Edit Profile Miehe, Christian Compute Distance To: Compute Author ID: miehe.christian Published as: Miehe, C.; Miehe, Christian Homepage: https://www.mechbau.uni-stuttgart.de/ls1/index.html External Links: MGP · ORCID · GND Documents Indexed: 170 Publications since 1988, including 1 Book Biographic References: 1 Publication 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 Welschinger, Fabian 5 Wriggers, Peter 4 Apel, Nikolas 4 Keck, Joachim 4 Schänzel, Lisa-Marie 4 Scheday, G. 4 Teichtmeister, Stephan 3 Dal, Hüsnü 3 Zimmermann, Dominik 2 Birkle, Manuel 2 Diez, Joel Méndez 2 Ethiraj, Gautam 2 Frankenreiter, Ilona 2 Hildebrand, Felix E. 2 Keip, Marc-André 2 Kiefer, Björn 2 Klaas, Ottmar 2 Koch, Andreas 2 Koch, Andrzej 2 Linder, Christian 2 Lulei, F. 2 Rieger, Andreas 2 Schley, Stefan 2 Simo, Juan Carlos 2 Ulmer, Heike 2 Vallicotti, Daniel 2 Wagner, Werner 1 Böger, L. 1 Celigoj, Christian C. 1 Garikipati, Krishna 1 Govindjee, Sanjay 1 Hackl, Klaus 1 Kienle, Daniel 1 Kleiber, Martin 1 Koch, Adina 1 Lee, Seokho 1 Mainik, Andreas 1 Méndez, Joel 1 Mielke, Alexander 1 Nateghi, Alireza 1 Raina, Ashok K. 1 Sridhar, Arvind 1 Tkachuk, Mykola V. 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 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 2 GAMM-Mitteilungen 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 166 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) 3 Optics, electromagnetic theory (78-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) 2 Fluid mechanics (76-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 2,893 times in 1,483 Documents Cited by ▼ Year ▼ Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations. Zbl 1202.74014Miehe, C.; Welschinger, F.; Hofacker, M. 227 2010 A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits. Zbl 1231.74022Miehe, Christian; Hofacker, Martina; Welschinger, Fabian 209 2010 Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Zbl 0764.73088Simo, J. C.; Miehe, C. 189 1992 Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials. Zbl 0982.74068Miehe, Christian; Schröder, Jörg; Schotte, Jan 133 1999 Computational micro-to-macro transitions of discretized microstructures undergoing small strains. Zbl 1032.74010Miehe, C.; Koch, A. 101 2002 Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. Zbl 1027.74056Miehe, Christian 90 2002 A micro-macro approach to rubber-like materials. I: The non-affine micro-sphere model of rubber elasticity. Zbl 1091.74008Miehe, C.; Göktepe, S.; Lulei, F. 73 2004 Aspects of the formulation and finite element implementation of large strain isotropic elasticity. Zbl 0804.73067Miehe, C. 72 1994 Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals. Zbl 1151.74403Miehe, C.; Schotte, J.; Lambrecht, M. 69 2002 Computational micro-to-macro transitions for discretized micro-structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy. Zbl 1091.74530Miehe, Christian 60 2003 Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity. Zbl 0892.73012Miehe, Christian 57 1996 Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation. Zbl 0998.74014Miehe, Christian; Keck, Joachim 53 2000 Anisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials. Zbl 1083.74518Miehe, C.; Apel, N.; Lambrecht, M. 50 2002 Discontinuous and continuous damage evolution in Ogden-type large-strain elastic materials. Zbl 0837.73054Miehe, C. 49 1995 A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains. Zbl 0970.74043Miehe, Christian 46 1998 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 1423.74837Miehe, C.; Hofacker, M.; Schänzel, L.-M.; Aldakheel, F. 42 2015 A phase field model of dynamic fracture: robust field updates for the analysis of complex crack patterns. Zbl 1352.74022Hofacker, M.; Miehe, C. 42 2013 Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals. Zbl 0899.73136Miehe, Christian 42 1996 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 1423.74838Miehe, Christian; Schänzel, Lisa-Marie; Ulmer, Heike 40 2015 A robust algorithm for configurational-force-driven brittle crack propagation with R-adaptive mesh alignment. Zbl 1194.74444Miehe, C.; Gürses, E. 40 2007 A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric. Zbl 0935.74022Miehe, Christian 40 1998 A multi-field incremental variational framework for gradient-extended standard dissipative solids. Zbl 1270.74022Miehe, Christian 39 2011 Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation. Zbl 0851.73012Miehe, C. 39 1995 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 1425.74423Miehe, Christian; Mauthe, Steffen 38 2016 Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction. Zbl 1099.74517Miehe, Christian; Schröder, Jörg; Becker, Martin 38 2002 A quadratically convergent procedure for the calculation of stability points in finite element analysis. Zbl 0653.73031Wriggers, P.; Wagner, W.; Miehe, C. 38 1988 A multi-variant martensitic phase transformation model: Formulation and numerical implementation. Zbl 1007.74061Govindjee, Sanjay; Miehe, Christian 37 2001 A micro-macro approach to rubber-like materials. II: The micro-sphere model of finite rubber viscoelasticity. Zbl 1120.74373Miehe, Christian; Göktepe, Serdar 34 2005 A micro-macro approach to rubber-like materials. III: The micro-sphere model of anisotropic Mullins-type damage. Zbl 1120.74320Göktepe, Serdar; Miehe, Christian 32 2005 Comparison of two algorithms for the computation of fourth-order isotropic tensor functions. Zbl 0929.74128Miehe, C. 32 1998 On multiscale FE analyses of heterogeneous structures: from homogenization to multigrid solvers. Zbl 1194.74443Miehe, C.; Bayreuther, C. G. 31 2007 Contact constraints within coupled thermomechanical analysis. – A finite element model. Zbl 0847.73069Wriggers, P.; Miehe, C. 29 1994 A computational framework of three-dimensional configurational-force-driven brittle crack propagation. Zbl 1227.74070Gürses, Ercan; Miehe, Christian 27 2009 Computation of isotropic tensor functions. Zbl 0796.65059Miehe, C. 27 1993 Phase field modeling of fracture in rubbery polymers. I. Finite elasticity coupled with brittle failure. Zbl 1323.74012Miehe, Christian; Schänzel, Lisa-Marie 26 2014 Multisurface thermoplasticity for single crystals at large strains in terms of Eulerian vector updates. Zbl 0929.74019Miehe, C. 26 1996 Algorithms for computation of stresses and elasticity moduli in terms of Seth-Hill’s family of generalized strain tensors. Zbl 1049.74011Miehe, Christian; Lambrecht, Matthias 25 2001 Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: evolving deformation microstructures in finite plasticity. Zbl 1115.74323Miehe, C.; Lambrecht, M.; Gürses, E. 24 2004 Analysis of microstructure development in shearbands by energy relaxation of incremental stress potentials: Large-strain theory for standard dissipative solids. Zbl 1032.74526Miehe, Christian; Lambrecht, Matthias 24 2003 A formulation of finite elastoplasticity based on dual co- and contra-variant eigenvector triads normalized with respect to a plastic metric. Zbl 0948.74009Miehe, Christian 24 1998 Comparison of different finite deformation inelastic damage models within multiplicative elastoplasticity for ductile materials. Zbl 0816.73021Steinmann, P.; Miehe, C.; Stein, Erwin 24 1994 A theory of large-strain isotropic thermoplasticity based on metric transformation tensors. Zbl 0844.73027Miehe, C. 23 1995 On the representation of Prandtl-Reuss tensors within the framework of multiplicative elastoplasticity. Zbl 0810.73016Miehe, Christian 23 1994 Variational principles in dissipative electro-magneto-mechanics: a framework for the macro-modeling of functional materials. Zbl 1235.74040Miehe, C.; Rosato, D.; Kiefer, B. 21 2011 A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity. Zbl 1006.74091Miehe, Christian; Schröder, Jörg 21 2001 Variational gradient plasticity at finite strains. I: Mixed potentials for the evolution and update problems of gradient-extended dissipative solids. Zbl 1295.74013Miehe, Christian 19 2014 Phase-field modelling of ductile fracture: a variational gradient-extended plasticity-damage theory and its micromorphic regularization. Zbl 1353.74065Miehe, C.; Teichtmeister, S.; Aldakheel, F. 18 2016 Homogenization and two-scale simulations of granular materials for different microstructural constraints. Zbl 1197.74084Miehe, C.; Dettmar, J.; Zäh, D. 18 2010 A computational framework of configurational-force-driven brittle fracture based on incremental energy minimization. Zbl 1198.74008Miehe, Christian; Gürses, Ercan; Birkle, Manuel 18 2007 Energy relaxation of non-convex incremental stress potentials in a strain-softening elastic–plastic bar. Zbl 1065.74543Lambrecht, M.; Miehe, C.; Dettmar, J. 17 2003 On the coupled thermomechanical treatment of necking problems via finite element methods. Zbl 0760.73070Wriggers, P.; Miehe, C.; Kleiber, M.; Simo, J. C. 17 1992 A phase field model of electromechanical fracture. Zbl 1200.74123Miehe, C.; Welschinger, F.; Hofacker, M. 16 2010 Post-critical discontinuous localization analysis of small-strain softening elastoplastic solids. Zbl 0816.73011Miehe, C.; Schröder, J. 16 1994 