/10.1016/j.jmps.2019.01.006

• Kirchdoerfer, Trenton; Ortiz, Michael et al. (2019) Topology Optimization of Solid Rocket Fuel AIAA Journal; Vol. 57; No. 4; https://doi.org/10.2514/1.J057807

• Deffo, A.; Ariza, M. P. et al. (2019) A line-free method of monopoles for 3D dislocation dynamics Journal of the Mechanics and Physics of Solids; Vol. 122; https://doi.org/10.1016/j.jmps.2018.09.001

• Ortiz, Michael; Schmidt, Bernd et al. (2018) A variational approach to Navier-Stokes Nonlinearity; Vol. 31; No. 12; https://doi.org/10.1088/1361-6544/aae722

• Reina, Celia; Fokoua Djodom, Landry et al. (2018) Kinematics of elasto-plasticity: Validity and limits of applicability of F = F^eF^p for general three-dimensional deformations Journal of the Mechanics and Physics of Solids; Vol. 121; https://doi.org/10.1016/j.jmps.2018.07.006

• Heyden, S.; Ortiz, M. (2018) Optimizing information transmission rates drives brain gyrification Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 474; No. 2219; https://doi.org/10.1098/rspa.2018.0527

• Stebner, Aaron P.; Wehrenberg, Christopher et al. (2018) Strength of tantalum shocked at ultrahigh pressures Materials Science and Engineering A; Vol. 732; https://doi.org/10.1016/j.msea.2018.06.105

• Mendez, J. P.; Arca, F. et al. (2018) Charge carrier transport across grain boundaries in graphene Acta Materialia; Vol. 154; https://doi.org/10.1016/j.actamat.2018.05.019

• Conti, S.; Müller, S. et al. (2018) Data-Driven Problems in Elasticity Archive for Rational Mechanics and Analysis; Vol. 229; No. 1; https://doi.org/10.1007/s00205-017-1214-0

• Mendez, J. P.; Ponga, M. et al. (2018) Diffusive molecular dynamics simulations of lithiation of silicon nanopillars Journal of the Mechanics and Physics of Solids; Vol. 115; https://doi.org/10.1016/j.jmps.2018.03.008

• Kirchdoerfer, T.; Liebscher, A. et al. (2018) CTH shock physics simulation of non-linear material effects within an aerospace CFRP fastener assembly due to direct lightning attachment Composite Structures; Vol. 189; https://doi.org/10.1016/j.compstruct.2017.11.061

• Schill, W.; Heyden, S. et al. (2018) The anomalous yield behavior of fused silica glass Journal of the Mechanics and Physics of Solids; Vol. 113; https://doi.org/10.1016/j.jmps.2018.01.004

• Kirchdoerfer, T.; Ortiz, M. (2018) Data-Driven Computing in Dynamics International Journal for Numerical Methods in Engineering; Vol. 113; No. 11; https://doi.org/10.1002/nme.5716

• Sun, Xingsheng; Ariza, Pilar et al. (2018) Long-term atomistic simulation of hydrogen absorption in palladium nanocubes using a diffusive molecular dynamics method International Journal of Hydrogen Energy; Vol. 43; No. 11; https://doi.org/10.1016/j.ijhydene.2018.01.169

• Sun, D.; Ponga, M. et al. (2018) Proliferation of twinning in hexagonal close-packed metals: Application to magnesium Journal of the Mechanics and Physics of Solids; Vol. 112; https://doi.org/10.1016/j.jmps.2017.12.009

• Sun, X.; Ariza, M. P. et al. (2017) Acceleration of diffusive molecular dynamics simulations through mean field approximation and subcycling time integration Journal of Computational Physics; Vol. 350; https://doi.org/10.1016/j.jcp.2017.08.069

• Fedeli, L.; Pandolfi, A. et al. (2017) Geometrically exact time-integration mesh-free schemes for advection-diffusion problems derived from optimal transportation theory and their connection with particle methods International Journal for Numerical Methods in Engineering; Vol. 112; No. 9; https://doi.org/10.1002/nme.5552

• Kirchdoerfer, T.; Ortiz, M. (2017) Data Driven Computing with Noisy Material Data Sets Computer Methods in Applied Mechanics and Engineering; Vol. 326; https://doi.org/10.1016/j.cma.2017.07.039

• Ponga, M.; Ortiz, M. et al. (2017) A comparative study of nanovoid growth in FCC metals Philosophical Magazine; Vol. 97; No. 32; https://doi.org/10.1080/14786435.2017.1364437

• De Bellis, Maria Laura; Della Vecchia, Gabriele et al. (2017) A multiscale model of distributed fracture and permeability in solids in all-round compression Journal of the Mechanics and Physics of Solids; Vol. 104; https://doi.org/10.1016/j.jmps.2017.03.017

• Briccola, Deborah; Ortiz, Michael et al. (2017) Experimental Validation of Metaconcrete Blast Mitigation Properties Journal of Applied Mechanics; Vol. 84; No. 3; https://doi.org/10.1115/1.4035259

• Heyden, S.; Ortiz, M. (2017) Investigation of the influence of viscoelasticity on oncotripsy Computer Methods in Applied Mechanics and Engineering; Vol. 314; https://doi.org/10.1016/j.cma.2016.08.026

• Motamarri, Phani; Gavini, Vikram et al. (2017) Spectrum-splitting approach for Fermi-operator expansion in all-electron Kohn-Sham DFT calculations Physical Review B; Vol. 95; No. 3; https://doi.org/10.1103/PhysRevB.95.035111

• Balzani, D.; Schmidt, T. et al. (2017) Method for the quantification of rupture probability in soft collagenous tissues International Journal for Numerical Methods in Biomedical Engineering; Vol. 33; No. 1; https://doi.org/10.1002/cnm.2781

• De Bellis, M. L.; Della Vecchia, G. et al. (2016) A linearized porous brittle damage material model with distributed frictional-cohesive faults Engineering Geology; Vol. 215; https://doi.org/10.1016/j.enggeo.2016.10.010

• Heyden, S.; Ortiz, M. et al. (2016) All-atom molecular dynamics simulations of multiphase segregated polyurea under quasistatic, adiabatic, uniaxial compression Polymer; Vol. 106; https://doi.org/10.1016/j.polymer.2016.10.053

• Ponga, M.; Bhattacharya, K. et al. (2016) A sublinear-scaling approach to density-functional-theory analysis of crystal defects Journal of the Mechanics and Physics of Solids; Vol. 95; https://doi.org/10.1016/j.jmps.2016.05.029

• Natsiavas, P. P.; Weinberg, K. et al. (2016) Effect of prestress on the stability of electrode–electrolyte interfaces during charging in lithium batteries Journal of the Mechanics and Physics of Solids; Vol. 95; https://doi.org/10.1016/j.jmps.2016.05.007

• Mitchell, Sarah L.; Ortiz, Michael (2016) Computational multiobjective topology optimization of silicon anode structures for lithium-ion batteries Journal of Power Sources; Vol. 326; https://doi.org/10.1016/j.jpowsour.2016.06.136

• Runnels, Brandon; Beyerlein, Irene J. et al. (2016) A relaxation method for the energy and morphology of grain boundaries and interfaces Journal of the Mechanics and Physics of Solids; Vol. 94; https://doi.org/10.1016/j.jmps.2015.11.007

• Wang, Xin-Cindy; Blesgen, Thomas et al. (2016) A Variational Framework for Spectral Approximations of Kohn–Sham Density Functional Theory Archive for Rational Mechanics and Analysis; Vol. 221; No. 2; https://doi.org/10.1007/s00205-016-0978-y

• Ponga, Mauricio; Ramabathiran, Amuthan A. et al. (2016) Dynamic behavior of nano-voids in magnesium under hydrostatic tensile stress Modelling and Simulation in Materials Science and Engineering; Vol. 24; No. 6; https://doi.org/10.1088/0965-0393/24/6/065003

• Heyden, S.; Ortiz, M. (2016) Oncotripsy: Targeting cancer cells selectively via resonant harmonic excitation Journal of the Mechanics and Physics of Solids; Vol. 92; https://doi.org/10.1016/j.jmps.2016.04.016

• Kirchdoerfer, T.; Ortiz, M. (2016) Data-driven computational mechanics Computer Methods in Applied Mechanics and Engineering; Vol. 304; https://doi.org/10.1016/j.cma.2016.02.001

• Gonzalez-Ferreiro, B.; Romero, I. et al. (2016) A numerical method for the time coarsening of transport processes at the atomistic scale Modelling and Simulation in Materials Science and Engineering; Vol. 24; No. 4; https://doi.org/10.1088/0965-0393/24/4/045011

• Runnels, Brandon; Beyerlein, Irene J. et al. (2016) An analytical model of interfacial energy based on a lattice-matching interatomic energy Journal of the Mechanics and Physics of Solids; Vol. 89; https://doi.org/10.1016/j.jmps.2016.01.008

• Mitchell, Stephanie J.; Pandolfi, Anna et al. (2016) Effect of Brittle Fracture in a Metaconcrete Slab under Shock Loading Journal of Engineering Mechanics; Vol. 142; No. 4; https://doi.org/10.1061/(ASCE)EM.1943-7889.0001034

• Conti, Sergio; Ortiz, Michael (2016) Optimal Scaling in Solids Undergoing Ductile Fracture by Crazing Archive for Rational Mechanics and Analysis; Vol. 219; No. 2; https://doi.org/10.1007/s00205-015-0901-y

• Heyden, Stefanie; Nagler, Andreas et al. (2015) Material modeling of cardiac valve tissue: Experiments, constitutive analysis and numerical investigation Journal of Biomechanics; Vol. 48; No. 16; https://doi.org/10.1016/j.jbiomech.2015.10.043

• Mitchell, Stephanie J.; Pandolfi, Anna et al. (2015) Investigation of elastic wave transmission in a metaconcrete slab Mechanics of Materials; Vol. 91; https://doi.org/10.1016/j.mechmat.2015.08.004

