Edit Profile (opens in new tab) Miehe, Christian (b. 1956 d. 2016) Co-Author Distance Author ID: miehe.christian Published as: Miehe, C.; Miehe, Christian Homepage: https://www.mechbau.uni-stuttgart.de/ls1/index.html External Links: MGP · ORCID · Google Scholar · GND Documents Indexed: 170 Publications since 1988 2 Contributions as Editor Biographic References: 1 Publication Co-Authors: 51 Co-Authors with 144 Joint Publications 880 Co-Co-Authors all top 5 Co-Authors 23 single-authored 20 Schröder, Jörg 17 Lambrecht, Matthias 11 Schotte, Jan 10 Bayreuther, Claus G. 9 Göktepe, Serdar 9 Rosato, Daniele 9 Stein, Erwin 8 Gürses, Ercan 6 Aldakheel, Fadi 6 Becker, Martin 6 Dettmar, Joachim 6 Mauthe, Steffen 6 Zäh, Dominic 5 Hofacker, Martina 5 Steinmann, Paul 5 Teichtmeister, Stephan 5 Welschinger, Fabian 5 Wriggers, Peter 4 Apel, Nikolas 4 Keck, Joachim 4 Schänzel, Lisa-Marie 4 Scheday, G. 3 Dal, Hüsnü 3 Ethiraj, Gautam 3 Vallicotti, Daniel 3 Zimmermann, Dominik 2 Birkle, Manuel 2 Diez, Joel Méndez 2 Frankenreiter, Ilona 2 Hildebrand, Felix E. 2 Keip, Marc-André 2 Kiefer, Björn 2 Klaas, Ottmar 2 Linder, Christian 2 Lulei, F. 2 Rieger, Andreas 2 Schley, Stefan 2 Simo, Juan Carlos 2 Sridhar, Ashish 2 Ulmer, Heike 2 Wagner, Werner 1 Böger, L. 1 Celigoj, Christian C. 1 Garikipati, Krishna 1 Govindjee, Sanjay 1 Kienle, Daniel 1 Lee, Seokho 1 Mainik, Andreas 1 Méndez, Joel 1 Mielke, Alexander 1 Zecha, Holger all top 5 Serials 31 Computer Methods in Applied Mechanics and Engineering 29 PAMM. Proceedings in Applied Mathematics and Mechanics 20 International Journal for Numerical Methods in Engineering 20 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 14 Journal of the Mechanics and Physics of Solids 6 International Journal of Solids and Structures 6 Computational Mechanics 4 GAMM-Mitteilungen 3 International Journal of Engineering Science 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Archive of Applied Mechanics 2 Acta Mechanica 2 Computers and Structures 2 Communications in Numerical Methods in Engineering 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 International Journal of Plasticity 1 European Journal of Mechanics. A. Solids 1 Continuum Mechanics and Thermodynamics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Fracture 1 Solid Mechanics and Its Applications 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 168 Mechanics of deformable solids (74-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Numerical analysis (65-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Optics, electromagnetic theory (78-XX) 3 Fluid mechanics (76-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 112 Publications have been cited 4,281 times in 2,146 Documents Cited by ▼ Year ▼ A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits. Zbl 1231.74022 Miehe, Christian; Hofacker, Martina; Welschinger, Fabian 475 2010 Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations. Zbl 1202.74014 Miehe, C.; Welschinger, F.; Hofacker, M. 466 2010 Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Zbl 0764.73088 Simo, J. C.; Miehe, C. 228 1992 Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials. Zbl 0982.74068 Miehe, Christian; Schröder, Jörg; Schotte, Jan 178 1999 Computational micro-to-macro transitions of discretized microstructures undergoing small strains. Zbl 1032.74010 Miehe, C.; Koch, A. 134 2002 Phase field modeling of fracture in multi-physics problems. II: Coupled brittle-to-ductile failure criteria and crack propagation in thermo-elastic-plastic solids. Zbl 1423.74837 Miehe, C.; Hofacker, M.; Schänzel, L.-M.; Aldakheel, F. 130 2015 Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. Zbl 1027.74056 Miehe, Christian 125 2002 Phase field modeling of fracture in multi-physics problems. I: Balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids. Zbl 1423.74838 Miehe, Christian; Schänzel, Lisa-Marie; Ulmer, Heike 107 2015 A micro-macro approach to rubber-like materials. I: The non-affine micro-sphere model of rubber elasticity. Zbl 1091.74008 Miehe, C.; Göktepe, S.; Lulei, F. 89 2004 Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals. Zbl 1151.74403 Miehe, C.; Schotte, J.; Lambrecht, M. 85 2002 Phase field modeling of fracture in multi-physics problems. III: Crack driving forces in hydro-poro-elasticity and hydraulic fracturing of fluid-saturated porous media. Zbl 1425.74423 Miehe, Christian; Mauthe, Steffen 85 2016 Aspects of the formulation and finite element implementation of large strain isotropic elasticity. Zbl 0804.73067 Miehe, C. 78 1994 Computational micro-to-macro transitions for discretized micro-structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy. Zbl 1091.74530 Miehe, Christian 77 2003 Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity. Zbl 