CaltechAUTHORS
  A Caltech Library Service

Items where Person is "Ortiz-M"

Up a level
Export as [feed] Atom [feed] RSS 1.0 [feed] RSS 2.0
Group by: Date | Item Type | First Author | No Grouping
Jump to: 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 | 2000 | 1999 | 1998 | 1997 | 1996 | 1995 | 1993 | 1992 | 1991 | 1990 | 1989 | 1988 | 1987 | 1986 | 1985 | 1983 | 1982
Number of items: 346.

2019

Conti, S. and Müller, S. and Ortiz, M. (2019) Symmetric Div-Quasiconvexity and the Relaxation of Static Problems. Archive for Rational Mechanics and Analysis . ISSN 0003-9527. (In Press) http://resolver.caltech.edu/CaltechAUTHORS:20190805-150303687

Stainier, Laurent and Leygue, Adrien and Ortiz, Michael (2019) Model-free data-driven methods in mechanics: material data identification and solvers. Computational Mechanics, 64 (2). pp. 381-393. ISSN 0178-7675. http://resolver.caltech.edu/CaltechAUTHORS:20190604-153039944

Arca, Francisco and Mendez, Juan Pedro and Ortiz, Michael et al. (2019) Steric Interference in Bilayer Graphene with Point Dislocations. Nanomaterials, 9 (7). Art. No. 1012. ISSN 2079-4991. PMCID PMC6669646. http://resolver.caltech.edu/CaltechAUTHORS:20190716-082655936

Eggersmann, R. and Kirchdoerfer, T. and Reese, S. et al. (2019) Model-Free Data-Driven inelasticity. Computer Methods in Applied Mechanics and Engineering, 350 . pp. 81-99. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20190304-093042764

Heyden, S. and Ortiz, M. (2019) Functional optimality of the sulcus pattern of the human brain. Mathematical Medicine and Biology, 36 (2). pp. 207-221. ISSN 1477-8599. http://resolver.caltech.edu/CaltechAUTHORS:20180604-073442987

Wu, Jianyang and Gong, Hao and Zhang, Zhisen et al. (2019) Topology and polarity of dislocation cores dictate the mechanical strength of monolayer MoS_2. Applied Materials Today, 15 . pp. 34-42. ISSN 2352-9407. http://resolver.caltech.edu/CaltechAUTHORS:20190114-093259803

Dahlberg, C. F. O. and Ortiz, M. (2019) Fractional strain-gradient plasticity. European Journal of Mechanics - A/Solids, 75 . pp. 348-354. ISSN 0997-7538. http://resolver.caltech.edu/CaltechAUTHORS:20190225-123840084

Sun, X. and Ariza, M. P. and Ortiz, M. et al. (2019) Atomistic Modeling and Analysis of Hydride Phase Transformation in Palladium Nanoparticles. Journal of the Mechanics and Physics of Solids, 125 . pp. 360-383. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20190107-130600369

Kirchdoerfer, Trenton and Ortiz, Michael and Stewart, Donald S. (2019) Topology Optimization of Solid Rocket Fuel. AIAA Journal, 57 (4). pp. 1684-1690. ISSN 0001-1452. http://resolver.caltech.edu/CaltechAUTHORS:20190530-074847285

Deffo, A. and Ariza, M. P. and Ortiz, M. (2019) A line-free method of monopoles for 3D dislocation dynamics. Journal of the Mechanics and Physics of Solids, 122 . pp. 566-589. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20180925-152150158

2018

Reina, Celia and Fokoua Djodom, Landry and Ortiz, Michael 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, 121 . pp. 99-113. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20180806-110927280

Ortiz, Michael and Schmidt, Bernd and Stefanelli, Ulisse (2018) A variational approach to Navier-Stokes. Nonlinearity, 31 (12). Art. No. 5664. ISSN 0951-7715. http://resolver.caltech.edu/CaltechAUTHORS:20180302-070321462

Heyden, S. and Ortiz, M. (2018) Optimizing information transmission rates drives brain gyrification. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 474 (2219). Art. No. 20180527. ISSN 1364-5021. http://resolver.caltech.edu/CaltechAUTHORS:20181212-142046456

Stebner, Aaron P. and Wehrenberg, Christopher and Li, Bo et al. (2018) Strength of tantalum shocked at ultrahigh pressures. Materials Science and Engineering A, 732 . pp. 220-227. ISSN 0921-5093. http://resolver.caltech.edu/CaltechAUTHORS:20180706-105716928

Mendez, J. P. and Arca, F. and Ramos, J. et al. (2018) Charge carrier transport across grain boundaries in graphene. Acta Materialia, 154 . pp. 199-206. ISSN 1359-6454. http://resolver.caltech.edu/CaltechAUTHORS:20180518-133908702

Conti, S. and Müller, S. and Ortiz, M. (2018) Data-Driven Problems in Elasticity. Archive for Rational Mechanics and Analysis, 229 (1). pp. 79-123. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20180131-140932556

Mendez, J. P. and Ponga, M. and Ortiz, M. (2018) Diffusive molecular dynamics simulations of lithiation of silicon nanopillars. Journal of the Mechanics and Physics of Solids, 115 . pp. 123-141. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20180312-142155426

Kirchdoerfer, T. and Liebscher, A. and Ortiz, M. (2018) CTH shock physics simulation of non-linear material effects within an aerospace CFRP fastener assembly due to direct lightning attachment. Composite Structures, 189 . pp. 357-365. ISSN 0263-8223 . http://resolver.caltech.edu/CaltechAUTHORS:20180404-092418928

Schill, W. and Heyden, S. and Conti, S. et al. (2018) The anomalous yield behavior of fused silica glass. Journal of the Mechanics and Physics of Solids, 113 . pp. 105-125. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20180201-135857640

Kirchdoerfer, T. and Ortiz, M. (2018) Data-Driven Computing in Dynamics. International Journal for Numerical Methods in Engineering, 113 (11). pp. 1697-1710. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171101-121627090

Sun, Xingsheng and Ariza, Pilar and Ortiz, Michael et al. (2018) Long-term atomistic simulation of hydrogen absorption in palladium nanocubes using a diffusive molecular dynamics method. International Journal of Hydrogen Energy, 43 (11). pp. 5657-5667. ISSN 0360-3199. http://resolver.caltech.edu/CaltechAUTHORS:20180221-092513945

Sun, D. and Ponga, M. and Bhattacharya, K. et al. (2018) Proliferation of twinning in hexagonal close-packed metals: Application to magnesium. Journal of the Mechanics and Physics of Solids, 112 . pp. 368-384. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171221-151321326

2017

Sun, X. and Ariza, M. P. and Ortiz, M. et al. (2017) Acceleration of diffusive molecular dynamics simulations through mean field approximation and subcycling time integration. Journal of Computational Physics, 350 . pp. 470-492. ISSN 0021-9991. http://resolver.caltech.edu/CaltechAUTHORS:20170912-141252063

Fedeli, L. and Pandolfi, A. and Ortiz, M. (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, 112 (9). pp. 1175-1193. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171106-141823774

Kirchdoerfer, T. and Ortiz, M. (2017) Data Driven Computing with Noisy Material Data Sets. Computer Methods in Applied Mechanics and Engineering, 326 . pp. 622-641. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20170612-102809775

Sun, Xingsheng and Ariza, Pilar and Ortiz, Michael et al. (2017) Atomistic Simulation of Hydrogen Diffusion in Palladium Nanoparticles Using a Diffusive Molecular Dynamics Method. In: Mechanics of Solids, Structures and Fluids; NDE, Structural Health Monitoring and Prognosis. American Society of Mechanical Engineers , New York, NY, Art. No. V009T12A026. ISBN 978-0-7918-5844-8. http://resolver.caltech.edu/CaltechAUTHORS:20180418-093213482

Kirchdoerfer, Trenton and Ortiz, Michael (2017) Data-Driven Computing. In: Advances in Computational Plasticity: A Book in Honour of D. Roger J. Owen. Computational Methods in Applied Sciences. No.46. Springer , Cham, Switzerland, pp. 165-183. ISBN 978-3-319-60884-6. http://resolver.caltech.edu/CaltechAUTHORS:20170912-142917371

Ponga, M. and Ortiz, M. and Ariza, M. P. (2017) A comparative study of nanovoid growth in FCC metals. Philosophical Magazine, 97 (32). pp. 2985-3007. ISSN 1478-6435 . http://resolver.caltech.edu/CaltechAUTHORS:20171117-145404249

De Bellis, Maria Laura and Della Vecchia, Gabriele and Ortiz, Michael 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, 104 . pp. 12-31. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20160316-140142435

Briccola, Deborah and Ortiz, Michael and Pandolfi, Anna (2017) Experimental Validation of Metaconcrete Blast Mitigation Properties. Journal of Applied Mechanics, 84 (3). Art. No. 031001. ISSN 0021-8936. http://resolver.caltech.edu/CaltechAUTHORS:20170331-074653697

Heyden, S. and Ortiz, M. (2017) Investigation of the influence of viscoelasticity on oncotripsy. Computer Methods in Applied Mechanics and Engineering, 314 . pp. 314-322. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20170302-082150368

Motamarri, Phani and Gavini, Vikram and Bhattacharya, Kaushik et al. (2017) Spectrum-splitting approach for Fermi-operator expansion in all-electron Kohn-Sham DFT calculations. Physical Review B, 95 (3). Art. No. 035111. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20161012-162032480

Balzani, D. and Schmidt, T. and Ortiz, M. (2017) Method for the quantification of rupture probability in soft collagenous tissues. International Journal for Numerical Methods in Biomedical Engineering, 33 (1). Art. No. e02781. ISSN 2040-7939. http://resolver.caltech.edu/CaltechAUTHORS:20160307-085012921

2016

De Bellis, M. L. and Della Vecchia, G. and Ortiz, M. et al. (2016) A linearized porous brittle damage material model with distributed frictional-cohesive faults. Engineering Geology, 215 . pp. 10-24. ISSN 0013-7952. http://resolver.caltech.edu/CaltechAUTHORS:20170119-123323401

Heyden, S. and Ortiz, M. and Fortunelli, A. (2016) All-atom molecular dynamics simulations of multiphase segregated polyurea under quasistatic, adiabatic, uniaxial compression. Polymer, 106 . pp. 100-108. ISSN 0032-3861. http://resolver.caltech.edu/CaltechAUTHORS:20161121-081314774

Natsiavas, P. P. and Weinberg, K. and Rosato, D. 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, 95 . pp. 92-111. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20160620-075212141

Ponga, M. and Bhattacharya, K. and Ortiz, M. (2016) A sublinear-scaling approach to density-functional-theory analysis of crystal defects. Journal of the Mechanics and Physics of Solids, 95 . pp. 530-556. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20161006-104337036

Mitchell, Sarah L. and Ortiz, Michael (2016) Computational multiobjective topology optimization of silicon anode structures for lithium-ion batteries. Journal of Power Sources, 326 . pp. 242-251. ISSN 0378-7753. http://resolver.caltech.edu/CaltechAUTHORS:20160718-102711891

