Eggersmann, R.; Kirchdoerfer, T.; Reese, S.; Stainier, L.; Ortiz, M. Model-free data-driven inelasticity. (English) Zbl 1441.74048 Comput. Methods Appl. Mech. Eng. 350, 81-99 (2019). MSC: 74D05 35Q74 74B99 74C10 PDF BibTeX XML Cite \textit{R. Eggersmann} et al., Comput. Methods Appl. Mech. Eng. 350, 81--99 (2019; Zbl 1441.74048) Full Text: DOI arXiv Link OpenURL
Dahlberg, C. F. O.; Ortiz, M. Fractional strain-gradient plasticity. (English) Zbl 1472.74035 Eur. J. Mech., A, Solids 75, 348-354 (2019). MSC: 74C99 74S40 74-10 PDF BibTeX XML Cite \textit{C. F. O. Dahlberg} and \textit{M. Ortiz}, Eur. J. Mech., A, Solids 75, 348--354 (2019; Zbl 1472.74035) Full Text: DOI OpenURL
Reina, Celia; Fokoua Djodom, Landry; Ortiz, Michael; Conti, Sergio Kinematics of elasto-plasticity: validity and limits of applicability of \(\mathbf{F}=\mathbf{F}^{\mathrm{e}}\mathbf{F}^{\mathrm{p}}\) for general three-dimensional deformations. (English) Zbl 1479.74016 J. Mech. Phys. Solids 121, 99-113 (2018). MSC: 74C05 74A05 PDF BibTeX XML Cite \textit{C. Reina} et al., J. Mech. Phys. Solids 121, 99--113 (2018; Zbl 1479.74016) Full Text: DOI OpenURL
Dolzmann, Georg (ed.); Garroni, Adriana (ed.); Hackl, Klaus (ed.); Ortiz, Michael (ed.) Variational methods for the modelling of inelastic solids. Abstracts from the workshop held February 4–10, 2018. (English) Zbl 1409.00085 Oberwolfach Rep. 15, No. 1, 255-309 (2018). MSC: 00B05 00B25 74Cxx 74Bxx 74Dxx 74Rxx 74-06 74Pxx PDF BibTeX XML Cite \textit{G. Dolzmann} (ed.) et al., Oberwolfach Rep. 15, No. 1, 255--309 (2018; Zbl 1409.00085) Full Text: DOI OpenURL
Hurtado, D. E.; Stainier, L.; Ortiz, M. The special-linear update: an application of differential manifold theory to the update of isochoric plasticity flow rules. (English) Zbl 1352.74065 Int. J. Numer. Methods Eng. 97, No. 4, 298-312 (2014). MSC: 74C10 74H15 53C42 PDF BibTeX XML Cite \textit{D. E. Hurtado} et al., Int. J. Numer. Methods Eng. 97, No. 4, 298--312 (2014; Zbl 1352.74065) Full Text: DOI HAL OpenURL
Fokoua, Landry; Conti, Sergio; Ortiz, Michael Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity. (English) Zbl 1323.74074 J. Mech. Phys. Solids 62, 295-311 (2014). MSC: 74R20 74M25 74C99 PDF BibTeX XML Cite \textit{L. Fokoua} et al., J. Mech. Phys. Solids 62, 295--311 (2014; Zbl 1323.74074) Full Text: DOI OpenURL
Fokoua, Landry; Conti, Sergio; Ortiz, Michael Optimal scaling in solids undergoing ductile fracture by void sheet formation. (English) Zbl 1294.35161 Arch. Ration. Mech. Anal. 212, No. 1, 331-357 (2014). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 35Q74 74C99 PDF BibTeX XML Cite \textit{L. Fokoua} et al., Arch. Ration. Mech. Anal. 212, No. 1, 331--357 (2014; Zbl 1294.35161) Full Text: DOI OpenURL
Hurtado, Daniel E.; Ortiz, Michael Finite element analysis of geometrically necessary dislocations in crystal plasticity. (English) Zbl 1352.74079 Int. J. Numer. Methods Eng. 93, No. 1, 66-79 (2013). MSC: 74E15 74S05 65N30 74C15 74N05 PDF BibTeX XML Cite \textit{D. E. Hurtado} and \textit{M. Ortiz}, Int. J. Numer. Methods Eng. 93, No. 1, 66--79 (2013; Zbl 1352.74079) Full Text: DOI OpenURL