0892.73012 Miehe, Christian 73 1996 A phase field model of dynamic fracture: robust field updates for the analysis of complex crack patterns. Zbl 1352.74022 Hofacker, M.; Miehe, C. 73 2013 Anisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials. Zbl 1083.74518 Miehe, C.; Apel, N.; Lambrecht, M. 68 2002 Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation. Zbl 0998.74014 Miehe, Christian; Keck, Joachim 60 2000 A multi-field incremental variational framework for gradient-extended standard dissipative solids. Zbl 1270.74022 Miehe, Christian 60 2011 Phase field modeling of fracture in rubbery polymers. I. Finite elasticity coupled with brittle failure. Zbl 1323.74012 Miehe, Christian; Schänzel, Lisa-Marie 58 2014 Discontinuous and continuous damage evolution in Ogden-type large-strain elastic materials. Zbl 0837.73054 Miehe, C. 51 1995 A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains. Zbl 0970.74043 Miehe, Christian 50 1998 Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction. Zbl 1099.74517 Miehe, Christian; Schröder, Jörg; Becker, Martin 50 2002 Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation. Zbl 0851.73012 Miehe, C. 49 1995 Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals. Zbl 0899.73136 Miehe, Christian 49 1996 A robust algorithm for configurational-force-driven brittle crack propagation with R-adaptive mesh alignment. Zbl 1194.74444 Miehe, C.; Gürses, E. 48 2007 A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric. Zbl 0935.74022 Miehe, Christian 44 1998 A quadratically convergent procedure for the calculation of stability points in finite element analysis. Zbl 0653.73031 Wriggers, P.; Wagner, W.; Miehe, C. 41 1988 A micro-macro approach to rubber-like materials. II: The micro-sphere model of finite rubber viscoelasticity. Zbl 1120.74373 Miehe, Christian; Göktepe, Serdar 41 2005 A multi-variant martensitic phase transformation model: Formulation and numerical implementation. Zbl 1007.74061 Govindjee, Sanjay; Miehe, Christian 40 2001 A modified Gurson-type plasticity model at finite strains: formulation, numerical analysis and phase-field coupling. Zbl 1459.74024 Aldakheel, Fadi; Wriggers, Peter; Miehe, Christian 40 2018 On multiscale FE analyses of heterogeneous structures: from homogenization to multigrid solvers. Zbl 1194.74443 Miehe, C.; Bayreuther, C. G. 38 2007 A micro-macro approach to rubber-like materials. III: The micro-sphere model of anisotropic Mullins-type damage. Zbl 1120.74320 Göktepe, Serdar; Miehe, Christian 37 2005 Comparison of two algorithms for the computation of fourth-order isotropic tensor functions. Zbl 0929.74128 Miehe, C. 37 1998 Contact constraints within coupled thermomechanical analysis. – A finite element model. Zbl 0847.73069 Wriggers, P.; Miehe, C. 34 1994 A computational framework of three-dimensional configurational-force-driven brittle crack propagation. Zbl 1227.74070 Gürses, Ercan; Miehe, Christian 33 2009 Phase-field modelling of ductile fracture: a variational gradient-extended plasticity-damage theory and its micromorphic regularization. Zbl 1353.74065 Miehe, C.; Teichtmeister, S.; Aldakheel, F. 33 2016 Variational principles in dissipative electro-magneto-mechanics: a framework for the macro-modeling of functional materials. Zbl 1235.74040 Miehe, C.; Rosato, D.; Kiefer, B. 32 2011 Computation of isotropic tensor functions. Zbl 0796.65059 Miehe, C. 32 1993 Algorithms for computation of stresses and elasticity moduli in terms of Seth-Hill’s family of generalized strain tensors. Zbl 1049.74011 Miehe, Christian; Lambrecht, Matthias 31 2001 Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: evolving deformation microstructures in finite plasticity. Zbl 1115.74323 Miehe, C.; Lambrecht, M.; Gürses, E. 30 2004 Multisurface thermoplasticity for single crystals at large strains in terms of Eulerian vector updates. Zbl 0929.74019 Miehe, C. 28 1996 A formulation of finite elastoplasticity based on dual co- and contra-variant eigenvector triads normalized with respect to a plastic metric. Zbl 0948.74009 Miehe, Christian 26 1998 A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity. Zbl 1006.74091 Miehe, Christian; Schröder, Jörg 26 2001 Comparison of different finite deformation inelastic damage models within multiplicative elastoplasticity for ductile materials. Zbl 0816.73021 Steinmann, P.; Miehe, C.; Stein, Erwin 26 1994 A phase field model of electromechanical fracture. Zbl 1200.74123 Miehe, C.; Welschinger, F.; Hofacker, M. 26 2010 Analysis of microstructure development in shearbands by energy relaxation of incremental stress potentials: Large-strain theory for standard dissipative solids. Zbl 1032.74526 Miehe, Christian; Lambrecht, Matthias 25 2003 Variational gradient plasticity at finite strains. I: Mixed potentials for the evolution and update problems of gradient-extended dissipative solids. Zbl 1295.74013 Miehe, Christian 25 2014 A theory of large-strain isotropic thermoplasticity based on metric transformation tensors. Zbl 0844.73027 Miehe, C. 24 1995 On the representation of Prandtl-Reuss tensors within the framework of multiplicative elastoplasticity. Zbl 0810.73016 Miehe, Christian 24 1994 A phase-field model for chemo-mechanical induced fracture in lithium-ion battery electrode particles. Zbl 1352.74116 Miehe, C.; Dal, H.; Schänzel, L.