Number of items: **358**.

## 2020

Ponga, Mauricio and Bhattacharya, Kaushik and Ortiz, Michael
(2020)
*Large scale ab-initio simulations of dislocations.*
Journal of Computational Physics, 407
.
Art. No. 109249.
ISSN 0021-9991.
https://resolver.caltech.edu/CaltechAUTHORS:20200110-142048574

Schill, W.
and
Mendez, J. P.
and
Stainier, L.
et al.
(2020)
*Shear localization as a mesoscopic stress-relaxation mechanism in fused silica glass at high strain rates.*
Journal of the Mechanics and Physics of Solids
.
ISSN 0022-5096.
(In Press)
https://resolver.caltech.edu/CaltechAUTHORS:20200320-094313784

Conti, S. and Müller, S. and Ortiz, M.
(2020)
*Data-Driven Finite Elasticity.*
Archive for Rational Mechanics and Analysis
.
ISSN 0003-9527.
(In Press)
https://resolver.caltech.edu/CaltechAUTHORS:20200313-132836970

Arca, F.
and
Mendez, J. P.
and
Ortiz, M.
et al.
(2020)
*Spontaneous twinning as an accommodation mechanism in monolayer graphene.*
European Journal of Mechanics - A/Solids, 80
.
Art. No. 103923.
ISSN 0997-7538.
https://resolver.caltech.edu/CaltechAUTHORS:20191205-090217849

Wu, Jianyang
and
He, Jianying
and
Ariza, Pilar
et al.
(2020)
*Supergiant elasticity and fracture of 3D spirally wound MoS₂.*
International Journal of Fracture
.
ISSN 0376-9429.
(In Press)
https://resolver.caltech.edu/CaltechAUTHORS:20200326-080855730

Sun, X. and Kirchdoerfer, T. and Ortiz, M.
(2020)
*Rigorous Uncertainty Quantification and Design with Uncertain Material Models.*
International Journal of Impact Engineering, 136
.
Art. No. 103418.
ISSN 0734-743X.
https://resolver.caltech.edu/CaltechAUTHORS:20191028-142036143

Conti, S. and Müller, S. and Ortiz, M.
(2020)
*Symmetric Div-Quasiconvexity and the Relaxation of Static Problems.*
Archive for Rational Mechanics and Analysis, 235
(2).
pp. 841-880.
ISSN 0003-9527.
https://resolver.caltech.edu/CaltechAUTHORS:20190805-150303687

Mittelstein, David R.
and
Ye, Jian
and
Schibber, Erika F.
et al.
(2020)
*Selective Ablation of Cancer Cells with Low Intensity Pulsed Ultrasound.*
Applied Physics Letters, 116
(1).
Art. No. 013701.
ISSN 0003-6951.
https://resolver.caltech.edu/CaltechAUTHORS:20191002-094950438

## 2019

Ríos, J. D.
and
Cifuentes, H.
and
Leiva, C.
et al.
(2019)
*Effect of polypropylene fibers on the fracture behavior of heated ultra-high performance concrete.*
International Journal of Fracture
.
ISSN 0376-9429.
(In Press)
https://resolver.caltech.edu/CaltechAUTHORS:20191203-154217834

Schibber, E. F.
and
Mittelstein, D.
and
Gharib, M.
et al.
(2019)
*A Dynamical Model of Oncotripsy by Mechanical Cell Fatigue: Selective Cancer Cell Ablation by Low-Intensity Pulsed Ultrasound (LIPUS).*
.
(Unpublished)
https://resolver.caltech.edu/CaltechAUTHORS:20191223-114059821

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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://resolver.caltech.edu/CaltechAUTHORS:20160316-133550600

McKeon, Beverley and Bhattacharya, Kaushik and Ortiz, Michael
(2016)
*Morphing surfaces for the control of boundary layer transition.*
Patent number: US9315259B1.
https://resolver.caltech.edu/CaltechAUTHORS:20200224-133536093

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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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
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pp. 69-81.
ISSN 0022-5096.
https://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.
https://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.
https://resolver.caltech.edu/CaltechAUTHORS:20140116-143601176

Ponga, Mauricio
and
Ariza, Pilar
and
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et al.
(2014)
*Linear Scaling DFT for defects in metals.*
In:
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John Wiley & Sons, Inc.
, Hoboken, New Jersey, pp. 265-272.
ISBN 9781118889725.
https://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
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pp. 295-311.
ISSN 0022-5096.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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
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pp. 320-327.
ISSN 1877-7058.
https://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.
https://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.
https://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
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pp. 49-67.
ISSN 0045-7825.
https://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.
https://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.
https://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.
https://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
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pp. 83-103.
ISSN 0045-7825.
https://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.
https://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.
https://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
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pp. 25-36.
ISSN 0734-743X.
https://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.
https://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.
https://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)
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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)
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://resolver.caltech.edu/CaltechAUTHORS:20191018-114729501

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.
https://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.
https://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.
https://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.
https://resolver.caltech.edu/CaltechAUTHORS:20190821-105957679

Mosler, J. and Ortiz, M.
(2006)
*Finite strain r-adaption based on a fully variational framework.*
In:
III European Conference on Computational Mechanics - Solids, Structures and Coupled Problems in Engineering: Book of Abstracts.
Springer
, Dordrecht, p. 407.
ISBN 978-1-4020-4994-1.
https://resolver.caltech.edu/CaltechAUTHORS:20191008-153941494

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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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)
https://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)
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://resolver.caltech.edu/CaltechAUTHORS:20171208-164357957

Rosakis, A. J.
and
Yu, C.
and
Ortiz, M.
et al.
(2002)
*Experimental and Numerical Investigation of Shear-dominated Intersonic Crack Growth and Friction in Unidirectional Composites.*
In:
Recent Advances in Experimental Mechanics: In Honor of Isaac M. Daniel.
Kluwer Academic Publishers
, Dordrecht, pp. 275-288.
ISBN 978-1-4020-0683-8.
https://resolver.caltech.edu/CaltechAUTHORS:20200219-114918280

## 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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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)
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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)
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://resolver.caltech.edu/CaltechAUTHORS:20160607-114810939

Ortiz, M.
(1996)
*Computational micromechanics.*
Computational Mechanics, 18
(5).
pp. 321-338.
ISSN 0178-7675.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://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.
https://resolver.caltech.edu/CaltechAUTHORS:20180105-154320925

This list was generated on **Sun Mar 29 10:41:52 2020 PDT**.