Mixed variational principles and robust finite element implementations of gradient plasticity at small strains. Zbl 1352.74408Miehe, C.; Aldakheel, F.; Mauthe, S. 15 2013 Finite viscoplasticity of amorphous glassy polymers in the logarithmic strain space. Zbl 1168.74324Miehe, C.; Göktepe, S.; Diez, J. Méndez 15 2009 A framework for micro-macro transitions in periodic particle aggregates of granular materials. Zbl 1075.76541Miehe, Christian; Dettmar, Joachim 15 2004 Variational gradient plasticity at finite strains. II: Local-global updates and mixed finite elements for additive plasticity in the logarithmic strain space. Zbl 1295.74014Miehe, Christian; Welschinger, Fabian; Aldakheel, Fadi 14 2014 A modified Gurson-type plasticity model at finite strains: formulation, numerical analysis and phase-field coupling. Zbl 06980140Aldakheel, Fadi; Wriggers, Peter; Miehe, Christian 13 2018 A micromechanically motivated diffusion-based transient network model and its incorporation into finite rubber viscoelasticity. Zbl 1270.74035Linder, Christian; Tkachuk, Mykola; Miehe, Christian 13 2011 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 1075.74659Miehe, Christian; Apel, Nikolas 13 2004 A phase-field model for chemo-mechanical induced fracture in lithium-ion battery electrode particles. Zbl 1352.74116Miehe, C.; Dal, H.; Schänzel, L.-M.; Raina, A. 12 2016 Computational structural and material stability analysis in finite electro-elasto-statics of electro-active materials. Zbl 1352.74115Miehe, C.; Vallicotti, D.; Zäh, D. 12 2015 A rate-dependent incremental variational formulation of ferroelectricity. Zbl 1231.74319Miehe, C.; Rosato, D. 12 2011 A two-scale finite element relaxation analysis of shear bands in non-convex inelastic solids: Small-strain theory for standard dissipative materials. Zbl 1088.74044Miehe, Christian; Lambrecht, Matthias 12 2003 Variational gradient plasticity at finite strains. III: Local-global updates and regularization techniques in multiplicative plasticity for single crystals. Zbl 1295.74012Miehe, C.; Mauthe, S.; Hildebrand, F. E. 11 2014 On the homogenization analysis of composite materials based on discretized fluctations on the micro-structure. Zbl 1008.74070Miehe, C.; Schröder, J.; Bayreuther, C. 11 2002 New finite elements with embedded strong discontinuities for the modeling of failure in electromechanical coupled solids. Zbl 1225.74095Linder, C.; Rosato, D.; Miehe, C. 10 2010 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 1066.74056Miehe, Christian; Schotte, Jan 10 2004 Formulation and numerical exploitation of mixed variational principles for coupled problems of Cahn-Hilliard-type and standard diffusion in elastic solids. Zbl 1352.74110Miehe, C.; Mauthe, S.; Ulmer, H. 9 2014 Energy and momentum conserving elastodynamics of a nonlinear brick-type mixed finite shell element. Zbl 0977.74063Miehe, Christian; Schröder, Jörg 9 2001 A regularized dual mixed element for plane elasticity. Implementation and performance of the BDM element. Zbl 0852.73065Klaas, Ottmar; Schröder, Jörg; Stein, Erwin; Miehe, Christian 9 1995 Multiplicative magneto-elasticity of magnetosensitive polymers incorporating micromechanically-based network kernels. Zbl 1423.74308Ethiraj, G.; Miehe, C. 8 2016 Mixed variational potentials and inherent symmetries of the Cahn-Hilliard theory of diffusive phase separation. Zbl 1372.65272Miehe, C.; Hildebrand, F. E.; Böger, L. 8 2014 Computational homogenization in dissipative electro-mechanics of functional materials. Zbl 1286.74086Zäh, Dominic; Miehe, Christian 8 2013 Associative multiplicative elasto-plasticity: Formulation and aspects of the numerical implementation including stability analysis. Zbl 0900.73206Miehe, C.; Stein, Erwin; Wagner, Werner 8 1994 Homogenization and multiscale stability analysis in finite magneto-electro-elasticity. Application to soft matter EE, ME and MEE composites. Zbl 1425.74401Miehe, Christian; Vallicotti, Daniel; Teichtmeister, Stephan 5 2016 Multiplicative electro-elasticity of electroactive polymers accounting for micromechanically-based network models. Zbl 1423.74710Zäh, Dominic; Miehe, Christian 5 2015 Computational electro-chemo-mechanics of lithium-ion battery electrodes at finite strains. Zbl 1398.74101Dal, Hüsnü; Miehe, Christian 5 2015 On evolving deformation microstructures in non-convex partially damaged solids. Zbl 1270.74021Gürses, E.; Miehe, C. 5 2011 Fast transient dynamic plane stress analysis of orthotropic Hill-type solids at finite elastoplastic strains. Zbl 