Runnels, Brandon and Beyerlein, Irene J. and Conti, Sergio et al. (2016) A relaxation method for the energy and morphology of grain boundaries and interfaces. Journal of the Mechanics and Physics of Solids, 94 . pp. 388-408. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20160930-092102044

Ponga, Mauricio and Ramabathiran, Amuthan A. and Bhattacharya, Kaushik et al. (2016) Dynamic behavior of nano-voids in magnesium under hydrostatic tensile stress. Modelling and Simulation in Materials Science and Engineering, 24 (6). Art. No. 065003. ISSN 0965-0393. http://resolver.caltech.edu/CaltechAUTHORS:20160729-162325302

Wang, Xin-Cindy and Blesgen, Thomas and Bhattacharya, Kaushik et al. (2016) A Variational Framework for Spectral Approximations of Kohn–Sham Density Functional Theory. Archive for Rational Mechanics and Analysis, 221 (2). pp. 1035-1075. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20160523-075651915

Heyden, S. and Ortiz, M. (2016) Oncotripsy: Targeting cancer cells selectively via resonant harmonic excitation. Journal of the Mechanics and Physics of Solids, 92 . pp. 164-175. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20160502-083438790

Kirchdoerfer, T. and Ortiz, M. (2016) Data-driven computational mechanics. Computer Methods in Applied Mechanics and Engineering, 304 . pp. 81-101. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20160316-133550600

Mitchell, Stephanie J. and Pandolfi, Anna and Ortiz, Michael (2016) Effect of Brittle Fracture in a Metaconcrete Slab under Shock Loading. Journal of Engineering Mechanics, 142 (4). Art. No. 04016010. ISSN 0733-9399. http://resolver.caltech.edu/CaltechAUTHORS:20160425-142101643

Runnels, Brandon and Beyerlein, Irene J. and Conti, Sergio et al. (2016) An analytical model of interfacial energy based on a lattice-matching interatomic energy. Journal of the Mechanics and Physics of Solids, 89 . pp. 174-193. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20160301-092051608

Gonzalez-Ferreiro, B. and Romero, I. and Ortiz, M. (2016) A numerical method for the time coarsening of transport processes at the atomistic scale. Modelling and Simulation in Materials Science and Engineering, 24 (4). Art. No. 045011. ISSN 0965-0393. http://resolver.caltech.edu/CaltechAUTHORS:20160602-154054144

Conti, Sergio and Ortiz, Michael (2016) Optimal Scaling in Solids Undergoing Ductile Fracture by Crazing. Archive for Rational Mechanics and Analysis, 219 (2). pp. 607-636. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20160128-110737717

2015

Heyden, Stefanie and Nagler, Andreas and Bertoglio, Cristóbal et al. (2015) Material modeling of cardiac valve tissue: Experiments, constitutive analysis and numerical investigation. Journal of Biomechanics, 48 (16). pp. 4287-4296. ISSN 0021-9290 . http://resolver.caltech.edu/CaltechAUTHORS:20151130-103341973

Mitchell, Stephanie J. and Pandolfi, Anna and Ortiz, Michael (2015) Investigation of elastic wave transmission in a metaconcrete slab. Mechanics of Materials, 91 . pp. 295-303. ISSN 0167-6636 . http://resolver.caltech.edu/CaltechAUTHORS:20160107-133701732

Ponga, M. and Ortiz, M. and Ariza, M. P. (2015) Finite-temperature non-equilibrium quasi-continuum analysis of nanovoid growth in copper at low and high strain rates. Mechanics of Materials, 90 . pp. 253-267. ISSN 0167-6636 . http://resolver.caltech.edu/CaltechAUTHORS:20151016-125346179

Conti, Sergio and Garroni, Adriana and Ortiz, Michael (2015) The Line-Tension Approximation as the Dilute Limit of Linear-Elastic Dislocations. Archive for Rational Mechanics and Analysis, 218 (2). pp. 699-755. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20150820-094455406

Heyden, S. and Conti, S. and Ortiz, M. (2015) A nonlocal model of fracture by crazing in polymers. Mechanics of Materials, 90 . pp. 131-139. ISSN 0167-6636 . http://resolver.caltech.edu/CaltechAUTHORS:20151016-131555916

Martin, C. S. and Ariza, M. P. and Ortiz, M. (2015) Modeling thermal conductivity in silicon nanowires. GAMM-Mitteilungen, 38 (2). pp. 201-212. ISSN 0936-7195. http://resolver.caltech.edu/CaltechAUTHORS:20171117-150333066

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, 103 (4). pp. 256-274. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20150724-105805749

Baskes, M. I. and Ortiz, M. (2015) Scaling Laws in the Ductile Fracture of Metallic Crystals. Journal of Applied Mechanics, 82 (7). Art. No. 071003. ISSN 0021-8936. http://resolver.caltech.edu/CaltechAUTHORS:20150625-135311281

Wang, K. G. and Ortiz, M. and Ariza, M. P. (2015) Long-term atomistic simulation of hydrogen diffusion in metals. International Journal of Hydrogen Energy, 40 (15). pp. 5353-5358. ISSN 0360-3199. http://resolver.caltech.edu/CaltechAUTHORS:20150515-073520397

Li, B. and Pandolfi, A. and Ortiz, M. (2015) Material-point erosion simulation of dynamic fragmentation of metals. Mechanics of Materials, 80 . pp. 288-297. ISSN 0167-6636 . http://resolver.caltech.edu/CaltechAUTHORS:20150205-083744373

Heyden, S. and Li, B. and Weinberg, K. 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, 74 . pp. 175-195. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20141117-084849745

Ariza, M. P. and Martin, C. S. and Ortiz, M. (2015) Atomistic Modeling and Simulation of Long-Term Transport Phenomena in Nanomaterials. In: Computational Plasticity XIII. International Center for Numerical Methods in Engineering , Barcelona, pp. 238-247. ISBN 978-84-944244-6-5. http://resolver.caltech.edu/CaltechAUTHORS:20160930-132814884

2014

Johnson, G. and Leyendecker, S. and Ortiz, M. (2014) Discontinuous variational time integrators for complex multibody collisions. International Journal for Numerical Methods in Engineering, 100 (12). pp. 871-913. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20141219-081601928

Venturini, G. and Wang, K. and Romero, I. et al. (2014) Atomistic long-term simulation of heat and mass transport. Journal of the Mechanics and Physics of Solids, 73 . pp. 242-268. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20141015-093205200

Balzani, Daniel and Schmidt, Thomas and Ortiz, Michael (2014) Calculation of Optimal Bounds on the Probability of Failure of Soft Biological Tissues. Proceedings in Applied Mathematics and Mechanics, 14 (1). pp. 93-94. ISSN 1617-7061. http://resolver.caltech.edu/CaltechAUTHORS:20170330-072907176

Kamga, P.-H. T. and Li, B. and McKerns, M. et al. (2014) Optimal uncertainty quantification with model uncertainty and legacy data. Journal of the Mechanics and Physics of Solids, 72 . pp. 1-19. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20141201-081327318

Ariza, M. P. and Wang, K. G. and Ortiz, M. (2014) Atomistic Models of Long-Term Hydrogen Diffusion in Metals. Advances in Science and Technology, 93 . pp. 118-123. ISSN 1662-0356. http://resolver.caltech.edu/CaltechAUTHORS:20171117-150624065

Li, B. and Stalzer, M. and Ortiz, M. (2014) A massively parallel implementation of the Optimal Transportation Meshfree method for explicit solid dynamics. International Journal for Numerical Methods in Engineering, 100 (1). pp. 40-61. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20141002-101310343

Pandolfi, A. and Li, B. and Ortiz, M. (2014) Modeling fracture by material-point erosion. In: Fracture Phenomena in Nature and Technology. Springer , Cham, Switzerland, pp. 3-16. ISBN 978-3-319-04396-8. http://resolver.caltech.edu/CaltechAUTHORS:20170719-112646074

Mitchell, Stephanie J. and Pandolfi, Anna and Ortiz, Michael (2014) Metaconcrete: designed aggregates to enhance dynamic performance. Journal of the Mechanics and Physics of Solids, 65 . pp. 69-81. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20140508-084344238

Fokoua, Landry and Conti, Sergio and Ortiz, Michael (2014) Optimal Scaling in Solids Undergoing Ductile Fracture by Void Sheet Formation. Archive for Rational Mechanics and Analysis, 212 (1). pp. 331-357. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20140327-112854588

Hurtado, D. E. and Stainier, L. and Ortiz, M. (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, 97 (4). pp. 298-312. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20140116-143601176

Ponga, Mauricio and Ariza, Pilar and Ortiz, Michael et al. (2014) Linear Scaling DFT for defects in metals. In: Annual Meeting Supplemental Proceedings. John Wiley & Sons, Inc. , Hoboken, New Jersey, pp. 265-272. ISBN 9781118889725. http://resolver.caltech.edu/CaltechAUTHORS:20141124-095544294

Fokoua, Landry and Conti, Sergio and Ortiz, Michael (2014) Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity. Journal of the Mechanics and Physics of Solids, 62 . pp. 295-311. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20140130-134426507

2013

Perotti, L. E. and Bompadre, A. and Ortiz, M. (2013) Automatically inf-sup compliant diamond-mixed finite elements for Kirchhoff plates. International Journal for Numerical Methods in Engineering, 96 (7). pp. 405-424. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20131108-093716091

Pandolfi, A. and Li, B. and Ortiz, M. (2013) Modeling fracture by material-point erosion. International Journal of Fracture, 184 (1-2). pp. 3-16. ISSN 0376-9429. http://resolver.caltech.edu/CaltechAUTHORS:20140109-090108326

Sullivan, T. J. and McKerns, M. and Meyer, D. et al. (2013) Optimal Uncertainty Quantification for Legacy Data Observations of Lipschitz Functions. ESAIM-Mathematical Modelling and Numerical Analysis, 47 (6). pp. 1657-1689. ISSN 0764-583X. http://resolver.caltech.edu/CaltechAUTHORS:20131119-093417975

Español, Malena I. and Kochmann, Dennis M. and Conti, Sergio et al. (2013) A Γ-Convergence Analysis of the Quasicontinuum Method. Multiscale Modeling and Simulation, 11 (3). pp. 766-794. ISSN 1540-3459. http://resolver.caltech.edu/CaltechAUTHORS:20131104-155146267

Owhadi, H. and Scovel, C. and Sullivan, T. J. et al. (2013) Optimal Uncertainty Quantification. SIAM Review, 55 (2). pp. 271-345. ISSN 0036-1445. http://resolver.caltech.edu/CaltechAUTHORS:20130618-075057070

Reina, Celia and Li, Bo and Weinberg, Kerstin 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, 93 (6). pp. 575-611. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20130221-133820482

Perotti, L. E. and Deiterding, R. and Inaba, K. et al. (2013) Elastic response of water-filled fiber composite tubes under shock wave loading. International Journal of Solids and Structures, 50 (3-4). pp. 473-486. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20130301-090507891

