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Author ID: miehe.christian Recent zbMATH articles by "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: 168 Publications since 1988
2 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 53 Co-Authors with 142 Joint Publications
803 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

112 Publications have been cited 3,374 times in 1,712 Documents Cited by Year
Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations. Zbl 1202.74014
Miehe, C.; Welschinger, F.; Hofacker, M.
316
2010
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
307
2010
Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Zbl 0764.73088
Simo, J. C.; Miehe, C.
203
1992
Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials. Zbl 0982.74068
Miehe, Christian; Schröder, Jörg; Schotte, Jan
151
1999
Computational micro-to-macro transitions of discretized microstructures undergoing small strains. Zbl 1032.74010
Miehe, C.; Koch, A.
115
2002
Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. Zbl 1027.74056
Miehe, Christian
101
2002
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.
78
2004
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.
74
2015
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.
73
2002
Aspects of the formulation and finite element implementation of large strain isotropic elasticity. Zbl 0804.73067
Miehe, C.
73
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
69
2003
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
67
2015
Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity. Zbl 0892.73012
Miehe, Christian
63
1996
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
57
2000
A phase field model of dynamic fracture: robust field updates for the analysis of complex crack patterns. Zbl 1352.74022
Hofacker, M.; Miehe, C.
57
2013
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
56
2016
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.
54
2002
Discontinuous and continuous damage evolution in Ogden-type large-strain elastic materials. Zbl 0837.73054
Miehe, C.
49
1995
A multi-field incremental variational framework for gradient-extended standard dissipative solids. Zbl 1270.74022
Miehe, Christian
47
2011
A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains. Zbl 0970.74043
Miehe, Christian
44
1998
Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation. Zbl 0851.73012
Miehe, C.
43
1995
A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric. Zbl 0935.74022
Miehe, Christian
42
1998
Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals. Zbl 0899.73136
Miehe, Christian
42
1996
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
41
2002
A robust algorithm for configurational-force-driven brittle crack propagation with R-adaptive mesh alignment. Zbl 1194.74444
Miehe, C.; Gürses, E.
41
2007
A quadratically convergent procedure for the calculation of stability points in finite element analysis. Zbl 0653.73031
Wriggers, P.; Wagner, W.; Miehe, C.
40
1988
A multi-variant martensitic phase transformation model: Formulation and numerical implementation. Zbl 1007.74061
Govindjee, Sanjay; Miehe, Christian
39
2001
A micro-macro approach to rubber-like materials. II: The micro-sphere model of finite rubber viscoelasticity. Zbl 1120.74373
Miehe, Christian; Göktepe, Serdar
38
2005
Phase field modeling of fracture in rubbery polymers. I. Finite elasticity coupled with brittle failure. Zbl 1323.74012
Miehe, Christian; Schänzel, Lisa-Marie
37
2014
On multiscale FE analyses of heterogeneous structures: from homogenization to multigrid solvers. Zbl 1194.74443
Miehe, C.; Bayreuther, C. G.
34
2007
Comparison of two algorithms for the computation of fourth-order isotropic tensor functions. Zbl 0929.74128
Miehe, C.
33
1998
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
33
2005
Contact constraints within coupled thermomechanical analysis. – A finite element model. Zbl 0847.73069
Wriggers, P.; Miehe, C.
31
1994
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
27
2001
Computation of isotropic tensor functions. Zbl 0796.65059
Miehe, C.
27
1993
A computational framework of three-dimensional configurational-force-driven brittle crack propagation. Zbl 1227.74070
Gürses, Ercan; Miehe, Christian
27
2009
Multisurface thermoplasticity for single crystals at large strains in terms of Eulerian vector updates. Zbl 0929.74019
Miehe, C.
26
1996
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
26
2018
Comparison of different finite deformation inelastic damage models within multiplicative elastoplasticity for ductile materials. Zbl 0816.73021
Steinmann, P.; Miehe, C.; Stein, Erwin
25
1994
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.
25
2004
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
24
1998
A theory of large-strain isotropic thermoplasticity based on metric transformation tensors. Zbl 0844.73027
Miehe, C.
24
1995
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
24
2003
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.
24
2011
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.
24
2016
On the representation of Prandtl-Reuss tensors within the framework of multiplicative elastoplasticity. Zbl 0810.73016
Miehe, Christian
23
1994
A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity. Zbl 1006.74091
Miehe, Christian; Schröder, Jörg
22
2001
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
21
2014
A phase field model of electromechanical fracture. Zbl 1200.74123
Miehe, C.; Welschinger, F.; Hofacker, M.