• Heyden, S.; Conti, S. et al. (2015) A nonlocal model of fracture by crazing in polymers Mechanics of Materials; Vol. 90; https://doi.org/10.1016/j.mechmat.2015.02.006

• Ponga, M.; Ortiz, M. et al. (2015) Finite-temperature non-equilibrium quasi-continuum analysis of nanovoid growth in copper at low and high strain rates Mechanics of Materials; Vol. 90; https://doi.org/10.1016/j.mechmat.2015.02.007

• Conti, Sergio; Garroni, Adriana et al. (2015) The Line-Tension Approximation as the Dilute Limit of Linear-Elastic Dislocations Archive for Rational Mechanics and Analysis; Vol. 218; No. 2; https://doi.org/10.1007/s00205-015-0869-7

• Martin, C. S.; Ariza, M. P. et al. (2015) Modeling thermal conductivity in silicon nanowires GAMM-Mitteilungen; Vol. 38; No. 2; https://doi.org/10.1002/gamm.201510011

• Klusemann, B.; Ortiz, M. (2015) Acceleration of material-dominated calculations via phase-space simplicial subdivision and interpolation International Journal for Numerical Methods in Engineering; Vol. 103; No. 4; https://doi.org/10.1002/nme.4887

• Baskes, M. I.; Ortiz, M. (2015) Scaling Laws in the Ductile Fracture of Metallic Crystals Journal of Applied Mechanics; Vol. 82; No. 7; https://doi.org/10.1115/1.4030329

• Wang, K. G.; Ortiz, M. et al. (2015) Long-term atomistic simulation of hydrogen diffusion in metals International Journal of Hydrogen Energy; Vol. 40; No. 15; https://doi.org/10.1016/j.ijhydene.2015.01.110

• Heyden, S.; Li, B. et al. (2015) A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity Journal of the Mechanics and Physics of Solids; Vol. 74; https://doi.org/10.1016/j.jmps.2014.08.005

• Li, B.; Pandolfi, A. et al. (2015) Material-point erosion simulation of dynamic fragmentation of metals Mechanics of Materials; Vol. 80; https://doi.org/10.1016/j.mechmat.2014.03.008

• Johnson, G.; Leyendecker, S. et al. (2014) Discontinuous variational time integrators for complex multibody collisions International Journal for Numerical Methods in Engineering; Vol. 100; No. 12; https://doi.org/10.1002/nme.4764

• Venturini, G.; Wang, K. et al. (2014) Atomistic long-term simulation of heat and mass transport Journal of the Mechanics and Physics of Solids; Vol. 73; https://doi.org/10.1016/j.jmps.2014.09.008

• Balzani, Daniel; Schmidt, Thomas et al. (2014) Calculation of Optimal Bounds on the Probability of Failure of Soft Biological Tissues Proceedings in Applied Mathematics and Mechanics; Vol. 14; No. 1; https://doi.org/10.1002/pamm.201410034

• Kamga, P.-H. T.; Li, B. et al. (2014) Optimal uncertainty quantification with model uncertainty and legacy data Journal of the Mechanics and Physics of Solids; Vol. 72; https://doi.org/10.1016/j.jmps.2014.07.007

• Ariza, M. P.; Wang, K. G. et al. (2014) Atomistic Models of Long-Term Hydrogen Diffusion in Metals Advances in Science and Technology; Vol. 93; https://doi.org/10.4028/www.scientific.net/AST.93.118

• Li, B.; Stalzer, M. et al. (2014) A massively parallel implementation of the Optimal Transportation Meshfree method for explicit solid dynamics International Journal for Numerical Methods in Engineering; Vol. 100; No. 1; https://doi.org/10.1002/nme.4710

• Mitchell, Stephanie J.; Pandolfi, Anna et al. (2014) Metaconcrete: designed aggregates to enhance dynamic performance Journal of the Mechanics and Physics of Solids; Vol. 65; https://doi.org/10.1016/j.jmps.2014.01.003

• Fokoua, Landry; Conti, Sergio et al. (2014) Optimal Scaling in Solids Undergoing Ductile Fracture by Void Sheet Formation Archive for Rational Mechanics and Analysis; Vol. 212; No. 1; https://doi.org/10.1007/s00205-013-0687-8

• Hurtado, D. E.; Stainier, L. et al. (2014) The special-linear update: An application of differential manifold theory to the update of isochoric plasticity flow rules International Journal for Numerical Methods in Engineering; Vol. 97; No. 4; https://doi.org/10.1002/nme.4600

• Fokoua, Landry; Conti, Sergio et al. (2014) Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity Journal of the Mechanics and Physics of Solids; Vol. 62; https://doi.org/10.1016/j.jmps.2013.11.002

• Perotti, L. E.; Bompadre, A. et al. (2013) Automatically inf-sup compliant diamond-mixed finite elements for Kirchhoff plates International Journal for Numerical Methods in Engineering; Vol. 96; No. 7; https://doi.org/10.1002/nme.4555

• Pandolfi, A.; Li, B. et al. (2013) Modeling fracture by material-point erosion International Journal of Fracture; Vol. 184; No. 1-2; https://doi.org/10.1007/s10704-012-9788-x

• Sullivan, T. J.; McKerns, M. et al. (2013) Optimal Uncertainty Quantification for Legacy Data Observations of Lipschitz Functions ESAIM-Mathematical Modelling and Numerical Analysis; Vol. 47; No. 6; https://doi.org/10.1051/m2an/2013083

• Español, Malena I.; Kochmann, Dennis M. et al. (2013) A Γ-Convergence Analysis of the Quasicontinuum Method Multiscale Modeling and Simulation; Vol. 11; No. 3; https://doi.org/10.1137/120895354

• Owhadi, H.; Scovel, C. et al. (2013) Optimal Uncertainty Quantification SIAM Review; Vol. 55; No. 2; https://doi.org/10.1137/10080782X

• Reina, Celia; Li, Bo et al. (2013) A micromechanical model of distributed damage due to void growth in general materials and under general deformation histories International Journal for Numerical Methods in Engineering; Vol. 93; No. 6; https://doi.org/10.1002/nme.4397

• Perotti, L. E.; Deiterding, R. et al. (2013) Elastic response of water-filled fiber composite tubes under shock wave loading International Journal of Solids and Structures; Vol. 50; No. 3-4; https://doi.org/10.1016/j.ijsolstr.2012.10.015

• Sullivan, T. J.; Koslowski, M. et al. (2013) Thermalization of rate-independent processes by entropic regularization Discrete and Continuous Dynamical Systems Series S; Vol. 6; No. 1; https://doi.org/10.3934/dcdss.2013.6.215

• Hurtado, Daniel E.; Ortiz, Michael (2013) Finite element analysis of geometrically necessary dislocations in crystal plasticity International Journal for Numerical Methods in Engineering; Vol. 93; No. 1; https://doi.org/10.1002/nme.4376

• Suryanarayana, Phanish; Bhattacharya, Kaushik et al. (2013) Coarse-graining Kohn-Sham Density Functional Theory Journal of the Mechanics and Physics of Solids; Vol. 61; No. 1; https://doi.org/10.1016/j.jmps.2012.09.002

• Suryanarayana, Phanish; Bhattacharya, Kaushik et al. (2013) Coarse-graining Kohn–Sham Density Functional Theory Journal of the Mechanics and Physics of Solids; Vol. 61; No. 1; https://doi.org/10.1016/j.jmps.2012.09.002

• Li, B.; Perotti, L. et al. (2013) Large scale Optimal Transportation Meshfree (OTM) Simulations of Hypervelocity Impact Procedia Engineering; Vol. 58; In: 12th Hypervelocity Impact Symposium, September 16-20, 2012, Baltimore, MD https://doi.org/10.1016/j.proeng.2013.05.036

• Pandolfi, A.; Ortiz, M. (2012) An eigenerosion approach to brittle fracture International Journal for Numerical Methods in Engineering; Vol. 92; No. 8; https://doi.org/10.1002/nme.4352

• Balzani, Daniel; Ortiz, Michael (2012) Relaxed incremental variational formulation for damage at large strains with application to fiber-reinforced materials and materials with truss-like microstructures International Journal for Numerical Methods in Engineering; Vol. 92; No. 6; https://doi.org/10.1002/nme.4351

• Johnson, G.; Ortiz, M. et al. (2012) A linear programming-based algorithm for the signed separation of (non-smooth) convex bodies Computer Methods in Applied Mechanics and Engineering; Vol. 233-236; https://doi.org/10.1016/j.cma.2012.04.006

• Hurtado, Daniel E.; Ortiz, Michael (2012) Surface effects and the size-dependent hardening and strengthening of nickel micropillars Journal of the Mechanics and Physics of Solids; Vol. 60; No. 8; https://doi.org/10.1016/j.jmps.2012.04.009

• Ariza, M. P.; Serrano, R. et al. (2012) Stacking faults and partial dislocations in graphene Philosophical Magazine; Vol. 92; No. 16; https://doi.org/10.1080/14786435.2012.657254

• Bompadre, A.; Schmidt, B. et al. (2012) Convergence Analysis of Meshfree Approximation Schemes SIAM Journal on Numerical Analysis; Vol. 50; No. 3; https://doi.org/10.1137/110828745

• Bompadre, A.; Perotti, L. E. et al. (2012) Convergent meshfree approximation schemes of arbitrary order and smoothness Computer Methods in Applied Mechanics and Engineering; Vol. 221-222; https://doi.org/10.1016/j.cma.2012.01.020

• Kidane, A.; Lashgari, A. et al. (2012) Rigorous model-based uncertainty quantification with application to terminal ballistics, part I: Systems with controllable inputs and small scatter Journal of the Mechanics and Physics of Solids; Vol. 60; No. 5; https://doi.org/10.1016/j.jmps.2011.12.001

• Adams, M.; Lashgari, A. et al. (2012) Rigorous model-based uncertainty quantification with application to terminal ballistics—Part II. Systems with uncontrollable inputs and large scatter Journal of the Mechanics and Physics of Solids; Vol. 60; No. 5; https://doi.org/10.1016/j.jmps.2011.12.002