Sullivan, T. J. and Koslowski, M. and Theil, F. et al. (2013) Thermalization of rate-independent processes by entropic regularization. Discrete and Continuous Dynamical Systems Series S, 6 (1). pp. 215-233. ISSN 1937-1632. http://resolver.caltech.edu/CaltechAUTHORS:20171117-150903971

Hurtado, Daniel E. and Ortiz, Michael (2013) Finite element analysis of geometrically necessary dislocations in crystal plasticity. International Journal for Numerical Methods in Engineering, 93 (1). pp. 66-79. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20130115-101157040

Suryanarayana, Phanish and Bhattacharya, Kaushik and Ortiz, Michael (2013) Coarse-graining Kohn-Sham Density Functional Theory. Journal of the Mechanics and Physics of Solids, 61 (1). pp. 38-60. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20160316-132823605

Suryanarayana, Phanish and Bhattacharya, Kaushik and Ortiz, Michael (2013) Coarse-graining Kohn–Sham Density Functional Theory. Journal of the Mechanics and Physics of Solids, 61 (1). pp. 38-60. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20121204-074348348

Ponga, M. and Ortiz, M. and Ariza, M. P. (2013) Coupled thermoelastic simulation of nanovoid cavitation by dislocation emission at finite temperature. In: Computational Methods for Coupled Problems in Science and Engineering V. International Center for Numerical Methods in Engineering , Barcelona, Spain, pp. 1213-1225. ISBN 978-84-941407-6-1. http://resolver.caltech.edu/CaltechAUTHORS:20141218-102818033

Li, B. and Perotti, L. and Adams, M. et al. (2013) Large scale Optimal Transportation Meshfree (OTM) Simulations of Hypervelocity Impact. Procedia Engineering, 58 . pp. 320-327. ISSN 1877-7058. http://resolver.caltech.edu/CaltechAUTHORS:20130619-145739093

2012

Pandolfi, A. and Ortiz, M. (2012) An eigenerosion approach to brittle fracture. International Journal for Numerical Methods in Engineering, 92 (8). pp. 694-714. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20121129-135118318

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, 92 (6). pp. 551-570. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20121129-084222336

Johnson, G. and Ortiz, M. and Leyendecker, S. (2012) A linear programming-based algorithm for the signed separation of (non-smooth) convex bodies. Computer Methods in Applied Mechanics and Engineering, 233-236 . pp. 49-67. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20121107-081815613

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, 60 (8). pp. 1432-1446. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20120720-152701866

Ariza, M. P. and Serrano, R. and Mendez, J. P. et al. (2012) Stacking faults and partial dislocations in graphene. Philosophical Magazine, 92 (16). pp. 2004-2021. ISSN 1478-6435 . http://resolver.caltech.edu/CaltechAUTHORS:20120625-113231865

Bompadre, A. and Schmidt, B. and Ortiz, M. (2012) Convergence Analysis of Meshfree Approximation Schemes. SIAM Journal on Numerical Analysis, 50 (3). pp. 1344-1366. ISSN 0036-1429. http://resolver.caltech.edu/CaltechAUTHORS:20121203-131119602

Bompadre, A. and Perotti, L. E. and Cyron, C. J. et al. (2012) Convergent meshfree approximation schemes of arbitrary order and smoothness. Computer Methods in Applied Mechanics and Engineering, 221-222 . pp. 83-103. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20120525-095216954

Kidane, A. and Lashgari, A. and Li, B. 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, 60 (5). pp. 983-1001. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20120502-091106236

Adams, M. and Lashgari, A. and Li, B. 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, 60 (5). pp. 1002-1019. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20120430-133945935

Li, B. and Kidane, A. and Ravichandran, G. et al. (2012) Verification and validation of the Optimal Transportation Meshfree (OTM) simulation of terminal ballistics. International Journal of Impact Engineering, 42 . pp. 25-36. ISSN 0734-743X. http://resolver.caltech.edu/CaltechAUTHORS:20120403-094946212

Ariza, M. P. and Tellechea, E. and Menguiano, A. S. et al. (2012) Double kink mechanisms for discrete dislocations in BCC crystals. International Journal of Fracture, 174 (1). pp. 29-40. ISSN 0376-9429. http://resolver.caltech.edu/CaltechAUTHORS:20120430-084558611

Ariza, M. P. and Romero, I. and Ponga, M. et al. (2012) HotQC simulation of nanovoid growth under tension in copper. International Journal of Fracture, 174 (1). pp. 75-85. ISSN 0376-9429. http://resolver.caltech.edu/CaltechAUTHORS:20120430-074243222

McKerns, M. and Owhadi, H. and Scovel, C. et al. (2012) The optimal uncertainty algorithm in the mystic framework. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160224-080348129

Gonzalez, Marcial and Yang, Jinkyu and Daraio, Chiara et al. (2012) Mesoscopic approach to granular crystal dynamics. Physical Review E, 85 (1). Art. No. 016604. ISSN 1539-3755. http://resolver.caltech.edu/CaltechAUTHORS:20111128-085742465

Venturini, G. and Marian, J. and Knap, 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, 10 (1). pp. 1-11. ISSN 1543-1649. http://resolver.caltech.edu/CaltechAUTHORS:20120517-081016822

2011

Kochmann, Dennis M. and Amelang, Jeffrey S. and Español, Malena I. et al. (2011) From atomistics to the continuum: a mesh-free quasicontinuum formulation based on local max-ent approximation schemes. PAMM, 11 (1). pp. 393-394. ISSN 16177061. http://resolver.caltech.edu/CaltechAUTHORS:20180223-110852480

Venturini, G. and Yang, J. Z. and Ortiz, M. et al. (2011) Replica time integrators. International Journal for Numerical Methods in Engineering, 88 (6). pp. 586-611. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20111114-145609664

Reina, C. and Marian, J. and Ortiz, M. (2011) Nanovoid nucleation by vacancy aggregation and vacancy-cluster coarsening in high-purity metallic single crystals. Physical Review B, 84 (10). p. 104117. ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:20111011-115920039

Topcu, U. and Lucas, L. J. and Owhadi, H. et al. (2011) Rigorous uncertainty quantification without integral testing. Reliability Engineering and System Safety, 96 (9). pp. 1085-1091. ISSN 0951-8320. http://resolver.caltech.edu/CaltechAUTHORS:20110822-140452319

Suryanarayana, Phanish and Bhattacharya, Kaushik and Ortiz, Michael (2011) A mesh-free convex approximation scheme for Kohn–Sham density functional theory. Journal of Computational Physics, 230 (13). pp. 5226-5238. ISSN 0021-9991. http://resolver.caltech.edu/CaltechAUTHORS:20110623-074123014

Rimoli, J. J. and Ortiz, M. (2011) A duality-based method for generating geometric representations of polycrystals. International Journal for Numerical Methods in Engineering, 86 (9). pp. 1069-1081. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20110510-105826693

Jung, Pascal and Leyendecker, Sigrid and Linn, Joachim et al. (2011) A discrete mechanics approach to the Cosserat rod theory-Part 1: static equilibria. International Journal for Numerical Methods in Engineering, 85 (1). pp. 31-60. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20110222-151826704

Ariza, M. P. and Ventura, C. and Ortiz, M. (2011) Modelo de fuerzas interatómicas para el grafeno a partir del potencial AIREBO. Revista Internacional de Métodos Numéricos Para Cálculo Y Diseño en Ingeniería, 27 (2). pp. 105-116. ISSN 0213-1315. http://resolver.caltech.edu/CaltechAUTHORS:20120113-102143268

2010

Gonzalez, M. and Schmidt, B. and Ortiz, M. (2010) Force-stepping integrators in Lagrangian mechanics. International Journal for Numerical Methods in Engineering, 84 (12). pp. 1407-1450. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20110119-101735770

Hill, D. J. and Pullin, D. and Ortiz, M. et al. (2010) An Eulerian hybrid WENO centered-difference solver for elastic-plastic solids. Journal of Computational Physics, 229 (24). pp. 9053-9072. ISSN 0021-9991. http://resolver.caltech.edu/CaltechAUTHORS:20110302-102610242

Leyendecker, S. and Ober-Bloebaum, S. and Marsden, J. E. et al. (2010) Discrete mechanics and optimal control for constrained systems. Optimal Control Applications and Methods, 31 (6). pp. 505-528. ISSN 0143-2087. http://resolver.caltech.edu/CaltechAUTHORS:20110310-100105962

Ariza, M. P. and Ortiz, M. and Serrano, R. (2010) Long-term dynamic stability of discrete dislocations in graphene at finite temperature. International Journal of Fracture, 166 (1-2). pp. 215-223. ISSN 0376-9429. http://resolver.caltech.edu/CaltechAUTHORS:20101012-093620068

Fraternali, Fernando and Negri, Matteo and Ortiz, Michael (2010) On the convergence of 3D free discontinuity models in variational fracture. International Journal of Fracture, 166 (1-2). pp. 3-11. ISSN 0376-9429. http://resolver.caltech.edu/CaltechAUTHORS:20101011-101117330

Bjerkén, C. and Ortiz, M. (2010) Evolution of anodic stress corrosion cracking in a coated material. International Journal of Fracture, 165 (2). pp. 211-221. ISSN 0376-9429. http://resolver.caltech.edu/CaltechAUTHORS:20101004-105129323

Li, B. and Habbal, F. and Ortiz, M. (2010) Optimal transportation meshfree approximation schemes for fluid and plastic flows. International Journal for Numerical Methods in Engineering, 83 (12). pp. 1541-1579. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20101022-154521445

Owhadi, H. and Scovel, C. and Sullivan, T. J. et al. (2010) Optimal Uncertainty Quantification. ACM Technical Reports, 2010-03. California Institute of Technology , Pasadena, CA. doi:10.7907/TTW6-QD19. (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20111012-113158874

Hansen, B. L. and Bronkhorst, C. A. and Ortiz, M. (2010) Dislocation subgrain structures and modeling the plastic hardening of metallic single crystals. Modelling and Simulation in Materials Science and Engineering, 18 (5). Art. No. 055001. ISSN 0965-0393. http://resolver.caltech.edu/CaltechAUTHORS:20100712-142922131

Leyendecker, Sigrid and Lucas, Leonard J. and Owhadi, Houman et al. (2010) Optimal Control Strategies for Robust Certification. Journal of Computational and Nonlinear Dynamics, 5 (3). Art. No. 031008. ISSN 1555-1423. http://resolver.caltech.edu/CaltechAUTHORS:20100709-105908209

Ariza, M. P. and Ortiz, M. (2010) Discrete dislocations in graphene. Journal of the Mechanics and Physics of Solids, 58 (5). pp. 710-734. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171117-151152380

Gonzalez, M. and Schmidt, B. and Ortiz, M. (2010) Energy-stepping integrators in Lagrangian mechanics. International Journal for Numerical Methods in Engineering, 82 (2). pp. 205-241. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20100513-140146860

Abraham, J. and Abreu, P. and Aglietta, M. et al. (2010) Measurement of the Depth of Maximum of Extensive Air Showers above 10^(18) eV. Physical Review Letters, 104 (9). Art. No.091101. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20100415-075729464

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, 47 (5). pp. 705-715. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20100225-094200302

