Ortiz, Michael

Article from CaltechAUTHORS

• Yu, Haiyang and He, Jianying, et el. (2025) A self-consistent void-based rationale for hydrogen embrittlement; Scripta Materialia; Vol. 255; 116403; 10.1016/j.scriptamat.2024.116403
• Prume, E. and Gierden, C., et el. (2025) Direct data-driven algorithms for multiscale mechanics; Computer Methods in Applied Mechanics and Engineering; Vol. 433; 117525; 10.1016/j.cma.2024.117525
• Ulloa, J. and Ariza, M.P., et el. (2025) Homogenized models of mechanical metamaterials; Computer Methods in Applied Mechanics and Engineering; Vol. 433; 117454; 10.1016/j.cma.2024.117454
• Ulloa, J. and Ariza, M. P., et el. (2024) Fracture and size effect in mechanical metamaterials; Journal of the Mechanics and Physics of Solids; Vol. 193; 105860; 10.1016/j.jmps.2024.105860
• Ulloa, Jacinto and Stainier, Laurent, et el. (2024) Data-driven micromorphic mechanics for materials with strain localization; Computer Methods in Applied Mechanics and Engineering; Vol. 429; 117180; 10.1016/j.cma.2024.117180
• Cruzado, A. and Ariza, M. P., et el. (2024) A discrete dislocation analysis of size-dependent plasticity in torsion; Journal of the Mechanics and Physics of Solids; Vol. 190; 105709; 10.1016/j.jmps.2024.105709
• Alfarisy, Dewangga and Zuhal, Lavi, et el. (2024) Point collocation with mollified piecewise polynomial approximants for high‐order partial differential equations; International Journal for Numerical Methods in Engineering; e7548; 10.1002/nme.7548
• Ariza, M. P. and Conti, S., et el. (2024) Homogenization and continuum limit of mechanical metamaterials; Mechanics of Materials; Vol. 196; 105073; 10.1016/j.mechmat.2024.105073
• Pandolfi, A. and Ortiz, M. (2024) Use of effective multiscale cohesive models in the simulation of spall in metal plates; International Journal for Numerical Methods in Engineering; Vol. 125; No. 9; e7446; 10.1002/nme.7446
• Salahshoor, Hossein and Ortiz, Michael (2024) Application of Data-Driven computing to patient-specific prediction of the viscoelastic response of human brain under transcranial ultrasound stimulation; Biomechanics and Modeling in Mechanobiology; 10.1007/s10237-024-01830-w
• Ding, Yu and Yu, Haiyang, et el. (2024) Hydrogen trapping and diffusion in polycrystalline nickel: The spectrum of grain boundary segregation; Journal of Materials Science & Technology; Vol. 173; 225-236; 10.1016/j.jmst.2023.07.027
• Werneck, Linda and Han, Mertcan, et el. (2024) A simple quantitative model of neuromodulation, Part I: Ion flow through neural ion channels; Journal of the Mechanics and Physics of Solids; Vol. 182; 105457; 10.1016/j.jmps.2023.105457
• Ariza, M. P. and Conti, S., et el. (2023) Fractional strain gradient plasticity and ductile fracture of metals; European Journal of Mechanics - A/Solids; 105172; 10.1016/j.euromechsol.2023.105172
• Salahshoor, Hossein and Yao, Yuxing, et el. (2023) Geometric effects in gas vesicle buckling under ultrasound; Biophysical Journal; Vol. 121; No. 21; 4221-4228; PMCID PMC9674984; 10.1016/j.bpj.2022.09.004
• Bulin, J. and Hamaekers, J., et el. (2023) Interatomic-Potential-Free, Data-Driven Molecular Dynamics; Computer Methods in Applied Mechanics and Engineering; Vol. 415; 116224; 10.1016/j.cma.2023.116224
• Ulloa, Jacinto and Gorgogianni, Anna, et el. (2023) Data-driven breakage mechanics: Predicting the evolution of particle-size distribution in granular media; Journal of the Mechanics and Physics of Solids; Vol. 178; 105328; 10.1016/j.jmps.2023.105328
• Conti, Sergio and Hoffmann, Franca, et el. (2023) Convergence rates for ansatz‐free data‐driven inference in physically constrained problems; ZAMM - Journal of Applied Mathematics; Art. No. e202200481; 10.1002/zamm.202200481
• Molinos, M. and Ortiz, Michael, et el. (2023) Atomistic-scale model for the numerical analysis of the hydrogen diffusion on magnesium alloys; Revista española de mecánica de la fractura; Vol. 5; No. 5; 181-186
• Gorgogianni, Anna and Karapiperis, Konstantinos, et el. (2023) Adaptive goal-oriented data sampling in Data-Driven Computational Mechanics; Computer Methods in Applied Mechanics and Engineering; Vol. 409; Art. No. 115949; 10.1016/j.cma.2023.115949
• Wattel, Sacha and Molinari, Jean-François, et el. (2023) Mesh d-refinement: A data-based computational framework to account for complex material response; Mechanics of Materials; Vol. 180; 104630; 10.1016/j.mechmat.2023.104630
• Prume, Erik and Stainier, Laurent, et el. (2023) A data‐driven solver scheme for inelastic problems; PAMM; Vol. 23; No. 1; e202200153; 10.1002/pamm.202200153
• Ahmad, Rasool and Liu, Mingliang, et el. (2023) Computation of effective elastic moduli of rocks using hierarchical homogenization; Journal of the Mechanics and Physics of Solids; Vol. 174; Art. No. 105268; 10.1016/j.jmps.2023.105268
• Phansalkar, Dhananjay and Jadhav, Deepak B., et el. (2023) Extension of the spatially adaptive phase-field model to various forms of fracture; Forces in Mechanics; Vol. 10; 100161; 10.1016/j.finmec.2022.100161
• Conti, Sergio and Hoffmann, Franca, et el. (2023) Model-Free and Prior-Free Data-Driven Inference in Mechanics; Archive for Rational Mechanics and Analysis; Vol. 247; No. 1; Art. No. 7; 10.1007/s00205-022-01836-7
• Salahshoor, Hossein and Ortiz, Michael (2023) Model-free Data-Driven viscoelasticity in the frequency domain; Computer Methods in Applied Mechanics and Engineering; Vol. 403; No. Pt. A; Art. No. 115657; 10.1016/j.cma.2022.115657
• Prume, E. and Reese, S., et el. (2023) Model-free Data-Driven inference in computational mechanics; Computer Methods in Applied Mechanics and Engineering; Vol. 403; Art. No. 115704; 10.1016/j.cma.2022.115704
• Romero, Ignacio and Ortiz, Michael (2023) Extended molecular dynamics: Seamless temporal coarse-graining and transition between deterministic and probabilistic paradigms; European Journal of Mechanics - A/Solids; Vol. 97; 104858; 10.1016/j.euromechsol.2022.104858
• Ding, Yu and Yu, Haiyang, et el. (2022) Hydrogen-enhanced grain boundary vacancy stockpiling causes transgranular to intergranular fracture transition; Acta Materialia; Vol. 239; Art. No. 118279; 10.1016/j.actamat.2022.118279
• Arca, F. and Mendez, J. P., et el. (2022) Strain-tuning of transport gaps and semiconductor-to-conductor phase transition in twinned graphene; Acta Materialia; Vol. 234; Art. No. 117987; 10.1016/j.actamat.2022.117987
• Phansalkar, Dhananjay and Weinberg, Kerstin, et el. (2022) A spatially adaptive phase-field model of fracture; Computer Methods in Applied Mechanics and Engineering; Vol. 395; Art. No. 114880; 10.1016/j.cma.2022.114880
• Courte, Luca and Dondl, Patrick, et el. (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; 317-341; 10.1007/s00205-022-01765-5
• Kovachki, Nikola and Liu, Burigede, et el. (2022) Multiscale modeling of materials: Computing, data science, uncertainty and goal-oriented optimization; Mechanics of Materials; Vol. 165; Art. No. 104156; 10.1016/j.mechmat.2021.104156
• Salahshoor, Hossein and Guo, Hongsun, et el. (2022) Mechanics of ultrasonic neuromodulation in a mouse subject; Extreme Mechanics Letters; Vol. 50; 101539; PMCID PMC10760995; 10.1016/j.eml.2021.101539
• Karapiperis, K. and Ortiz, M., et el. (2021) Data-Driven nonlocal mechanics: Discovering the internal length scales of materials; Computer Methods in Applied Mechanics and Engineering; Vol. 386; Art. No. 114039; 10.1016/j.cma.2021.114039
• Pandolfi, A. and Weinberg, K., et el. (2021) A comparative accuracy and convergence study of eigenerosion and phase-field models of fracture; Computer Methods in Applied Mechanics and Engineering; Vol. 386; Art. No. 114078; 10.1016/j.cma.2021.114078
• Ding, Yu and Yu, Haiyang, et el. (2021) Hydrogen-induced transgranular to intergranular fracture transition in bi-crystalline nickel; Scripta Materialia; Vol. 204; Art. No. 114122; 10.1016/j.scriptamat.2021.114122
• Carrara, P. and Ortiz, M., et el. (2021) Data-driven rate-dependent fracture mechanics; Journal of the Mechanics and Physics of Solids; Vol. 155; Art. No. 104559; 10.1016/j.jmps.2021.104559
• Eggersmann, Robert and Stainier, Laurent, et el. (2021) Efficient data structures for model-free data-driven computational mechanics; Computer Methods in Applied Mechanics and Engineering; Vol. 382; Art. No. 113855; 10.1016/j.cma.2021.113855
• Gupta, Prateek and Ortiz, Michael, et el. (2021) Nonequilibrium thermomechanics of Gaussian phase packet crystals: Application to the quasistatic quasicontinuum method; Journal of the Mechanics and Physics of Solids; Vol. 153; Art. No. 104495; 10.1016/j.jmps.2021.104495
• Liu, Burigede and Sun, Xingsheng, et el. (2021) Hierarchical multiscale quantification of material uncertainty; Journal of the Mechanics and Physics of Solids; Vol. 153; Art. No. 104492; 10.1016/j.jmps.2021.104492