• Li, B.; Kidane, A. et al. (2012) Verification and validation of the Optimal Transportation Meshfree (OTM) simulation of terminal ballistics International Journal of Impact Engineering; Vol. 42; https://doi.org/10.1016/j.ijimpeng.2011.11.003

• Ariza, M. P.; Tellechea, E. et al. (2012) Double kink mechanisms for discrete dislocations in BCC crystals International Journal of Fracture; Vol. 174; No. 1; https://doi.org/10.1007/s10704-012-9681-7

• Ariza, M. P.; Romero, I. et al. (2012) HotQC simulation of nanovoid growth under tension in copper International Journal of Fracture; Vol. 174; No. 1; https://doi.org/10.1007/s10704-011-9660-4

• Gonzalez, Marcial; Yang, Jinkyu et al. (2012) Mesoscopic approach to granular crystal dynamics Physical Review E; Vol. 85; No. 1; https://doi.org/10.1103/PhysRevE.85.016604

• Venturini, G.; Marian, J. et al. (2012) Thermal Expansion Behavior of AL and TA Using a Finite-Temperature Extension of the Quasicontinuum Method International Journal for Multiscale Computational Engineering; Vol. 10; No. 1; https://resolver.caltech.edu/CaltechAUTHORS:20120517-081016822

• Kochmann, Dennis M.; Amelang, Jeffrey S. et al. (2011) From atomistics to the continuum: a mesh-free quasicontinuum formulation based on local max-ent approximation schemes PAMM; Vol. 11; No. 1; In: 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 18-21 April 2011, Graz, Austria https://doi.org/10.1002/pamm.201110188

• Venturini, G.; Yang, J. Z. et al. (2011) Replica time integrators International Journal for Numerical Methods in Engineering; Vol. 88; No. 6; https://doi.org/10.1002/nme.3202

• Reina, C.; Marian, J. et al. (2011) Nanovoid nucleation by vacancy aggregation and vacancy-cluster coarsening in high-purity metallic single crystals Physical Review B; Vol. 84; No. 10; https://doi.org/10.1103/PhysRevB.84.104117

• Topcu, U.; Lucas, L. J. et al. (2011) Rigorous uncertainty quantification without integral testing Reliability Engineering and System Safety; Vol. 96; No. 9; https://doi.org/10.1016/j.ress.2010.07.013

• Suryanarayana, Phanish; Bhattacharya, Kaushik et al. (2011) A mesh-free convex approximation scheme for Kohn–Sham density functional theory Journal of Computational Physics; Vol. 230; No. 13; https://doi.org/10.1016/j.jcp.2011.03.018

• Rimoli, J. J.; Ortiz, M. (2011) A duality-based method for generating geometric representations of polycrystals International Journal for Numerical Methods in Engineering; Vol. 86; No. 9; https://doi.org/10.1002/nme.3090

• Jung, Pascal; Leyendecker, Sigrid et al. (2011) A discrete mechanics approach to the Cosserat rod theory-Part 1: static equilibria International Journal for Numerical Methods in Engineering; Vol. 85; No. 1; https://doi.org/10.1002/nme.2950

• Ariza, M. P.; Ventura, C. et al. (2011) Modelo de fuerzas interatómicas para el grafeno a partir del potencial AIREBO Revista Internacional de Métodos Numéricos Para Cálculo Y Diseño en Ingeniería; Vol. 27; No. 2; https://resolver.caltech.edu/CaltechAUTHORS:20120113-102143268

• Gonzalez, M.; Schmidt, B. et al. (2010) Force-stepping integrators in Lagrangian mechanics International Journal for Numerical Methods in Engineering; Vol. 84; No. 12; https://doi.org/10.1002/nme.2942

• Hill, D. J.; Pullin, D. et al. (2010) An Eulerian hybrid WENO centered-difference solver for elastic-plastic solids Journal of Computational Physics; Vol. 229; No. 24; https://doi.org/10.1016/j.jcp.2010.08.020

• Leyendecker, S.; Ober-Bloebaum, S. et al. (2010) Discrete mechanics and optimal control for constrained systems Optimal Control Applications and Methods; Vol. 31; No. 6; https://doi.org/10.1002/oca.912

• Ariza, M. P.; Ortiz, M. et al. (2010) Long-term dynamic stability of discrete dislocations in graphene at finite temperature International Journal of Fracture; Vol. 166; No. 1-2; https://doi.org/10.1007/s10704-010-9527-0

• Fraternali, Fernando; Negri, Matteo et al. (2010) On the convergence of 3D free discontinuity models in variational fracture International Journal of Fracture; Vol. 166; No. 1-2; https://doi.org/10.1007/s10704-010-9462-0

• Bjerkén, C.; Ortiz, M. (2010) Evolution of anodic stress corrosion cracking in a coated material International Journal of Fracture; Vol. 165; No. 2; In: 2nd Broberg Memorial Symposium 2009, May 25-26, 2009 , Lund, Sweden https://doi.org/10.1007/s10704-010-9514-5

• Li, B.; Habbal, F. et al. (2010) Optimal transportation meshfree approximation schemes for fluid and plastic flows International Journal for Numerical Methods in Engineering; Vol. 83; No. 12; https://doi.org/10.1002/nme.2869

• Hansen, B. L.; Bronkhorst, C. A. et al. (2010) Dislocation subgrain structures and modeling the plastic hardening of metallic single crystals Modelling and Simulation in Materials Science and Engineering; Vol. 18; No. 5; https://doi.org/10.1088/0965-0393/18/5/055001

• Leyendecker, Sigrid; Lucas, Leonard J. et al. (2010) Optimal Control Strategies for Robust Certification Journal of Computational and Nonlinear Dynamics; Vol. 5; No. 3; https://doi.org/10.1115/1.4001375

• Ariza, M. P.; Ortiz, M. (2010) Discrete dislocations in graphene Journal of the Mechanics and Physics of Solids; Vol. 58; No. 5; https://doi.org/10.1016/j.jmps.2010.02.008

• Gonzalez, M.; Schmidt, B. et al. (2010) Energy-stepping integrators in Lagrangian mechanics International Journal for Numerical Methods in Engineering; Vol. 82; No. 2; https://doi.org/10.1002/nme.2753

• Abraham, J.; Abreu, P. et al. (2010) Measurement of the Depth of Maximum of Extensive Air Showers above 10^(18) eV Physical Review Letters; Vol. 104; No. 9; https://doi.org/10.1103/PhysRevLett.104.091101

• Stainier, L.; Ortiz, M. (2010) Study and validation of a variational theory of thermo-mechanical coupling in finite visco-plasticity International Journal of Solids and Structures; Vol. 47; No. 5; https://doi.org/10.1016/j.ijsolstr.2009.11.012

• Suryanarayana, Phanish; Vikram, Gavini et al. (2010) Non-periodic finite-element formulation of Kohn–Sham density functional theory Journal of the Mechanics and Physics of Solids; Vol. 58; No. 2; https://doi.org/10.1016/j.jmps.2009.10.002

• Marian, J.; Venturini, G. et al. (2010) Finite-temperature extension of the quasicontinuum method using Langevin dynamics: entropy losses and analysis of errors Modelling and Simulation in Materials Science and Engineering; Vol. 18; No. 1; https://doi.org/10.1088/0965-0393/18/1/015003

• Rimoli, J. J.; Gürses, E. et al. (2010) Shock-induced subgrain microstructures as possible homogenous sources of hot spots and initiation sites in energetic polycrystals Physical Review B; Vol. 81; No. 1; https://doi.org/10.1103/PhysRevB.81.014112

• Rimoli, J. J.; Ortiz, M. (2010) A three-dimensional multiscale model of intergranular hydrogen-assisted cracking Philosophical Magazine; Vol. 90; No. 21; https://doi.org/10.1080/14786431003752134

• Cyron, C. J.; Arroyo, M. et al. (2009) Smooth, second order, non-negative meshfree approximants selected by maximum entropy International Journal for Numerical Methods in Engineering; Vol. 79; No. 13; https://doi.org/10.1002/nme.2597

• Abraham, J.; Abreu, P. et al. (2009) Atmospheric effects on extensive air showers observed with the surface detector of the Pierre Auger observatory Astroparticle Physics; Vol. 32; No. 2; https://doi.org/10.1016/j.astropartphys.2009.06.004

• Larsen, C. J.; Ortiz, M. et al. (2009) Fracture Paths from Front Kinetics: Relaxation and Rate Independence Archive for Rational Mechanics and Analysis; Vol. 193; No. 3; https://doi.org/10.1007/s00205-009-0216-y

• Weinberg, Kerstin; Ortiz, Michael (2009) Kidney damage in extracorporeal shock wave lithotripsy: a numerical approach for different shock profiles Biomechanics and Modeling in Mechanobiology; Vol. 8; No. 4; https://doi.org/10.1007/s10237-008-0135-0

• Chalivendra, Vijaya B.; Hong, Soosung et al. (2009) Experimental validation of large-scale simulations of dynamic fracture along weak planes International Journal of Impact Engineering; Vol. 36; No. 7; https://doi.org/10.1016/j.ijimpeng.2008.11.009

• Sullivan, T.; Koslowski, M. et al. (2009) On the behavior of dissipative systems in contact with a heat bath: Application to Andrade creep Journal of the Mechanics and Physics of Solids; Vol. 57; No. 7; https://doi.org/10.1016/j.jmps.2009.03.006

• Pandolfi, Anna; Ortiz, Michael (2009) A numerical model of light adjustable lens Computational Mechanics; Vol. 44; No. 1; https://doi.org/10.1007/s00466-008-0361-4

• Schmidt, Bernd; Leyendecker, Sigrid et al. (2009) Γ-convergence of Variational Integrators for Constrained Systems Journal of Nonlinear Science; Vol. 19; No. 2; https://doi.org/10.1007/s00332-008-9030-1