20
2010
On the coupled thermomechanical treatment of necking problems via finite element methods. Zbl 0760.73070
Wriggers, P.; Miehe, C.; Kleiber, M.; Simo, J. C.
19
1992
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
19
2014
Homogenization and two-scale simulations of granular materials for different microstructural constraints. Zbl 1197.74084
Miehe, C.; Dettmar, J.; Zäh, D.
19
2010
A computational framework of configurational-force-driven brittle fracture based on incremental energy minimization. Zbl 1198.74008
Miehe, Christian; Gürses, Ercan; Birkle, Manuel
18
2007
Energy relaxation of non-convex incremental stress potentials in a strain-softening elastic–plastic bar. Zbl 1065.74543
Lambrecht, M.; Miehe, C.; Dettmar, J.
17
2003
A framework for micro-macro transitions in periodic particle aggregates of granular materials. Zbl 1075.76541
Miehe, Christian; Dettmar, Joachim
16
2004
Post-critical discontinuous localization analysis of small-strain softening elastoplastic solids. Zbl 0816.73011
Miehe, C.; Schröder, J.
16
1994
Mixed variational principles and robust finite element implementations of gradient plasticity at small strains. Zbl 1352.74408
Miehe, C.; Aldakheel, F.; Mauthe, S.
16
2013
Finite viscoplasticity of amorphous glassy polymers in the logarithmic strain space. Zbl 1168.74324
Miehe, C.; Göktepe, S.; Diez, J. Méndez
15
2009
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.
15
2016
A micromechanically motivated diffusion-based transient network model and its incorporation into finite rubber viscoelasticity. Zbl 1270.74035
Linder, Christian; Tkachuk, Mykola; Miehe, Christian
14
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.
14
2015
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
A rate-dependent incremental variational formulation of ferroelectricity. Zbl 1231.74319
Miehe, C.; Rosato, D.
13
2011
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.
13
2014
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
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.
12
2010
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
11
2003
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.
11
2014
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
10
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.
10
2014
Energy and momentum conserving elastodynamics of a nonlinear brick-type mixed finite shell element. Zbl 0977.74063
Miehe, Christian; Schröder, Jörg
9
2001
Associative multiplicative elasto-plasticity: Formulation and aspects of the numerical implementation including stability analysis. Zbl 0900.73206
Miehe, C.; Stein, Erwin; Wagner, Werner
8
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
Computational homogenization in dissipative electro-mechanics of functional materials. Zbl 1286.74086
Zäh, Dominic; Miehe, Christian
8
2013
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
8
2016
Multiplicative magneto-elasticity of magnetosensitive polymers incorporating micromechanically-based network kernels. Zbl 1423.74308
Ethiraj, G.; Miehe, C.
8
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
7
2016
Computational electro-chemo-mechanics of lithium-ion battery electrodes at finite strains. Zbl 1398.74101
Dal, Hüsnü; Miehe, Christian
6
2015
On the localization analysis of orthotropic Hill type elastoplastic solids. Zbl 0826.73021
Steinmann, P.; Miehe, C.; Stein, Erwin
5
1994
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 evolving deformation microstructures in non-convex partially damaged solids. Zbl 1270.74021
Gürses, E.; Miehe, C.
5
2011
A geometrically consistent incremental variational formulation for phase field models in micromagnetics. Zbl 1354.74196
Miehe, Christian; Ethiraj, Gautam
5
2012
Dissipative ferroelectricity at finite strains. Variational principles, constitutive assumptions and algorithms. Zbl 1423.74320
Rosato, Daniele; Miehe, Christian
5
2014
Multiplicative electro-elasticity of electroactive polymers accounting for micromechanically-based network models. Zbl 1423.74710
Zäh, Dominic; Miehe, Christian
5
2015
Instability phenomena in plasticity: Modelling and computation. Zbl 0860.73017
Stein, Erwin; Steinmann, P.; Miehe, C.
4
1995
A physically nonlinear dual mixed finite element formulation. Zbl 0892.73071
Schröder, J.; Klaas, O.; Stein, Erwin; Miehe, C.
3
1997
Elastica-based strain energy functions for soft biological tissue. Zbl 1171.74382
Garikipati, K.; Göktepe, S.; Miehe, C.