• Platzer, Auriane and Leygue, Adrien, et el. (2021) Finite element solver for data-driven finite strain elasticity; Computer Methods in Applied Mechanics and Engineering; Vol. 379; Art. No. 113756; 10.1016/j.cma.2021.113756
• Ariza, M. P. and Ortiz, M. (2021) A semi-discrete line-free method of monopoles for dislocation dynamics; Extreme Mechanics Letters; Vol. 45; Art. No. 101267; 10.1016/j.eml.2021.101267
• Garcia-Suarez, J. and Asimaki, D., et el. (2021) Applications of the J-integral to dynamical problems in geotechnical engineering; Journal of the Mechanics and Physics of Solids; Vol. 150; Art. No. 104353; 10.1016/j.jmps.2021.104353
• Briccola, D. and Cuni, M., et el. (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; 515-532; 10.1007/s11340-020-00668-4
• Karapiperis, K. and Stainier, L., et el. (2021) Data-Driven Multiscale Modeling in Mechanics; Journal of the Mechanics and Physics of Solids; Vol. 147; Art. No. 104239; 10.1016/j.jmps.2020.104239
• Manav, M. and Ortiz, M. (2021) Molecular dynamics study of the shock response of polyurea; Polymer; Vol. 212; Art. No. 123109; 10.1016/j.polymer.2020.123109
• Eggersmann, Robert and Stainier, Laurent, et el. (2021) Model-free data-driven computational mechanics enhanced by tensor voting; Computer Methods in Applied Mechanics and Engineering; Vol. 373; Art. No. 113499; 10.1016/j.cma.2020.113499
• Febrianto, Eky and Ortiz, Michael, et el. (2021) Mollified finite element approximants of arbitrary order and smoothness; Computer Methods in Applied Mechanics and Engineering; Vol. 373; Art. No. 113513; 10.1016/j.cma.2020.113513
• Carrara, P. and De Lorenzis, L., et el. (2020) Data-driven fracture mechanics; Computer Methods in Applied Mechanics and Engineering; Vol. 372; Art. No. 113390; 10.1016/j.cma.2020.113390
• Arca, F. and Mendez, J. P., et el. (2020) Charge-carrier transmission across twins in graphene; Journal of Physics: Condensed Matter; Vol. 32; No. 42; Art. No. 425003; 10.1088/1361-648x/aba0d9
• Salahshoor, Hossein and Shapiro, Mikhail G., et el. (2020) Transcranial Focused Ultrasound Generates Skull-Conducted Shear Waves: Computational Model and Implications for Neuromodulation; Applied Physics Letters; Vol. 117; No. 3; Art. No. 033702; PMCID PMC7386437; 10.1063/5.0011837
• Schill, W. and Mendez, J. P., et el. (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; Art. No. 103940; 10.1016/j.jmps.2020.103940
• Conti, S. and Müller, S., et el. (2020) Data-Driven Finite Elasticity; Archive for Rational Mechanics and Analysis; Vol. 237; No. 1; 1-33; 10.1007/s00205-020-01490-x
• Weinberg, Kerstin and Ortiz, Michael (2020) Ice Penetration by a Bluff-Body Melting Probe; Journal of Applied Mechanics; Vol. 87; No. 6; Art. No. 061003; 10.1115/1.4046633
• Wu, Jianyang and He, Jianying, et el. (2020) Supergiant elasticity and fracture of 3D spirally wound MoS₂; International Journal of Fracture; Vol. 223; 39-52; 10.1007/s10704-020-00427-5
• Ríos, J. D. and Cifuentes, H., et el. (2020) Effect of polypropylene fibers on the fracture behavior of heated ultra-high performance concrete; International Journal of Fracture; Vol. 223; No. 1-2; 173-187; 10.1007/s10704-019-00407-4
• Ponga, Mauricio and Bhattacharya, Kaushik, et el. (2020) Large scale ab-initio simulations of dislocations; Journal of Computational Physics; Vol. 407; Art. No. 109249; 10.1016/j.jcp.2020.109249
• Schibber, E. F. and Mittelstein, D. R., et el. (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; Art. No. 20190692; PMCID PMC7209139; 10.1098/rspa.2019.0692
• Arca, F. and Mendez, J. P., et el. (2020) Spontaneous twinning as an accommodation mechanism in monolayer graphene; European Journal of Mechanics - A/Solids; Vol. 80; Art. No. 103923; 10.1016/j.euromechsol.2019.103923
• Dahlberg, Carl F. O. and 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; Art. No. 031017; 10.1115/1.4045872
• Conti, S. and Müller, S., et el. (2020) Symmetric Div-Quasiconvexity and the Relaxation of Static Problems; Archive for Rational Mechanics and Analysis; Vol. 235; No. 2; 841-880; 10.1007/s00205-019-01433-1
• Sun, X. and Kirchdoerfer, T., et el. (2020) Rigorous Uncertainty Quantification and Design with Uncertain Material Models; International Journal of Impact Engineering; Vol. 136; Art. No. 103418; 10.1016/j.ijimpeng.2019.103418
• Mittelstein, David R. and Ye, Jian, et el. (2020) Selective Ablation of Cancer Cells with Low Intensity Pulsed Ultrasound; Applied Physics Letters; Vol. 116; No. 1; Art. No. 013701; 10.1063/1.5128627
• Stainier, Laurent and Leygue, Adrien, et el. (2019) Model-free data-driven methods in mechanics: material data identification and solvers; Computational Mechanics; Vol. 64; No. 2; 381-393; 10.1007/s00466-019-01731-1
• Arca, Francisco and Mendez, Juan Pedro, et el. (2019) Steric Interference in Bilayer Graphene with Point Dislocations; Nanomaterials; Vol. 9; No. 7; Art. No. 1012; PMCID PMC6669646; 10.3390/nano9071012
• Eggersmann, R. and Kirchdoerfer, T, et el. (2019) Model-Free Data-Driven inelasticity; Computer Methods in Applied Mechanics and Engineering; Vol. 350; 81-99; 10.1016/j.cma.2019.02.016
• Wu, Jianyang and Gong, Hao, et el. (2019) Topology and polarity of dislocation cores dictate the mechanical strength of monolayer MoS_2; Applied Materials Today; Vol. 15; 34-42; 10.1016/j.apmt.2018.12.019
• Heyden, S. and Ortiz, M. (2019) Functional optimality of the sulcus pattern of the human brain; Mathematical Medicine and Biology; Vol. 36; No. 2; 207-221; 10.1093/imammb/dqy007
• Dahlberg, C. F. O. and Ortiz, M. (2019) Fractional strain-gradient plasticity; European Journal of Mechanics - A/Solids; Vol. 75; 348-354; 10.1016/j.euromechsol.2019.02.006
• Sun, X. and Ariza, M. P., et el. (2019) Atomistic Modeling and Analysis of Hydride Phase Transformation in Palladium Nanoparticles; Journal of the Mechanics and Physics of Solids; Vol. 125; 360-383; 10.1016/j.jmps.2019.01.006
• Kirchdoerfer, Trenton and Ortiz, Michael, et el. (2019) Topology Optimization of Solid Rocket Fuel; AIAA Journal; Vol. 57; No. 4; 1684-1690; 10.2514/1.J057807
• Deffo, A. and Ariza, M. P., et el. (2019) A line-free method of monopoles for 3D dislocation dynamics; Journal of the Mechanics and Physics of Solids; Vol. 122; 566-589; 10.1016/j.jmps.2018.09.001
• Ortiz, Michael and Schmidt, Bernd, et el. (2018) A variational approach to Navier-Stokes; Nonlinearity; Vol. 31; No. 12; Art. No. 5664; 10.1088/1361-6544/aae722
• Reina, Celia and Fokoua Djodom, Landry, et el. (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; 99-113; 10.1016/j.jmps.2018.07.006
• Heyden, S. and 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; Art. No. 20180527; 10.1098/rspa.2018.0527
• Stebner, Aaron P. and Wehrenberg, Christopher, et el. (2018) Strength of tantalum shocked at ultrahigh pressures; Materials Science and Engineering A; Vol. 732; 220-227; 10.1016/j.msea.2018.06.105
• Mendez, J. P. and Arca, F., et el. (2018) Charge carrier transport across grain boundaries in graphene; Acta Materialia; Vol. 154; 199-206; 10.1016/j.actamat.2018.05.019
• Conti, S. and Müller, S., et el. (2018) Data-Driven Problems in Elasticity; Archive for Rational Mechanics and Analysis; Vol. 229; No. 1; 79-123; 10.1007/s00205-017-1214-0
• Mendez, J. P. and Ponga, M., et el. (2018) Diffusive molecular dynamics simulations of lithiation of silicon nanopillars; Journal of the Mechanics and Physics of Solids; Vol. 115; 123-141; 10.1016/j.jmps.2018.03.008
• Kirchdoerfer, T. and Liebscher, A., et el. (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; 357-365; 10.1016/j.compstruct.2017.11.061
• Schill, W. and Heyden, S., et el. (2018) The anomalous yield behavior of fused silica glass; Journal of the Mechanics and Physics of Solids; Vol. 113; 105-125; 10.1016/j.jmps.2018.01.004
• Kirchdoerfer, T. and Ortiz, M. (2018) Data-Driven Computing in Dynamics; International Journal for Numerical Methods in Engineering; Vol. 113; No. 11; 1697-1710; 10.1002/nme.5716
• Sun, Xingsheng and Ariza, Pilar, et el. (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; 5657-5667; 10.1016/j.ijhydene.2018.01.169
• Sun, D. and Ponga, M., et el. (2018) Proliferation of twinning in hexagonal close-packed metals: Application to magnesium; Journal of the Mechanics and Physics of Solids; Vol. 112; 368-384; 10.1016/j.jmps.2017.12.009
• Sun, X. and Ariza, M. P., et el. (2017) Acceleration of diffusive molecular dynamics simulations through mean field approximation and subcycling time integration; Journal of Computational Physics; Vol. 350; 470-492; 10.1016/j.jcp.2017.08.069
• Fedeli, L. and Pandolfi, A., et el. (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; 1175-1193; 10.1002/nme.5552
• Kirchdoerfer, T. and Ortiz, M. (2017) Data Driven Computing with Noisy Material Data Sets; Computer Methods in Applied Mechanics and Engineering; Vol. 326; 622-641; 10.1016/j.cma.2017.07.039
• Ponga, M. and Ortiz, M., et el. (2017) A comparative study of nanovoid growth in FCC metals; Philosophical Magazine; Vol. 97; No. 32; 2985-3007; 10.1080/14786435.2017.1364437