Suryanarayana, Phanish and Vikram, Gavini and Blesgen, Thomas et al. (2010) Non-periodic finite-element formulation of Kohn–Sham density functional theory. Journal of the Mechanics and Physics of Solids, 58 (2). pp. 256-280. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20100302-131546235

Marian, J. and Venturini, G. and Hansen, B. L. 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, 18 (1). Art. No. 015003. ISSN 0965-0393. http://resolver.caltech.edu/CaltechAUTHORS:20100121-141104452

Rimoli, J. J. and Gürses, E. and Ortiz, M. (2010) Shock-induced subgrain microstructures as possible homogenous sources of hot spots and initiation sites in energetic polycrystals. Physical Review B, 81 (1). 014112. ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:20100216-152951955

Rimoli, J. J. and Ortiz, M. (2010) A three-dimensional multiscale model of intergranular hydrogen-assisted cracking. Philosophical Magazine, 90 (21). pp. 2939-2963. ISSN 1478-6435 . http://resolver.caltech.edu/CaltechAUTHORS:20100624-085532611

2009

Cyron, C. J. and Arroyo, M. and Ortiz, M. (2009) Smooth, second order, non-negative meshfree approximants selected by maximum entropy. International Journal for Numerical Methods in Engineering, 79 (13). pp. 1605-1632. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20091022-115918749

Abraham, J. and Abreu, P. and Aglietta, M. et al. (2009) Atmospheric effects on extensive air showers observed with the surface detector of the Pierre Auger observatory. Astroparticle Physics, 32 (2). pp. 89-99. ISSN 0927-6505. http://resolver.caltech.edu/CaltechAUTHORS:20091201-094133422

Larsen, C. J. and Ortiz, M. and Richardson, C. L. (2009) Fracture Paths from Front Kinetics: Relaxation and Rate Independence. Archive for Rational Mechanics and Analysis, 193 (3). pp. 539-583. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20090904-105348917

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, 8 (4). pp. 285-299. ISSN 1617-7959. http://resolver.caltech.edu/CaltechAUTHORS:20090808-142504866

Chalivendra, Vijaya B. and Hong, Soosung and Arias, Irene et al. (2009) Experimental validation of large-scale simulations of dynamic fracture along weak planes. International Journal of Impact Engineering, 36 (7). pp. 888-898. ISSN 0734-743X. http://resolver.caltech.edu/CaltechAUTHORS:20090430-111534836

Sullivan, T. and Koslowski, M. and Theil, F. 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, 57 (7). pp. 1058-1077. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20090904-125145240

Pandolfi, Anna and Ortiz, Michael (2009) A numerical model of light adjustable lens. Computational Mechanics, 44 (1). pp. 133-143. ISSN 0178-7675. http://resolver.caltech.edu/CaltechAUTHORS:20090624-131751374

Schmidt, Bernd and Leyendecker, Sigrid and Ortiz, Michael (2009) Γ-convergence of Variational Integrators for Constrained Systems. Journal of Nonlinear Science, 19 (2). pp. 153-177. ISSN 0938-8974. http://resolver.caltech.edu/CaltechAUTHORS:20090914-142014445

El Sayed, T. and Mock, Willis, Jr. and Mota, Alejandro et al. (2009) Computational assessment of ballistic impact on a high strength structural steel/polyurea composite plate. Computational Mechanics, 43 (4). pp. 525-534. ISSN 0178-7675. http://resolver.caltech.edu/CaltechAUTHORS:20090807-150328529

Schmidt, Bernd and Fraternali, Fernando and Ortiz, Michael (2009) Eigenfracture: An Eigendeformation Approach to Variational Fracture. Multiscale Modeling and Simulation, 7 (3). pp. 1237-1266. ISSN 1540-3459. http://resolver.caltech.edu/CaltechAUTHORS:SCHMmms09

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, 77 (3). pp. 437-450. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:MOSijnme09

2008

El Sayed, Tamer and Mota, Alejandro and Fraternali, Fernando et al. (2008) Biomechanics of traumatic brain injury. Computer Methods in Applied Mechanics and Engineering, 197 (51-52). pp. 4692-4701. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:ELScmame08

Lucas, L. J. and Owhadi, H. and Ortiz, M. (2008) Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities. Computer Methods in Applied Mechanics and Engineering, 197 (51-52). pp. 4591-4609. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:LUCcmame08

Ramasubramaniam, A. and Itakura, M. and Ortiz, 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, 23 (10). pp. 2757-2773. ISSN 0884-2914. http://resolver.caltech.edu/CaltechAUTHORS:RAMjmr08

Leyendecker, Sigrid and Marsden, Jerrold E. and Ortiz, Michael (2008) Variational integrators for constrained dynamical systems. Zeitschrift für Angewandte Mathematik und Mechanik, 88 (9). pp. 677-708. ISSN 0044-2275. http://resolver.caltech.edu/CaltechAUTHORS:LEYzamm08

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, 14 (3). pp. 494-516. ISSN 1292-8119 . http://resolver.caltech.edu/CaltechAUTHORS:20171121-095528613

Zielonka, M. G. and Ortiz, M. and Marsden, J. E. (2008) Variational r-adaption in elastodynamics. International Journal for Numerical Methods in Engineering, 74 (7). pp. 1162-1197. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20100917-153815166

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, 56 (5). pp. 1885-1904. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171117-152209057

Kulkarni, Yashashree and Knapp, Jaroslaw and Ortiz, Michael (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, 56 (4). pp. 1417-1449. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171121-095259651

Mota, Alejandro and Knap, Jaroslaw and Ortiz, Michael (2008) Fracture and fragmentation of simplicial finite element meshes using graphs. International Journal for Numerical Methods in Engineering, 73 (11). pp. 1547-1570. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171121-095741576

Pandolfi, Anna and Ortiz, Michael (2008) Numerical Analysis of Elastomeric Fluidic Microvalves. Sensor Letters, 6 (1). pp. 43-48. ISSN 1546-198X . http://resolver.caltech.edu/CaltechAUTHORS:20110511-082733397

Leyendecker, Sigrid and Ober-Blŏbaum, S. and Marsden, Jerrold E. et al. (2008) Discrete mechanics and optimal control for constrained systems. In: Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers , New York, pp. 623-632. ISBN 978-0-7918-4806-7 . http://resolver.caltech.edu/CaltechAUTHORS:20101005-084114302

El Sayed, Tamer and Mota, Alejandro and Fraternali, Fernando et al. (2008) A variational constitutive model for soft biological tissues. Journal of Biomechanics, 41 (7). pp. 1458-1466. ISSN 0021-9290 . http://resolver.caltech.edu/CaltechAUTHORS:20180112-160452524

2007

Gavirini, Vikram and Bhattacharya, Kaushik and Ortiz, Michael (2007) Vacancy clustering and prismatic dislocation loop formation in aluminum. Physical Review B, 76 (18). Art. No. 180101. ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:GAVprb07

Mosler, J. and Ortiz, M. (2007) Variational h-adaption in finite deformation elasticity and plasticity. International Journal for Numerical Methods in Engineering, 72 (5). pp. 505-523. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171121-135438429

Hauret, P. and Kuhl, E. and Ortiz, M. (2007) Diamond elements: a finite element/discrete-mechanics approximation scheme with guaranteed optimal convergence in incompressible elasticity. International Journal for Numerical Methods in Engineering, 72 (3). pp. 253-294. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171121-135247808

Fortunelli, A. and Ortiz, M. (2007) Constitutive model for plasticity in an amorphous polycarbonate. Physical Review E, 76 (4). Art. No. 041806. ISSN 1539-3755. http://resolver.caltech.edu/CaltechAUTHORS:FORpre07

Yavari, A. and Ortiz, M. and Bhattacharya, K. (2007) Anharmonic lattice statics analysis of 180º and 90º ferroelectric domain walls in PbTiO_3. Philosophical Magazine, 87 (26). pp. 3997-4026. ISSN 1478-6435 . http://resolver.caltech.edu/CaltechAUTHORS:20131008-142756092

Arias, Irene and Knap, Jaroslaw and Chalivendra, Vijaya B. et al. (2007) Numerical modelling and experimental validation of dynamic fracture events along weak planes. Computer Methods in Applied Mechanics and Engineering, 196 (37-40). pp. 3833-3840. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20171121-100722120

Pandolfi, Anna and Ortiz, Michael (2007) Improved design of low-pressure fluidic microvalves. Journal of Micromechanics and Microengineering, 17 (8). pp. 1487-1493. ISSN 0960-1317. http://resolver.caltech.edu/CaltechAUTHORS:PANjmm07

Gavini, Vikram and Knap, Jaroslaw and Bhattacharya, Kaushik et al. (2007) Non-periodic finite-element formulation of orbital-free density functional theory. Journal of the Mechanics and Physics of Solids , 55 (4). pp. 669-696. ISSN 0022-5096 . http://resolver.caltech.edu/CaltechAUTHORS:20101213-152730530

Gavini, Vikram and Bhattacharya, Kaushik and Ortiz, Michael (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, 55 (4). pp. 697-718. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20131007-153105987

Conti, Sergio and Hauret, Patrice and Ortiz, Michael (2007) Concurrent Multiscale Computing of Deformation Microstructure by Relaxation and Local Enrichment with Application to Single-Crystal Plasticity. Multiscale Modeling & Simulation, 6 (1). pp. 135-157. ISSN 1540-3459. http://resolver.caltech.edu/CaltechAUTHORS:CONmms07

Ramasubramaniam, A. and Ariza, M. P. and Ortiz, M. (2007) A discrete mechanics approach to dislocation dynamics in BCC crystals. Journal of the Mechanics and Physics of Solids, 55 (3). pp. 615-647. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171121-135628923

Yavari, Arash and Ortiz, Michael and Bhattacharya, Kaushik (2007) A theory of anharmonic lattice statics for analysis of defective crystals. Journal of Elasticity, 86 (1). pp. 41-83. ISSN 0374-3535. http://resolver.caltech.edu/CaltechAUTHORS:20131009-090857631

2006

Pandolfi, A. and Conti, S. and Ortiz, M. (2006) A recursive-faulting model of distributed damage in confined brittle materials. Journal of the Mechanics and Physics of Solids, 54 (9). pp. 1972-2003. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20110715-150624112

Mosler, J. and Ortiz, M. (2006) On the numerical implementation of variational arbitrary Lagrangian–Eulerian (VALE) formulations. International Journal for Numerical Methods in Engineering, 67 (9). pp. 1272-1289. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171128-102503230

Hauret, Patrice and Ortiz, Michael (2006) BV estimates for mortar methods in linear elasticity. Computer Methods in Applied Mechanics and Engineering, 195 (37-40). pp. 4783-4793. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20171128-101948445

Hayes, Robin L. and Ho, Gregory and Ortiz, Michael et al. (2006) Prediction of dislocation nucleation during nanoindentation of Al_3Mg by the orbital-free density functional theory local quasicontinuum method. Philosophical Magazine, 86 (16). pp. 2343-2358. ISSN 1478-6435 . http://resolver.caltech.edu/CaltechAUTHORS:20171128-102135095