3
2008
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
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.
3
2019
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
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.
2
2012
Two non-associated isotropic elastoplastic hardening models for frictional materials. Zbl 0935.74021
Lambrecht, M.; Miehe, C.
1
1999
Texture simulations of polycrystalline materials. Zbl 0942.74545
Miehe, C.; Schröder, J.; Schotte, J.
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
Multiscale modeling of anisotropies in single crystals and polycrystals at finite strains. Zbl 1298.74052
Miehe, Christian; Becker, Martin
1
2006
Analytical and numerical methods for finite-strain elastoplasticity. Zbl 1298.74040
Gürses, Ercan; Mainik, Andreas; Miehe, Christian; Mielke, Alexander
1
2006
Aspects of homogenization techniques and multigrid solving. Zbl 0997.74047
Bayreuther, C. G.; Miehe, C.; Schröder, J.
1
2000
A stress-update algorithm in spectral form for an elastoviscoplastic model. Zbl 0925.73918
Keck, J.; Miehe, C.
1
1998
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.
3
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
26
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
56
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.
24
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.
15
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
8
2016
Multiplicative magneto-elasticity of magnetosensitive polymers incorporating micromechanically-based network kernels. Zbl 1423.74308
Ethiraj, G.; Miehe, C.
8
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
7
2016
Homogenization in micro-magneto-mechanics. Zbl 1398.74108
Sridhar, A.; Keip, M.-A.; Miehe, C.
1
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.
74
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
67
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.
14
2015
Computational electro-chemo-mechanics of lithium-ion battery electrodes at finite strains. Zbl 1398.74101
Dal, Hüsnü; Miehe, Christian
6
2015
Multiplicative electro-elasticity of electroactive polymers accounting for micromechanically-based network models. Zbl 1423.74710
Zäh, Dominic; Miehe, Christian
5
2015
Variational gradient plasticity: local-global updates, regularization and laminate microstructures in single crystals. Zbl 1411.74020
Mauthe, Steffen; Miehe, Christian
1
2015
Phase field modeling of fracture in rubbery polymers. I. Finite elasticity coupled with brittle failure. Zbl 1323.74012
Miehe, Christian; Schänzel, Lisa-Marie
37
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
21
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
19
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.
13
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.
11
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.
10
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.
57
2013
Mixed variational principles and robust finite element implementations of gradient plasticity at small strains. Zbl 1352.74408
Miehe, C.; Aldakheel, F.; Mauthe, S.
16
2013
Computational homogenization in dissipative electro-mechanics of functional materials. Zbl 1286.74086
Zäh, Dominic; Miehe, Christian
8
2013
A geometrically consistent incremental variational formulation for phase field models in micromagnetics. Zbl 1354.74196
Miehe, Christian; Ethiraj, Gautam
5
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.
2
2012
Mixed variational principles for the evolution problem of gradient-extended dissipative solids. Zbl 1255.74021
Miehe, Christian
1
2012
A multi-field incremental variational framework for gradient-extended standard dissipative solids. Zbl 1270.74022
Miehe, Christian
47
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.
24
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
14
2011
A rate-dependent incremental variational formulation of ferroelectricity. Zbl 1231.74319
Miehe, C.; Rosato, D.
13
2011
On evolving deformation microstructures in non-convex partially damaged solids. Zbl 1270.74021
Gürses, E.; Miehe, C.
5
2011
Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations. Zbl 1202.74014
Miehe, C.; Welschinger, F.; Hofacker, M.
316
2010
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
307
2010
A phase field model of electromechanical fracture. Zbl 1200.74123
Miehe, C.; Welschinger, F.; Hofacker, M.
20
2010
Homogenization and two-scale simulations of granular materials for different microstructural constraints. Zbl 1197.74084
Miehe, C.; Dettmar, J.; Zäh, D.
19
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.
12
2010
A computational framework of three-dimensional configurational-force-driven brittle crack propagation. Zbl 1227.74070
Gürses, Ercan; Miehe, Christian
27
2009
Finite viscoplasticity of amorphous glassy polymers in the logarithmic strain space. Zbl 1168.74324
Miehe, C.; Göktepe, S.; Diez, J. Méndez
15
2009
Elastica-based strain energy functions for soft biological tissue. Zbl 1171.74382
Garikipati, K.; Göktepe, S.; Miehe, C.
3
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.