• De Bellis, Maria Laura and Della Vecchia, Gabriele, et el. (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; 12-31; 10.1016/j.jmps.2017.03.017
• Briccola, Deborah and Ortiz, Michael, et el. (2017) Experimental Validation of Metaconcrete Blast Mitigation Properties; Journal of Applied Mechanics; Vol. 84; No. 3; Art. No. 031001; 10.1115/1.4035259
• Heyden, S. and Ortiz, M. (2017) Investigation of the influence of viscoelasticity on oncotripsy; Computer Methods in Applied Mechanics and Engineering; Vol. 314; 314-322; 10.1016/j.cma.2016.08.026
• Motamarri, Phani and Gavini, Vikram, et el. (2017) Spectrum-splitting approach for Fermi-operator expansion in all-electron Kohn-Sham DFT calculations; Physical Review B; Vol. 95; No. 3; Art. No. 035111; 10.1103/PhysRevB.95.035111
• Balzani, D. and Schmidt, T., et el. (2017) Method for the quantification of rupture probability in soft collagenous tissues; International Journal for Numerical Methods in Biomedical Engineering; Vol. 33; No. 1; Art. No. e02781; 10.1002/cnm.2781
• De Bellis, M. L. and Della Vecchia, G., et el. (2016) A linearized porous brittle damage material model with distributed frictional-cohesive faults; Engineering Geology; Vol. 215; 10-24; 10.1016/j.enggeo.2016.10.010
• Heyden, S. and Ortiz, M., et el. (2016) All-atom molecular dynamics simulations of multiphase segregated polyurea under quasistatic, adiabatic, uniaxial compression; Polymer; Vol. 106; 100-108; 10.1016/j.polymer.2016.10.053
• Ponga, M. and Bhattacharya, K., et el. (2016) A sublinear-scaling approach to density-functional-theory analysis of crystal defects; Journal of the Mechanics and Physics of Solids; Vol. 95; 530-556; 10.1016/j.jmps.2016.05.029
• Natsiavas, P. P. and Weinberg, K., et el. (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; 92-111; 10.1016/j.jmps.2016.05.007
• Mitchell, Sarah L. and Ortiz, Michael (2016) Computational multiobjective topology optimization of silicon anode structures for lithium-ion batteries; Journal of Power Sources; Vol. 326; 242-251; 10.1016/j.jpowsour.2016.06.136
• Runnels, Brandon and Beyerlein, Irene J., et el. (2016) A relaxation method for the energy and morphology of grain boundaries and interfaces; Journal of the Mechanics and Physics of Solids; Vol. 94; 388-408; 10.1016/j.jmps.2015.11.007
• Wang, Xin-Cindy and Blesgen, Thomas, et el. (2016) A Variational Framework for Spectral Approximations of Kohn–Sham Density Functional Theory; Archive for Rational Mechanics and Analysis; Vol. 221; No. 2; 1035-1075; 10.1007/s00205-016-0978-y
• Ponga, Mauricio and Ramabathiran, Amuthan A., et el. (2016) Dynamic behavior of nano-voids in magnesium under hydrostatic tensile stress; Modelling and Simulation in Materials Science and Engineering; Vol. 24; No. 6; Art. No. 065003; 10.1088/0965-0393/24/6/065003
• Heyden, S. and Ortiz, M. (2016) Oncotripsy: Targeting cancer cells selectively via resonant harmonic excitation; Journal of the Mechanics and Physics of Solids; Vol. 92; 164-175; 10.1016/j.jmps.2016.04.016
• Kirchdoerfer, T. and Ortiz, M. (2016) Data-driven computational mechanics; Computer Methods in Applied Mechanics and Engineering; Vol. 304; 81-101; 10.1016/j.cma.2016.02.001
• Runnels, Brandon and Beyerlein, Irene J., et el. (2016) An analytical model of interfacial energy based on a lattice-matching interatomic energy; Journal of the Mechanics and Physics of Solids; Vol. 89; 174-193; 10.1016/j.jmps.2016.01.008
• Gonzalez-Ferreiro, B. and Romero, I., et el. (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; Art. No. 045011; 10.1088/0965-0393/24/4/045011
• Mitchell, Stephanie J. and Pandolfi, Anna, et el. (2016) Effect of Brittle Fracture in a Metaconcrete Slab under Shock Loading; Journal of Engineering Mechanics; Vol. 142; No. 4; Art. No. 04016010; 10.1061/(ASCE)EM.1943-7889.0001034
• Conti, Sergio and Ortiz, Michael (2016) Optimal Scaling in Solids Undergoing Ductile Fracture by Crazing; Archive for Rational Mechanics and Analysis; Vol. 219; No. 2; 607-636; 10.1007/s00205-015-0901-y
• Heyden, Stefanie and Nagler, Andreas, et el. (2015) Material modeling of cardiac valve tissue: Experiments, constitutive analysis and numerical investigation; Journal of Biomechanics; Vol. 48; No. 16; 4287-4296; 10.1016/j.jbiomech.2015.10.043
• Mitchell, Stephanie J. and Pandolfi, Anna, et el. (2015) Investigation of elastic wave transmission in a metaconcrete slab; Mechanics of Materials; Vol. 91; 295-303; 10.1016/j.mechmat.2015.08.004
• Heyden, S. and Conti, S., et el. (2015) A nonlocal model of fracture by crazing in polymers; Mechanics of Materials; Vol. 90; 131-139; 10.1016/j.mechmat.2015.02.006
• Conti, Sergio and Garroni, Adriana, et el. (2015) The Line-Tension Approximation as the Dilute Limit of Linear-Elastic Dislocations; Archive for Rational Mechanics and Analysis; Vol. 218; No. 2; 699-755; 10.1007/s00205-015-0869-7
• Ponga, M. and Ortiz, M., et el. (2015) Finite-temperature non-equilibrium quasi-continuum analysis of nanovoid growth in copper at low and high strain rates; Mechanics of Materials; Vol. 90; 253-267; 10.1016/j.mechmat.2015.02.007
• Martin, C. S. and Ariza, M. P., et el. (2015) Modeling thermal conductivity in silicon nanowires; GAMM-Mitteilungen; Vol. 38; No. 2; 201-212; 10.1002/gamm.201510011
• Klusemann, B. and 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; 256-274; 10.1002/nme.4887
• Baskes, M. I. and Ortiz, M. (2015) Scaling Laws in the Ductile Fracture of Metallic Crystals; Journal of Applied Mechanics; Vol. 82; No. 7; Art. No. 071003; 10.1115/1.4030329
• Wang, K. G. and Ortiz, M., et el. (2015) Long-term atomistic simulation of hydrogen diffusion in metals; International Journal of Hydrogen Energy; Vol. 40; No. 15; 5353-5358; 10.1016/j.ijhydene.2015.01.110
• Li, B. and Pandolfi, A., et el. (2015) Material-point erosion simulation of dynamic fragmentation of metals; Mechanics of Materials; Vol. 80; 288-297; 10.1016/j.mechmat.2014.03.008
• Heyden, S. and Li, B., et el. (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; 175-195; 10.1016/j.jmps.2014.08.005
• Johnson, G. and Leyendecker, S., et el. (2014) Discontinuous variational time integrators for complex multibody collisions; International Journal for Numerical Methods in Engineering; Vol. 100; No. 12; 871-913; 10.1002/nme.4764
• Venturini, G. and Wang, K., et el. (2014) Atomistic long-term simulation of heat and mass transport; Journal of the Mechanics and Physics of Solids; Vol. 73; 242-268; 10.1016/j.jmps.2014.09.008
• Balzani, Daniel and Schmidt, Thomas, et el. (2014) Calculation of Optimal Bounds on the Probability of Failure of Soft Biological Tissues; Proceedings in Applied Mathematics and Mechanics; Vol. 14; No. 1; 93-94; 10.1002/pamm.201410034
• Kamga, P.-H. T. and Li, B., et el. (2014) Optimal uncertainty quantification with model uncertainty and legacy data; Journal of the Mechanics and Physics of Solids; Vol. 72; 1-19; 10.1016/j.jmps.2014.07.007
• Ariza, M. P. and Wang, K. G., et el. (2014) Atomistic Models of Long-Term Hydrogen Diffusion in Metals; Advances in Science and Technology; Vol. 93; 118-123; 10.4028/www.scientific.net/AST.93.118
• Li, B. and Stalzer, M., et el. (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; 40-61; 10.1002/nme.4710
• Fokoua, Landry and Conti, Sergio, et el. (2014) Optimal Scaling in Solids Undergoing Ductile Fracture by Void Sheet Formation; Archive for Rational Mechanics and Analysis; Vol. 212; No. 1; 331-357; 10.1007/s00205-013-0687-8
• Mitchell, Stephanie J. and Pandolfi, Anna, et el. (2014) Metaconcrete: designed aggregates to enhance dynamic performance; Journal of the Mechanics and Physics of Solids; Vol. 65; 69-81; 10.1016/j.jmps.2014.01.003
• Hurtado, D. E. and Stainier, L., et el. (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; 298-312; 10.1002/nme.4600
• Fokoua, Landry and Conti, Sergio, et el. (2014) Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity; Journal of the Mechanics and Physics of Solids; Vol. 62; 295-311; 10.1016/j.jmps.2013.11.002
• Perotti, L. E. and Bompadre, A., et el. (2013) Automatically inf-sup compliant diamond-mixed finite elements for Kirchhoff plates; International Journal for Numerical Methods in Engineering; Vol. 96; No. 7; 405-424; 10.1002/nme.4555
• Sullivan, T. J. and McKerns, M., et el. (2013) Optimal Uncertainty Quantification for Legacy Data Observations of Lipschitz Functions; ESAIM-Mathematical Modelling and Numerical Analysis; Vol. 47; No. 6; 1657-1689; 10.1051/m2an/2013083
• Pandolfi, A. and Li, B., et el. (2013) Modeling fracture by material-point erosion; International Journal of Fracture; Vol. 184; No. 1-2; 3-16; 10.1007/s10704-012-9788-x
• Español, Malena I. and Kochmann, Dennis M., et el. (2013) A Γ-Convergence Analysis of the Quasicontinuum Method; Multiscale Modeling and Simulation; Vol. 11; No. 3; 766-794; 10.1137/120895354