• El Sayed, T.; Mock, Willis, Jr. et al. (2009) Computational assessment of ballistic impact on a high strength structural steel/polyurea composite plate Computational Mechanics; Vol. 43; No. 4; https://doi.org/10.1007/s00466-008-0327-6

• Schmidt, Bernd; Fraternali, Fernando et al. (2009) Eigenfracture: An Eigendeformation Approach to Variational Fracture Multiscale Modeling and Simulation; Vol. 7; No. 3; https://doi.org/10.1137/080712568

• Mosler, J.; Ortiz, M. (2009) An error-estimate-free and remapping-free variational mesh refinement and coarsening method for dissipative solids at finite strains International Journal for Numerical Methods in Engineering; Vol. 77; No. 3; https://doi.org/10.1002/nme.2428

• El Sayed, Tamer; Mota, Alejandro et al. (2008) Biomechanics of traumatic brain injury Computer Methods in Applied Mechanics and Engineering; Vol. 197; No. 51-52; https://doi.org/10.1016/j.cma.2008.06.006

• Lucas, L. J.; Owhadi, H. et al. (2008) Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities Computer Methods in Applied Mechanics and Engineering; Vol. 197; No. 51-52; https://doi.org/10.1016/j.cma.2008.06.008

• Ramasubramaniam, A.; Itakura, M. et al. (2008) Effect of atomic scale plasticity on hydrogen diffusion in iron: Quantum mechanically informed and on-the-fly kinetic Monte Carlo simulations Journal of Materials Research; Vol. 23; No. 10; https://doi.org/10.1557/JMR.2008.0340

• Leyendecker, Sigrid; Marsden, Jerrold E. et al. (2008) Variational integrators for constrained dynamical systems Zeitschrift für Angewandte Mathematik und Mechanik; Vol. 88; No. 9; https://doi.org/10.1002/zamm.200700173

• Mielke, Alexander; Ortiz, Michael (2008) A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems ESAIM: Control, Optimisation and Calculus of Variations; Vol. 14; No. 3; https://doi.org/10.1051/cocv:2007064

• Zielonka, M. G.; Ortiz, M. et al. (2008) Variational r-adaption in elastodynamics International Journal for Numerical Methods in Engineering; Vol. 74; No. 7; https://doi.org/10.1002/nme.2205

• Conti, S.; Ortiz, M. (2008) Minimum principles for the trajectories of systems governed by rate problems Journal of the Mechanics and Physics of Solids; Vol. 56; No. 5; https://doi.org/10.1016/j.jmps.2007.11.006

• Kulkarni, Yashashree; Knapp, Jaroslaw et al. (2008) A variational approach to coarse graining of equilibrium and non-equilibrium atomistic description at finite temperature Journal of the Mechanics and Physics of Solids; Vol. 56; No. 4; https://doi.org/10.1016/j.jmps.2007.09.005

• Mota, Alejandro; Knap, Jaroslaw et al. (2008) Fracture and fragmentation of simplicial finite element meshes using graphs International Journal for Numerical Methods in Engineering; Vol. 73; No. 11; https://doi.org/10.1002/nme.2135

• Pandolfi, Anna; Ortiz, Michael (2008) Numerical Analysis of Elastomeric Fluidic Microvalves Sensor Letters; Vol. 6; No. 1; In: International Conference of Thermal, Mechanical and Multiphysics Simulation and Experiments in Microelectronics and Microsystems, April 24-26, 2006 , Lombardy, Italy https://doi.org/10.1166/sl.2008.002

• El Sayed, Tamer; Mota, Alejandro et al. (2008) A variational constitutive model for soft biological tissues Journal of Biomechanics; Vol. 41; No. 7; https://doi.org/10.1016/j.jbiomech.2008.02.023

• Gavirini, Vikram; Bhattacharya, Kaushik et al. (2007) Vacancy clustering and prismatic dislocation loop formation in aluminum Physical Review B; Vol. 76; No. 18; https://doi.org/10.1103/PhysRevB.76.180101

• Mosler, J.; Ortiz, M. (2007) Variational h-adaption in finite deformation elasticity and plasticity International Journal for Numerical Methods in Engineering; Vol. 72; No. 5; https://doi.org/10.1002/nme.2011

• Hauret, P.; Kuhl, E. et al. (2007) Diamond elements: a finite element/discrete-mechanics approximation scheme with guaranteed optimal convergence in incompressible elasticity International Journal for Numerical Methods in Engineering; Vol. 72; No. 3; https://doi.org/10.1002/nme.1992

• Fortunelli, A.; Ortiz, M. (2007) Constitutive model for plasticity in an amorphous polycarbonate Physical Review E; Vol. 76; No. 4; https://doi.org/10.1103/PhysRevE.76.041806

• Yavari, A.; Ortiz, M. et al. (2007) Anharmonic lattice statics analysis of 180º and 90º ferroelectric domain walls in PbTiO_3 Philosophical Magazine; Vol. 87; No. 26; https://doi.org/10.1080/14786430701418956

• Arias, Irene; Knap, Jaroslaw et al. (2007) Numerical modelling and experimental validation of dynamic fracture events along weak planes Computer Methods in Applied Mechanics and Engineering; Vol. 196; No. 37-40; https://doi.org/10.1016/j.cma.2006.10.052

• Pandolfi, Anna; Ortiz, Michael (2007) Improved design of low-pressure fluidic microvalves Journal of Micromechanics and Microengineering; Vol. 17; No. 8; https://doi.org/10.1088/0960-1317/17/8/010

• Gavini, Vikram; Knap, Jaroslaw et al. (2007) Non-periodic finite-element formulation of orbital-free density functional theory Journal of the Mechanics and Physics of Solids; Vol. 55; No. 4; https://doi.org/10.1016/j.jmps.2006.09.011

• Gavini, Vikram; Bhattacharya, Kaushik et al. (2007) Quasi-continuum orbital-free density-functional theory: A route to multi-million atom non-periodic DFT calculation Journal of the Mechanics and Physics of Solids; Vol. 55; No. 4; https://doi.org/10.1016/j.jmps.2007.01.012

• Conti, Sergio; Hauret, Patrice et al. (2007) Concurrent Multiscale Computing of Deformation Microstructure by Relaxation and Local Enrichment with Application to Single-Crystal Plasticity Multiscale Modeling & Simulation; Vol. 6; No. 1; https://doi.org/10.1137/060662332

• Ramasubramaniam, A.; Ariza, M. P. et al. (2007) A discrete mechanics approach to dislocation dynamics in BCC crystals Journal of the Mechanics and Physics of Solids; Vol. 55; No. 3; https://doi.org/10.1016/j.jmps.2006.08.005

• Yavari, Arash; Ortiz, Michael et al. (2007) A theory of anharmonic lattice statics for analysis of defective crystals Journal of Elasticity; Vol. 86; No. 1; https://doi.org/10.1007/s10659-006-9079-8

• Pandolfi, A.; Conti, S. et al. (2006) A recursive-faulting model of distributed damage in confined brittle materials Journal of the Mechanics and Physics of Solids; Vol. 54; No. 9; https://doi.org/10.1016/j.jmps.2006.02.003

• Mosler, J.; Ortiz, M. (2006) On the numerical implementation of variational arbitrary Lagrangian–Eulerian (VALE) formulations International Journal for Numerical Methods in Engineering; Vol. 67; No. 9; https://doi.org/10.1002/nme.1621

• Hauret, Patrice; Ortiz, Michael (2006) BV estimates for mortar methods in linear elasticity Computer Methods in Applied Mechanics and Engineering; Vol. 195; No. 37-40; https://doi.org/10.1016/j.cma.2005.09.021

• Hayes, Robin L.; Ho, Gregory et al. (2006) Prediction of dislocation nucleation during nanoindentation of Al_3Mg by the orbital-free density functional theory local quasicontinuum method Philosophical Magazine; Vol. 86; No. 16; https://doi.org/10.1080/14786430500525829

• Lew, A.; Caspersen, K. et al. (2006) Quantum mechanics based multiscale modeling of stress-induced phase transformations in iron Journal of the Mechanics and Physics of Solids; Vol. 54; No. 6; https://doi.org/10.1016/j.jmps.2005.11.009

• Braides, Andrea; Lew, Adrian J. et al. (2006) Effective Cohesive Behavior of Layers of Interatomic Planes Archive for Rational Mechanics and Analysis; Vol. 180; No. 2; https://doi.org/10.1007/s00205-005-0399-9

• Yavari, Arash; Marsden, Jerrold E. et al. (2006) On spatial and material covariant balance laws in elasticity Journal of Mathematical Physics; Vol. 47; No. 4; https://doi.org/10.1063/1.2190827

• Arroyo, M.; Ortiz, M. (2006) Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods International Journal for Numerical Methods in Engineering; Vol. 65; No. 13; https://doi.org/10.1002/nme.1534

• Arias, I.; Serebrinsky, S. et al. (2006) A phenomenological cohesive model of ferroelectric fatigue Acta Materialia; Vol. 54; No. 4; https://doi.org/10.1016/j.actamat.2005.10.035

• Yang, Q.; Stainier, L. et al. (2006) A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids Journal of the Mechanics and Physics of Solids; Vol. 54; No. 2; https://doi.org/10.1016/j.jmps.2005.08.010

• Yang, Q.; Mota, A. et al. (2006) A Finite-Deformation Constitutive Model of Bulk Metallic Glass Plasticity Computational Mechanics; Vol. 37; No. 2; https://doi.org/10.1007/s00466-005-0690-5

• Weinberg, K.; Mota, A. et al. (2006) A variational constitutive model for porous metal plasticity Computational Mechanics; Vol. 37; No. 2; https://doi.org/10.1007/s00466-005-0685-2

• Mota, Alejandro; Knap, Jaroslaw et al. (2006) Three-dimensional fracture and fragmentation of artificial kidney stones Journal of Physics: Conference Series; Vol. 46; In: 2nd Annual Scientific Discovery Through Advanced Computing Conference (SciDAC 2006) , Jun. 25-29, 2006 , Denver, CO https://doi.org/10.1088/1742-6596/46/1/041