-M.; Raina, A. 23 2016 Homogenization and two-scale simulations of granular materials for different microstructural constraints. Zbl 1197.74084 Miehe, C.; Dettmar, J.; Zäh, D. 23 2010 Variational gradient plasticity at finite strains. II: Local-global updates and mixed finite elements for additive plasticity in the logarithmic strain space. Zbl 1295.74014 Miehe, Christian; Welschinger, Fabian; Aldakheel, Fadi 22 2014 A micromechanically motivated diffusion-based transient network model and its incorporation into finite rubber viscoelasticity. Zbl 1270.74035 Linder, Christian; Tkachuk, Mykola; Miehe, Christian 22 2011 A computational framework of configurational-force-driven brittle fracture based on incremental energy minimization. Zbl 1198.74008 Miehe, Christian; Gürses, Ercan; Birkle, Manuel 22 2007 On the coupled thermomechanical treatment of necking problems via finite element methods. Zbl 0760.73070 Wriggers, P.; Miehe, C.; Kleiber, M.; Simo, J. C. 21 1992 Energy relaxation of non-convex incremental stress potentials in a strain-softening elastic–plastic bar. Zbl 1065.74543 Lambrecht, M.; Miehe, C.; Dettmar, J. 20 2003 Mixed variational principles and robust finite element implementations of gradient plasticity at small strains. Zbl 1352.74408 Miehe, C.; Aldakheel, F.; Mauthe, S. 20 2013 A rate-dependent incremental variational formulation of ferroelectricity. Zbl 1231.74319 Miehe, C.; Rosato, D. 19 2011 Computational structural and material stability analysis in finite electro-elasto-statics of electro-active materials. Zbl 1352.74115 Miehe, C.; Vallicotti, D.; Zäh, D. 18 2015 Phase field modeling of fracture in porous plasticity: a variational gradient-extended Eulerian framework for the macroscopic analysis of ductile failure. Zbl 1439.74112 Miehe, Christian; Kienle, Daniel; Aldakheel, Fadi; Teichtmeister, Stephan 18 2016 A framework for micro-macro transitions in periodic particle aggregates of granular materials. Zbl 1075.76541 Miehe, Christian; Dettmar, Joachim 17 2004 Finite viscoplasticity of amorphous glassy polymers in the logarithmic strain space. Zbl 1168.74324 Miehe, C.; Göktepe, S.; Diez, J. Méndez 16 2009 Post-critical discontinuous localization analysis of small-strain softening elastoplastic solids. Zbl 0816.73011 Miehe, C.; Schröder, J. 16 1994 Formulation and numerical exploitation of mixed variational principles for coupled problems of Cahn-Hilliard-type and standard diffusion in elastic solids. Zbl 1352.74110 Miehe, C.; Mauthe, S.; Ulmer, H. 16 2014 Computational homogenization in dissipative electro-mechanics of functional materials. Zbl 1286.74086 Zäh, Dominic; Miehe, Christian 16 2013 Variational gradient plasticity at finite strains. III: Local-global updates and regularization techniques in multiplicative plasticity for single crystals. Zbl 1295.74012 Miehe, C.; Mauthe, S.; Hildebrand, F. E. 15 2014 New finite elements with embedded strong discontinuities for the modeling of failure in electromechanical coupled solids. Zbl 1225.74095 Linder, C.; Rosato, D.; Miehe, C. 13 2010 Energy and momentum conserving elastodynamics of a nonlinear brick-type mixed finite shell element. Zbl 0977.74063 Miehe, Christian; Schröder, Jörg 13 2001 Anisotropic elastic-plastic analysis of shells at large strains. A comparison of multiplicative and additive approaches to enhanced finite element design and constitutive modelling. Zbl 1075.74659 Miehe, Christian; Apel, Nikolas 13 2004 Computational electro-chemo-mechanics of lithium-ion battery electrodes at finite strains. Zbl 1398.74101 Dal, Hüsnü; Miehe, Christian 13 2015 A two-scale finite element relaxation analysis of shear bands in non-convex inelastic solids: Small-strain theory for standard dissipative materials. Zbl 1088.74044 Miehe, Christian; Lambrecht, Matthias 13 2003 Multiplicative magneto-elasticity of magnetosensitive polymers incorporating micromechanically-based network kernels. Zbl 1423.74308 Ethiraj, G.; Miehe, C. 13 2016 On the homogenization analysis of composite materials based on discretized fluctations on the micro-structure. Zbl 1008.74070 Miehe, C.; Schröder, J.; Bayreuther, C. 12 2002 A regularized dual mixed element for plane elasticity. Implementation and