• Owhadi, H. and Scovel, C., et el. (2013) Optimal Uncertainty Quantification; SIAM Review; Vol. 55; No. 2; 271-345; 10.1137/10080782X
• Reina, Celia and Li, Bo, et el. (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; 575-611; 10.1002/nme.4397
• Sullivan, T. J. and Koslowski, M., et el. (2013) Thermalization of rate-independent processes by entropic regularization; Discrete and Continuous Dynamical Systems Series S; Vol. 6; No. 1; 215-233; 10.3934/dcdss.2013.6.215
• Perotti, L. E. and Deiterding, R., et el. (2013) Elastic response of water-filled fiber composite tubes under shock wave loading; International Journal of Solids and Structures; Vol. 50; No. 3-4; 473-486; 10.1016/j.ijsolstr.2012.10.015
• Hurtado, Daniel E. and Ortiz, Michael (2013) Finite element analysis of geometrically necessary dislocations in crystal plasticity; International Journal for Numerical Methods in Engineering; Vol. 93; No. 1; 66-79; 10.1002/nme.4376
• Suryanarayana, Phanish and Bhattacharya, Kaushik, et el. (2013) Coarse-graining Kohn-Sham Density Functional Theory; Journal of the Mechanics and Physics of Solids; Vol. 61; No. 1; 38-60; 10.1016/j.jmps.2012.09.002
• Suryanarayana, Phanish and Bhattacharya, Kaushik, et el. (2013) Coarse-graining Kohn–Sham Density Functional Theory; Journal of the Mechanics and Physics of Solids; Vol. 61; No. 1; 38-60; 10.1016/j.jmps.2012.09.002
• Li, B. and Perotti, L., et el. (2013) Large scale Optimal Transportation Meshfree (OTM) Simulations of Hypervelocity Impact; Procedia Engineering; Vol. 58; 320-327; 10.1016/j.proeng.2013.05.036
• Pandolfi, A. and Ortiz, M. (2012) An eigenerosion approach to brittle fracture; International Journal for Numerical Methods in Engineering; Vol. 92; No. 8; 694-714; 10.1002/nme.4352
• Balzani, Daniel and 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; 551-570; 10.1002/nme.4351
• Johnson, G. and Ortiz, M., et el. (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; 49-67; 10.1016/j.cma.2012.04.006
• Hurtado, Daniel E. and 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; 1432-1446; 10.1016/j.jmps.2012.04.009
• Ariza, M. P. and Serrano, R., et el. (2012) Stacking faults and partial dislocations in graphene; Philosophical Magazine; Vol. 92; No. 16; 2004-2021; 10.1080/14786435.2012.657254
• Bompadre, A. and Schmidt, B., et el. (2012) Convergence Analysis of Meshfree Approximation Schemes; SIAM Journal on Numerical Analysis; Vol. 50; No. 3; 1344-1366; 10.1137/110828745
• Bompadre, A. and Perotti, L. E., et el. (2012) Convergent meshfree approximation schemes of arbitrary order and smoothness; Computer Methods in Applied Mechanics and Engineering; Vol. 221-222; 83-103; 10.1016/j.cma.2012.01.020
• Kidane, A. and Lashgari, A., et el. (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; 983-1001; 10.1016/j.jmps.2011.12.001
• Adams, M. and Lashgari, A., et el. (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; 1002-1019; 10.1016/j.jmps.2011.12.002
• Li, B. and Kidane, A., et el. (2012) Verification and validation of the Optimal Transportation Meshfree (OTM) simulation of terminal ballistics; International Journal of Impact Engineering; Vol. 42; 25-36; 10.1016/j.ijimpeng.2011.11.003
• Ariza, M. P. and Romero, I., et el. (2012) HotQC simulation of nanovoid growth under tension in copper; International Journal of Fracture; Vol. 174; No. 1; 75-85; 10.1007/s10704-011-9660-4
• Ariza, M. P. and Tellechea, E., et el. (2012) Double kink mechanisms for discrete dislocations in BCC crystals; International Journal of Fracture; Vol. 174; No. 1; 29-40; 10.1007/s10704-012-9681-7
• Gonzalez, Marcial and Yang, Jinkyu, et el. (2012) Mesoscopic approach to granular crystal dynamics; Physical Review E; Vol. 85; No. 1; Art. No. 016604; 10.1103/PhysRevE.85.016604
• Venturini, G. and Marian, J., et el. (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; 1-11
• Kochmann, Dennis M. and Amelang, Jeffrey S., et el. (2011) From atomistics to the continuum: a mesh-free quasicontinuum formulation based on local max-ent approximation schemes; PAMM; Vol. 11; No. 1; 393-394; 10.1002/pamm.201110188
• Venturini, G. and Yang, J. Z., et el. (2011) Replica time integrators; International Journal for Numerical Methods in Engineering; Vol. 88; No. 6; 586-611; 10.1002/nme.3202
• Reina, C. and Marian, J., et el. (2011) Nanovoid nucleation by vacancy aggregation and vacancy-cluster coarsening in high-purity metallic single crystals; Physical Review B; Vol. 84; No. 10; 104117; 10.1103/PhysRevB.84.104117
• Topcu, U. and Lucas, L. J., et el. (2011) Rigorous uncertainty quantification without integral testing; Reliability Engineering and System Safety; Vol. 96; No. 9; 1085-1091; 10.1016/j.ress.2010.07.013
• Suryanarayana, Phanish and Bhattacharya, Kaushik, et el. (2011) A mesh-free convex approximation scheme for Kohn–Sham density functional theory; Journal of Computational Physics; Vol. 230; No. 13; 5226-5238; 10.1016/j.jcp.2011.03.018
• Rimoli, J. J. and Ortiz, M. (2011) A duality-based method for generating geometric representations of polycrystals; International Journal for Numerical Methods in Engineering; Vol. 86; No. 9; 1069-1081; 10.1002/nme.3090
• Jung, Pascal and Leyendecker, Sigrid, et el. (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; 31-60; 10.1002/nme.2950
• Ariza, M. P. and Ventura, C., et el. (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; 105-116
• Gonzalez, M. and Schmidt, B., et el. (2010) Force-stepping integrators in Lagrangian mechanics; International Journal for Numerical Methods in Engineering; Vol. 84; No. 12; 1407-1450; 10.1002/nme.2942
• Hill, D. J. and Pullin, D., et el. (2010) An Eulerian hybrid WENO centered-difference solver for elastic-plastic solids; Journal of Computational Physics; Vol. 229; No. 24; 9053-9072; 10.1016/j.jcp.2010.08.020
• Ariza, M. P. and Ortiz, M., et el. (2010) Long-term dynamic stability of discrete dislocations in graphene at finite temperature; International Journal of Fracture; Vol. 166; No. 1-2; 215-223; 10.1007/s10704-010-9527-0
• Fraternali, Fernando and Negri, Matteo, et el. (2010) On the convergence of 3D free discontinuity models in variational fracture; International Journal of Fracture; Vol. 166; No. 1-2; 3-11; 10.1007/s10704-010-9462-0
• Leyendecker, S. and Ober-Bloebaum, S., et el. (2010) Discrete mechanics and optimal control for constrained systems; Optimal Control Applications and Methods; Vol. 31; No. 6; 505-528; 10.1002/oca.912
• Bjerkén, C. and Ortiz, M. (2010) Evolution of anodic stress corrosion cracking in a coated material; International Journal of Fracture; Vol. 165; No. 2; 211-221; 10.1007/s10704-010-9514-5
• Li, B. and Habbal, F., et el. (2010) Optimal transportation meshfree approximation schemes for fluid and plastic flows; International Journal for Numerical Methods in Engineering; Vol. 83; No. 12; 1541-1579; 10.1002/nme.2869
• Leyendecker, Sigrid and Lucas, Leonard J., et el. (2010) Optimal Control Strategies for Robust Certification; Journal of Computational and Nonlinear Dynamics; Vol. 5; No. 3; Art. No. 031008; 10.1115/1.4001375
• Hansen, B. L. and Bronkhorst, C. A., et el. (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; Art. No. 055001; 10.1088/0965-0393/18/5/055001
• Ariza, M. P. and Ortiz, M. (2010) Discrete dislocations in graphene; Journal of the Mechanics and Physics of Solids; Vol. 58; No. 5; 710-734; 10.1016/j.jmps.2010.02.008
• Gonzalez, M. and Schmidt, B., et el. (2010) Energy-stepping integrators in Lagrangian mechanics; International Journal for Numerical Methods in Engineering; Vol. 82; No. 2; 205-241; 10.1002/nme.2753
• Abraham, J. and Abreu, P., et el. (2010) Measurement of the Depth of Maximum of Extensive Air Showers above 10^(18) eV; Physical Review Letters; Vol. 104; No. 9; Art. No.091101; 10.1103/PhysRevLett.104.091101
• Stainier, L. and 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; 705-715; 10.1016/j.ijsolstr.2009.11.012
• Suryanarayana, Phanish and Vikram, Gavini, et el. (2010) Non-periodic finite-element formulation of Kohn–Sham density functional theory; Journal of the Mechanics and Physics of Solids; Vol. 58; No. 2; 256-280; 10.1016/j.jmps.2009.10.002
• Rimoli, J. J. and Gürses, E., et el. (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; 014112; 10.1103/PhysRevB.81.014112
• Marian, J. and Venturini, G., et el. (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; Art. No. 015003; 10.1088/0965-0393/18/1/015003
• Rimoli, J. J. and Ortiz, M. (2010) A three-dimensional multiscale model of intergranular hydrogen-assisted cracking; Philosophical Magazine; Vol. 90; No. 21; 2939-2963; 10.1080/14786431003752134
• Cyron, C. J. and Arroyo, M., et el. (2009) Smooth, second order, non-negative meshfree approximants selected by maximum entropy; International Journal for Numerical Methods in Engineering; Vol. 79; No. 13; 1605-1632; 10.1002/nme.2597