0911.73030Steinmann, Paul; Miehe, Christian; Stein, Erwin 5 1996 Instability phenomena in plasticity: Modelling and computation. Zbl 0860.73017Stein, Erwin; Steinmann, P.; Miehe, C. 5 1995 A geometrically consistent incremental variational formulation for phase field models in micromagnetics. Zbl 1354.74196Miehe, Christian; Ethiraj, Gautam 4 2012 On the localization analysis of orthotropic Hill type elastoplastic solids. Zbl 0826.73021Steinmann, P.; Miehe, C.; Stein, Erwin 4 1994 Dissipative ferroelectricity at finite strains. Variational principles, constitutive assumptions and algorithms. Zbl 1423.74320Rosato, Daniele; Miehe, Christian 3 2014 Elastica-based strain energy functions for soft biological tissue. Zbl 1171.74382Garikipati, K.; Göktepe, S.; Miehe, C. 3 2008 A physically nonlinear dual mixed finite element formulation. Zbl 0892.73071Schröder, J.; Klaas, O.; Stein, Erwin; Miehe, C. 3 1997 Phase field modeling of fracture in porous plasticity: a variational gradient-extended Eulerian framework for the macroscopic analysis of ductile failure. Zbl 1439.74112Miehe, Christian; Kienle, Daniel; Aldakheel, Fadi; Teichtmeister, Stephan 2 2016 Homogenization in micro-magneto-mechanics. Zbl 1398.74108Sridhar, A.; Keip, M.-A.; Miehe, C. 2 2016 Variational-based modeling of micro-electro-elasticity with electric field-driven and stress-driven domain evolutions. Zbl 1246.74018Miehe, C.; Zäh, D.; Rosato, D. 2 2012 Fast texture updates in fcc polycrystal plasticity based on a linear active-set-estimate of the lattice spin. Zbl 1159.74334Miehe, C.; Rosato, D. 2 2007 Computational homogenization of materials with microstructures based on incremental variational formulations. Zbl 1040.74039Miehe, C.; Lambrecht, M.; Schotte, J. 2 2003 Parameter identification for finite elasticity with inhomogeneous deformations. Zbl 0980.74502Scheday, G.; Miehe, C. 2 2001 Brick-type axisymmetric mixed finite shell elements for large-strain inelastic stress analysis. Zbl 0942.74659Schley, S.; Miehe, C. 2 1999 Zur konsistenten Linearisierung eines thermomechanischen Prozesses. (The consistent linearization of thermo-mechanical processes). Zbl 0662.73004Miehe, C. 2 1988 Variational gradient plasticity: local-global updates, regularization and laminate microstructures in single crystals. Zbl 1411.74020Mauthe, Steffen; Miehe, Christian 1 2015 Mixed variational principles for the evolution problem of gradient-extended dissipative solids. Zbl 1255.74021Miehe, Christian 1 2012 Exploitation of configurational forces in extended nonlocal continua with microstructure. Zbl 1393.74134Frankenreiter, Ilona; Zimmermann, Dominik; Miehe, Christian 1 2008 Analytical and numerical methods for finite-strain elastoplasticity. Zbl 1298.74040Gürses, Ercan; Mainik, Andreas; Miehe, Christian; Mielke, Alexander 1 2006 Multiscale modeling of anisotropies in single crystals and polycrystals at finite strains. Zbl 1298.74052Miehe, Christian; Becker, Martin 1 2006 Microstructure development in standard dissipative solids based on energy minimization. Zbl 1158.74010Miehe, Christian 1 2006 A modified Gurson-type plasticity model at finite strains: formulation, numerical analysis and phase-field coupling. Zbl 06980140Aldakheel, Fadi; Wriggers, Peter; Miehe, Christian 13 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 1425.74423Miehe, Christian; Mauthe, Steffen 38 2016 Phase-field modelling of ductile fracture: a variational gradient-extended plasticity-damage theory and its micromorphic regularization. Zbl 1353.74065Miehe, C.; Teichtmeister, S.; Aldakheel, F. 18 2016 A phase-field model for chemo-mechanical induced fracture in lithium-ion battery electrode particles. Zbl 1352.74116Miehe, C.; Dal, H.; Schänzel, L.-M.; Raina, A. 12 2016 Multiplicative magneto-elasticity of magnetosensitive polymers incorporating micromechanically-based network kernels. Zbl 1423.74308Ethiraj, G.; Miehe, C. 8 2016 Homogenization and multiscale stability analysis in finite magneto-electro-elasticity. Application to soft matter EE, ME and MEE composites. Zbl 1425.74401Miehe, Christian; Vallicotti, Daniel; Teichtmeister, Stephan 5 2016 Phase field modeling of fracture in porous plasticity: a variational gradient-extended Eulerian framework for the macroscopic analysis of ductile failure. Zbl 1439.74112Miehe, Christian; Kienle, Daniel; Aldakheel, Fadi; Teichtmeister, Stephan 2 2016 Homogenization in micro-magneto-mechanics. Zbl 1398.74108Sridhar, A.; Keip, M.-A.; Miehe, C. 2 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 1423.74837Miehe, C.; Hofacker, M.; Schänzel, L.