• Serebrinsky, S.; Ortiz, M. (2005) A hysteretic cohesive-law model of fatigue-crack nucleation Scripta Materialia; Vol. 53; No. 10; https://doi.org/10.1016/j.scriptamat.2005.07.015

• Ariza, M. P.; Ortiz, M. (2005) Discrete Crystal Elasticity and Discrete Dislocations in Crystals Archive for Rational Mechanics and Analysis; Vol. 178; No. 2; https://doi.org/10.1007/s00205-005-0391-4

• Cirak, Fehmi; Ortiz, Michael et al. (2005) A cohesive approach to thin-shell fracture and fragmentation Computer Methods in Applied Mechanics and Engineering; Vol. 194; No. 21-24; https://doi.org/10.1016/j.cma.2004.07.048

• Marian, Jaime; Knap, Jaroslaw et al. (2005) Nanovoid deformation in aluminum under simple shear Acta Materialia; Vol. 53; No. 10; https://doi.org/10.1016/j.actamat.2005.02.046

• Conti, Sergio; Ortiz, Michael (2005) Dislocation Microstructures and the Effective Behavior of Single Crystals Archive for Rational Mechanics and Analysis; Vol. 176; No. 1; https://doi.org/10.1007/s00205-004-0353-2

• Weinberg, K.; Ortiz, M. (2005) Shock wave induced damage in kidney tissue Computational Materials Science; Vol. 32; No. 3-4; https://doi.org/10.1016/j.commatsci.2004.09.005

• Yang, Q.; Mota, A. et al. (2005) A class of variational strain-localization finite elements International Journal for Numerical Methods in Engineering; Vol. 62; No. 8; https://doi.org/10.1002/nme.1199

• Klug, W. S.; Feldmann, M. T. et al. (2005) Three-dimensional director-field predictions of viral DNA packing arrangements Computational Mechanics; Vol. 35; No. 2; https://doi.org/10.1007/s00466-004-0613-x

• Hayes, Robin L.; Fago, Matt et al. (2005) Prediction of Dislocation Nucleation During Nanoindentation by the Orbital-Free Density Functional Theory Local Quasi-continuum Method Multiscale Modeling and Simulation; Vol. 4; No. 2; https://doi.org/10.1137/080727531

• Sivakumar, Srinivasan M.; Ortiz, Michael (2004) Microstructure evolution in the equal channel angular extrusion process Computer Methods in Applied Mechanics and Engineering; Vol. 193; No. 48-51; https://doi.org/10.1016/j.cma.2004.01.036

• Weinberg, Kerstin; Colonius, Tim et al. (2004) A Model for Kidney Tissue Damage under High Speed Loading Proceedings in Applied Mathematics and Mechanics; Vol. 4; No. 1; In: GAMM Annual Meeting, 21-27 March 2004, Dresden, Germany https://doi.org/10.1002/pamm.200410098

• Koslowski, M.; Ortiz, M. (2004) A multi-phase field model of planar dislocation networks Modelling and Simulation in Materials Science and Engineering; Vol. 12; No. 6; https://doi.org/10.1088/0965-0393/12/6/003

• Marian, Jaime; Knap, Jaroslaw et al. (2004) Nanovoid Cavitation by Dislocation Emission in Aluminum Physical Review Letters; Vol. 93; No. 16; https://doi.org/10.1103/PhysRevLett.93.165503

• Serebrinsky, S.; Carter, E. A. et al. (2004) A quantum-mechanically informed continuum model of hydrogen embrittlement Journal of the Mechanics and Physics of Solids; Vol. 52; No. 10; https://doi.org/10.1016/j.jmps.2004.02.010

• Caspersen, Kyle J.; Lew, Adrian et al. (2004) Importance of Shear in the bcc-to-hcp Transformation in Iron Physical Review Letters; Vol. 93; No. 11; https://doi.org/10.1103/PhysRevLett.93.115501

• Thoutireddy, P.; Ortiz, M. (2004) A variational r-adaption and shape-optimization method for finite-deformation elasticity International Journal for Numerical Methods in Engineering; Vol. 61; No. 1; https://doi.org/10.1002/nme.1052

• Fago, Matt; Hayes, Robin L. et al. (2004) Density-functional-theory-based local quasicontinuum method: Prediction of dislocation nucleation Physical Review B; Vol. 70; No. 10; https://doi.org/10.1103/PhysRevB.70.100102

• Ortiz, M.; Pandolfi, A. (2004) A variational Cam-clay theory of plasticity Computer Methods in Applied Mechanics and Engineering; Vol. 193; No. 27-29; https://doi.org/10.1016/j.cma.2003.08.008

• Lew, A.; Marsden, J. E. et al. (2004) Variational time integrators International Journal for Numerical Methods in Engineering; Vol. 60; No. 1; https://doi.org/10.1002/nme.958

• Hayes, Robin L.; Ortiz, Michael et al. (2004) Universal binding-energy relation for crystals that accounts for surface relaxation Physical Review B; Vol. 69; No. 17; https://doi.org/10.1103/PhysRevB.69.172104

• Müller, S.; Ortiz, M. (2004) On the Γ-convergence of discrete dynamics and variational integrators Journal of Nonlinear Science; Vol. 14; No. 3; https://doi.org/10.1007/BF02666023

• Studer, Vincent; Hang, Giao et al. (2004) Scaling properties of a low-actuation pressure microfluidic valve Journal of Applied Physics; Vol. 95; No. 1; https://doi.org/10.1063/1.1629781

• Lew, Adrian; Neff, Patrizio et al. (2004) Optimal BV estimates for a discontinuous Galerkin method for linear elasticity Applied Mathematics Research eXpress; Vol. 2004; No. 3; https://doi.org/10.1155/S1687120004020052

• Aubry, S.; Ortiz, M. (2003) The mechanics of deformation-induced subgrain-dislocation structures in metallic crystals at large strains Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 459; No. 2040; https://doi.org/10.1098/rspa.2003.1179

• Klug, W. S.; Ortiz, M. (2003) A director-field model of DNA packaging in viral capsids Journal of the Mechanics and Physics of Solids; Vol. 51; No. 10; https://doi.org/10.1016/S0022-5096(03)00071-1

• Aubry, Sylvie; Fago, Matt et al. (2003) A constrained sequential-lamination algorithm for the simulation of sub-grid microstructure in martensitic materials Computer Methods in Applied Mechanics and Engineering; Vol. 192; No. 26-27; https://doi.org/10.1016/S0045-7825(03)00260-3

• Cirak, Fehmi; Cisternas, Jaime E. et al. (2003) Oscillatory Thermomechanical Instability of an Ultrathin Catalyst Science; Vol. 300; No. 5627; https://doi.org/10.1126/science.1083909

• Knap, J.; Ortiz, M. (2003) Effect of Indenter-Radius Size on Au(001) Nanoindentation Physical Review Letters; Vol. 90; No. 22; https://doi.org/10.1103/PhysRevLett.90.226102

• Mota, A.; Klug, W. S. et al. (2003) Finite-element simulation of firearm injury to the human cranium Computational Mechanics; Vol. 31; No. 1-2; https://doi.org/10.1007/s00466-002-0398-8

• Lew, A.; Marsden, J. E. et al. (2003) Asynchronous Variational Integrators Archive for Rational Mechanics and Analysis; Vol. 167; No. 2; https://doi.org/10.1007/s00205-002-0212-y

• Stainier, L.; Cuitiño, A. M. et al. (2003) Multiscale modelling of hardening in BCC crystal plasticity Journal de Physique IV (Proceedings); Vol. 105; https://doi.org/10.1051/jp4:20030183

• Yu, C.; Ortiz, M. et al. (2003) 3D Modelling of Impact Failure in Sandwich Structures European Structural Integrity Society; Vol. 32; https://doi.org/10.1016/S1566-1369(03)80122-X

• Fetecau, R. C.; Marsden, J. E. et al. (2003) Nonsmooth Lagrangian mechanics and variational collision integrators SIAM Journal on Applied Dynamical Systems; Vol. 2; No. 3; https://doi.org/10.1137/S1111111102406038

• Koslowski, M.; Cuitiño, A. M. et al. (2002) A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals Journal of the Mechanics and Physics of Solids; Vol. 50; No. 12; https://doi.org/10.1016/S0022-5096(02)00037-6

• Yu, C.; Pandolfi, A. et al. (2002) Three-dimensional modeling of intersonic shear-crack growth in asymmetrically loaded unidirectional composite plates International Journal of Solids and Structures; Vol. 39; No. 25; https://doi.org/10.1016/S0020-7683(02)00466-3

• Pandolfi, A.; Ortiz, M. (2002) An Efficient Adaptive Procedure for Three-Dimensional Fragmentation Simulations Engineering with Computers; Vol. 18; No. 2; https://doi.org/10.1007/s003660200013

• Nguyen, O.; Ortiz, M. (2002) Coarse-graining and renormalization of atomistic binding relations and universal macroscopic cohesive behavior Journal of the Mechanics and Physics of Solids; Vol. 50; No. 8; https://doi.org/10.1016/S0022-5096(01)00133-8

• Stainier, L.; Cuitiño, A. M. et al. (2002) A micromechanical model of hardening, rate sensitivity and thermal softening in BCC single crystals Journal of the Mechanics and Physics of Solids; Vol. 50; No. 7; https://doi.org/10.1016/S0022-5096(01)00114-4

• Gioia, G.; DeSimone, A. et al. (2002) Folding energetics in thin-film diaphragms Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 458; No. 2021; https://doi.org/10.1098/rspa.2001.0921

• Molinari, J. F.; Ortiz, M. (2002) A study of solid-particle erosion of metallic targets International Journal of Impact Engineering; Vol. 27; No. 4; https://doi.org/10.1016/S0734-743X(01)00055-0

• Pandolfi, A.; Kane, C. et al. (2002) Time-discretized variational formulation of non-smooth frictional contact International Journal for Numerical Methods in Engineering; Vol. 53; No. 8; https://doi.org/10.1002/nme.361