• Abraham, J. and Abreu, P., et el. (2009) Atmospheric effects on extensive air showers observed with the surface detector of the Pierre Auger observatory; Astroparticle Physics; Vol. 32; No. 2; 89-99; 10.1016/j.astropartphys.2009.06.004
• Larsen, C. J. and Ortiz, M., et el. (2009) Fracture Paths from Front Kinetics: Relaxation and Rate Independence; Archive for Rational Mechanics and Analysis; Vol. 193; No. 3; 539-583; 10.1007/s00205-009-0216-y
• Weinberg, Kerstin and 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; 285-299; 10.1007/s10237-008-0135-0
• Sullivan, T. and Koslowski, M., et el. (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; 1058-1077; 10.1016/j.jmps.2009.03.006
• Chalivendra, Vijaya B. and Hong, Soosung, et el. (2009) Experimental validation of large-scale simulations of dynamic fracture along weak planes; International Journal of Impact Engineering; Vol. 36; No. 7; 888-898; 10.1016/j.ijimpeng.2008.11.009
• Pandolfi, Anna and Ortiz, Michael (2009) A numerical model of light adjustable lens; Computational Mechanics; Vol. 44; No. 1; 133-143; 10.1007/s00466-008-0361-4
• Schmidt, Bernd and Leyendecker, Sigrid, et el. (2009) Γ-convergence of Variational Integrators for Constrained Systems; Journal of Nonlinear Science; Vol. 19; No. 2; 153-177; 10.1007/s00332-008-9030-1
• El Sayed, T. and Mock, Willis, Jr., et el. (2009) Computational assessment of ballistic impact on a high strength structural steel/polyurea composite plate; Computational Mechanics; Vol. 43; No. 4; 525-534; 10.1007/s00466-008-0327-6
• Schmidt, Bernd and Fraternali, Fernando, et el. (2009) Eigenfracture: An Eigendeformation Approach to Variational Fracture; Multiscale Modeling and Simulation; Vol. 7; No. 3; 1237-1266; 10.1137/080712568
• Mosler, J. and 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; 437-450; 10.1002/nme.2428
• Lucas, L. J. and Owhadi, H., et el. (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; 4591-4609; 10.1016/j.cma.2008.06.008
• El Sayed, Tamer and Mota, Alejandro, et el. (2008) Biomechanics of traumatic brain injury; Computer Methods in Applied Mechanics and Engineering; Vol. 197; No. 51-52; 4692-4701; 10.1016/j.cma.2008.06.006
• Ramasubramaniam, A. and Itakura, M., et el. (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; 2757-2773; 10.1557/JMR.2008.0340
• Leyendecker, Sigrid and Marsden, Jerrold E., et el. (2008) Variational integrators for constrained dynamical systems; Zeitschrift für Angewandte Mathematik und Mechanik; Vol. 88; No. 9; 677-708; 10.1002/zamm.200700173
• Mielke, Alexander and 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; 494-516; 10.1051/cocv:2007064
• Zielonka, M. G. and Ortiz, M., et el. (2008) Variational r-adaption in elastodynamics; International Journal for Numerical Methods in Engineering; Vol. 74; No. 7; 1162-1197; 10.1002/nme.2205
• Conti, S. and 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; 1885-1904; 10.1016/j.jmps.2007.11.006
• Kulkarni, Yashashree and Knapp, Jaroslaw, et el. (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; 1417-1449; 10.1016/j.jmps.2007.09.005
• Mota, Alejandro and Knap, Jaroslaw, et el. (2008) Fracture and fragmentation of simplicial finite element meshes using graphs; International Journal for Numerical Methods in Engineering; Vol. 73; No. 11; 1547-1570; 10.1002/nme.2135
• Pandolfi, Anna and Ortiz, Michael (2008) Numerical Analysis of Elastomeric Fluidic Microvalves; Sensor Letters; Vol. 6; No. 1; 43-48; 10.1166/sl.2008.002
• El Sayed, Tamer and Mota, Alejandro, et el. (2008) A variational constitutive model for soft biological tissues; Journal of Biomechanics; Vol. 41; No. 7; 1458-1466; 10.1016/j.jbiomech.2008.02.023
• Gavirini, Vikram and Bhattacharya, Kaushik, et el. (2007) Vacancy clustering and prismatic dislocation loop formation in aluminum; Physical Review B; Vol. 76; No. 18; Art. No. 180101; 10.1103/PhysRevB.76.180101
• Mosler, J. and Ortiz, M. (2007) Variational h-adaption in finite deformation elasticity and plasticity; International Journal for Numerical Methods in Engineering; Vol. 72; No. 5; 505-523; 10.1002/nme.2011
• Hauret, P. and Kuhl, E., et el. (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; 253-294; 10.1002/nme.1992
• Fortunelli, A. and Ortiz, M. (2007) Constitutive model for plasticity in an amorphous polycarbonate; Physical Review E; Vol. 76; No. 4; Art. No. 041806; 10.1103/PhysRevE.76.041806
• Yavari, A. and Ortiz, M., et el. (2007) Anharmonic lattice statics analysis of 180º and 90º ferroelectric domain walls in PbTiO_3; Philosophical Magazine; Vol. 87; No. 26; 3997-4026; 10.1080/14786430701418956
• Arias, Irene and Knap, Jaroslaw, et el. (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; 3833-3840; 10.1016/j.cma.2006.10.052
• Pandolfi, Anna and Ortiz, Michael (2007) Improved design of low-pressure fluidic microvalves; Journal of Micromechanics and Microengineering; Vol. 17; No. 8; 1487-1493; 10.1088/0960-1317/17/8/010
• Gavini, Vikram and Bhattacharya, Kaushik, et el. (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; 697-718; 10.1016/j.jmps.2007.01.012
• Gavini, Vikram and Knap, Jaroslaw, et el. (2007) Non-periodic finite-element formulation of orbital-free density functional theory; Journal of the Mechanics and Physics of Solids; Vol. 55; No. 4; 669-696; 10.1016/j.jmps.2006.09.011
• Conti, Sergio and Hauret, Patrice, et el. (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; 135-157; 10.1137/060662332
• Ramasubramaniam, A. and Ariza, M. P., et el. (2007) A discrete mechanics approach to dislocation dynamics in BCC crystals; Journal of the Mechanics and Physics of Solids; Vol. 55; No. 3; 615-647; 10.1016/j.jmps.2006.08.005
• Yavari, Arash and Ortiz, Michael, et el. (2007) A theory of anharmonic lattice statics for analysis of defective crystals; Journal of Elasticity; Vol. 86; No. 1; 41-83; 10.1007/s10659-006-9079-8
• Pandolfi, A. and Conti, S., et el. (2006) A recursive-faulting model of distributed damage in confined brittle materials; Journal of the Mechanics and Physics of Solids; Vol. 54; No. 9; 1972-2003; 10.1016/j.jmps.2006.02.003
• Mosler, J. and 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; 1272-1289; 10.1002/nme.1621
• Hauret, Patrice and Ortiz, Michael (2006) BV estimates for mortar methods in linear elasticity; Computer Methods in Applied Mechanics and Engineering; Vol. 195; No. 37-40; 4783-4793; 10.1016/j.cma.2005.09.021
• Hayes, Robin L. and Ho, Gregory, et el. (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; 2343-2358; 10.1080/14786430500525829
• Lew, A. and Caspersen, K., et el. (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; 1276-1303; 10.1016/j.jmps.2005.11.009
• Braides, Andrea and Lew, Adrian J., et el. (2006) Effective Cohesive Behavior of Layers of Interatomic Planes; Archive for Rational Mechanics and Analysis; Vol. 180; No. 2; 151-182; 10.1007/s00205-005-0399-9
• Yavari, Arash and Marsden, Jerrold E., et el. (2006) On spatial and material covariant balance laws in elasticity; Journal of Mathematical Physics; Vol. 47; No. 4; Art. No. 042903; 10.1063/1.2190827
• Arroyo, M. and 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; 2167-2202; 10.1002/nme.1534
• Arias, I. and Serebrinsky, S., et el. (2006) A phenomenological cohesive model of ferroelectric fatigue; Acta Materialia; Vol. 54; No. 4; 975-984; 10.1016/j.actamat.2005.10.035
• Yang, Q. and Stainier, L., et el. (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; 401-424; 10.1016/j.jmps.2005.08.010
• Weinberg, K. and Mota, A., et el. (2006) A variational constitutive model for porous metal plasticity; Computational Mechanics; Vol. 37; No. 2; 142-152; 10.1007/s00466-005-0685-2
• Yang, Q. and Mota, A., et el. (2006) A Finite-Deformation Constitutive Model of Bulk Metallic Glass Plasticity; Computational Mechanics; Vol. 37; No. 2; 194-204; 10.1007/s00466-005-0690-5
• Mota, Alejandro and Knap, Jaroslaw, et el. (2006) Three-dimensional fracture and fragmentation of artificial kidney stones; Journal of Physics: Conference Series; Vol. 46; 299-303; 10.1088/1742-6596/46/1/041
• Ariza, M. P. and Ortiz, M. (2005) Discrete Crystal Elasticity and Discrete Dislocations in Crystals; Archive for Rational Mechanics and Analysis; Vol. 178; No. 2; 149-226; 10.1007/s00205-005-0391-4
• Serebrinsky, S. and Ortiz, M. (2005) A hysteretic cohesive-law model of fatigue-crack nucleation; Scripta Materialia; Vol. 53; No. 10; 1193-1196; 10.1016/j.scriptamat.2005.07.015
• Cirak, Fehmi and Ortiz, Michael, et el. (2005) A cohesive approach to thin-shell fracture and fragmentation; Computer Methods in Applied Mechanics and Engineering; Vol. 194; No. 21-24; 2604-2618; 10.1016/j.cma.2004.07.048
• Marian, Jaime and Knap, Jaroslaw, et el. (2005) Nanovoid deformation in aluminum under simple shear; Acta Materialia; Vol. 53; No. 10; 2893-2900; 10.1016/j.actamat.2005.02.046
• Conti, Sergio and Ortiz, Michael (2005) Dislocation Microstructures and the Effective Behavior of Single Crystals; Archive for Rational Mechanics and Analysis; Vol. 176; No. 1; 103-147; 10.1007/s00205-004-0353-2