-M.; Aldakheel, F. 42 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 1423.74838Miehe, Christian; Schänzel, Lisa-Marie; Ulmer, Heike 40 2015 Computational structural and material stability analysis in finite electro-elasto-statics of electro-active materials. Zbl 1352.74115Miehe, C.; Vallicotti, D.; Zäh, D. 12 2015 Multiplicative electro-elasticity of electroactive polymers accounting for micromechanically-based network models. Zbl 1423.74710Zäh, Dominic; Miehe, Christian 5 2015 Computational electro-chemo-mechanics of lithium-ion battery electrodes at finite strains. Zbl 1398.74101Dal, Hüsnü; Miehe, Christian 5 2015 Variational gradient plasticity: local-global updates, regularization and laminate microstructures in single crystals. Zbl 1411.74020Mauthe, Steffen; Miehe, Christian 1 2015 Phase field modeling of fracture in rubbery polymers. I. Finite elasticity coupled with brittle failure. Zbl 1323.74012Miehe, Christian; Schänzel, Lisa-Marie 26 2014 Variational gradient plasticity at finite strains. I: Mixed potentials for the evolution and update problems of gradient-extended dissipative solids. Zbl 1295.74013Miehe, Christian 19 2014 Variational gradient plasticity at finite strains. II: Local-global updates and mixed finite elements for additive plasticity in the logarithmic strain space. Zbl 1295.74014Miehe, Christian; Welschinger, Fabian; Aldakheel, Fadi 14 2014 Variational gradient plasticity at finite strains. III: Local-global updates and regularization techniques in multiplicative plasticity for single crystals. Zbl 1295.74012Miehe, C.; Mauthe, S.; Hildebrand, F. E. 11 2014 Formulation and numerical exploitation of mixed variational principles for coupled problems of Cahn-Hilliard-type and standard diffusion in elastic solids. Zbl 1352.74110Miehe, C.; Mauthe, S.; Ulmer, H. 9 2014 Mixed variational potentials and inherent symmetries of the Cahn-Hilliard theory of diffusive phase separation. Zbl 1372.65272Miehe, C.; Hildebrand, F. E.; Böger, L. 8 2014 Dissipative ferroelectricity at finite strains. Variational principles, constitutive assumptions and algorithms. Zbl 1423.74320Rosato, Daniele; Miehe, Christian 3 2014 A phase field model of dynamic fracture: robust field updates for the analysis of complex crack patterns. Zbl 1352.74022Hofacker, M.; Miehe, C. 42 2013 Mixed variational principles and robust finite element implementations of gradient plasticity at small strains. Zbl 1352.74408Miehe, C.; Aldakheel, F.; Mauthe, S. 15 2013 Computational homogenization in dissipative electro-mechanics of functional materials. Zbl 1286.74086Zäh, Dominic; Miehe, Christian 8 2013 A geometrically consistent incremental variational formulation for phase field models in micromagnetics. Zbl 1354.74196Miehe, Christian; Ethiraj, Gautam 4 2012 Variational-based modeling of micro-electro-elasticity with electric field-driven and stress-driven domain evolutions. Zbl 1246.74018Miehe, C.; Zäh, D.; Rosato, D. 2 2012 Mixed variational principles for the evolution problem of gradient-extended dissipative solids. Zbl 1255.74021Miehe, Christian 1 2012 A multi-field incremental variational framework for gradient-extended standard dissipative solids. Zbl 1270.74022Miehe, Christian 39 2011 Variational principles in dissipative electro-magneto-mechanics: a framework for the macro-modeling of functional materials. Zbl 1235.74040Miehe, C.; Rosato, D.; Kiefer, B. 21 2011 A micromechanically motivated diffusion-based transient network model and its incorporation into finite rubber viscoelasticity. Zbl 1270.74035Linder, Christian; Tkachuk, Mykola; Miehe, Christian 13 2011 A rate-dependent incremental variational formulation of ferroelectricity. Zbl 1231.74319Miehe, C.; Rosato, D. 12 2011 On evolving deformation microstructures in non-convex partially damaged solids. Zbl 1270.74021Gürses, E.; Miehe, C. 5 2011 Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations. Zbl 1202.74014Miehe, C.; Welschinger, F.; Hofacker, M. 227 2010 A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits. Zbl 1231.74022Miehe, Christian; Hofacker, Martina; Welschinger, Fabian 209 2010 Homogenization and two-scale simulations of granular materials for different microstructural constraints. Zbl 1197.74084Miehe, C.; Dettmar, J.; Zäh, D. 18 2010 A phase field model of electromechanical fracture. Zbl 1200.74123Miehe, C.; Welschinger, F.; Hofacker, M. 16 2010 New finite elements with embedded strong discontinuities for the modeling of failure in electromechanical coupled solids. Zbl 1225.74095Linder, C.; Rosato, D.; Miehe, C. 