performance of the BDM element. Zbl 0852.73065 Klaas, Ottmar; Schröder, Jörg; Stein, Erwin; Miehe, Christian 11 1995 Mixed variational potentials and inherent symmetries of the Cahn-Hilliard theory of diffusive phase separation. Zbl 1372.65272 Miehe, C.; Hildebrand, F. E.; Böger, L. 11 2014 Homogenization and multiscale stability analysis in finite magneto-electro-elasticity. Application to soft matter EE, ME and MEE composites. Zbl 1425.74401 Miehe, Christian; Vallicotti, Daniel; Teichtmeister, Stephan 11 2016 Associative multiplicative elasto-plasticity: Formulation and aspects of the numerical implementation including stability analysis. Zbl 0900.73206 Miehe, C.; Stein, Erwin; Wagner, Werner 10 1994 Anisotropic finite elastoplastic analysis of shells: Simulation of earing in deep-drawing of single- and polycrystalline sheets by Taylor-type micro-to-macro transitions. Zbl 1066.74056 Miehe, Christian; Schotte, Jan 8 2004 A geometrically consistent incremental variational formulation for phase field models in micromagnetics. Zbl 1354.74196 Miehe, Christian; Ethiraj, Gautam 8 2012 On evolving deformation microstructures in non-convex partially damaged solids. Zbl 1270.74021 Gürses, E.; Miehe, C. 8 2011 Variational-based modeling of micro-electro-elasticity with electric field-driven and stress-driven domain evolutions. Zbl 1246.74018 Miehe, C.; Zäh, D.; Rosato, D. 7 2012 Multiplicative electro-elasticity of electroactive polymers accounting for micromechanically-based network models. Zbl 1423.74710 Zäh, Dominic; Miehe, Christian 7 2015 Aspects of finite element formulations for the coupled problem of poroelasticity based on a canonical minimization principle. Zbl 1468.74072 Teichtmeister, S.; Mauthe, S.; Miehe, C. 6 2019 Fast transient dynamic plane stress analysis of orthotropic Hill-type solids at finite elastoplastic strains. Zbl 0911.73030 Steinmann, Paul; Miehe, Christian; Stein, Erwin 5 1996 On the localization analysis of orthotropic Hill type elastoplastic solids. Zbl 0826.73021 Steinmann, P.; Miehe, C.; Stein, Erwin 5 1994 Instability phenomena in plasticity: Modelling and computation. Zbl 0860.73017 Stein, Erwin; Steinmann, P.; Miehe, C. 5 1995 Dissipative ferroelectricity at finite strains. Variational principles, constitutive assumptions and algorithms. Zbl 1423.74320 Rosato, Daniele; Miehe, Christian 5 2014 Elastica-based strain energy functions for soft biological tissue. Zbl 1171.74382 Garikipati, K.; Göktepe, S.; Miehe, C. 4 2008 A physically nonlinear dual mixed finite element formulation. Zbl 0892.73071 Schröder, J.; Klaas, O.; Stein, Erwin; Miehe, C. 4 1997 Fast texture updates in fcc polycrystal plasticity based on a linear active-set-estimate of the lattice spin. Zbl 1159.74334 Miehe, C.; Rosato, D. 3 2007 Homogenization in micro-magneto-mechanics. Zbl 1398.74108 Sridhar, A.; Keip, M.-A.; Miehe, C. 3 2016 Texture simulations of polycrystalline materials. Zbl 0942.74545 Miehe, C.; Schröder, J.; Schotte, J. 2 1999 Parameter identification for finite elasticity with inhomogeneous deformations. (Parameteridentifikation finiter Elastizität bei inhomogenen Deformationen.) Zbl 0980.74502 Scheday, G.; Miehe, C. 2 2001 Computational homogenization of materials with microstructures based on incremental variational formulations. Zbl 1040.74039 Miehe, C.; Lambrecht, M.; Schotte, J. 2 2003 Analytical and numerical methods for finite-strain elastoplasticity. Zbl 1298.74040 Gürses, Ercan; Mainik, Andreas; Miehe, Christian; Mielke, Alexander 2 2006 Variational gradient plasticity: local-global updates, regularization and laminate microstructures in single crystals. Zbl 1411.74020 Mauthe, Steffen; Miehe, Christian 2 2015 Mixed variational principles for the evolution problem of gradient-extended dissipative solids. Zbl 1255.74021 Miehe, Christian 2 2012 Two non-associated isotropic elastoplastic hardening models for frictional materials. Zbl 0935.74021 Lambrecht, M.; Miehe, C. 1 1999 Brick-type axisymmetric mixed finite shell elements for large-strain inelastic stress analysis. Zbl 0942.74659 Schley, S.; Miehe, C. 1 1999 Aspects of adaptive remeshing techniques in finite elasticity. Zbl 0951.74598 Koch, A.; Miehe, C. 1 2000 Aspects of finite element formulations for the coupled problem of poroelasticity based on a canonical minimization principle. Zbl 1468.74072 Teichtmeister, S.; Mauthe, S.; Miehe, C. 6 2019 A modified Gurson-type plasticity model at finite strains: formulation, numerical analysis and phase-field coupling. Zbl 1459.74024 Aldakheel, Fadi; Wriggers, Peter; Miehe, Christian 40 2018 Phase field modeling of fracture in multi-physics problems. III: Crack driving forces in hydro-poro-elasticity and hydraulic fracturing of fluid-saturated porous media. Zbl 1425.74423 Miehe, Christian; Mauthe, Steffen 85 2016 Phase-field modelling of ductile fracture: a variational gradient-extended plasticity-damage theory and its micromorphic regularization. Zbl 1353.74065 Miehe, C.; Teichtmeister, S.; Aldakheel, F. 33 2016 A phase-field model for chemo-mechanical induced fracture in lithium-ion battery electrode particles. Zbl 1352.74116 Miehe, C.; Dal, H.; Schänzel, L.