Lew, A. and Caspersen, K. and Carter, E. A. et al. (2006) Quantum mechanics based multiscale modeling of stress-induced phase transformations in iron. Journal of the Mechanics and Physics of Solids, 54 (6). pp. 1276-1303. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171128-102325449

Braides, Andrea and Lew, Adrian J. and Ortiz, Michael (2006) Effective Cohesive Behavior of Layers of Interatomic Planes. Archive for Rational Mechanics and Analysis, 180 (2). pp. 151-182. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20171128-101614160

Yavari, Arash and Marsden, Jerrold E. and Ortiz, Michael (2006) On spatial and material covariant balance laws in elasticity. Journal of Mathematical Physics, 47 (4). Art. No. 042903. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:YAVjmp06

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, 65 (13). pp. 2167-2202. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171128-101329930

Arias, I. and Serebrinsky, S. and Ortiz, M. (2006) A phenomenological cohesive model of ferroelectric fatigue. Acta Materialia, 54 (4). pp. 975-984. ISSN 1359-6454. http://resolver.caltech.edu/CaltechAUTHORS:20171117-153818730

Yang, Q. and Stainier, L. and Ortiz, M. (2006) A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids. Journal of the Mechanics and Physics of Solids, 54 (2). pp. 401-424. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171128-103435161

Yang, Q. and Mota, A. and Ortiz, M. (2006) A Finite-Deformation Constitutive Model of Bulk Metallic Glass Plasticity. Computational Mechanics, 37 (2). pp. 194-204. ISSN 0178-7675. http://resolver.caltech.edu/CaltechAUTHORS:20171128-103311936

Weinberg, K. and Mota, A. and Ortiz, M. (2006) A variational constitutive model for porous metal plasticity. Computational Mechanics, 37 (2). pp. 142-152. ISSN 0178-7675. http://resolver.caltech.edu/CaltechAUTHORS:20171128-111130155

Arias, Irene and Serebrinsky, Santiago and Ortiz, Michael (2006) Cohesive Model of Electromechanical Fatigue for Ferroelectric Materials and Structures. In: III European Conference on Computational Mechanics. Solids, Structures and Coupled Problems in Engineering: Book of Abstracts. Springer , Dordrecht, p. 158. ISBN 978-1-4020-4994-1. http://resolver.caltech.edu/CaltechAUTHORS:20190821-105957679

Mota, Alejandro and Knap, Jaroslaw and Ortiz, Michael (2006) Three-dimensional fracture and fragmentation of artificial kidney stones. Journal of Physics: Conference Series, 46 . pp. 299-303. ISSN 1742-6596. http://resolver.caltech.edu/CaltechAUTHORS:MOTjpcs06

2005

Ariza, M. P. and Ortiz, M. (2005) Discrete Crystal Elasticity and Discrete Dislocations in Crystals. Archive for Rational Mechanics and Analysis, 178 (2). pp. 149-226. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20171128-110029910

Serebrinsky, S. and Ortiz, M. (2005) A hysteretic cohesive-law model of fatigue-crack nucleation. Scripta Materialia, 53 (10). pp. 1193-1196. ISSN 1359-6462. http://resolver.caltech.edu/CaltechAUTHORS:20171128-110948068

Cirak, Fehmi and Ortiz, Michael and Pandolfi, Anna (2005) A cohesive approach to thin-shell fracture and fragmentation. Computer Methods in Applied Mechanics and Engineering, 194 (21-24). pp. 2604-2618. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20171128-110244891

Marian, Jaime and Knap, Jaroslaw and Ortiz, Michael (2005) Nanovoid deformation in aluminum under simple shear. Acta Materialia, 53 (10). pp. 2893-2900. ISSN 1359-6454. http://resolver.caltech.edu/CaltechAUTHORS:20171128-110626684

Conti, Sergio and Ortiz, Michael (2005) Dislocation Microstructures and the Effective Behavior of Single Crystals. Archive for Rational Mechanics and Analysis, 176 (1). pp. 103-147. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20171128-110428097

Weinberg, K. and Ortiz, M. (2005) Shock wave induced damage in kidney tissue. Computational Materials Science, 32 (3-4). pp. 588-593. ISSN 0927-0256. http://resolver.caltech.edu/CaltechAUTHORS:20171128-111255148

Yang, Q. and Mota, A. and Ortiz, M. (2005) A class of variational strain-localization finite elements. International Journal for Numerical Methods in Engineering, 62 (8). pp. 1013-1037. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171128-113115594

Klug, W. S. and Feldmann, M. T. and Ortiz, M. (2005) Three-dimensional director-field predictions of viral DNA packing arrangements. Computational Mechanics, 35 (2). pp. 146-152. ISSN 0178-7675. http://resolver.caltech.edu/CaltechAUTHORS:20170408-154613814

Hayes, Robin L. and Fago, Matt and Ortiz, Michael et al. (2005) Prediction of Dislocation Nucleation During Nanoindentation by the Orbital-Free Density Functional Theory Local Quasi-continuum Method. Multiscale Modeling and Simulation, 4 (2). pp. 359-389. ISSN 1540-3459. http://resolver.caltech.edu/CaltechAUTHORS:HAYmms05

2004

Sivakumar, Srinivasan M. and Ortiz, Michael (2004) Microstructure evolution in the equal channel angular extrusion process. Computer Methods in Applied Mechanics and Engineering, 193 (48-51). pp. 5177-5194. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20171128-114315582

Weinberg, Kerstin and Colonius, Tim and Ortiz, Michael (2004) A Model for Kidney Tissue Damage under High Speed Loading. Proceedings in Applied Mathematics and Mechanics, 4 (1). pp. 234-235. ISSN 1617-7061. http://resolver.caltech.edu/CaltechAUTHORS:20190718-165126641

Koslowski, M. and Ortiz, M. (2004) A multi-phase field model of planar dislocation networks. Modelling and Simulation in Materials Science and Engineering, 12 (6). pp. 1087-1097. ISSN 0965-0393. http://resolver.caltech.edu/CaltechAUTHORS:KOSmsmse04

Marian, Jaime and Knap, Jaroslaw and Ortiz, Michael (2004) Nanovoid Cavitation by Dislocation Emission in Aluminum. Physical Review Letters, 93 (16). Art. no. 165503. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20171128-113716219

Serebrinsky, S. and Carter, E. A. and Ortiz, M. (2004) A quantum-mechanically informed continuum model of hydrogen embrittlement. Journal of the Mechanics and Physics of Solids, 52 (10). pp. 2403-2430. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171128-114149734

Caspersen, Kyle J. and Lew, Adrian and Ortiz, Michael et al. (2004) Importance of Shear in the bcc-to-hcp Transformation in Iron. Physical Review Letters, 93 (11). Art. No. 115501. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20171128-113250402

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, 61 (1). pp. 1-21. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171128-114428592

Fago, Matt and Hayes, Robin L. and Carter, Emily A. et al. (2004) Density-functional-theory-based local quasicontinuum method: Prediction of dislocation nucleation. Physical Review B, 70 (10). Art. No. 100102(R). ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:20171128-113430030

Arias, I. and Serebrinsky, S. and Ortiz, M. (2004) A cohesive model of fatigue of ferroelectric materials under electro-mechanical cyclic loading. In: Smart Structures and Materials 2004: Active Materials: Behavior and Mechanics. Proceedings of SPIE. No.5387. Society of Photo-optical Instrumentation Engineers (SPIE) , Bellingham, WA, pp. 371-378. ISBN 0819453048. http://resolver.caltech.edu/CaltechAUTHORS:20180709-154444981

Ortiz, M. and Pandolfi, A. (2004) A variational Cam-clay theory of plasticity. Computer Methods in Applied Mechanics and Engineering, 193 (27-29). pp. 2645-2666. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20171128-114018119

Lew, A. and Marsden, J. E. and Ortiz, M. et al. (2004) Variational time integrators. International Journal for Numerical Methods in Engineering, 60 (1). pp. 153-212. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20100824-071747459

Hayes, Robin L. and Ortiz, Michael and Carter, Emily A. (2004) Universal binding-energy relation for crystals that accounts for surface relaxation. Physical Review B, 69 (17). Art. No. 172104. ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:20171128-113554693

Müller, S. and Ortiz, M. (2004) On the Γ-convergence of discrete dynamics and variational integrators. Journal of Nonlinear Science, 14 (3). pp. 279-296. ISSN 0938-8974. http://resolver.caltech.edu/CaltechAUTHORS:20171128-113838315

Studer, Vincent and Hang, Giao and Pandolfi, Anna et al. (2004) Scaling properties of a low-actuation pressure microfluidic valve. Journal of Applied Physics, 95 (1). pp. 393-398. ISSN 0021-8979. http://resolver.caltech.edu/CaltechAUTHORS:STUjap04

Lew, Adrian and Neff, Patrizio and Sulsky, Deborah et al. (2004) Optimal BV estimates for a discontinuous Galerkin method for linear elasticity. Applied Mathematics Research eXpress, 2004 (3). pp. 73-106. ISSN 1687-1200. http://resolver.caltech.edu/CaltechAUTHORS:20110823-091200001

Lew, Adrian and Marsden, Jerrold E. and Ortiz, Michael et al. (2004) An Overview of Variational Integrators. In: Finite Element Methods: 1970’s and Beyond. Theory and engineering applications of computational methods. International Center for Numerical Methods in Engineering (CIMNE) , Barcelona, pp. 1-18. ISBN 9788495999498. http://resolver.caltech.edu/CaltechAUTHORS:20101005-091206576

2003

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, 459 (2040). pp. 3131-3158. ISSN 1364-5021. http://resolver.caltech.edu/CaltechAUTHORS:20171128-114743083

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, 51 (10). pp. 1815-1847. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171128-115155193

Aubry, Sylvie and Fago, Matt and Ortiz, Michael (2003) A constrained sequential-lamination algorithm for the simulation of sub-grid microstructure in martensitic materials. Computer Methods in Applied Mechanics and Engineering, 192 (26-27). pp. 2823-2843. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20171128-114612180

Cirak, Fehmi and Cisternas, Jaime E. and Cuitiño, Alberto M. et al. (2003) Oscillatory Thermomechanical Instability of an Ultrathin Catalyst. Science, 300 (5627). pp. 1932-1936. ISSN 0036-8075. http://resolver.caltech.edu/CaltechAUTHORS:20141119-075159032

Knap, J. and Ortiz, M. (2003) Effect of Indenter-Radius Size on Au(001) Nanoindentation. Physical Review Letters, 90 (22). Art. No. 226102. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20171128-115314976

Mota, A. and Klug, W. S. and Ortiz, M. et al. (2003) Finite-element simulation of firearm injury to the human cranium. Computational Mechanics, 31 (1-2). pp. 115-121. ISSN 0178-7675. http://resolver.caltech.edu/CaltechAUTHORS:20171128-115541004

Lew, A. and Marsden, J. E. and Ortiz, M. et al. (2003) Asynchronous Variational Integrators. Archive for Rational Mechanics and Analysis, 167 (2). pp. 85-146. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20100823-112128812