Balzani, Daniel; Ortiz, Michael Relaxed incremental variational formulation for damage at large strains with application to fiber-reinforced materials and materials with truss-like microstructures. (English) Zbl 1352.74067 Int. J. Numer. Methods Eng. 92, No. 6, 551-570 (2012). MSC: 74C15 74A45 74M25 74S30 PDF BibTeX XML Cite \textit{D. Balzani} and \textit{M. Ortiz}, Int. J. Numer. Methods Eng. 92, No. 6, 551--570 (2012; Zbl 1352.74067) Full Text: DOI OpenURL
Mielke, Alexander (ed.); Ortiz, Michael (ed.) Microstructures in solids: from quantum models to continua. Abstracts from the workshop held March 14th – March 20th, 2010. (English) Zbl 1209.00066 Oberwolfach Rep. 7, No. 1, 733-798 (2010). MSC: 00B05 82-06 74-06 35-06 35Q74 82Dxx 49J45 74A60 74Cxx 74N15 PDF BibTeX XML Cite \textit{A. Mielke} (ed.) and \textit{M. Ortiz} (ed.), Oberwolfach Rep. 7, No. 1, 733--798 (2010; Zbl 1209.00066) Full Text: DOI Link OpenURL
Hill, D. J.; Pullin, D.; Ortiz, M.; Meiron, D. An Eulerian hybrid WENO centered-difference solver for elastic-plastic solids. (English) Zbl 1427.74028 J. Comput. Phys. 229, No. 24, 9053-9072 (2010). MSC: 74B20 74C10 74S20 PDF BibTeX XML Cite \textit{D. J. Hill} et al., J. Comput. Phys. 229, No. 24, 9053--9072 (2010; Zbl 1427.74028) Full Text: DOI OpenURL
Stainier, L.; Ortiz, M. Study and validation of a variational theory of thermo-mechanical coupling in finite visco-plasticity. (English) Zbl 1183.74037 Int. J. Solids Struct. 47, No. 5, 705-715 (2010). MSC: 74C20 74A15 74F05 PDF BibTeX XML Cite \textit{L. Stainier} and \textit{M. Ortiz}, Int. J. Solids Struct. 47, No. 5, 705--715 (2010; Zbl 1183.74037) Full Text: DOI OpenURL
Mosler, J.; Ortiz, M. An error-estimate-free and remapping-free variational mesh refinement and coarsening method for dissipative solids at finite strains. (English) Zbl 1155.74412 Int. J. Numer. Methods Eng. 77, No. 3, 437-450 (2009). MSC: 74S05 74C15 PDF BibTeX XML Cite \textit{J. Mosler} and \textit{M. Ortiz}, Int. J. Numer. Methods Eng. 77, No. 3, 437--450 (2009; Zbl 1155.74412) Full Text: DOI OpenURL
Hayes, Robin L.; Fago, Matthew; Ortiz, Michael; Carter, Emily A. Erratum: Prediction of dislocation nucleation during nanoindentation by the orbital-free density functional theory local quasi-continuum method. (English) Zbl 1171.74322 Multiscale Model. Simul. 7, No. 2, 1003 (2008). MSC: 74C15 74E05 74S05 81V55 92E10 PDF BibTeX XML Cite \textit{R. L. Hayes} et al., Multiscale Model. Simul. 7, No. 2, 1003 (2008; Zbl 1171.74322) Full Text: DOI OpenURL
Conti, Sergio; Hauret, Patrice; Ortiz, Michael Concurrent multiscale computing of deformation microstructure by relaxation and local enrichment with application to single-crystal plasticity. (English) Zbl 1135.74005 Multiscale Model. Simul. 6, No. 1, 135-157 (2007). MSC: 74A60 74E15 74C99 74S05 PDF BibTeX XML Cite \textit{S. Conti} et al., Multiscale Model. Simul. 6, No. 1, 135--157 (2007; Zbl 1135.74005) Full Text: DOI OpenURL
Yang, Q.; Stainier, L.; Ortiz, M. A variational formulation of the coupled thermo-mechanical boundary value problem for general dissipative solids. (English) Zbl 1120.74367 J. Mech. Phys. Solids 54, No. 2, 401-424 (2006). MSC: 74C20 74F05 80A20 80M30 PDF BibTeX XML Cite \textit{Q. Yang} et al., J. Mech. Phys. Solids 54, No. 2, 401--424 (2006; Zbl 1120.74367) Full Text: DOI OpenURL