10 2010 A computational framework of three-dimensional configurational-force-driven brittle crack propagation. Zbl 1227.74070Gürses, Ercan; Miehe, Christian 27 2009 Finite viscoplasticity of amorphous glassy polymers in the logarithmic strain space. Zbl 1168.74324Miehe, C.; Göktepe, S.; Diez, J. Méndez 15 2009 Elastica-based strain energy functions for soft biological tissue. Zbl 1171.74382Garikipati, K.; Göktepe, S.; Miehe, C. 3 2008 Exploitation of configurational forces in extended nonlocal continua with microstructure. Zbl 1393.74134Frankenreiter, Ilona; Zimmermann, Dominik; Miehe, Christian 1 2008 A robust algorithm for configurational-force-driven brittle crack propagation with R-adaptive mesh alignment. Zbl 1194.74444Miehe, C.; Gürses, E. 40 2007 On multiscale FE analyses of heterogeneous structures: from homogenization to multigrid solvers. Zbl 1194.74443Miehe, C.; Bayreuther, C. G. 31 2007 A computational framework of configurational-force-driven brittle fracture based on incremental energy minimization. Zbl 1198.74008Miehe, Christian; Gürses, Ercan; Birkle, Manuel 18 2007 Fast texture updates in fcc polycrystal plasticity based on a linear active-set-estimate of the lattice spin. Zbl 1159.74334Miehe, C.; Rosato, D. 2 2007 Analytical and numerical methods for finite-strain elastoplasticity. Zbl 1298.74040Gürses, Ercan; Mainik, Andreas; Miehe, Christian; Mielke, Alexander 1 2006 Multiscale modeling of anisotropies in single crystals and polycrystals at finite strains. Zbl 1298.74052Miehe, Christian; Becker, Martin 1 2006 Microstructure development in standard dissipative solids based on energy minimization. Zbl 1158.74010Miehe, Christian 1 2006 A micro-macro approach to rubber-like materials. II: The micro-sphere model of finite rubber viscoelasticity. Zbl 1120.74373Miehe, Christian; Göktepe, Serdar 34 2005 A micro-macro approach to rubber-like materials. III: The micro-sphere model of anisotropic Mullins-type damage. Zbl 1120.74320Göktepe, Serdar; Miehe, Christian 32 2005 Incompatibility induced nonlocal crystal plasticity. Zbl 1391.74045Becker, Martin; Miehe, Christian 1 2005 A micro-macro approach to rubber-like materials. I: The non-affine micro-sphere model of rubber elasticity. Zbl 1091.74008Miehe, C.; Göktepe, S.; Lulei, F. 73 2004 Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: evolving deformation microstructures in finite plasticity. Zbl 1115.74323Miehe, C.; Lambrecht, M.; Gürses, E. 24 2004 A framework for micro-macro transitions in periodic particle aggregates of granular materials. Zbl 1075.76541Miehe, Christian; Dettmar, Joachim 15 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 1075.74659Miehe, 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 1066.74056Miehe, Christian; Schotte, Jan 10 2004 Material forces in standard dissipative solids obtained from an incremental variational formulation. Zbl 1354.74220Zimmermann, Dominik; Miehe, Christian 1 2004 Numerical computation of anisotropically evolving yield surfaces based on micro-to-macro transitions. Zbl 1354.74318Gürses, Ercan; Becker, Martin; 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 1091.74530Miehe, Christian 60 2003 Analysis of microstructure development in shearbands by energy relaxation of incremental stress potentials: Large-strain theory for standard dissipative solids. Zbl 1032.74526Miehe, Christian; Lambrecht, Matthias 24 2003 Energy relaxation of non-convex incremental stress potentials in a strain-softening elastic–plastic bar. Zbl 1065.74543Lambrecht, M.; Miehe, C.; Dettmar, J. 17 2003 A two-scale finite element relaxation analysis of shear bands in non-convex inelastic solids: Small-strain theory for standard dissipative materials. Zbl 1088.74044Miehe, Christian; Lambrecht, Matthias 12 2003 Computational homogenization of materials with microstructures based on incremental variational formulations. Zbl 1040.74039Miehe, C.; Lambrecht, M.; Schotte, J. 2 2003 A new micromechanically based approach for the elastic response of rubber-like materials at large strains. Zbl 1354.74192Göktepe, Serdar; Miehe, Christian 1 2003 Coupling of homogenization techniques with multigrid solvers for unstructured meshes. Zbl 1095.74024Bayreuther, Claus G.; Miehe, Christian 1 2003 Computational micro-to-macro transitions of discretized microstructures undergoing small strains. Zbl 1032.74010Miehe, C.; Koch, A. 101 2002 Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. Zbl 1027.74056Miehe, Christian 90 2002 Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals. Zbl 