-M.; Raina, A. 23 2016 Phase field modeling of fracture in porous plasticity: a variational gradient-extended Eulerian framework for the macroscopic analysis of ductile failure. Zbl 1439.74112 Miehe, Christian; Kienle, Daniel; Aldakheel, Fadi; Teichtmeister, Stephan 18 2016 Multiplicative magneto-elasticity of magnetosensitive polymers incorporating micromechanically-based network kernels. Zbl 1423.74308 Ethiraj, G.; Miehe, C. 13 2016 Homogenization and multiscale stability analysis in finite magneto-electro-elasticity. Application to soft matter EE, ME and MEE composites. Zbl 1425.74401 Miehe, Christian; Vallicotti, Daniel; Teichtmeister, Stephan 11 2016 Homogenization in micro-magneto-mechanics. Zbl 1398.74108 Sridhar, A.; Keip, M.-A.; Miehe, C. 3 2016 Phase field modeling of fracture in multi-physics problems. II: Coupled brittle-to-ductile failure criteria and crack propagation in thermo-elastic-plastic solids. Zbl 1423.74837 Miehe, C.; Hofacker, M.; Schänzel, L.-M.; Aldakheel, F. 130 2015 Phase field modeling of fracture in multi-physics problems. I: Balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids. Zbl 1423.74838 Miehe, Christian; Schänzel, Lisa-Marie; Ulmer, Heike 107 2015 Computational structural and material stability analysis in finite electro-elasto-statics of electro-active materials. Zbl 1352.74115 Miehe, C.; Vallicotti, D.; Zäh, D. 18 2015 Computational electro-chemo-mechanics of lithium-ion battery electrodes at finite strains. Zbl 1398.74101 Dal, Hüsnü; Miehe, Christian 13 2015 Multiplicative electro-elasticity of electroactive polymers accounting for micromechanically-based network models. Zbl 1423.74710 Zäh, Dominic; Miehe, Christian 7 2015 Variational gradient plasticity: local-global updates, regularization and laminate microstructures in single crystals. Zbl 1411.74020 Mauthe, Steffen; Miehe, Christian 2 2015 Phase field modeling of fracture in rubbery polymers. I. Finite elasticity coupled with brittle failure. Zbl 1323.74012 Miehe, Christian; Schänzel, Lisa-Marie 58 2014 Variational gradient plasticity at finite strains. I: Mixed potentials for the evolution and update problems of gradient-extended dissipative solids. Zbl 1295.74013 Miehe, Christian 25 2014 Variational gradient plasticity at finite strains. II: Local-global updates and mixed finite elements for additive plasticity in the logarithmic strain space. Zbl 1295.74014 Miehe, Christian; Welschinger, Fabian; Aldakheel, Fadi 22 2014 Formulation and numerical exploitation of mixed variational principles for coupled problems of Cahn-Hilliard-type and standard diffusion in elastic solids. Zbl 1352.74110 Miehe, C.; Mauthe, S.; Ulmer, H. 16 2014 Variational gradient plasticity at finite strains. III: Local-global updates and regularization techniques in multiplicative plasticity for single crystals. Zbl 1295.74012 Miehe, C.; Mauthe, S.; Hildebrand, F. E. 15 2014 Mixed variational potentials and inherent symmetries of the Cahn-Hilliard theory of diffusive phase separation. Zbl 1372.65272 Miehe, C.; Hildebrand, F. E.; Böger, L. 11 2014 Dissipative ferroelectricity at finite strains. Variational principles, constitutive assumptions and algorithms. Zbl 1423.74320 Rosato, Daniele; Miehe, Christian 5 2014 A phase field model of dynamic fracture: robust field updates for the analysis of complex crack patterns. Zbl 1352.74022 Hofacker, M.; Miehe, C. 73 2013 Mixed variational principles and robust finite element implementations of gradient plasticity at small strains. Zbl 1352.74408 Miehe, C.; Aldakheel, F.; Mauthe, S. 20 2013 Computational homogenization in dissipative electro-mechanics of functional materials. Zbl 1286.74086 Zäh, Dominic; Miehe, Christian 16 2013 A geometrically consistent incremental variational formulation for phase field models in micromagnetics. Zbl 1354.74196 Miehe, Christian; Ethiraj, Gautam 8 2012 Variational-based modeling of micro-electro-elasticity with electric field-driven and stress-driven domain evolutions. Zbl 1246.74018 Miehe, C.; Zäh, D.; Rosato, D. 7 2012 Mixed variational principles for the evolution problem of gradient-extended dissipative solids. Zbl 1255.74021 Miehe, Christian 2 2012 A multi-field incremental variational framework for gradient-extended standard dissipative solids. Zbl 1270.74022 Miehe, Christian 60 2011 Variational principles in dissipative electro-magneto-mechanics: a framework for the