Yang, Q.; Mota, A.; Ortiz, M. A finite-deformation constitutive model of bulk metallic glass plasticity. (English) Zbl 1138.74314 Comput. Mech. 37, No. 2, 194-204 (2006). MSC: 74C15 74-05 PDF BibTeX XML Cite \textit{Q. Yang} et al., Comput. Mech. 37, No. 2, 194--204 (2006; Zbl 1138.74314) Full Text: DOI OpenURL
Weinberg, K.; Mota, A.; Ortiz, M. A variational constitutive model for porous metal plasticity. (English) Zbl 1102.74007 Comput. Mech. 37, No. 2, 142-152 (2006). MSC: 74C15 74F10 74G65 74S05 PDF BibTeX XML Cite \textit{K. Weinberg} et al., Comput. Mech. 37, No. 2, 142--152 (2006; Zbl 1102.74007) Full Text: DOI OpenURL
Hackl, Klaus (ed.); Conti, Sergio (ed.); Ortiz, Michael (ed.) Report 52/2005: Mini-workshop: Analysis and computation of microstructures in finite plasticity (November 13th – November 19th, 2005). (English) Zbl 1110.74300 Oberwolfach Rep. 2, No. 4, 2979-3017 (2005). MSC: 74-06 49-06 00B05 74C15 74R20 PDF BibTeX XML Cite \textit{K. Hackl} (ed.) et al., Oberwolfach Rep. 2, No. 4, 2979--3017 (2005; Zbl 1110.74300) Full Text: DOI Link OpenURL
Yang, Q.; Mota, A.; Ortiz, M. A class of variational strain-localization finite elements. (English) Zbl 1081.74045 Int. J. Numer. Methods Eng. 62, No. 8, 1013-1037 (2005). MSC: 74S05 74C15 PDF BibTeX XML Cite \textit{Q. Yang} et al., Int. J. Numer. Methods Eng. 62, No. 8, 1013--1037 (2005; Zbl 1081.74045) Full Text: DOI OpenURL
Hayes, Robin L.; Fago, Matt; Ortiz, Michael; Carter, Emily A. Prediction of dislocation nucleation during nanoindentation by the orbital-free density functional theory local quasi-continuum method. (English) Zbl 1108.74319 Multiscale Model. Simul. 4, No. 2, 359-389 (2005); erratum ibid. 7, No. 2, 1003 (2008). MSC: 74C15 74E05 74S05 81V55 92E10 PDF BibTeX XML Cite \textit{R. L. Hayes} et al., Multiscale Model. Simul. 4, No. 2, 359--389 (2005; Zbl 1108.74319) Full Text: DOI Link OpenURL
Conti, Sergio; Ortiz, Michael Dislocation microstructures and the effective behavior of single crystals. (English) Zbl 1064.74144 Arch. Ration. Mech. Anal. 176, No. 1, 103-147 (2005). MSC: 74Q15 74E15 74C99 74A60 PDF BibTeX XML Cite \textit{S. Conti} and \textit{M. Ortiz}, Arch. Ration. Mech. Anal. 176, No. 1, 103--147 (2005; Zbl 1064.74144) Full Text: DOI Link OpenURL
Sivakumar, Srinivasan M.; Ortiz, Michael Microstructure evolution in the equal channel angular extrusion process. (English) Zbl 1112.74358 Comput. Methods Appl. Mech. Eng. 193, No. 48-51, 5177-5194 (2004). MSC: 74E15 74C15 74S05 PDF BibTeX XML Cite \textit{S. M. Sivakumar} and \textit{M. Ortiz}, Comput. Methods Appl. Mech. Eng. 193, No. 48--51, 5177--5194 (2004; Zbl 1112.74358) Full Text: DOI OpenURL
Ortiz, M.; Pandolfi, A. A variational Cam-clay theory of plasticity. (English) Zbl 1067.74510 Comput. Methods Appl. Mech. Eng. 193, No. 27-29, 2645-2666 (2004). MSC: 74C15 74L10 74R20 74E20 PDF BibTeX XML Cite \textit{M. Ortiz} and \textit{A. Pandolfi}, Comput. Methods Appl. Mech. Eng. 193, No. 27--29, 2645--2666 (2004; Zbl 1067.74510) Full Text: DOI OpenURL