• Weinberg, K. and Ortiz, M. (2005) Shock wave induced damage in kidney tissue; Computational Materials Science; Vol. 32; No. 3-4; 588-593; 10.1016/j.commatsci.2004.09.005
• Yang, Q. and Mota, A., et el. (2005) A class of variational strain-localization finite elements; International Journal for Numerical Methods in Engineering; Vol. 62; No. 8; 1013-1037; 10.1002/nme.1199
• Klug, W. S. and Feldmann, M. T., et el. (2005) Three-dimensional director-field predictions of viral DNA packing arrangements; Computational Mechanics; Vol. 35; No. 2; 146-152; 10.1007/s00466-004-0613-x
• Hayes, Robin L. and Fago, Matt, et el. (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; 359-389; 10.1137/080727531
• Sivakumar, Srinivasan M. and Ortiz, Michael (2004) Microstructure evolution in the equal channel angular extrusion process; Computer Methods in Applied Mechanics and Engineering; Vol. 193; No. 48-51; 5177-5194; 10.1016/j.cma.2004.01.036
• Weinberg, Kerstin and Colonius, Tim, et el. (2004) A Model for Kidney Tissue Damage under High Speed Loading; Proceedings in Applied Mathematics and Mechanics; Vol. 4; No. 1; 234-235; 10.1002/pamm.200410098
• Koslowski, M. and Ortiz, M. (2004) A multi-phase field model of planar dislocation networks; Modelling and Simulation in Materials Science and Engineering; Vol. 12; No. 6; 1087-1097; 10.1088/0965-0393/12/6/003
• Marian, Jaime and Knap, Jaroslaw, et el. (2004) Nanovoid Cavitation by Dislocation Emission in Aluminum; Physical Review Letters; Vol. 93; No. 16; Art. no. 165503; 10.1103/PhysRevLett.93.165503
• Serebrinsky, S. and Carter, E. A., et el. (2004) A quantum-mechanically informed continuum model of hydrogen embrittlement; Journal of the Mechanics and Physics of Solids; Vol. 52; No. 10; 2403-2430; 10.1016/j.jmps.2004.02.010
• Caspersen, Kyle J. and Lew, Adrian, et el. (2004) Importance of Shear in the bcc-to-hcp Transformation in Iron; Physical Review Letters; Vol. 93; No. 11; Art. No. 115501; 10.1103/PhysRevLett.93.115501
• Thoutireddy, P. and 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; 1-21; 10.1002/nme.1052
• Fago, Matt and Hayes, Robin L., et el. (2004) Density-functional-theory-based local quasicontinuum method: Prediction of dislocation nucleation; Physical Review B; Vol. 70; No. 10; Art. No. 100102(R); 10.1103/PhysRevB.70.100102
• Ortiz, M. and Pandolfi, A. (2004) A variational Cam-clay theory of plasticity; Computer Methods in Applied Mechanics and Engineering; Vol. 193; No. 27-29; 2645-2666; 10.1016/j.cma.2003.08.008
• Lew, A. and Marsden, J. E., et el. (2004) Variational time integrators; International Journal for Numerical Methods in Engineering; Vol. 60; No. 1; 153-212; 10.1002/nme.958
• Hayes, Robin L. and Ortiz, Michael, et el. (2004) Universal binding-energy relation for crystals that accounts for surface relaxation; Physical Review B; Vol. 69; No. 17; Art. No. 172104; 10.1103/PhysRevB.69.172104
• Müller, S. and Ortiz, M. (2004) On the Γ-convergence of discrete dynamics and variational integrators; Journal of Nonlinear Science; Vol. 14; No. 3; 279-296; 10.1007/BF02666023
• Studer, Vincent and Hang, Giao, et el. (2004) Scaling properties of a low-actuation pressure microfluidic valve; Journal of Applied Physics; Vol. 95; No. 1; 393-398; 10.1063/1.1629781
• Lew, Adrian and Neff, Patrizio, et el. (2004) Optimal BV estimates for a discontinuous Galerkin method for linear elasticity; Applied Mathematics Research eXpress; Vol. 2004; No. 3; 73-106; 10.1155/S1687120004020052
• Aubry, S. and 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; 3131-3158; 10.1098/rspa.2003.1179
• Klug, W. S. and 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; 1815-1847; 10.1016/S0022-5096(03)00071-1
• Aubry, Sylvie and Fago, Matt, et el. (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; 2823-2843; 10.1016/S0045-7825(03)00260-3
• Cirak, Fehmi and Cisternas, Jaime E., et el. (2003) Oscillatory Thermomechanical Instability of an Ultrathin Catalyst; Science; Vol. 300; No. 5627; 1932-1936; 10.1126/science.1083909
• Knap, J. and Ortiz, M. (2003) Effect of Indenter-Radius Size on Au(001) Nanoindentation; Physical Review Letters; Vol. 90; No. 22; Art. No. 226102; 10.1103/PhysRevLett.90.226102
• Mota, A. and Klug, W. S., et el. (2003) Finite-element simulation of firearm injury to the human cranium; Computational Mechanics; Vol. 31; No. 1-2; 115-121; 10.1007/s00466-002-0398-8
• Lew, A. and Marsden, J. E., et el. (2003) Asynchronous Variational Integrators; Archive for Rational Mechanics and Analysis; Vol. 167; No. 2; 85-146; 10.1007/s00205-002-0212-y
• Stainier, L. and Cuitiño, A. M., et el. (2003) Multiscale modelling of hardening in BCC crystal plasticity; Journal de Physique IV (Proceedings); Vol. 105; 157-164; 10.1051/jp4:20030183
• Yu, C. and Ortiz, M., et el. (2003) 3D Modelling of Impact Failure in Sandwich Structures; European Structural Integrity Society; Vol. 32; 527-537; 10.1016/S1566-1369(03)80122-X
• Fetecau, R. C. and Marsden, J. E., et el. (2003) Nonsmooth Lagrangian mechanics and variational collision integrators; SIAM Journal on Applied Dynamical Systems; Vol. 2; No. 3; 381-416; 10.1137/S1111111102406038
• Koslowski, M. and Cuitiño, A. M., et el. (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; 2597-2635; 10.1016/S0022-5096(02)00037-6
• Yu, C. and Pandolfi, A., et el. (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; 6135-6157; 10.1016/S0020-7683(02)00466-3
• Nguyen, O. and 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; 1727-1741; 10.1016/S0022-5096(01)00133-8
• Pandolfi, A. and Ortiz, M. (2002) An Efficient Adaptive Procedure for Three-Dimensional Fragmentation Simulations; Engineering with Computers; Vol. 18; No. 2; 148-159; 10.1007/s003660200013
• Stainier, L. and Cuitiño, A. M., et el. (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; 1511-1545; 10.1016/S0022-5096(01)00114-4
• Gioia, G. and DeSimone, A., et el. (2002) Folding energetics in thin-film diaphragms; Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 458; No. 2021; 1223-1229; 10.1098/rspa.2001.0921
• Molinari, J. F. and Ortiz, M. (2002) A study of solid-particle erosion of metallic targets; International Journal of Impact Engineering; Vol. 27; No. 4; 347-358; 10.1016/S0734-743X(01)00055-0
• Pandolfi, A. and Kane, C., et el. (2002) Time-discretized variational formulation of non-smooth frictional contact; International Journal for Numerical Methods in Engineering; Vol. 53; No. 8; 1801-1829; 10.1002/nme.361
• Molinari, J. F. and 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; 1101-1126; 10.1002/nme.325
• Cirak, Fehmi and Scott, Michael J., et el. (2002) Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision; Computer-Aided Design; Vol. 34; No. 2; 137-148; 10.1016/S0010-4485(01)00061-6
• Ortiz, M. and Radovitzky, R. A., et el. (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; 1431-1441; 10.1002/nme.263
• Ruiz, Gonzalo and Pandolfi, Anna, et el. (2001) Three‐dimensional cohesive modeling of dynamic mixed‐mode fracture; International Journal for Numerical Methods in Engineering; Vol. 52; No. 1-2; 97-120; 10.1002/nme.273
• Knapp, J. and Ortiz, M. (2001) An analysis of the quasicontinuum method; Journal of the Mechanics and Physics of Solids; Vol. 49; No. 9; 1899-1923; 10.1016/S0022-5096(01)00034-5
• Yadav, S. and Repetto, E. A., et el. (2001) A computational study of the influence of thermal softening on ballistic penetration in metals; International Journal of Impact Engineering; Vol. 25; No. 8; 787-803; 10.1016/S0734-743X(01)00008-2
• Nguyen, O. and Repetto, E. A., et el. (2001) A Cohesive model of fatigue crack growth; International Journal of Fracture; Vol. 110; No. 4; 351-369; 10.1023/A:1010839522926
• Cirak, Fehmi and 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; 813-833; 10.1002/nme.182
• Lewis, A. C. and Radovitzky, R., et el. (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; 213-231; 10.1023/A:1020064403005
• Cuitiño, Alberto M. and Stainier, Laurent, et el. (2001) A multiscale approach for modeling crystalline solids; Journal of Computer-Aided Materials Design; Vol. 8; No. 2/3; 127-149; 10.1023/A:1020012431230
• Krysl, Petr and 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; 1681-1700; 10.1002/nme.91
• Krysl, Petr and Ortiz, Michael (2001) Extraction of boundary representation from surface triangulations; International Journal for Numerical Methods in Engineering; Vol. 50; No. 7; 1737-1758; 10.1002/nme.94
• Ortiz, M. and Cuitiño, A. M., et el. (2001) Mixed Atomistic–Continuum Models of Material Behavior: The Art of Transcending Atomistics and Informing Continua; MRS Bulletin; Vol. 26; No. 03; 216-221; 10.1557/mrs2001.45
• Thoutireddy, P. and Molinari, J. F., et el. (2001) Tetrahedral composite finite elements; International Journal for Numerical Methods in Engineering; Vol. 53; No. 6; 1337-1351; 10.1002/nme.337