Stainier, L. and Cuitino, A. M. and Ortiz, M. (2003) Multiscale modelling of hardening in BCC crystal plasticity. Journal de Physique IV (Proceedings), 105 . pp. 157-164. ISSN 1155-4339. http://resolver.caltech.edu/CaltechAUTHORS:20171128-115759473

Thoutireddy, Pururav and Ortiz, Michael (2003) Material forces in Computational Mechanics: Variational ALE Method. California Institute of Technology . (Unpublished) http://resolver.caltech.edu/CaltechCACR:CACR-2003-205

Thoutireddy, P. and Ortiz, M. (2003) A Variational r-Adaption and Shape-Optimization Method for Finite-Deformation Elasticity. California Institute of Technology . (Unpublished) http://resolver.caltech.edu/CaltechCACR:CACR-2003-206

Yu, C. and Ortiz, M. and Rosakis, A. J. (2003) 3D Modelling of Impact Failure in Sandwich Structures. European Structural Integrity Society, 32 . pp. 527-537. ISSN 1566-1369. http://resolver.caltech.edu/CaltechAUTHORS:20171129-164945762

Fetecau, R. C. and Marsden, J. E. and Ortiz, M. et al. (2003) Nonsmooth Lagrangian mechanics and variational collision integrators. SIAM Journal on Applied Dynamical Systems, 2 (3). pp. 381-416. ISSN 1536-0040. http://resolver.caltech.edu/CaltechAUTHORS:FETsiamjads03

Aubry, S. and Ortiz, M. (2003) Variational Methods in Non-Convex Plasticity. In: IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains. Solid Mechanics and its Applications. No.108. Springer , Dordrecht, pp. 55-66. ISBN 9789048162390. http://resolver.caltech.edu/CaltechAUTHORS:20190826-124740658

2002

Yu, C. and Pandolfi, A. and Ortiz, M. et al. (2002) Three-dimensional modeling of intersonic shear-crack growth in asymmetrically loaded unidirectional composite plates. International Journal of Solids and Structures, 39 (25). pp. 6135-6157. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20171208-154753672

Koslowski, M. and Cuitiño, A. M. and Ortiz, M. (2002) A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals. Journal of the Mechanics and Physics of Solids, 50 (12). pp. 2597-2635. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171208-164131036

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, 50 (8). pp. 1727-1741. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171208-163351204

Pandolfi, A. and Ortiz, M. (2002) An Efficient Adaptive Procedure for Three-Dimensional Fragmentation Simulations. Engineering with Computers, 18 (2). pp. 148-159. ISSN 0177-0667. http://resolver.caltech.edu/CaltechAUTHORS:20171208-163116282

Stainier, L. and Cuitiño, A. M. and Ortiz, M. (2002) A micromechanical model of hardening, rate sensitivity and thermal softening in BCC single crystals. Journal of the Mechanics and Physics of Solids, 50 (7). pp. 1511-1545. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171208-155120960

Gioia, G. and DeSimone, A. and Ortiz, M. et al. (2002) Folding energetics in thin-film diaphragms. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 458 (2021). pp. 1223-1229. ISSN 1364-5021. http://resolver.caltech.edu/CaltechAUTHORS:20171128-144028971

Molinari, J. F. and Ortiz, M. (2002) A study of solid-particle erosion of metallic targets. International Journal of Impact Engineering, 27 (4). pp. 347-358. ISSN 0734-743X. http://resolver.caltech.edu/CaltechAUTHORS:20171208-163608575

Pandolfi, A. and Kane, C. and Marsden, J. E. et al. (2002) Time-discretized variational formulation of non-smooth frictional contact. International Journal for Numerical Methods in Engineering, 53 (8). pp. 1801-1829. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20100913-101405977

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, 53 (5). pp. 1101-1126. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171128-141604699

Cirak, Fehmi and Scott, Michael J. and Antonsson, Erik K. et al. (2002) Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision. Computer-Aided Design, 34 (2). pp. 137-148. ISSN 00104485. http://resolver.caltech.edu/CaltechAUTHORS:20171208-164357957

2001

Ortiz, M. and Radovitzky, R. A. and Repetto, E. A. (2001) The computation of the exponential and logarithmic mappings and their first and second linearizations. International Journal for Numerical Methods in Engineering, 52 (12). pp. 1431-1441. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171128-144521153

Ruiz, Gonzalo and Pandolfi, Anna and Ortiz, Michael (2001) Three‐dimensional cohesive modeling of dynamic mixed‐mode fracture. International Journal for Numerical Methods in Engineering, 52 (1-2). pp. 97-120. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171128-144716463

Knapp, J. and Ortiz, M. (2001) An analysis of the quasicontinuum method. Journal of the Mechanics and Physics of Solids, 49 (9). pp. 1899-1923. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171212-152307212

Yadav, S. and Repetto, E. A. and Ravichandran, G. et al. (2001) A computational study of the influence of thermal softening on ballistic penetration in metals. International Journal of Impact Engineering, 25 (8). pp. 787-803. ISSN 0734-743X. http://resolver.caltech.edu/CaltechAUTHORS:20150227-143957613

Nguyen, O. and Repetto, E. A. and Ortiz, M. et al. (2001) A Cohesive model of fatigue crack growth. International Journal of Fracture, 110 (4). pp. 351-369. ISSN 0376-9429. http://resolver.caltech.edu/CaltechAUTHORS:20171212-143333386

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, 51 (7). pp. 813-833. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171212-153633409

Lewis, A. C. and Radovitzky, R. and Ortiz, M. (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, 8 (2/3). pp. 213-231. ISSN 0928-1045. http://resolver.caltech.edu/CaltechAUTHORS:20171212-143743641

Cuitiño, Alberto M. and Stainier, Laurent and Wang, Guofeng et al. (2001) A multiscale approach for modeling crystalline solids. Journal of Computer-Aided Materials Design, 8 (2/3). pp. 127-149. ISSN 0928-1045. http://resolver.caltech.edu/CaltechAUTHORS:20171212-152625957

Krysl, Petr and Ortiz, Michael (2001) Extraction of boundary representation from surface triangulations. International Journal for Numerical Methods in Engineering, 50 (7). pp. 1737-1758. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171212-151905365

Krysl, Petr and Ortiz, Michael (2001) Variational Delaunay approach to the generation of tetrahedral finite element meshes. International Journal for Numerical Methods in Engineering, 50 (7). pp. 1681-1700. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20170408-162713466

Ortiz, M. and Cuitiño, A. M. and Knapp, J. et al. (2001) Mixed Atomistic–Continuum Models of Material Behavior: The Art of Transcending Atomistics and Informing Continua. MRS Bulletin, 26 (03). pp. 216-221. ISSN 0883-7694. http://resolver.caltech.edu/CaltechAUTHORS:20171212-142856626

Thoutireddy, P. and Molinari, J. F. and Repetto, E. A. et al. (2001) Tetrahedral composite finite elements. International Journal for Numerical Methods in Engineering, 53 (6). pp. 1337-1351. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171128-142213688

Molinari, J. F. and Ortiz, M. and Radovitzky, R. et al. (2001) Finite‐element modeling of dry sliding wear in metals. Engineering Computations, 18 (3/4). pp. 592-610. ISSN 0264-4401. http://resolver.caltech.edu/CaltechAUTHORS:20171213-085800984

2000

Kane, C. and Marsden, J. E. and Ortiz, M. et al. (2000) Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems. International Journal for Numerical Methods in Engineering, 49 (10). pp. 1295-1325. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20100819-120143013

Ortiz, M. and Repetto, E. A. and Stainier, L. (2000) A theory of subgrain dislocation structures. Journal of the Mechanics and Physics of Solids, 48 (10). pp. 2077-2114. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171213-085512032

West, M. and Kane, C. and Marsden, J. E. et al. (2000) Variational integrators, the Newmark scheme, and dissipative systems. In: Equadiff 99, International Conference on Differential Equations,. Singapore : World Scientific , pp. 1009-1011. ISBN 9789810243593. http://resolver.caltech.edu/CaltechAUTHORS:20100917-084012847

Ruiz, Gonzalo and Ortiz, Michael and Pandolfi, Anna (2000) Three-dimensional finite-element simulation of the dynamic Brazilian tests on concrete cylinders. International Journal for Numerical Methods in Engineering, 48 (7). pp. 963-994. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171212-154848578

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, 187 (3-4). pp. 543-569. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20171213-084912550

Pandolfi, A. and Guduru, P. R. and Ortiz, M. et al. (2000) Three dimensional cohesive-element analysis and experiments of dynamic fracture in C300 steel. International Journal of Solids and Structures, 37 (27). pp. 3733-3760. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20171213-085245977

Kane , C. and Marsden, J. E. and Ortiz, M. et al. (2000) Frictional Collisions Off Sharp Objects. In: International Conference on Differential Equations. World Scientific , pp. 979-984. ISBN 9789810243593. http://resolver.caltech.edu/CaltechAUTHORS:20100819-113606661

Cirak, Fehmi and Ortiz, Michael and Schröder, Peter (2000) Subdivision surfaces: a new paradigm for thin-shell finite-element analysis. International Journal for Numerical Methods in Engineering, 47 (12). pp. 2039-2072. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171213-090454075

Repetto, E. A. and Radovitzky, R. and Ortiz, M. (2000) Finite element simulation of dynamic fracture and fragmentation of glass rods. Computer Methods in Applied Mechanics and Engineering, 183 (1-2). pp. 3-14. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20171212-155115498

Aivazis, Michael and Goddard, William A. and Meiron, Dan et al. (2000) A virtual test facility for simulating the dynamic response of materials. Computing in Science & Engineering, 2 (2). pp. 42-53. ISSN 1521-9615. http://resolver.caltech.edu/CaltechAUTHORS:20180717-150515004

Guo, Yong and Ortiz, Michael and Belytschko, Ted et al. (2000) Triangular composite finite elements. International Journal for Numerical Methods in Engineering, 47 (1-3). pp. 287-316. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171213-090121889

Tadmor, E. B. and Phillips, R. and Ortiz, M. (2000) Hierarchical modeling in the mechanics of materials. International Journal of Solids and Structures, 37 (1-2). pp. 379-389. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20171212-153930662

1999

Kane, C. and Repetto, E. A. and Ortiz, M. et al. (1999) Finite element analysis of nonsmooth contact. Computer Methods in Applied Mechanics and Engineering, 180 (1-2). pp. 1-26. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20100819-144015326

Phillips, Rob and Rodney, David and Shenoy, Vivek et al. (1999) Hierarchical models of plasticity: dislocation nucleation and interaction. Modelling and Simulation in Materials Science and Engineering, 7 (5). pp. 769-780. ISSN 0965-0393. http://resolver.caltech.edu/CaltechAUTHORS:PHImsmse99

Kane, C. and Marsden, J. E. and Ortiz, M. (1999) Symplectic-energy-momentum preserving variational integrators. Journal of Mathematical Physics, 40 (7). pp. 3353-3371. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:KANjmp99

Shenoy, V. B. and Ortiz, M. and Phillips, R. (1999) The atomistic structure and energy of nascent dislocation loops. Modelling and Simulation in Materials Science and Engineering, 7 (4). pp. 603-619. ISSN 0965-0393. http://resolver.caltech.edu/CaltechAUTHORS:SHEmsmse99