macro-modeling of functional materials. Zbl 1235.74040 Miehe, C.; Rosato, D.; Kiefer, B. 32 2011 A micromechanically motivated diffusion-based transient network model and its incorporation into finite rubber viscoelasticity. Zbl 1270.74035 Linder, Christian; Tkachuk, Mykola; Miehe, Christian 22 2011 A rate-dependent incremental variational formulation of ferroelectricity. Zbl 1231.74319 Miehe, C.; Rosato, D. 19 2011 On evolving deformation microstructures in non-convex partially damaged solids. Zbl 1270.74021 Gürses, E.; Miehe, C. 8 2011 A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits. Zbl 1231.74022 Miehe, Christian; Hofacker, Martina; Welschinger, Fabian 475 2010 Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations. Zbl 1202.74014 Miehe, C.; Welschinger, F.; Hofacker, M. 466 2010 A phase field model of electromechanical fracture. Zbl 1200.74123 Miehe, C.; Welschinger, F.; Hofacker, M. 26 2010 Homogenization and two-scale simulations of granular materials for different microstructural constraints. Zbl 1197.74084 Miehe, C.; Dettmar, J.; Zäh, D. 23 2010 New finite elements with embedded strong discontinuities for the modeling of failure in electromechanical coupled solids. Zbl 1225.74095 Linder, C.; Rosato, D.; Miehe, C. 13 2010 A computational framework of three-dimensional configurational-force-driven brittle crack propagation. Zbl 1227.74070 Gürses, Ercan; Miehe, Christian 33 2009 Finite viscoplasticity of amorphous glassy polymers in the logarithmic strain space. Zbl 1168.74324 Miehe, C.; Göktepe, S.; Diez, J. Méndez 16 2009 Elastica-based strain energy functions for soft biological tissue. Zbl 1171.74382 Garikipati, K.; Göktepe, S.; Miehe, C. 4 2008 Exploitation of configurational forces in extended nonlocal continua with microstructure. Zbl 1393.74134 Frankenreiter, Ilona; Zimmermann, Dominik; Miehe, Christian 1 2008 A robust algorithm for configurational-force-driven brittle crack propagation with R-adaptive mesh alignment. Zbl 1194.74444 Miehe, C.; Gürses, E. 48 2007 On multiscale FE analyses of heterogeneous structures: from homogenization to multigrid solvers. Zbl 1194.74443 Miehe, C.; Bayreuther, C. G. 38 2007 A computational framework of configurational-force-driven brittle fracture based on incremental energy minimization. Zbl 1198.74008 Miehe, Christian; Gürses, Ercan; Birkle, Manuel 22 2007 Fast texture updates in fcc polycrystal plasticity based on a linear active-set-estimate of the lattice spin. Zbl 1159.74334 Miehe, C.; Rosato, D. 3 2007 Analytical and numerical methods for finite-strain elastoplasticity. Zbl 1298.74040 Gürses, Ercan; Mainik, Andreas; Miehe, Christian; Mielke, Alexander 2 2006 Microstructure development in standard dissipative solids based on energy minimization. Zbl 1158.74010 Miehe, Christian 1 2006 Multiscale modeling of anisotropies in single crystals and polycrystals at finite strains. Zbl 1298.74052 Miehe, Christian; Becker, Martin 1 2006 A micro-macro approach to rubber-like materials. II: The micro-sphere model of finite rubber viscoelasticity. Zbl 1120.74373 Miehe, Christian; Göktepe, Serdar 41 2005 A micro-macro approach to rubber-like materials. III: The micro-sphere model of anisotropic Mullins-type damage. Zbl 1120.74320 Göktepe, Serdar; Miehe, Christian 37 2005 Incompatibility induced nonlocal crystal plasticity. Zbl 1391.74045 Becker, Martin; Miehe, Christian 1 2005 A micro-macro approach to rubber-like materials. I: The non-affine micro-sphere model of rubber elasticity. Zbl 1091.74008 Miehe, C.; Göktepe, S.; Lulei, F. 89 2004 Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: evolving deformation microstructures in finite plasticity. Zbl 1115.74323 Miehe, C.; Lambrecht, M.; Gürses, E. 30 2004 A framework for micro-macro transitions in periodic particle aggregates of granular materials. Zbl 1075.76541 Miehe, Christian; Dettmar, Joachim 17 2004 Anisotropic elastic-plastic analysis of shells at large strains. A comparison of multiplicative and additive approaches to enhanced finite element design and constitutive modelling. Zbl 1075.74659 Miehe, Christian; Apel, Nikolas 13 2004 Anisotropic finite elastoplastic analysis of shells: Simulation of earing in deep-drawing of single- and polycrystalline sheets by Taylor-type micro-to-macro transitions. Zbl 1066.74056 Miehe, Christian; Schotte, Jan 8 2004 Numerical computation of anisotropically evolving yield surfaces based on micro-to-macro transitions. Zbl 1354.74318 Gürses, Ercan; Becker, Martin; Miehe, Christian 1 2004 Material forces in standard dissipative solids obtained from an incremental variational formulation. Zbl 1354.74220 Zimmermann, Dominik; Miehe, Christian 1 2004 Computational micro-to-macro transitions for discretized micro-structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy. Zbl 