• Molinari, J. F. and Ortiz, M., et el. (2001) Finite‐element modeling of dry sliding wear in metals; Engineering Computations; Vol. 18; No. 3/4; 592-610; 10.1108/00368790110407257
• Kane, C. and Marsden, J. E., et el. (2000) Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems; International Journal for Numerical Methods in Engineering; Vol. 49; No. 10; 1295-1325; 10.1002/1097-0207(20001210)49:10<1295::AID-NME993>3.0.CO;2-W
• Ortiz, M. and Repetto, E. A., et el. (2000) A theory of subgrain dislocation structures; Journal of the Mechanics and Physics of Solids; Vol. 48; No. 10; 2077-2114; 10.1016/S0022-5096(99)00104-0
• Ruiz, Gonzalo and Ortiz, Michael, et el. (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; 963-994; 10.1002/(SICI)1097-0207(20000710)48:7<963::AID-NME908>3.0.CO;2-X
• Pandolfi, A. and Guduru, P. R., et el. (2000) Three dimensional cohesive-element analysis and experiments of dynamic fracture in C300 steel; International Journal of Solids and Structures; Vol. 37; No. 27; 3733-3760; 10.1016/S0020-7683(99)00155-9
• Radovitzky, R. and 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; 543-569; 10.1016/S0045-7825(99)00339-4
• Cirak, Fehmi and Ortiz, Michael, et el. (2000) Subdivision surfaces: a new paradigm for thin-shell finite-element analysis; International Journal for Numerical Methods in Engineering; Vol. 47; No. 12; 2039-2072; 10.1002/(SICI)1097-0207(20000430)47:12<2039::AID-NME872>3.0.CO;2-1
• Repetto, E. A. and Radovitzky, R., et el. (2000) Finite element simulation of dynamic fracture and fragmentation of glass rods; Computer Methods in Applied Mechanics and Engineering; Vol. 183; No. 1-2; 3-14; 10.1016/S0045-7825(99)00208-X
• Aivazis, Michael and Goddard, William A., et el. (2000) A virtual test facility for simulating the dynamic response of materials; Computing in Science & Engineering; Vol. 2; No. 2; 42-53; 10.1109/5992.825748
• Guo, Yong and Ortiz, Michael, et el. (2000) Triangular composite finite elements; International Journal for Numerical Methods in Engineering; Vol. 47; No. 1-3; 287-316; 10.1002/(SICI)1097-0207(20000110/30)47:1/3<287::AID-NME772>3.0.CO;2-M
• Tadmor, E. B. and Phillips, R., et el. (2000) Hierarchical modeling in the mechanics of materials; International Journal of Solids and Structures; Vol. 37; No. 1-2; 379-389; 10.1016/S0020-7683(99)00095-5
• Kane, C. and Repetto, E. A., et el. (1999) Finite element analysis of nonsmooth contact; Computer Methods in Applied Mechanics and Engineering; Vol. 180; No. 1-2; 1-26; 10.1016/S0045-7825(99)00034-1
• Phillips, Rob and Rodney, David, et el. (1999) Hierarchical models of plasticity: dislocation nucleation and interaction; Modelling and Simulation in Materials Science and Engineering; Vol. 7; No. 5; 769-780; 10.1088/0965-0393/7/5/309
• Kane, C. and Marsden, J. E., et el. (1999) Symplectic-energy-momentum preserving variational integrators; Journal of Mathematical Physics; Vol. 40; No. 7; 3353-3371; 10.1063/1.532892
• Shenoy, V. B. and Ortiz, M., et el. (1999) The atomistic structure and energy of nascent dislocation loops; Modelling and Simulation in Materials Science and Engineering; Vol. 7; No. 4; 603-619; 10.1088/0965-0393/7/4/309
• Tadmor, E.B. and Miller, R., et el. (1999) Nanoindentation and incipient plasticity; Journal of Materials Research; Vol. 14; No. 6; 2233-2250
• Ortiz, M. (1999) Plastic Yielding as a Phase Transition; Journal of Applied Mechanics; Vol. 66; No. 2; 289; 10.1115/1.2791048
• de-Andrés, A. and Pérez, J. L., et el. (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; 2231-2258; 10.1016/S0020-7683(98)00059-6
• Radovitzky, R. and 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; 203-240; 10.1016/S0045-7825(98)00230-8
• Ortiz, M. and Stainier, L. (1999) The variational formulation of viscoplastic constitutive updates; Computer Methods in Applied Mechanics and Engineering; Vol. 171; No. 3-4; 419-444; 10.1016/S0045-7825(98)00219-9
• Borcea, Liliana and Ortiz, Michael (1999) A multiscattering series for impedance tomography in layered media; Inverse Problems; Vol. 15; No. 2; 515-540; 10.1088/0266-5611/15/2/011
• Ortiz, M. and 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; 1267-1282; 10.1002/(SICI)1097-0207(19990330)44:9<1267::AID-NME486>3.0.CO;2-7
• Ortiz, M. and Repetto, E. A., et el. (1999) A continuum model of kinetic roughening and coarsening in thin films; Journal of the Mechanics and Physics of Solids; Vol. 47; No. 4; 697-730; 10.1016/S0022-5096(98)00102-1
• Ortiz, M. and 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; 397-462; 10.1016/S0022-5096(97)00096-3
• Repetto, E. A. and Radovitzky, R., et el. (1999) A Finite Element Study of Electromagnetic Riveting; Journal of Manufacturing Science and Engineering; Vol. 121; No. 1; 61; 10.1115/1.2830576
• Pandolfi, A. and Krysl, P., et el. (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; 279-297; 10.1023/A:1018672922734
• Gioia, G. and Ortiz, M. (1998) Determination of thin-film debonding parameters from telephone-cord measurements; Acta Materialia; Vol. 46; No. 1; 169-175; 10.1016/S1359-6454(97)00211-5
• Pandolfi, A. and Ortiz, M. (1998) Solid modeling aspects of three-dimensional fragmentation; Engineering with Computers; Vol. 14; No. 4; 287-308; 10.1007/BF01201761
• Radovitzky, R. and Ortiz, M. (1998) Lagrangian finite element analysis of Newtonian fluid flows; International Journal for Numerical Methods in Engineering; Vol. 43; No. 4; 607-619; 10.1002/(SICI)1097-0207(19981030)43:4<607::AID-NME399>3.0.CO;2-N
• Xu, G. and Bower, A. F., et el. (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; 1815-1833; 10.1016/S0022-5096(98)00059-3
• Miller, Ron and Phillips, Rob, et el. (1998) A non-local formulation of the Peierls dislocation model; Journal of the Mechanics and Physics of Solids; Vol. 46; No. 10; 1845-1867; 10.1016/S0022-5096(98)00057-X
• Bhattacharya, K. and Ortiz, M., et el. (1998) Energy-based model of compressive splitting in heterogeneous brittle solids; Journal of the Mechanics and Physics of Solids; Vol. 46; No. 10; 2171-2181; 10.1016/S0022-5096(98)00026-X
• Miller, R. and Tadmor, E. B., et el. (1998) Quasicontinuum simulation of fracture at the atomic scale; Modelling and Simulation in Materials Science and Engineering; Vol. 6; No. 5; 607-638; 10.1088/0965-0393/6/5/008
• Miller, R. and Ortiz, M., et el. (1998) Quasicontinuum models of fracture and plasticity; Engineering Fracture Mechanics; Vol. 61; No. 3-4; 427-444; 10.1016/S0013-7944(98)00047-2
• Chen, J. Y. and Huang, Y., et el. (1998) Fracture analysis of cellular materials: A strain gradient model; Journal of the Mechanics and Physics of Solids; Vol. 46; No. 5; 789-828; 10.1016/S0022-5096(98)00006-4
• Shenoy, V. B. and Miller, R., et el. (1998) Quasicontinuum Models of Interfacial Structure and Deformation; Physical Review Letters; Vol. 08; No. 4; 742-745; 10.1103/PhysRevLett.80.742
• Bigoni, D. and Ortiz, M., et el. (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; 4305-4326; 10.1016/S0020-7683(97)00025-5
• Walter, M. E. and Ravichandran, G., et el. (1997) Computational modeling of damage evolution in unidirectional fiber reinforced ceramic matrix composites; Computational Mechanics; Vol. 20; No. 1-2; 192-198; 10.1007/s004660050239
• Repetto, E. A. and 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; 2577-2595; 10.1016/S1359-6454(96)00368-0
• Camacho, G. T. and Ortiz, M. (1997) Adaptive Lagrangian modelling of ballistic penetration of metallic targets; Computer Methods in Applied Mechanics and Engineering; Vol. 142; No. 3-4; 269-301; 10.1016/S0045-7825(96)01134-6
• Xu, G. and Argon, A. S., et el. (1997) Critical configurations for dislocation nucleation from crack tips; Philosophical Magazine A; Vol. 75; No. 2; 341-367; 10.1080/01418619708205146
• Tadmor, E. B. and Phillips, Rob, et el. (1996) Mixed Atomistic and Continuum Models of Deformation in Solids; Langmuir; Vol. 12; No. 19; 4529-4534; 10.1021/la9508912
• Ortiz, M. (1996) Computational micromechanics; Computational Mechanics; Vol. 18; No. 5; 321-338; 10.1007/BF00376129
• Ortiz, Miguel (1996) Juan Carlos Simo, 1952–1994; International Journal of Solids and Structures; Vol. 33; No. 20-22; 2859-2861; 10.1016/S0020-7683(96)90054-2
• Camacho, G. T. and Ortiz, M. (1996) Computational modelling of impact damage in brittle materials; International Journal of Solids and Structures; Vol. 33; No. 20-22; 2899-2938; 10.1016/0020-7683(95)00255-3
• Tadmor, E. B. and Ortiz, M., et el. (1996) Quasicontinuum analysis of defects in solids; Philosophical Magazine A; Vol. 73; No. 6; 1529-1563; 10.1080/01418619608243000
• Cuitiño, A. M. and 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; 863-904; 10.1016/0022-5096(96)00016-6
• Cuitiño, A. M. and Ortiz, M. (1996) Ductile fracture by vacancy condensation in f.c.c. single crystals; Acta Materialia; Vol. 44; No. 2; 427-436; 10.1016/1359-6454(95)00220-0