Tadmor, E.B. and Miller, R. and Phillips, R. et al. (1999) Nanoindentation and incipient plasticity. Journal of Materials Research, 14 (6). pp. 2233-2250. ISSN 0884-2914. http://resolver.caltech.edu/CaltechAUTHORS:TADjmr99

Ortiz, M. (1999) Plastic Yielding as a Phase Transition. Journal of Applied Mechanics, 66 (2). p. 289. ISSN 0021-8936. http://resolver.caltech.edu/CaltechAUTHORS:20171213-094627254

de-Andrés, A. and Pérez, J. L. and Ortiz, M. (1999) Elastoplastic finite element analysis of three-dimensional fatigue crack growth in aluminum shafts subjected to axial loading. International Journal of Solids and Structures, 36 (15). pp. 2231-2258. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20171213-094949787

Radovitzky, R. and Ortiz, M. (1999) Error estimation and adaptive meshing in strongly nonlinear dynamic problems. Computer Methods in Applied Mechanics and Engineering, 172 (1-4). pp. 203-240. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20171213-090926881

Ortiz, M. and Stainier, L. (1999) The variational formulation of viscoplastic constitutive updates. Computer Methods in Applied Mechanics and Engineering, 171 (3-4). pp. 419-444. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20171213-091546263

Borcea, Liliana and Ortiz, Michael (1999) A multiscattering series for impedance tomography in layered media. Inverse Problems, 15 (2). pp. 515-540. ISSN 0266-5611. http://resolver.caltech.edu/CaltechAUTHORS:BORip99

Ortiz, M. and Pandolfi, A. (1999) Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis. International Journal for Numerical Methods in Engineering, 44 (9). pp. 1267-1282. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171213-094245696

Ortiz, M. and Repetto, E. A. and Si, H. (1999) A continuum model of kinetic roughening and coarsening in thin films. Journal of the Mechanics and Physics of Solids, 47 (4). pp. 697-730. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171213-091830314

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, 47 (2). pp. 397-462. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171213-092048666

Repetto, E. A. and Radovitzky, R. and Ortiz, M. et al. (1999) A Finite Element Study of Electromagnetic Riveting. Journal of Manufacturing Science and Engineering, 121 (1). p. 61. ISSN 1087-1357. http://resolver.caltech.edu/CaltechAUTHORS:20171213-090727121

Aivazis, Michael and Goddard, Bill and Meiron, Dan et al. (1999) The 1999 Center for Simulation of Dynamic Response in Materials Annual Technical Report. . (Unpublished) http://resolver.caltech.edu/CaltechASCI:1999.033

Pandolfi, A. and Krysl, P. and Ortiz, M. (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, 95 (1/4). pp. 279-297. ISSN 0376-9429. http://resolver.caltech.edu/CaltechAUTHORS:20171213-091247239

1998

Gioia, G. and Ortiz, M. (1998) Determination of thin-film debonding parameters from telephone-cord measurements. Acta Materialia, 46 (1). pp. 169-175. ISSN 1359-6454. http://resolver.caltech.edu/CaltechAUTHORS:20171213-100854187

Pandolfi, A. and Ortiz, M. (1998) Solid modeling aspects of three-dimensional fragmentation. Engineering with Computers, 14 (4). pp. 287-308. ISSN 0177-0667. http://resolver.caltech.edu/CaltechAUTHORS:20171213-100012816

Radovitzky, R. and Ortiz, M. (1998) Lagrangian finite element analysis of Newtonian fluid flows. International Journal for Numerical Methods in Engineering, 43 (4). pp. 607-619. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171213-095800584

Xu, G. and Bower, A. F. and Ortiz, M. (1998) The influence of crack trapping on the toughness of fiber reinforced composites. Journal of the Mechanics and Physics of Solids, 46 (10). pp. 1815-1833. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171213-095546620

Miller, Ron and Phillips, Rob and Beltz, Glen et al. (1998) A non-local formulation of the Peierls dislocation model. Journal of the Mechanics and Physics of Solids, 46 (10). pp. 1845-1867. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171213-100338338

Bhattacharya, K. and Ortiz, M. and Ravichandran, G. (1998) Energy-based model of compressive splitting in heterogeneous brittle solids. Journal of the Mechanics and Physics of Solids, 46 (10). pp. 2171-2181. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20131007-083528747

Miller, R. and Tadmor, E. B. and Phillips, R. et al. (1998) Quasicontinuum simulation of fracture at the atomic scale. Modelling and Simulation in Materials Science and Engineering, 6 (5). pp. 607-638. ISSN 0965-0393. http://resolver.caltech.edu/CaltechAUTHORS:MILmsmse98

Miller, R. and Ortiz, M. and Phillips, R. et al. (1998) Quasicontinuum models of fracture and plasticity. Engineering Fracture Mechanics , 61 (3-4). pp. 427-444. ISSN 0013-7944 . http://resolver.caltech.edu/CaltechAUTHORS:20171213-100643529

Chen, J. Y. and Huang, Y. and Ortiz, M. (1998) Fracture analysis of cellular materials: A strain gradient model. Journal of the Mechanics and Physics of Solids, 46 (5). pp. 789-828. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171213-101038312

Shenoy, V. B. and Miller, R. and Tadmor, E. B. et al. (1998) Quasicontinuum Models of Interfacial Structure and Deformation. Physical Review Letters, 08 (4). pp. 742-745. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:SHEprl98

Goddard, W. A. and Meiron, D. I. and Ortiz, M. et al. (1998) The 1998 Center for Simulation of Dynamic Response in Materials Annual Technical Report. . (Unpublished) http://resolver.caltech.edu/CaltechASCI:1998.032

Ortiz, Michael and Phillips, Rob (1998) Nanomechanics of Defects in Solids. In: Advances in Applied Mechanics. Vol.36. Academic Press , San Diego, CA, pp. 1-79. ISBN 978-0-12-002036-2. http://resolver.caltech.edu/CaltechAUTHORS:20171213-092247784

1997

Bigoni, D. and Ortiz, M. and Needleman, A. (1997) Effect of interfacial compliance on bifurcation of a layer bonded to a substrate. International Journal of Solids and Structures, 34 (33-34). pp. 4305-4326. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20171213-102809023

Walter, M. E. and Ravichandran, G. and Ortiz, M. (1997) Computational modeling of damage evolution in unidirectional fiber reinforced ceramic matrix composites. Computational Mechanics, 20 (1-2). pp. 192-198. ISSN 0178-7675. http://resolver.caltech.edu/CaltechAUTHORS:20150226-105909974

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, 45 (6). pp. 2577-2595. ISSN 1359-6454. http://resolver.caltech.edu/CaltechAUTHORS:20171213-101558135

Camacho, G. T. and Ortiz, M. (1997) Adaptive Lagrangian modelling of ballistic penetration of metallic targets. Computer Methods in Applied Mechanics and Engineering, 142 (3-4). pp. 269-301. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20171213-102621794

Xu, G. and Argon, A. S. and Ortiz, M. (1997) Critical configurations for dislocation nucleation from crack tips. Philosophical Magazine A, 75 (2). pp. 341-367. ISSN 0141-8610. http://resolver.caltech.edu/CaltechAUTHORS:20171213-101246565

Gioia, Gustavo and Ortiz, Michael (1997) Delamination of Compressed Thin Films. In: Advances in Applied Mechanics. Vol.33. Academic Press , San Diego, CA, pp. 119-192. ISBN 978-0-12-002033-1. http://resolver.caltech.edu/CaltechAUTHORS:20171213-102407537

1996

Tadmor, E. B. and Phillips, Rob and Ortiz, M. (1996) Mixed Atomistic and Continuum Models of Deformation in Solids. Langmuir, 12 (19). pp. 4529-4534. ISSN 0743-7463. http://resolver.caltech.edu/CaltechAUTHORS:20160607-114810939

Ortiz, M. (1996) Computational micromechanics. Computational Mechanics, 18 (5). pp. 321-338. ISSN 0178-7675. http://resolver.caltech.edu/CaltechAUTHORS:20171213-151030227

Camacho, G. T. and Ortiz, M. (1996) Computational modelling of impact damage in brittle materials. International Journal of Solids and Structures, 33 (20-22). pp. 2899-2938. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20171213-154113812

Ortiz, Miguel (1996) Juan Carlos Simo, 1952–1994. International Journal of Solids and Structures, 33 (20-22). pp. 2859-2861. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20171213-151512573

Tadmor, E. B. and Ortiz, M. and Phillips, R. (1996) Quasicontinuum analysis of defects in solids. Philosophical Magazine A, 73 (6). pp. 1529-1563. ISSN 0141-8610. http://resolver.caltech.edu/CaltechAUTHORS:20171213-150724557

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, 44 (6). pp. 863-904. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171213-152404106

Cuitiño, A. M. and Ortiz, M. (1996) Ductile fracture by vacancy condensation in f.c.c. single crystals. Acta Materialia, 44 (2). pp. 427-436. ISSN 1359-6454. http://resolver.caltech.edu/CaltechAUTHORS:20171213-152606701

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, 44 (2). pp. 251-292. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171213-152056464

1995

Marusich, T. D. and Ortiz, M. (1995) Modelling and simulation of high-speed machining. International Journal for Numerical Methods in Engineering, 38 (21). pp. 3675-3694. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171213-155828724

Xu, G. and Argon, A. S. and Ortiz, M. (1995) Nucleation of dislocations from crack tips under mixed modes of loading: Implications for brittle against ductile behaviour of crystals. Philosophical Magazine A, 72 (2). pp. 415-451. ISSN 0141-8610. http://resolver.caltech.edu/CaltechAUTHORS:20171213-155429973

1993

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, 36 (21). pp. 3675-3701. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171213-160315284

Gallego, Rafael and Ortiz, Michael (1993) A harmonic/anharmonic energy partition method for lattice statics computations. Modelling and Simulation in Materials Science and Engineering, 1 (4). pp. 417-436. ISSN 0965-0393. http://resolver.caltech.edu/CaltechAUTHORS:GALmsmse93

Bower, A. F. and Ortiz, M. (1993) The Influence of Grain Size on the Toughness of Monolithic Ceramics. Journal of Engineering Materials and Technology, 115 (3). pp. 228-236. ISSN 0094-4289. http://resolver.caltech.edu/CaltechAUTHORS:20171213-161606680

Cuitiño, A. M. and Ortiz, M. (1993) Computational modelling of single crystals. Modelling and Simulation in Materials Science and Engineering, 1 (3). pp. 225-263. ISSN 0965-0393. http://resolver.caltech.edu/CaltechAUTHORS:CUImsmse93

Bower, A. F. and Ortiz, M. (1993) An Analysis of Crack Trapping by Residual Stresses in Brittle Solids. Journal of Applied Mechanics, 60 (1). pp. 175-182. ISSN 0021-8936. http://resolver.caltech.edu/CaltechAUTHORS:20171213-161223831