1091.74530 Miehe, Christian 77 2003 Analysis of microstructure development in shearbands by energy relaxation of incremental stress potentials: Large-strain theory for standard dissipative solids. Zbl 1032.74526 Miehe, Christian; Lambrecht, Matthias 25 2003 Energy relaxation of non-convex incremental stress potentials in a strain-softening elastic–plastic bar. Zbl 1065.74543 Lambrecht, M.; Miehe, C.; Dettmar, J. 20 2003 A two-scale finite element relaxation analysis of shear bands in non-convex inelastic solids: Small-strain theory for standard dissipative materials. Zbl 1088.74044 Miehe, Christian; Lambrecht, Matthias 13 2003 Computational homogenization of materials with microstructures based on incremental variational formulations. Zbl 1040.74039 Miehe, C.; Lambrecht, M.; Schotte, J. 2 2003 Coupling of homogenization techniques with multigrid solvers for unstructured meshes. Zbl 1095.74024 Bayreuther, Claus G.; Miehe, Christian 1 2003 A new micromechanically based approach for the elastic response of rubber-like materials at large strains. Zbl 1354.74192 Göktepe, Serdar; Miehe, Christian 1 2003 Computational micro-to-macro transitions of discretized microstructures undergoing small strains. Zbl 1032.74010 Miehe, C.; Koch, A. 134 2002 Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. Zbl 1027.74056 Miehe, Christian 125 2002 Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals. Zbl 1151.74403 Miehe, C.; Schotte, J.; Lambrecht, M. 85 2002 Anisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials. Zbl 1083.74518 Miehe, C.; Apel, N.; Lambrecht, M. 68 2002 Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction. Zbl 1099.74517 Miehe, Christian; Schröder, Jörg; Becker, Martin 50 2002 On the homogenization analysis of composite materials based on discretized fluctations on the micro-structure. Zbl 1008.74070 Miehe, C.; Schröder, J.; Bayreuther, C. 12 2002 A multi-variant martensitic phase transformation model: Formulation and numerical implementation. Zbl 1007.74061 Govindjee, Sanjay; Miehe, Christian 40 2001 Algorithms for computation of stresses and elasticity moduli in terms of Seth-Hill’s family of generalized strain tensors. Zbl 1049.74011 Miehe, Christian; Lambrecht, Matthias 31 2001 A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity. Zbl 1006.74091 Miehe, Christian; Schröder, Jörg 26 2001 Energy and momentum conserving elastodynamics of a nonlinear brick-type mixed finite shell element. Zbl 0977.74063 Miehe, Christian; Schröder, Jörg 13 2001 Parameter identification for finite elasticity with inhomogeneous deformations. (Parameteridentifikation finiter Elastizität bei inhomogenen Deformationen.) Zbl 0980.74502 Scheday, G.; Miehe, C. 2 2001 A note on formulas for localized failure of frictional materials in compression and biaxial loading modes. Zbl 1035.74052 Lambrecht, Matthias; Miehe, Christian 1 2001 Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation. Zbl 0998.74014 Miehe, Christian; Keck, Joachim 60 2000 Aspects of adaptive remeshing techniques in finite elasticity. Zbl 0951.74598 Koch, A.; Miehe, C. 1 2000 Aspects of homogenization techniques and multigrid solving. Zbl 0997.74047 Bayreuther, C. G.; Miehe, C.; Schröder, J. 1 2000 Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials. Zbl 0982.74068 Miehe, Christian; Schröder, Jörg; Schotte, Jan 178 1999 Texture simulations of polycrystalline materials. Zbl 0942.74545 Miehe, C.; Schröder, J.; Schotte, J. 2 1999 Two non-associated isotropic elastoplastic hardening models for frictional materials. Zbl 0935.74021 Lambrecht, M.; Miehe, C. 1 1999 Brick-type axisymmetric mixed finite shell elements for large-strain inelastic stress analysis. Zbl 0942.74659 Schley, S.; Miehe, C. 1 1999 A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains. Zbl 0970.74043 Miehe, Christian 50 1998 A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric. Zbl 0935.74022 Miehe, Christian 44 1998 Comparison of two algorithms for the computation of fourth-order isotropic tensor functions. Zbl 0929.74128 Miehe, C. 37 1998 A formulation of finite elastoplasticity based on dual co- and contra-variant eigenvector triads normalized with respect to a plastic metric. Zbl 0948.74009 Miehe, Christian 26 1998 A stress-update algorithm in spectral form for an elastoviscoplastic model. Zbl 0925.73918 Keck, J.; Miehe, C. 1 1998 A physically nonlinear dual mixed finite element formulation. Zbl 0892.73071 Schröder, J.; Klaas, O.; Stein, Erwin; Miehe, C. 4 1997 Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity. Zbl 0892.73012 Miehe, Christian 73 1996 Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals. Zbl 0899.73136 Miehe, Christian 49 1996 Multisurface thermoplasticity for single crystals at large strains in