• Molinari, J. F.; Ortiz, M. (2002) Three-dimensional adaptive meshing by subdivision and edge-collapse in finite-deformation dynamic-plasticity problems with application to adiabatic shear banding International Journal for Numerical Methods in Engineering; Vol. 53; No. 5; https://doi.org/10.1002/nme.325

• Cirak, Fehmi; Scott, Michael J. et al. (2002) Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision Computer-Aided Design; Vol. 34; No. 2; https://doi.org/10.1016/S0010-4485(01)00061-6

• Ortiz, M.; Radovitzky, R. A. et al. (2001) The computation of the exponential and logarithmic mappings and their first and second linearizations International Journal for Numerical Methods in Engineering; Vol. 52; No. 12; https://doi.org/10.1002/nme.263

• Ruiz, Gonzalo; Pandolfi, Anna et al. (2001) Three‐dimensional cohesive modeling of dynamic mixed‐mode fracture International Journal for Numerical Methods in Engineering; Vol. 52; No. 1-2; https://doi.org/10.1002/nme.273

• Yadav, S.; Repetto, E. A. et al. (2001) A computational study of the influence of thermal softening on ballistic penetration in metals International Journal of Impact Engineering; Vol. 25; No. 8; https://doi.org/10.1016/S0734-743X(01)00008-2

• Knapp, J.; Ortiz, M. (2001) An analysis of the quasicontinuum method Journal of the Mechanics and Physics of Solids; Vol. 49; No. 9; https://doi.org/10.1016/S0022-5096(01)00034-5

• Nguyen, O.; Repetto, E. A. et al. (2001) A Cohesive model of fatigue crack growth International Journal of Fracture; Vol. 110; No. 4; https://doi.org/10.1023/A:1010839522926

• Cirak, Fehmi; Ortiz, Michael (2001) Fully C^1‐conforming subdivision elements for finite deformation thin‐shell analysis International Journal for Numerical Methods in Engineering; Vol. 51; No. 7; https://doi.org/10.1002/nme.182

• Cuitiño, Alberto M.; Stainier, Laurent et al. (2001) A multiscale approach for modeling crystalline solids Journal of Computer-Aided Materials Design; Vol. 8; No. 2/3; https://doi.org/10.1023/A:1020012431230

• Lewis, A. C.; Radovitzky, R. et al. (2001) An artificial viscosity method for the Lagrangian analysis of shocks in solids with strength on unstructured, arbitrary order tetrahedral meshes Journal of Computer-Aided Materials Design; Vol. 8; No. 2/3; https://doi.org/10.1023/A:1020064403005

• Krysl, Petr; Ortiz, Michael (2001) Extraction of boundary representation from surface triangulations International Journal for Numerical Methods in Engineering; Vol. 50; No. 7; https://doi.org/10.1002/nme.94

• Krysl, Petr; Ortiz, Michael (2001) Variational Delaunay approach to the generation of tetrahedral finite element meshes International Journal for Numerical Methods in Engineering; Vol. 50; No. 7; https://doi.org/10.1002/nme.91

• Ortiz, M.; Cuitiño, A. M. et al. (2001) Mixed Atomistic–Continuum Models of Material Behavior: The Art of Transcending Atomistics and Informing Continua MRS Bulletin; Vol. 26; No. 03; https://doi.org/10.1557/mrs2001.45

• Thoutireddy, P.; Molinari, J. F. et al. (2001) Tetrahedral composite finite elements International Journal for Numerical Methods in Engineering; Vol. 53; No. 6; https://doi.org/10.1002/nme.337

• Molinari, J. F.; Ortiz, M. et al. (2001) Finite‐element modeling of dry sliding wear in metals Engineering Computations; Vol. 18; No. 3/4; https://doi.org/10.1108/00368790110407257

• Kane, C.; Marsden, J. E. et al. (2000) Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems International Journal for Numerical Methods in Engineering; Vol. 49; No. 10; https://doi.org/10.1002/1097-0207(20001210)49:10<1295::AID-NME993>3.0.CO;2-W

• Ortiz, M.; Repetto, E. A. et al. (2000) A theory of subgrain dislocation structures Journal of the Mechanics and Physics of Solids; Vol. 48; No. 10; https://doi.org/10.1016/S0022-5096(99)00104-0

• Ruiz, Gonzalo; Ortiz, Michael et al. (2000) Three-dimensional finite-element simulation of the dynamic Brazilian tests on concrete cylinders International Journal for Numerical Methods in Engineering; Vol. 48; No. 7; https://doi.org/10.1002/(SICI)1097-0207(20000710)48:7<963::AID-NME908>3.0.CO;2-X

• Radovitzky, R.; Ortiz, M. (2000) Tetrahedral mesh generation based on node insertion in crystal lattice arrangements and advancing-front-Delaunay triangulation Computer Methods in Applied Mechanics and Engineering; Vol. 187; No. 3-4; https://doi.org/10.1016/S0045-7825(99)00339-4

• Pandolfi, A.; Guduru, P. R. et al. (2000) Three dimensional cohesive-element analysis and experiments of dynamic fracture in C300 steel International Journal of Solids and Structures; Vol. 37; No. 27; https://doi.org/10.1016/S0020-7683(99)00155-9

• Cirak, Fehmi; Ortiz, Michael et al. (2000) Subdivision surfaces: a new paradigm for thin-shell finite-element analysis International Journal for Numerical Methods in Engineering; Vol. 47; No. 12; https://doi.org/10.1002/(SICI)1097-0207(20000430)47:12<2039::AID-NME872>3.0.CO;2-1

• Aivazis, Michael; Goddard, William A. et al. (2000) A virtual test facility for simulating the dynamic response of materials Computing in Science & Engineering; Vol. 2; No. 2; https://doi.org/10.1109/5992.825748

• Repetto, E. A.; Radovitzky, R. et al. (2000) Finite element simulation of dynamic fracture and fragmentation of glass rods Computer Methods in Applied Mechanics and Engineering; Vol. 183; No. 1-2; https://doi.org/10.1016/S0045-7825(99)00208-X

• Guo, Yong; Ortiz, Michael et al. (2000) Triangular composite finite elements International Journal for Numerical Methods in Engineering; Vol. 47; No. 1-3; https://doi.org/10.1002/(SICI)1097-0207(20000110/30)47:1/3<287::AID-NME772>3.0.CO;2-M

• Tadmor, E. B.; Phillips, R. et al. (2000) Hierarchical modeling in the mechanics of materials International Journal of Solids and Structures; Vol. 37; No. 1-2; https://doi.org/10.1016/S0020-7683(99)00095-5

• Kane, C.; Repetto, E. A. et al. (1999) Finite element analysis of nonsmooth contact Computer Methods in Applied Mechanics and Engineering; Vol. 180; No. 1-2; https://doi.org/10.1016/S0045-7825(99)00034-1

• Phillips, Rob; Rodney, David et al. (1999) Hierarchical models of plasticity: dislocation nucleation and interaction Modelling and Simulation in Materials Science and Engineering; Vol. 7; No. 5; https://doi.org/10.1088/0965-0393/7/5/309

• Kane, C.; Marsden, J. E. et al. (1999) Symplectic-energy-momentum preserving variational integrators Journal of Mathematical Physics; Vol. 40; No. 7; https://doi.org/10.1063/1.532892

• Shenoy, V. B.; Ortiz, M. et al. (1999) The atomistic structure and energy of nascent dislocation loops Modelling and Simulation in Materials Science and Engineering; Vol. 7; No. 4; https://doi.org/10.1088/0965-0393/7/4/309

• Tadmor, E.B.; Miller, R. et al. (1999) Nanoindentation and incipient plasticity Journal of Materials Research; Vol. 14; No. 6; https://resolver.caltech.edu/CaltechAUTHORS:TADjmr99

• Ortiz, M. (1999) Plastic Yielding as a Phase Transition Journal of Applied Mechanics; Vol. 66; No. 2; https://doi.org/10.1115/1.2791048

• de-Andrés, A.; Pérez, J. L. et al. (1999) Elastoplastic finite element analysis of three-dimensional fatigue crack growth in aluminum shafts subjected to axial loading International Journal of Solids and Structures; Vol. 36; No. 15; https://doi.org/10.1016/S0020-7683(98)00059-6

• Radovitzky, R.; Ortiz, M. (1999) Error estimation and adaptive meshing in strongly nonlinear dynamic problems Computer Methods in Applied Mechanics and Engineering; Vol. 172; No. 1-4; https://doi.org/10.1016/S0045-7825(98)00230-8

• Ortiz, M.; Stainier, L. (1999) The variational formulation of viscoplastic constitutive updates Computer Methods in Applied Mechanics and Engineering; Vol. 171; No. 3-4; https://doi.org/10.1016/S0045-7825(98)00219-9

• Borcea, Liliana; Ortiz, Michael (1999) A multiscattering series for impedance tomography in layered media Inverse Problems; Vol. 15; No. 2; https://doi.org/10.1088/0266-5611/15/2/011

• Ortiz, M.; Pandolfi, A. (1999) Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis International Journal for Numerical Methods in Engineering; Vol. 44; No. 9; https://doi.org/10.1002/(SICI)1097-0207(19990330)44:9<1267::AID-NME486>3.0.CO;2-7

• Ortiz, M.; Repetto, E. A. et al. (1999) A continuum model of kinetic roughening and coarsening in thin films Journal of the Mechanics and Physics of Solids; Vol. 47; No. 4; https://doi.org/10.1016/S0022-5096(98)00102-1

• Ortiz, M.; Repetto, E. A. (1999) Nonconvex energy minimization and dislocation structures in ductile single crystals Journal of the Mechanics and Physics of Solids; Vol. 47; No. 2; https://doi.org/10.1016/S0022-5096(97)00096-3

• Repetto, E. A.; Radovitzky, R. et al. (1999) A Finite Element Study of Electromagnetic Riveting Journal of Manufacturing Science and Engineering; Vol. 121; No. 1; https://doi.org/10.1115/1.2830576