Ortiz, M. and Suresh, S. (1993) Statistical Properties of Residual Stresses and Intergranular Fracture in Ceramic Materials. Journal of Applied Mechanics, 60 (1). pp. 77-84. ISSN 0021-8936. http://resolver.caltech.edu/CaltechAUTHORS:20171213-160735981

1992

Espinosa, H. D. and Raiser, G. and Clifton, R. J. 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, 72 (8). pp. 3451-3457. ISSN 0021-8979. http://resolver.caltech.edu/CaltechAUTHORS:20171213-164520270

Mohan, R. and Ortiz, M. and Shih, C. F. (1992) Mode mixity effects on crack tip deformation in ductile single crystals. Acta Metallurgica et Materialia, 40 (8). pp. 1907-1922. ISSN 0956-7151. http://resolver.caltech.edu/CaltechAUTHORS:20171213-164302776

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, 59 (1). pp. 48-53. ISSN 0021-8936. http://resolver.caltech.edu/CaltechAUTHORS:20171213-163302163

Mohan, R. and Ortiz, M. and Shih, C. F. (1992) Influence of Cracking Direction on Interfacial Fracture in Bicrystals With Symmetric Tilt Boundary. Journal of Applied Mechanics, 59 (1). pp. 84-91. ISSN 0021-8936. http://resolver.caltech.edu/CaltechAUTHORS:20171213-163502078

Suo, Z. and Ortiz, M. and Needleman, A. (1992) Stability of solids with interfaces. Journal of the Mechanics and Physics of Solids, 40 (3). pp. 613-640. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171213-162919805

Mohan, R. and Ortiz, M. and Shih, C. F. (1992) An analysis of cracks in ductile single crystals—I. Anti-plane shear. Journal of the Mechanics and Physics of Solids, 40 (2). pp. 291-313. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171213-163842621

Mohan, R. and Ortiz, M. and Shih, C. F. (1992) An analysis of cracks in ductile single crystals—II. Mode I loading. Journal of the Mechanics and Physics of Solids, 40 (2). pp. 315-337. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171213-164121235

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, 9 (4). pp. 437-451. ISSN 0264-4401. http://resolver.caltech.edu/CaltechAUTHORS:20180102-160938210

1991

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, 92 (3). pp. 397-398. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20180102-162412775

Ortiz, M. and Quigley, J. J., IV (1991) Adaptive mesh refinement in strain localization problems. Computer Methods in Applied Mechanics and Engineering, 90 (1-3). pp. 781-804. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20180102-162039472

Needleman, A. and Ortiz, M. (1991) Effect of boundaries and interfaces on shear-band localization. International Journal of Solids and Structures, 28 (7). pp. 859-877. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20180102-162606388

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, 39 (6). pp. 815-858. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20180102-162806476

1990

Raiser, G. and Clifton, R. J. and Ortiz, M. (1990) A soft-recovery plate impact experiment for studying microcracking in ceramics. Mechanics of Materials, 10 (1-2). pp. 43-58. ISSN 0167-6636 . http://resolver.caltech.edu/CaltechAUTHORS:20180103-134318947

Ortiz, M. and Giannakopoulos, A. E. (1990) Crack propagation in monolithic ceramics under mixed mode loading. International Journal of Fracture, 44 (4). pp. 233-258. ISSN 0376-9429. http://resolver.caltech.edu/CaltechAUTHORS:20180110-093214865

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, 14 (2). pp. 93-124. ISSN 0363-9061. http://resolver.caltech.edu/CaltechAUTHORS:20180104-142923188

Moran, B. and Ortiz, M. and Shih, C. F. (1990) Formulation of implicit finite element methods for multiplicative finite deformation plasticity. International Journal for Numerical Methods in Engineering, 29 (3). pp. 483-514. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20180104-142558434

Ortiz, Michael and Blume, Janet A. (1990) Effect of decohesion and sliding on bimaterial crack-tip fields. International Journal of Fracture, 42 (2). pp. 117-128. ISSN 0376-9429. http://resolver.caltech.edu/CaltechAUTHORS:20180104-142347004

Ortiz, M. and Giannakopoulos, A. E. (1990) Mixed mode crack-tip fields in monolithic ceramics. International Journal of Solids and Structures, 26 (7). pp. 705-723. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20180103-140631024

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, 38 (4). pp. 443-480. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20180104-143112109

Symington, M. and Ortiz, M. and Shih, C. F. (1990) A finite element method for determining the angular variation of asymptotic crack tip fields. International Journal of Fracture, 45 (1). pp. 51-64. ISSN 0376-9429. http://resolver.caltech.edu/CaltechAUTHORS:20180103-133602693

1989

Ortiz, M. and Sotelino, E. D. and Nour-Omid, B. (1989) Efficiency of group implicit concurrent algorithms for transient finite element analysis. International Journal for Numerical Methods in Engineering, 28 (12). pp. 2761-2776. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20180104-144109186

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, 28 (8). pp. 1839-1853. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20180104-144352841

Nacar, A. and Needleman, A. and Ortiz, M. (1989) A finite element method for analyzing localization in rate dependent solids at finite strains. Computer Methods in Applied Mechanics and Engineering, 73 (3). pp. 235-258. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20180104-144547414

Leroy, Y. and Ortiz, M. (1989) Finite element analysis of strain localization in frictional materials. International Journal for Numerical and Analytical Methods in Geomechanics, 13 (1). pp. 53-74. ISSN 0363-9061. http://resolver.caltech.edu/CaltechAUTHORS:20180104-144801759

Leroy, Y. and Ortiz, M. (1989) Localization analysis under dynamic loading. In: Mechanical properties of Materials at high rates of strain, 1989. Institute of Physics Conference Series. No.102. Institute of Physics , New York, NY, pp. 257-265. ISBN 085498058X. http://resolver.caltech.edu/CaltechAUTHORS:20180110-100539242

1988

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, 26 (7). pp. 1551-1566. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20180110-093224078

Ortiz, Michael and Nour-Omid, Bahram and Sotelino, Elisa D. (1988) Accuracy of a class of concurrent algorithms for transient finite element analysis. International Journal for Numerical Methods in Engineering, 26 (2). pp. 379-391. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20180104-145355217

Ortiz, M. (1988) Microcrack coalescence and macroscopic crack growth initiation in brittle solids. International Journal of Solids and Structures, 24 (3). pp. 231-250. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20180104-150149978

Ortiz, M. and Molinari, A. (1988) Microstructural thermal stresses in ceramic materials. Journal of the Mechanics and Physics of Solids, 36 (4). pp. 385-400. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20180104-145941926

1987

Ortiz, M. (1987) An analytical study of the localized failure modes of concrete. Mechanics of Materials, 6 (2). pp. 159-174. ISSN 0167-6636 . http://resolver.caltech.edu/CaltechAUTHORS:20180104-151213758

Ortiz, M. (1987) A Continuum Theory of Crack Shielding in Ceramics. Journal of Applied Mechanics, 54 (1). pp. 54-58. ISSN 0021-8936. http://resolver.caltech.edu/CaltechAUTHORS:20180104-150806608

Ortiz, Michael and Leroy, Yves and Needleman, Alan (1987) A finite element method for localized failure analysis. Computer Methods in Applied Mechanics and Engineering, 61 (2). pp. 189-214. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20180104-150608642

Molinari, A. and Ortiz, M. (1987) Global viscoelastic behavior of heterogeneous thermoelastic materials. International Journal of Solids and Structures, 23 (9). pp. 1285-1300. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20180104-151938716

Ortiz, M. (1987) A method of homogenization of elastic media. International Journal of Engineering Science, 25 (7). pp. 923-934. ISSN 0020-7225. http://resolver.caltech.edu/CaltechAUTHORS:20180104-151030750

1986

Ortiz, Michael and Nour-Omid, Bahram (1986) Unconditionally stable concurrent procedures for transient finite element analysis. Computer Methods in Applied Mechanics and Engineering, 58 (2). pp. 151-174. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20180105-150834527

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, 23 (3). pp. 353-366. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20180105-150600580

Ortiz, Michael (1986) A note on energy conservation and stability of nonlinear time-stepping algorithms. Computers and Structures, 24 (1). pp. 167-168. ISSN 0045-7949. http://resolver.caltech.edu/CaltechAUTHORS:20180105-151113322

1985

Ortiz, M. and Popov, E. P. (1985) Accuracy and stability of integration algorithms for elastoplastic constitutive relations. International Journal for Numerical Methods in Engineering, 21 (9). pp. 1561-1576. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20180105-151552444

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, 49 (2). pp. 221-245. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20180105-151340644

Ortiz, Michael (1985) A constitutive theory for the inelastic behavior of concrete. Mechanics of Materials, 4 (1). pp. 67-93. ISSN 0167-6636 . http://resolver.caltech.edu/CaltechAUTHORS:20180105-151816056

Ortiz, M. (1985) A variational formulation for convection-diffusion problems. International Journal of Engineering Science, 23 (7). pp. 717-731. ISSN 0020-7225. http://resolver.caltech.edu/CaltechAUTHORS:20180105-152010629

1983

Pinsky, Peter M. and Ortiz, Miguel and Pister, Karl S. (1983) Numerical integration of rate constitutive equations in finite deformation analysis. Computer Methods in Applied Mechanics and Engineering, 40 (2). pp. 137-158. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20180105-152657675

Ortiz, Miguel and Popov, Egor P. (1983) Distortional Hardening Rules for Metal Plasticity. Journal of Engineering Mechanics, 109 (4). pp. 1042-1057. ISSN 0733-9399. http://resolver.caltech.edu/CaltechAUTHORS:20180105-153010711

Ortiz, Miguel and Pinsky, Peter M. and Taylor, Robert L. (1983) Operator split methods for the numerical solution of the elastoplastic dynamic problem. Computer Methods in Applied Mechanics and Engineering, 39 (2). pp. 137-157. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20180105-153718420

Ortiz, Miguel and Pinsky, Peter M. and Taylor, Robert L. (1983) Unconditionally stable element-by-element algorithms for dynamic problems. Computer Methods in Applied Mechanics and Engineering, 36 (2). pp. 223-239. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20180105-153425697

Pinsky, Peter M. and Ortiz, Miguel and Taylor, Robert L. (1983) Operator split methods in the numerical solution of the finite deformation elastoplastic dynamic problem. Computers and Structures, 17 (3). pp. 345-359. ISSN 0045-7949. http://resolver.caltech.edu/CaltechAUTHORS:20180105-152230031

1982

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, 383 (1784). pp. 101-125. ISSN 1364-5021. http://resolver.caltech.edu/CaltechAUTHORS:20180105-154518480

Ortiz, Miguel and Popov, Egor P. (1982) Plain concrete as a composite material. Mechanics of Materials, 1 (2). pp. 139-150. ISSN 0167-6636 . http://resolver.caltech.edu/CaltechAUTHORS:20180105-153942293

Ortiz, M. and Popov, E. P. (1982) A Statistical Theory of Polycrystalline Plasticity. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 379 (1777). pp. 439-458. ISSN 1364-5021. http://resolver.caltech.edu/CaltechAUTHORS:20180105-154320925

This list was generated on Wed Sep 18 05:27:20 2019 PDT.