1151.74403Miehe, C.; Schotte, J.; Lambrecht, M. 69 2002 Anisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials. Zbl 1083.74518Miehe, C.; Apel, N.; Lambrecht, M. 50 2002 Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction. Zbl 1099.74517Miehe, Christian; Schröder, Jörg; Becker, Martin 38 2002 On the homogenization analysis of composite materials based on discretized fluctations on the micro-structure. Zbl 1008.74070Miehe, C.; Schröder, J.; Bayreuther, C. 11 2002 A multi-variant martensitic phase transformation model: Formulation and numerical implementation. Zbl 1007.74061Govindjee, Sanjay; Miehe, Christian 37 2001 Algorithms for computation of stresses and elasticity moduli in terms of Seth-Hill’s family of generalized strain tensors. Zbl 1049.74011Miehe, Christian; Lambrecht, Matthias 25 2001 A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity. Zbl 1006.74091Miehe, Christian; Schröder, Jörg 21 2001 Energy and momentum conserving elastodynamics of a nonlinear brick-type mixed finite shell element. Zbl 0977.74063Miehe, Christian; Schröder, Jörg 9 2001 Parameter identification for finite elasticity with inhomogeneous deformations. Zbl 0980.74502Scheday, G.; Miehe, C. 2 2001 A note on formulas for localized failure of frictional materials in compression and biaxial loading modes. Zbl 1035.74052Lambrecht, Matthias; Miehe, Christian 1 2001 Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation. Zbl 0998.74014Miehe, Christian; Keck, Joachim 53 2000 Aspects of homogenization techniques and multigrid solving. Zbl 0997.74047Bayreuther, C. G.; Miehe, C.; Schröder, J. 1 2000 Aspects of adaptive remeshing techniques in finite elasticity. Zbl 0951.74598Koch, A.; Miehe, C. 1 2000 Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials. Zbl 0982.74068Miehe, Christian; Schröder, Jörg; Schotte, Jan 133 1999 Brick-type axisymmetric mixed finite shell elements for large-strain inelastic stress analysis. Zbl 0942.74659Schley, S.; Miehe, C. 2 1999 Texture simulations of polycrystalline materials. Zbl 0942.74545Miehe, C.; Schröder, J.; Schotte, J. 1 1999 Two non-associated isotropic elastoplastic hardening models for frictional materials. Zbl 0935.74021Lambrecht, M.; Miehe, C. 1 1999 A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains. Zbl 0970.74043Miehe, Christian 46 1998 A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric. Zbl 0935.74022Miehe, Christian 40 1998 Comparison of two algorithms for the computation of fourth-order isotropic tensor functions. Zbl 0929.74128Miehe, C. 32 1998 A formulation of finite elastoplasticity based on dual co- and contra-variant eigenvector triads normalized with respect to a plastic metric. Zbl 0948.74009Miehe, Christian 24 1998 A stress-update algorithm in spectral form for an elastoviscoplastic model. Zbl 0925.73918Keck, J.; Miehe, C. 1 1998 A physically nonlinear dual mixed finite element formulation. Zbl 0892.73071Schröder, J.; Klaas, O.; Stein, Erwin; Miehe, C. 3 1997 Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity. Zbl 0892.73012Miehe, Christian 57 1996 Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals. Zbl 0899.73136Miehe, Christian 42 1996 Multisurface thermoplasticity for single crystals at large strains in terms of Eulerian vector updates. Zbl 0929.74019Miehe, C. 26 1996 Fast transient dynamic plane stress analysis of orthotropic Hill-type solids at finite elastoplastic strains. Zbl 0911.73030Steinmann, Paul; Miehe, Christian; Stein, Erwin 5 1996 Discontinuous and continuous damage evolution in Ogden-type large-strain elastic materials. Zbl 0837.73054Miehe, C. 49 1995 Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation. Zbl 0851.73012Miehe, C. 39 1995 A theory of large-strain isotropic thermoplasticity based on metric transformation tensors. Zbl 0844.73027Miehe, C. 23 1995 A regularized dual mixed element for plane elasticity. Implementation and performance of the BDM element. Zbl 0852.73065Klaas, Ottmar; Schröder, Jörg; Stein, Erwin; Miehe, Christian 9 1995 Instability phenomena in plasticity: Modelling and computation. Zbl 0860.73017Stein, Erwin; Steinmann, P.; Miehe, C. 5 1995 Aspects of the formulation and finite element implementation of large strain isotropic elasticity. Zbl 0804.73067Miehe, C. 72 1994 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,145 Authors 78 Miehe, Christian 43 Wriggers, Peter 42 Steinmann, Paul 25 Menzel, Andreas M. 21 Mosler, Jörn 21 Schröder, Jörg 21 Wick, Thomas 20 Hackl, Klaus 20 Runesson, Kenneth 19 Reese, Stefanie 18 Larsson, Fredrik 18 Stein, Erwin 18 