• Pandolfi, A.; Krysl, P. et al. (1999) Finite element simulation of ring expansion and fragmentation: The capturing of length and time scales through cohesive models of fracture International Journal of Fracture; Vol. 95; No. 1/4; https://doi.org/10.1023/A:1018672922734

• Gioia, G.; Ortiz, M. (1998) Determination of thin-film debonding parameters from telephone-cord measurements Acta Materialia; Vol. 46; No. 1; https://doi.org/10.1016/S1359-6454(97)00211-5

• Pandolfi, A.; Ortiz, M. (1998) Solid modeling aspects of three-dimensional fragmentation Engineering with Computers; Vol. 14; No. 4; https://doi.org/10.1007/BF01201761

• Radovitzky, R.; Ortiz, M. (1998) Lagrangian finite element analysis of Newtonian fluid flows International Journal for Numerical Methods in Engineering; Vol. 43; No. 4; https://doi.org/10.1002/(SICI)1097-0207(19981030)43:4<607::AID-NME399>3.0.CO;2-N

• Miller, Ron; Phillips, Rob et al. (1998) A non-local formulation of the Peierls dislocation model Journal of the Mechanics and Physics of Solids; Vol. 46; No. 10; https://doi.org/10.1016/S0022-5096(98)00057-X

• Xu, G.; Bower, A. F. et al. (1998) The influence of crack trapping on the toughness of fiber reinforced composites Journal of the Mechanics and Physics of Solids; Vol. 46; No. 10; https://doi.org/10.1016/S0022-5096(98)00059-3

• Bhattacharya, K.; Ortiz, M. et al. (1998) Energy-based model of compressive splitting in heterogeneous brittle solids Journal of the Mechanics and Physics of Solids; Vol. 46; No. 10; In: Symposium on the Dynamic Deformation and Failure Mechanics of Materials, Honoring Professor R J Clifton on the Occasion of his 60th Birthday, May 22-24, 1997, Pasadena, CA https://doi.org/10.1016/S0022-5096(98)00026-X

• Miller, R.; Ortiz, M. et al. (1998) Quasicontinuum models of fracture and plasticity Engineering Fracture Mechanics; Vol. 61; No. 3-4; https://doi.org/10.1016/S0013-7944(98)00047-2

• Miller, R.; Tadmor, E. B. et al. (1998) Quasicontinuum simulation of fracture at the atomic scale Modelling and Simulation in Materials Science and Engineering; Vol. 6; No. 5; https://doi.org/10.1088/0965-0393/6/5/008

• Chen, J. Y.; Huang, Y. et al. (1998) Fracture analysis of cellular materials: A strain gradient model Journal of the Mechanics and Physics of Solids; Vol. 46; No. 5; https://doi.org/10.1016/S0022-5096(98)00006-4

• Shenoy, V. B.; Miller, R. et al. (1998) Quasicontinuum Models of Interfacial Structure and Deformation Physical Review Letters; Vol. 08; No. 4; https://doi.org/10.1103/PhysRevLett.80.742

• Bigoni, D.; Ortiz, M. et al. (1997) Effect of interfacial compliance on bifurcation of a layer bonded to a substrate International Journal of Solids and Structures; Vol. 34; No. 33-34; https://doi.org/10.1016/S0020-7683(97)00025-5

• Walter, M. E.; Ravichandran, G. et al. (1997) Computational modeling of damage evolution in unidirectional fiber reinforced ceramic matrix composites Computational Mechanics; Vol. 20; No. 1-2; In: Joint IUTAM/Royal-Irish-Academy Symposium on Innovative Computational Methods for Fracture and Damage, Jun. 30-Jul. 05, 1996, Dublin, Ireland https://doi.org/10.1007/s004660050239

• Repetto, E. A.; Ortiz, M. (1997) A micromechanical model of cyclic deformation and fatigue-crack nucleation in f.c.c. single crystals Acta Materialia; Vol. 45; No. 6; https://doi.org/10.1016/S1359-6454(96)00368-0

• Camacho, G. T.; Ortiz, M. (1997) Adaptive Lagrangian modelling of ballistic penetration of metallic targets Computer Methods in Applied Mechanics and Engineering; Vol. 142; No. 3-4; https://doi.org/10.1016/S0045-7825(96)01134-6

• Xu, G.; Argon, A. S. et al. (1997) Critical configurations for dislocation nucleation from crack tips Philosophical Magazine A; Vol. 75; No. 2; https://doi.org/10.1080/01418619708205146

• Tadmor, E. B.; Phillips, Rob et al. (1996) Mixed Atomistic and Continuum Models of Deformation in Solids Langmuir; Vol. 12; No. 19; In: Workshop on Physical and Chemical Mechanisms in Tribology, August 27-September 1, 1995, Bar Harbor, ME https://doi.org/10.1021/la9508912

• Ortiz, M. (1996) Computational micromechanics Computational Mechanics; Vol. 18; No. 5; https://doi.org/10.1007/BF00376129

• Camacho, G. T.; Ortiz, M. (1996) Computational modelling of impact damage in brittle materials International Journal of Solids and Structures; Vol. 33; No. 20-22; https://doi.org/10.1016/0020-7683(95)00255-3

• Ortiz, Miguel (1996) Juan Carlos Simo, 1952–1994 International Journal of Solids and Structures; Vol. 33; No. 20-22; https://doi.org/10.1016/S0020-7683(96)90054-2

• Tadmor, E. B.; Ortiz, M. et al. (1996) Quasicontinuum analysis of defects in solids Philosophical Magazine A; Vol. 73; No. 6; https://doi.org/10.1080/01418619608243000

• Cuitiño, A. M.; Ortiz, M. (1996) Three-dimensional crack-tip fields in four-point-bending copper single-crystal specimens Journal of the Mechanics and Physics of Solids; Vol. 44; No. 6; https://doi.org/10.1016/0022-5096(96)00016-6

• Cuitiño, A. M.; Ortiz, M. (1996) Ductile fracture by vacancy condensation in f.c.c. single crystals Acta Materialia; Vol. 44; No. 2; https://doi.org/10.1016/1359-6454(95)00220-0

• Gioia, G.; Ortiz, M. (1996) The Two-Dimensional Structure of Dynamic Boundary Layers and Shear Bands in Thermoviscoplastic Solids In: IUTAM Symposium on Nonlinear Analysis of Fracture; Journal of the Mechanics and Physics of Solids; Vol. 44; No. 2; https://doi.org/10.1016/0022-5096(95)00071-2

• Marusich, T. D.; Ortiz, M. (1995) Modelling and simulation of high-speed machining International Journal for Numerical Methods in Engineering; Vol. 38; No. 21; https://doi.org/10.1002/nme.1620382108

• Xu, G.; Argon, A. S. et al. (1995) Nucleation of dislocations from crack tips under mixed modes of loading: Implications for brittle against ductile behaviour of crystals Philosophical Magazine A; Vol. 72; No. 2; https://doi.org/10.1080/01418619508239933

• Xu, G.; Ortiz, M. (1993) A variational boundary integral method for the analysis of 3-D cracks of arbitrary geometry modelled as continuous distributions of dislocation loops International Journal for Numerical Methods in Engineering; Vol. 36; No. 21; https://doi.org/10.1002/nme.1620362107

• Gallego, Rafael; Ortiz, Michael (1993) A harmonic/anharmonic energy partition method for lattice statics computations Modelling and Simulation in Materials Science and Engineering; Vol. 1; No. 4; https://doi.org/10.1088/0965-0393/1/4/006

• Bower, A. F.; Ortiz, M. (1993) The Influence of Grain Size on the Toughness of Monolithic Ceramics Journal of Engineering Materials and Technology; Vol. 115; No. 3; https://doi.org/10.1115/1.2904212

• Cuitiño, A. M.; Ortiz, M. (1993) Computational modelling of single crystals Modelling and Simulation in Materials Science and Engineering; Vol. 1; No. 3; https://doi.org/10.1088/0965-0393/1/3/001

• Bower, A. F.; Ortiz, M. (1993) An Analysis of Crack Trapping by Residual Stresses in Brittle Solids Journal of Applied Mechanics; Vol. 60; No. 1; https://doi.org/10.1115/1.2900742

• Ortiz, M.; Suresh, S. (1993) Statistical Properties of Residual Stresses and Intergranular Fracture in Ceramic Materials Journal of Applied Mechanics; Vol. 60; No. 1; https://doi.org/10.1115/1.2900782

• Espinosa, H. D.; Raiser, G. et al. (1992) Performance of the star‐shaped flyer in the study of brittle materials: Three dimensional computer simulations and experimental observations Journal of Applied Physics; Vol. 72; No. 8; https://doi.org/10.1063/1.351419

• Mohan, R.; Ortiz, M. et al. (1992) Mode mixity effects on crack tip deformation in ductile single crystals Acta Metallurgica et Materialia; Vol. 40; No. 8; https://doi.org/10.1016/0956-7151(92)90177-G

• Ortiz, M.; Molinari, A. (1992) Effect of Strain Hardening and Rate Sensitivity on the Dynamic Growth of a Void in a Plastic Material Journal of Applied Mechanics; Vol. 59; No. 1; https://doi.org/10.1115/1.2899463

• Mohan, R.; Ortiz, M. et al. (1992) Influence of Cracking Direction on Interfacial Fracture in Bicrystals With Symmetric Tilt Boundary Journal of Applied Mechanics; Vol. 59; No. 1; https://doi.org/10.1115/1.2899469

• Cuitiño, A. M.; Ortiz, M. (1992) A material‐independent method for extending stress update algorithms from small-strain plasticity to finite plasticity with multiplicative kinematics Engineering Computations; Vol. 9; No. 4; https://doi.org/10.1108/eb023876

• Mohan, R.; Ortiz, M. et al. (1992) An analysis of cracks in ductile single crystals—I. Anti-plane shear Journal of the Mechanics and Physics of Solids; Vol. 40; No. 2; https://doi.org/10.1016/S0022-5096(05)80014-6