• Gioia, G. and Ortiz, M. (1996) The Two-Dimensional Structure of Dynamic Boundary Layers and Shear Bands in Thermoviscoplastic Solids; Journal of the Mechanics and Physics of Solids; Vol. 44; No. 2; 251-292; 10.1016/0022-5096(95)00071-2
• Marusich, T. D. and Ortiz, M. (1995) Modelling and simulation of high-speed machining; International Journal for Numerical Methods in Engineering; Vol. 38; No. 21; 3675-3694; 10.1002/nme.1620382108
• Xu, G. and Argon, A. S., et el. (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; 415-451; 10.1080/01418619508239933
• Xu, G. and 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; 3675-3701; 10.1002/nme.1620362107
• Gallego, Rafael and 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; 417-436; 10.1088/0965-0393/1/4/006
• Bower, A. F. and Ortiz, M. (1993) The Influence of Grain Size on the Toughness of Monolithic Ceramics; Journal of Engineering Materials and Technology; Vol. 115; No. 3; 228-236; 10.1115/1.2904212
• Cuitiño, A. M. and Ortiz, M. (1993) Computational modelling of single crystals; Modelling and Simulation in Materials Science and Engineering; Vol. 1; No. 3; 225-263; 10.1088/0965-0393/1/3/001
• Ortiz, M. and Suresh, S. (1993) Statistical Properties of Residual Stresses and Intergranular Fracture in Ceramic Materials; Journal of Applied Mechanics; Vol. 60; No. 1; 77-84; 10.1115/1.2900782
• Bower, A. F. and Ortiz, M. (1993) An Analysis of Crack Trapping by Residual Stresses in Brittle Solids; Journal of Applied Mechanics; Vol. 60; No. 1; 175-182; 10.1115/1.2900742
• Espinosa, H. D. and Raiser, G., et el. (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; 3451-3457; 10.1063/1.351419
• Mohan, R. and Ortiz, M., et el. (1992) Mode mixity effects on crack tip deformation in ductile single crystals; Acta Metallurgica et Materialia; Vol. 40; No. 8; 1907-1922; 10.1016/0956-7151(92)90177-G
• Ortiz, M. and 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; 48-53; 10.1115/1.2899463
• Mohan, R. and Ortiz, M., et el. (1992) Influence of Cracking Direction on Interfacial Fracture in Bicrystals With Symmetric Tilt Boundary; Journal of Applied Mechanics; Vol. 59; No. 1; 84-91; 10.1115/1.2899469
• Mohan, R. and Ortiz, M., et el. (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; 291-313; 10.1016/S0022-5096(05)80014-6
• Mohan, R. and Ortiz, M., et el. (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; 315-337; 10.1016/S0022-5096(05)80015-8
• Suo, Z. and Ortiz, M., et el. (1992) Stability of solids with interfaces; Journal of the Mechanics and Physics of Solids; Vol. 40; No. 3; 613-640; 10.1016/0022-5096(92)80006-C
• Cuitiño, A. M. and 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; 437-451; 10.1108/eb023876
• 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; 397-398; 10.1016/0045-7825(91)90024-Z
• Ortiz, M. and Quigley, J. J., IV (1991) Adaptive mesh refinement in strain localization problems; Computer Methods in Applied Mechanics and Engineering; Vol. 90; No. 1-3; 781-804; 10.1016/0045-7825(91)90184-8
• Needleman, A. and Ortiz, M. (1991) Effect of boundaries and interfaces on shear-band localization; International Journal of Solids and Structures; Vol. 28; No. 7; 859-877; 10.1016/0020-7683(91)90005-Z
• Bower, A. F. and 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; 815-858; 10.1016/0022-5096(91)90026-K
• Raiser, G. and Clifton, R. J., et el. (1990) A soft-recovery plate impact experiment for studying microcracking in ceramics; Mechanics of Materials; Vol. 10; No. 1-2; 43-58; 10.1016/0167-6636(90)90016-9
• Ortiz, M. and Giannakopoulos, A. E. (1990) Crack propagation in monolithic ceramics under mixed mode loading; International Journal of Fracture; Vol. 44; No. 4; 233-258; 10.1007/BF00036167
• Leroy, Y. and 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; 93-124; 10.1002/nag.1610140203
• Moran, B. and Ortiz, M., et el. (1990) Formulation of implicit finite element methods for multiplicative finite deformation plasticity; International Journal for Numerical Methods in Engineering; Vol. 29; No. 3; 483-514; 10.1002/nme.1620290304
• Ortiz, Michael and Blume, Janet A. (1990) Effect of decohesion and sliding on bimaterial crack-tip fields; International Journal of Fracture; Vol. 42; No. 2; 117-128; 10.1007/BF00018381
• Ortiz, M. and Giannakopoulos, A. E. (1990) Mixed mode crack-tip fields in monolithic ceramics; International Journal of Solids and Structures; Vol. 26; No. 7; 705-723; 10.1016/0020-7683(90)90002-D
• Symington, M. and Ortiz, M., et el. (1990) A finite element method for determining the angular variation of asymptotic crack tip fields; International Journal of Fracture; Vol. 45; No. 1; 51-64; 10.1007/BF00012609
• Bower, A. F. and 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; 443-480; 10.1016/0022-5096(90)90008-R
• Ortiz, M. and Sotelino, E. D., et el. (1989) Efficiency of group implicit concurrent algorithms for transient finite element analysis; International Journal for Numerical Methods in Engineering; Vol. 28; No. 12; 2761-2776; 10.1002/nme.1620281204
• Nacar, A. and Needleman, A., et el. (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; 235-258; 10.1016/0045-7825(89)90067-4
• Ortiz, Michael and 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; 1839-1853; 10.1002/nme.1620280810
• Leroy, Y. and 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; 53-74; 10.1002/nag.1610130106
• Ortiz, M. and 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; 1551-1566; 10.1002/nme.1620260707
• Ortiz, Michael and Nour-Omid, Bahram, et el. (1988) Accuracy of a class of concurrent algorithms for transient finite element analysis; International Journal for Numerical Methods in Engineering; Vol. 26; No. 2; 379-391; 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; 231-250; 10.1016/0020-7683(88)90031-5
• Ortiz, M. and Molinari, A. (1988) Microstructural thermal stresses in ceramic materials; Journal of the Mechanics and Physics of Solids; Vol. 36; No. 4; 385-400; 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; 159-174; 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; 54-58; 10.1115/1.3172994
• Ortiz, Michael and Leroy, Yves, et el. (1987) A finite element method for localized failure analysis; Computer Methods in Applied Mechanics and Engineering; Vol. 61; No. 2; 189-214; 10.1016/0045-7825(87)90004-1
• Molinari, A. and Ortiz, M. (1987) Global viscoelastic behavior of heterogeneous thermoelastic materials; International Journal of Solids and Structures; Vol. 23; No. 9; 1285-1300; 10.1016/0020-7683(87)90106-5
• Ortiz, M. (1987) A method of homogenization of elastic media; International Journal of Engineering Science; Vol. 25; No. 7; 923-934; 10.1016/0020-7225(87)90125-X
• Ortiz, Michael and Nour-Omid, Bahram (1986) Unconditionally stable concurrent procedures for transient finite element analysis; Computer Methods in Applied Mechanics and Engineering; Vol. 58; No. 2; 151-174; 10.1016/0045-7825(86)90094-0
• Ortiz, M. and 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; 353-366; 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; 167-168; 10.1016/0045-7949(86)90346-9
• Ortiz, M. and 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; 1561-1576; 10.1002/nme.1620210902
• Simo, J. C. and 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; 221-245; 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; 67-93; 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; 717-731; 10.1016/0020-7225(85)90004-7
• Pinsky, Peter M. and Ortiz, Miguel, et el. (1983) Numerical integration of rate constitutive equations in finite deformation analysis; Computer Methods in Applied Mechanics and Engineering; Vol. 40; No. 2; 137-158; 10.1016/0045-7825(83)90087-7
• Ortiz, Miguel and Popov, Egor P. (1983) Distortional Hardening Rules for Metal Plasticity; Journal of Engineering Mechanics; Vol. 109; No. 4; 1042-1057; 10.1061/(ASCE)0733-9399(1983)109:4(1042)
• Ortiz, Miguel and Pinsky, Peter M., et el. (1983) Operator split methods for the numerical solution of the elastoplastic dynamic problem; Computer Methods in Applied Mechanics and Engineering; Vol. 39; No. 2; 137-157; 10.1016/0045-7825(83)90018-X
• Ortiz, Miguel and Pinsky, Peter M., et el. (1983) Unconditionally stable element-by-element algorithms for dynamic problems; Computer Methods in Applied Mechanics and Engineering; Vol. 36; No. 2; 223-239
• Pinsky, Peter M. and Ortiz, Miguel, et el. (1983) Operator split methods in the numerical solution of the finite deformation elastoplastic dynamic problem; Computers and Structures; Vol. 17; No. 3; 345-359; 10.1016/0045-7949(83)90126-8
• Ortiz, M. and 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; 101-125; 10.1098/rspa.1982.0123
• Ortiz, Miguel and Popov, Egor P. (1982) Plain concrete as a composite material; Mechanics of Materials; Vol. 1; No. 2; 139-150; 10.1016/0167-6636(82)90042-4
• Ortiz, M. and 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; 439-458; 10.1098/rspa.1982.0025