terms of Eulerian vector updates. Zbl 0929.74019 Miehe, C. 28 1996 Fast transient dynamic plane stress analysis of orthotropic Hill-type solids at finite elastoplastic strains. Zbl 0911.73030 Steinmann, Paul; Miehe, Christian; Stein, Erwin 5 1996 Discontinuous and continuous damage evolution in Ogden-type large-strain elastic materials. Zbl 0837.73054 Miehe, C. 51 1995 Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation. Zbl 0851.73012 Miehe, C. 49 1995 A theory of large-strain isotropic thermoplasticity based on metric transformation tensors. Zbl 0844.73027 Miehe, C. 24 1995 A regularized dual mixed element for plane elasticity. Implementation and performance of the BDM element. Zbl 0852.73065 Klaas, Ottmar; Schröder, Jörg; Stein, Erwin; Miehe, Christian 11 1995 Instability phenomena in plasticity: Modelling and computation. Zbl 0860.73017 Stein, Erwin; Steinmann, P.; Miehe, C. 5 1995 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,939 Authors 80 Miehe, Christian 56 Wriggers, Peter 50 Steinmann, Paul 36 Wick, Thomas 29 Menzel, Andreas M. 27 Aldakheel, Fadi 27 Sun, WaiChing 26 Schröder, Jörg 25 Mosler, Jörn 24 Hackl, Klaus 24 Reese, Stefanie 23 de Lorenzis, Laura 23 Rabczuk, Timon 21 Runesson, Kenneth 20 Balzani, Daniel 20 Larsson, Fredrik 19 Kaliske, Michael 18 Stein, Erwin 17 Gil, Antonio J. 17 Holzapfel, Gerhard Alfred 17 Ortigosa, Rogelio 17 Stefanelli, Ulisse 16 Geers, Marc G. D. 16 Linder, Christian 16 Mahnken, Rolf 16 Ortiz, Michael 16 Yang, Xiaofeng 15 Ambati, Marreddy 15 Keip, Marc-André 15 Stainier, Laurent 15 Waisman, Haim 15 Weinberg, Kerstin 15 Yvonnet, Julien 14 Dal, Hüsnü 14 de Borst, René 14 de Souza Neto, Eduardo Alberto 14 Hesch, Christian 14 Wheeler, Mary Fanett 13 Areias, Pedro M. A. 13 Fish, Jacob 13 Kästner, Markus 13 Natarajan, Sundararajan 13 Reinoso, Jose 13 Wu, Jianying 13 Zhang, Hongwu 12 Betsch, Peter 12 Coombs, William M. 12 Javili, Ali 12 Mielke, Alexander 12 Svendsen, Bob 11 Hudobivnik, Blaž 11 Ibrahimbegović, Adnan 11 Itskov, Mikhail 11 Muller, Ralf 11 Paggi, Marco 11 Temizer, Ilker 10 Bui, Tinh Quoc 10 Conti, Sergio 10 Dittmann, M. 10 Junker, Philipp 10 Kochmann, Dennis M. 10 Kuhl, Ellen 10 Montáns, Francisco-Javier 10 Nguyen, Vinh Phu 10 Noii, Nima 10 Wulfinghoff, Stephan 10 Zhuang, Xiaoying 9 Augarde, Charles Edward 9 Auricchio, Ferdinando 9 Hartmann, Stefan 9 Liu, Wing Kam 9 Mergheim, Julia 9 Meschke, Günther 9 Noels, Ludovic 9 Perić, Djordje 9 Petryk, Henryk 9 Roubíček, Tomáš 9 Sluys, Lambertus Johannes 9 Wall, Wolfgang A. 9 Xiao, Heng 9 Zheng, Yonggang 8 Doblaré, Manuel 8 Feijóo, Raúl Antonino 8 Fernández, Jose Ramon 8 Forest, Samuel 8 Franke, Marlon 8 Göktepe, Serdar 8 Kouznetsova, Varvara G. 8 Lee, Sanghyun 8 Lion, Alexander 8 McBride, Andrew T. 8 Oliver, Javier 8 Rosato, Daniele 8 Schillinger, Dominik 8 Shutov, Alexey V. 8 Tanaka, Masato 8 Verhoosel, Clemens V. 8 Wagner, Werner 7 Barchiesi, Emilio 7 Bilgen, Carola ...and 2,839 more Authors all top 5 Cited in 114 Serials 783 Computer Methods in Applied Mechanics and Engineering 244 Computational Mechanics 207 International Journal for Numerical Methods in Engineering 101 Journal of the Mechanics and Physics of Solids 100 European Journal of Mechanics. 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(English Edition) 1 Computer Aided Geometric Design 1 Numerical Methods for Partial Differential Equations 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Russian Mathematics 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Optimization Methods & Software 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Optimization and Engineering 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Sādhanā 1 Multiscale Modeling & Simulation 1 Structural and Multidisciplinary Optimization 1 International Journal of Numerical Analysis and Modeling 1 Journal of Computational Acoustics ...and 14 more Serials all top 5 Cited in 29 Fields 2,035 Mechanics of deformable solids (74-XX) 416 Numerical analysis (65-XX) 130 Fluid mechanics (76-XX) 100 Partial differential equations (35-XX) 72 Statistical mechanics, structure of matter (82-XX) 61 Biology and other natural sciences (92-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 42 Classical thermodynamics, heat transfer (80-XX) 30 Optics, electromagnetic theory (78-XX) 19 Computer science (68-XX) 13 Geophysics (86-XX) 7 Statistics (62-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Differential geometry (53-XX) 5 General and overarching topics; collections (00-XX) 5 Ordinary differential equations (34-XX) 5 Operations research, mathematical programming (90-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of particles and systems (70-XX) 3 Real functions (26-XX) 2 Operator theory (47-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year