Aubry, S.; Ortiz, M. The mechanics of deformation-induced subgrain-dislocation structures in metallic crystals at large strains. (English) Zbl 1041.74506 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2040, 3131-3158 (2003). MSC: 74E15 74C15 74N05 74N15 82D25 PDF BibTeX XML Cite \textit{S. Aubry} and \textit{M. Ortiz}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2040, 3131--3158 (2003; Zbl 1041.74506) Full Text: DOI OpenURL
Aubry, S.; Ortiz, M. Variational methods in non-convex plasticity. (English) Zbl 1040.74013 Miehe, Christian (ed.), IUTAM symposium on computational mechanics of solid materials at large strains. Proceedings of the IUTAM symposium, Stuttgart, Germany, August 20–24, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1170-9/hbk). Solid Mech. Appl. 108, 55-66 (2003). MSC: 74C20 74E15 74G65 PDF BibTeX XML Cite \textit{S. Aubry} and \textit{M. Ortiz}, Solid Mech. Appl. 108, 55--66 (2003; Zbl 1040.74013) OpenURL
Stainier, L.; Cuitiño, A. M.; Ortiz, M. A micromechanical model of hardening, rate sensitivity and thermal softening in BCC single crystals. (English) Zbl 1071.74553 J. Mech. Phys. Solids 50, No. 7, 1511-1545 (2002). MSC: 74E15 74C20 74A60 PDF BibTeX XML Cite \textit{L. Stainier} et al., J. Mech. Phys. Solids 50, No. 7, 1511--1545 (2002; Zbl 1071.74553) Full Text: DOI arXiv OpenURL
Tadmor, E. B.; Phillips, R.; Ortiz, M. Hierarchical modeling in the mechanics of materials. (English) Zbl 1075.74024 Int. J. Solids Struct. 37, No. 1-2, 379-389 (2000). MSC: 74C99 74E99 74-02 PDF BibTeX XML Cite \textit{E. B. Tadmor} et al., Int. J. Solids Struct. 37, No. 1--2, 379--389 (2000; Zbl 1075.74024) Full Text: DOI OpenURL
Ortiz, M.; Repetto, E. A. Nonconvex energy minimization and dislocation structures in ductile single crystals. (English) Zbl 0964.74012 J. Mech. Phys. Solids 47, No. 2, 397-462 (1999). MSC: 74E15 74G65 74C15 82D25 PDF BibTeX XML Cite \textit{M. Ortiz} and \textit{E. A. Repetto}, J. Mech. Phys. Solids 47, No. 2, 397--462 (1999; Zbl 0964.74012) Full Text: DOI OpenURL
Ortiz, M.; Stainier, L. The variational formulation of viscoplastic constitutive updates. (English) Zbl 0938.74016 Comput. Methods Appl. Mech. Eng. 171, No. 3-4, 419-444 (1999). MSC: 74C10 74S30 PDF BibTeX XML Cite \textit{M. Ortiz} and \textit{L. Stainier}, Comput. Methods Appl. Mech. Eng. 171, No. 3--4, 419--444 (1999; Zbl 0938.74016) Full Text: DOI OpenURL
Radovitzky, R.; Ortiz, M. Error estimation and adaptive meshing in strongly nonlinear dynamic problems. (English) Zbl 0957.74058 Comput. Methods Appl. Mech. Eng. 172, No. 1-4, 203-240 (1999). MSC: 74S05 74C99 74B20 65N15 65M15 PDF BibTeX XML Cite \textit{R. Radovitzky} and \textit{M. Ortiz}, Comput. Methods Appl. Mech. Eng. 172, No. 1--4, 203--240 (1999; Zbl 0957.74058) Full Text: DOI OpenURL
Gioia, G.; Ortiz, M. The two-dimensional structure of dynamic boundary layers and shear bands in thermoviscoplastic solids. (English) Zbl 1054.74535 J. Mech. Phys. Solids 44, No. 2, 251-292 (1996). MSC: 74C20 74R15 74F05 74M20 PDF BibTeX XML Cite \textit{G. Gioia} and \textit{M. Ortiz}, J. Mech. Phys. Solids 44, No. 2, 251--292 (1996; Zbl 1054.74535) Full Text: DOI OpenURL