Sun, WaiChing 17 Rabczuk, Timon 16 Stefanelli, Ulisse 14 Aldakheel, Fadi 14 Kaliske, Michael 14 Mahnken, Rolf 13 de Lorenzis, Laura 13 de Souza Neto, Eduardo Alberto 13 Geers, Marc G. D. 13 Holzapfel, Gerhard A. 12 Balzani, Daniel 12 Linder, Christian 12 Mielke, Alexander 12 Ortiz, Michael 12 Stainier, Laurent 11 Areias, Pedro M. A. 11 Dal, Hüsnü 11 Fish, Jacob 11 Hesch, Christian 11 Javili, Ali 11 Temizer, Ilker 11 Wheeler, Mary Fanett 10 Coombs, William M. 10 Gil, Antonio J. 10 Svendsen, Bob 10 Yvonnet, Julien 9 Auricchio, Ferdinando 9 Betsch, Peter 9 Conti, Sergio 9 Itskov, Mikhail 9 Perić, Djordje 9 Roubíček, Tomáš 9 Sluys, Lambertus Johannes 9 Waisman, Haim 9 Xiao, Heng 8 Ambati, Marreddy 8 Augarde, Charles Edward 8 de Borst, René 8 Dittmann, Moritz Christopher 8 Doblaré, Manuel 8 Fernández, Jose Ramon 8 Göktepe, Serdar 8 Ibrahimbegović, Adnan 8 Junker, Philipp 8 Keip, Marc-André 8 Kochmann, Dennis M. 8 Kuhl, Ellen 8 Lion, Alexander 8 Liu, Wing Kam 8 Montáns, Francisco-Javier 8 Ortigosa, Rogelio 8 Rosato, Daniele 8 Yang, Xiaofeng 7 Campo, Marco A. 7 Feijóo, Raúl Antonino 7 Fritzen, Felix 7 Hartmann, Stefan 7 Hughes, Thomas J. R. 7 Klinkel, Sven 7 Kouznetsova, Varvara G. 7 Larsson, Ragnar 7 Meschke, Günther 7 Nguyen, Vinh Phu 7 Oliver, Javier 7 Petryk, Henryk 7 Simo, Juan Carlos 7 Tanaka, Masato 7 Wagner, Werner 7 Wall, Wolfgang A. 7 Wulfinghoff, Stephan 7 Zhang, Hongwu 6 Blanco, Pablo Javier 6 Denzer, Ralf 6 Diebels, Stefan 6 Ekh, Magnus 6 Franke, Marlon 6 Gürses, Ercan 6 Huespe, Alfredo E. 6 Kästner, Markus 6 Lambrecht, Matthias 6 Lloberas-Valls, Oriol 6 Matouš, Karel 6 Mergheim, Julia 6 Muller, Ralf 6 Neff, Patrizio 6 Papadopoulos, Panayiotis 6 Ristinmaa, Matti 6 Schillinger, Dominik ...and 2,045 more Authors all top 5 Cited in 94 Serials 508 Computer Methods in Applied Mechanics and Engineering 172 Computational Mechanics 154 International Journal for Numerical Methods in Engineering 81 Journal of the Mechanics and Physics of Solids 63 European Journal of Mechanics. A. Solids 35 Acta Mechanica 33 Continuum Mechanics and Thermodynamics 31 Mathematics and Mechanics of Solids 23 International Journal of Plasticity 23 International Journal of Solids and Structures 21 Engineering Computations 20 Archive of Applied Mechanics 19 International Journal of Engineering Science 17 Archives of Computational Methods in Engineering 14 Journal of Computational Physics 14 Communications in Numerical Methods in Engineering 12 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 11 Journal of Elasticity 11 Engineering Analysis with Boundary Elements 10 Computers & Mathematics with Applications 10 GAMM-Mitteilungen 9 Archive for Rational Mechanics and Analysis 9 Meccanica 8 Journal of Computational and Applied Mathematics 7 Mechanics Research Communications 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Applied Mathematical Modelling 7 Journal of Theoretical Biology 6 Proceedings of the Royal Society of London. A. 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Proceedings in Applied Mathematics and Mechanics 2 Archives of Mechanics 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Optimization Theory and Applications 2 Physica D 2 Mathematical Problems in Engineering 2 Journal of Applied Mechanics and Technical Physics 2 Lobachevskii Journal of Mathematics 2 GEM - International Journal on Geomathematics 2 International Journal of Structural Stability and Dynamics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Ingenieur-Archiv 1 Journal of Mathematical Biology 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Computation 1 Calcolo 1 Journal of Differential Equations 1 Journal of Philosophical Logic 1 Nonlinear Analysis. Theory, Methods & Applications. 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(English Edition) all top 5 Cited in 26 Fields 1,420 Mechanics of deformable solids (74-XX) 251 Numerical analysis (65-XX) 64 Fluid mechanics (76-XX) 61 Partial differential equations (35-XX) 51 Statistical mechanics, structure of matter (82-XX) 48 Biology and other natural sciences (92-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 41 Classical thermodynamics, heat transfer (80-XX) 15 Optics, electromagnetic theory (78-XX) 7 Geophysics (86-XX) 6 Statistics (62-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Ordinary differential equations (34-XX) 5 Differential geometry (53-XX) 5 Computer science (68-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) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Systems theory; control (93-XX) Citations by Year