• Mohan, R.; Ortiz, M. et al. (1992) An analysis of cracks in ductile single crystals—II. Mode I loading Journal of the Mechanics and Physics of Solids; Vol. 40; No. 2; https://doi.org/10.1016/S0022-5096(05)80015-8

• Suo, Z.; Ortiz, M. et al. (1992) Stability of solids with interfaces Journal of the Mechanics and Physics of Solids; Vol. 40; No. 3; https://doi.org/10.1016/0022-5096(92)80006-C

• Ortiz, M. (1991) Discussion on ‘A consistency analysis of a class of concurrent transient implicit/explicit algorithms’, by C. Farhat and N. Sobh Computer Methods in Applied Mechanics and Engineering; Vol. 92; No. 3; https://doi.org/10.1016/0045-7825(91)90024-Z

• Ortiz, M.; Quigley, J. J., IV (1991) Adaptive mesh refinement in strain localization problems Computer Methods in Applied Mechanics and Engineering; Vol. 90; No. 1-3; https://doi.org/10.1016/0045-7825(91)90184-8

• Bower, A. F.; Ortiz, M. (1991) A three-dimensional analysis of crack trapping and bridging by tough particles Journal of the Mechanics and Physics of Solids; Vol. 39; No. 6; https://doi.org/10.1016/0022-5096(91)90026-K

• Needleman, A.; Ortiz, M. (1991) Effect of boundaries and interfaces on shear-band localization International Journal of Solids and Structures; Vol. 28; No. 7; https://doi.org/10.1016/0020-7683(91)90005-Z

• Raiser, G.; Clifton, R. J. et al. (1990) A soft-recovery plate impact experiment for studying microcracking in ceramics Mechanics of Materials; Vol. 10; No. 1-2; https://doi.org/10.1016/0167-6636(90)90016-9

• Ortiz, M.; Giannakopoulos, A. E. (1990) Crack propagation in monolithic ceramics under mixed mode loading International Journal of Fracture; Vol. 44; No. 4; https://doi.org/10.1007/BF00036167

• Leroy, Y.; Ortiz, M. (1990) Finite element analysis of transient strain localization phenomena in frictional solids International Journal for Numerical and Analytical Methods in Geomechanics; Vol. 14; No. 2; https://doi.org/10.1002/nag.1610140203

• Moran, B.; Ortiz, M. et al. (1990) Formulation of implicit finite element methods for multiplicative finite deformation plasticity International Journal for Numerical Methods in Engineering; Vol. 29; No. 3; https://doi.org/10.1002/nme.1620290304

• Ortiz, Michael; Blume, Janet A. (1990) Effect of decohesion and sliding on bimaterial crack-tip fields International Journal of Fracture; Vol. 42; No. 2; https://doi.org/10.1007/BF00018381

• Symington, M.; Ortiz, M. et al. (1990) A finite element method for determining the angular variation of asymptotic crack tip fields International Journal of Fracture; Vol. 45; No. 1; https://doi.org/10.1007/BF00012609

• Ortiz, M.; Giannakopoulos, A. E. (1990) Mixed mode crack-tip fields in monolithic ceramics International Journal of Solids and Structures; Vol. 26; No. 7; https://doi.org/10.1016/0020-7683(90)90002-D

• Bower, A. F.; Ortiz, M. (1990) Solution of three-dimensional crack problems by a finite perturbation method Journal of the Mechanics and Physics of Solids; Vol. 38; No. 4; https://doi.org/10.1016/0022-5096(90)90008-R

• Ortiz, M.; Sotelino, E. D. et al. (1989) Efficiency of group implicit concurrent algorithms for transient finite element analysis International Journal for Numerical Methods in Engineering; Vol. 28; No. 12; https://doi.org/10.1002/nme.1620281204

• Nacar, A.; Needleman, A. et al. (1989) A finite element method for analyzing localization in rate dependent solids at finite strains Computer Methods in Applied Mechanics and Engineering; Vol. 73; No. 3; https://doi.org/10.1016/0045-7825(89)90067-4

• Ortiz, Michael; Martin, John B. (1989) Symmetry-preserving return mapping algorithms and incrementally extremal paths: A unification of concepts International Journal for Numerical Methods in Engineering; Vol. 28; No. 8; https://doi.org/10.1002/nme.1620280810

• Leroy, Y.; Ortiz, M. (1989) Finite element analysis of strain localization in frictional materials International Journal for Numerical and Analytical Methods in Geomechanics; Vol. 13; No. 1; https://doi.org/10.1002/nag.1610130106

• Ortiz, M.; Morris, G. R. (1988) C^0 finite element discretization of Kirchhoff's equations of thin plate bending International Journal for Numerical Methods in Engineering; Vol. 26; No. 7; https://doi.org/10.1002/nme.1620260707

• Ortiz, Michael; Nour-Omid, Bahram et al. (1988) Accuracy of a class of concurrent algorithms for transient finite element analysis International Journal for Numerical Methods in Engineering; Vol. 26; No. 2; https://doi.org/10.1002/nme.1620260207

• Ortiz, M. (1988) Microcrack coalescence and macroscopic crack growth initiation in brittle solids International Journal of Solids and Structures; Vol. 24; No. 3; https://doi.org/10.1016/0020-7683(88)90031-5

• Ortiz, M.; Molinari, A. (1988) Microstructural thermal stresses in ceramic materials Journal of the Mechanics and Physics of Solids; Vol. 36; No. 4; https://doi.org/10.1016/0022-5096(88)90024-5

• Ortiz, M. (1987) An analytical study of the localized failure modes of concrete Mechanics of Materials; Vol. 6; No. 2; https://doi.org/10.1016/0167-6636(87)90006-8

• Ortiz, M. (1987) A Continuum Theory of Crack Shielding in Ceramics Journal of Applied Mechanics; Vol. 54; No. 1; https://doi.org/10.1115/1.3172994

• Ortiz, Michael; Leroy, Yves et al. (1987) A finite element method for localized failure analysis Computer Methods in Applied Mechanics and Engineering; Vol. 61; No. 2; https://doi.org/10.1016/0045-7825(87)90004-1

• Ortiz, M. (1987) A method of homogenization of elastic media International Journal of Engineering Science; Vol. 25; No. 7; https://doi.org/10.1016/0020-7225(87)90125-X

• Molinari, A.; Ortiz, M. (1987) Global viscoelastic behavior of heterogeneous thermoelastic materials International Journal of Solids and Structures; Vol. 23; No. 9; https://doi.org/10.1016/0020-7683(87)90106-5

• Ortiz, Michael; Nour-Omid, Bahram (1986) Unconditionally stable concurrent procedures for transient finite element analysis Computer Methods in Applied Mechanics and Engineering; Vol. 58; No. 2; https://doi.org/10.1016/0045-7825(86)90094-0

• Ortiz, M.; Simo, J. C. (1986) An analysis of a new class of integration algorithms for elastoplastic constitutive relations International Journal for Numerical Methods in Engineering; Vol. 23; No. 3; https://doi.org/10.1002/nme.1620230303

• Ortiz, Michael (1986) A note on energy conservation and stability of nonlinear time-stepping algorithms Computers and Structures; Vol. 24; No. 1; https://doi.org/10.1016/0045-7949(86)90346-9

• Ortiz, M.; Popov, E. P. (1985) Accuracy and stability of integration algorithms for elastoplastic constitutive relations International Journal for Numerical Methods in Engineering; Vol. 21; No. 9; https://doi.org/10.1002/nme.1620210902

• Simo, J. C.; Ortiz, M. (1985) A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations Computer Methods in Applied Mechanics and Engineering; Vol. 49; No. 2; https://doi.org/10.1016/0045-7825(85)90061-1

• Ortiz, Michael (1985) A constitutive theory for the inelastic behavior of concrete Mechanics of Materials; Vol. 4; No. 1; https://doi.org/10.1016/0167-6636(85)90007-9

• Ortiz, M. (1985) A variational formulation for convection-diffusion problems International Journal of Engineering Science; Vol. 23; No. 7; https://doi.org/10.1016/0020-7225(85)90004-7

• Pinsky, Peter M.; Ortiz, Miguel et al. (1983) Numerical integration of rate constitutive equations in finite deformation analysis Computer Methods in Applied Mechanics and Engineering; Vol. 40; No. 2; https://doi.org/10.1016/0045-7825(83)90087-7

• Ortiz, Miguel; Popov, Egor P. (1983) Distortional Hardening Rules for Metal Plasticity Journal of Engineering Mechanics; Vol. 109; No. 4; https://doi.org/10.1061/(ASCE)0733-9399(1983)109:4(1042)

• Ortiz, Miguel; Pinsky, Peter M. et al. (1983) Operator split methods for the numerical solution of the elastoplastic dynamic problem Computer Methods in Applied Mechanics and Engineering; Vol. 39; No. 2; https://doi.org/10.1016/0045-7825(83)90018-X

• Ortiz, Miguel; Pinsky, Peter M. et al. (1983) Unconditionally stable element-by-element algorithms for dynamic problems Computer Methods in Applied Mechanics and Engineering; Vol. 36; No. 2; https://resolver.caltech.edu/CaltechAUTHORS:20180105-153425697

• Pinsky, Peter M.; Ortiz, Miguel et al. (1983) Operator split methods in the numerical solution of the finite deformation elastoplastic dynamic problem Computers and Structures; Vol. 17; No. 3; https://doi.org/10.1016/0045-7949(83)90126-8

• Ortiz, M.; Popov, E. P. (1982) A Physical Model for the Inelasticity of Concrete Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 383; No. 1784; https://doi.org/10.1098/rspa.1982.0123

• Ortiz, Miguel; Popov, Egor P. (1982) Plain concrete as a composite material Mechanics of Materials; Vol. 1; No. 2; https://doi.org/10.1016/0167-6636(82)90042-4

• Ortiz, M.; Popov, E. P. (1982) A Statistical Theory of Polycrystalline Plasticity Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 379; No. 1777; https://doi.org/10.1098/rspa.1982.0025