Ortiz, M.; Molinari, A. Effect of strain hardening and rate sensitivity on the dynamic growth of a void in a plastic material. (English) Zbl 0761.73089 J. Appl. Mech. 59, No. 1, 48-53 (1992). MSC: 74R99 74C99 PDF BibTeX XML Cite \textit{M. Ortiz} and \textit{A. Molinari}, J. Appl. Mech. 59, No. 1, 48--53 (1992; Zbl 0761.73089) Full Text: DOI Link OpenURL
Moran, B.; Ortiz, M.; Shih, C. F. Formulation of implicit finite element methods for multiplicative finite deformation plasticity. (English) Zbl 0724.73221 Int. J. Numer. Methods Eng. 29, No. 3, 483-514 (1990). MSC: 74S05 74C15 74C20 PDF BibTeX XML Cite \textit{B. Moran} et al., Int. J. Numer. Methods Eng. 29, No. 3, 483--514 (1990; Zbl 0724.73221) Full Text: DOI OpenURL
Leroy, Y.; Ortiz, M. Finite element analysis of transient strain localization phenomena in frictional solids. (English) Zbl 0702.73061 Int. J. Numer. Anal. Methods Geomech. 14, No. 2, 93-124 (1990). MSC: 74S05 74L10 74C99 PDF BibTeX XML Cite \textit{Y. Leroy} and \textit{M. Ortiz}, Int. J. Numer. Anal. Methods Geomech. 14, No. 2, 93--124 (1990; Zbl 0702.73061) Full Text: DOI OpenURL
Nacar, A.; Needleman, A.; Ortiz, M. A finite element method for analyzing localization in rate dependent solids at finite strains. (English) Zbl 0688.73042 Comput. Methods Appl. Mech. Eng. 73, No. 3, 235-258 (1989). MSC: 74S05 74B99 74C99 74D99 74C10 PDF BibTeX XML Cite \textit{A. Nacar} et al., Comput. Methods Appl. Mech. Eng. 73, No. 3, 235--258 (1989; Zbl 0688.73042) Full Text: DOI OpenURL
Ortiz, M.; Simo, J. C. An analysis of a new class of intergration algorithms for elastoplastic constitutive relations. (English) Zbl 0585.73058 Int. J. Numer. Methods Eng. 23, 353-366 (1986). MSC: 74S30 74S99 74B99 74C99 74D99 65D30 PDF BibTeX XML Cite \textit{M. Ortiz} and \textit{J. C. Simo}, Int. J. Numer. Methods Eng. 23, 353--366 (1986; Zbl 0585.73058) Full Text: DOI OpenURL
Ortiz, M.; Popov, E. P. Accuracy and stability of integration algorithms for elastoplastic constitutive relations. (English) Zbl 0585.73057 Int. J. Numer. Methods Eng. 21, 1561-1576 (1985). MSC: 74S30 65D30 74C99 74S99 PDF BibTeX XML Cite \textit{M. Ortiz} and \textit{E. P. Popov}, Int. J. Numer. Methods Eng. 21, 1561--1576 (1985; Zbl 0585.73057) Full Text: DOI OpenURL
Simo, J. C.; Ortiz, M. A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations. (English) Zbl 0566.73035 Comput. Methods Appl. Mech. Eng. 49, 221-245 (1985). MSC: 74B99 74C99 74D99 74B20 74A20 PDF BibTeX XML Cite \textit{J. C. Simo} and \textit{M. Ortiz}, Comput. Methods Appl. Mech. Eng. 49, 221--245 (1985; Zbl 0566.73035) Full Text: DOI OpenURL
Simo, J. C.; Ortiz, M. A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations. (English) Zbl 0538.73054 Comput. Methods Appl. Mech. Eng. (to appear). MSC: 74B99 74C99 74D99 74B20 74A20 PDF BibTeX XML OpenURL
Ortiz, M.; Popov, E. P. A physical model for the inelasticity of concrete. (English) Zbl 0488.73064 Proc. R. Soc. Lond., Ser. A 383, 101-125 (1982). MSC: 74E30 74A40 74R05 74C99 74A15 PDF BibTeX XML Cite \textit{M. Ortiz} and \textit{E. P. Popov}, Proc. R. Soc. Lond., Ser. A 383, 101--125 (1982; Zbl 0488.73064) Full Text: DOI OpenURL