41
2007
On multiscale FE analyses of heterogeneous structures: from homogenization to multigrid solvers. Zbl 1194.74443
Miehe, C.; Bayreuther, C. G.
34
2007
A computational framework of configurational-force-driven brittle fracture based on incremental energy minimization. Zbl 1198.74008
Miehe, 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 1159.74334
Miehe, C.; Rosato, D.
3
2007
Multiscale modeling of anisotropies in single crystals and polycrystals at finite strains. Zbl 1298.74052
Miehe, Christian; Becker, Martin
1
2006
Analytical and numerical methods for finite-strain elastoplasticity. Zbl 1298.74040
Gürses, Ercan; Mainik, Andreas; Miehe, Christian; Mielke, Alexander
1
2006
Microstructure development in standard dissipative solids based on energy minimization. Zbl 1158.74010
Miehe, Christian
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
38
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
33
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.
78
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.
25
2004
A framework for micro-macro transitions in periodic particle aggregates of granular materials. Zbl 1075.76541
Miehe, Christian; Dettmar, Joachim
16
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
69
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
24
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.
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 1088.74044
Miehe, Christian; Lambrecht, Matthias
11
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.
115
2002
Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. Zbl 1027.74056
Miehe, Christian
101
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.
73
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.
54
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
41
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
39
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
27
2001
A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity. Zbl 1006.74091
Miehe, Christian; Schröder, Jörg
22
2001
Energy and momentum conserving elastodynamics of a nonlinear brick-type mixed finite shell element. Zbl 0977.74063
Miehe, Christian; Schröder, Jörg
9
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
57
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
151
1999
Two non-associated isotropic elastoplastic hardening models for frictional materials. Zbl 0935.74021
Lambrecht, M.; Miehe, C.
1
1999
Texture simulations of polycrystalline materials. Zbl 0942.74545
Miehe, C.; Schröder, J.; Schotte, J.
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
44
1998
A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric. Zbl 0935.74022
Miehe, Christian
42
1998
Comparison of two algorithms for the computation of fourth-order isotropic tensor functions. Zbl 0929.74128
Miehe, C.
33
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
24
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.
3
1997
Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity. Zbl 0892.73012
Miehe, Christian
63
1996
Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals. Zbl 0899.73136
Miehe, Christian
42
1996
Multisurface thermoplasticity for single crystals at large strains in terms of Eulerian vector updates. Zbl 0929.74019
Miehe, C.
26
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.
49
1995
Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation. Zbl 0851.73012
Miehe, C.
43
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
10
1995
Instability phenomena in plasticity: Modelling and computation. Zbl 0860.73017
Stein, Erwin; Steinmann, P.; Miehe, C.
4
1995
...and 12 more Documents
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Cited by 2,270 Authors

78 Miehe, Christian
50 Wriggers, Peter
44 Steinmann, Paul
31 Wick, Thomas
25 Menzel, Andreas M.
22 Mosler, Jörn
22 Sun, WaiChing
21 Hackl, Klaus
21 Reese, Stefanie
21 Schröder, Jörg
20 Rabczuk, Timon
20 Runesson, Kenneth
19 Larsson, Fredrik
18 Aldakheel, Fadi
18 Kaliske, Michael
18 Stein, Erwin
16 de Lorenzis, Laura
16 Stefanelli, Ulisse
15 Geers, Marc G. D.
15 Holzapfel, Gerhard Alfred
15 Mahnken, Rolf
15 Ortiz, Michael
14 Balzani, Daniel
14 Stainier, Laurent
13 de Souza Neto, Eduardo Alberto
13 Wheeler, Mary Fanett
12 Areias, Pedro M. A.
12 de Borst, René
12 Fish, Jacob
12 Gil, Antonio J.
12 Hesch, Christian
12 Linder, Christian
12 Mielke, Alexander
12 Waisman, Haim
12 Yvonnet, Julien
11 Betsch, Peter
11 Dal, Hüsnü
11 Javili, Ali
11 Ortigosa, Rogelio
11 Temizer, Ilker
11 Yang, Xiaofeng
10 Conti, Sergio
10 Coombs, William M.
10 Itskov, Mikhail
10 Keip, Marc-André
9 Ambati, Marreddy
9 Auricchio, Ferdinando
9 Dittmann, Moritz Christopher
9 Ibrahimbegović, Adnan
9 Junker, Philipp
9 Kochmann, Dennis M.
9 Kuhl, Ellen
9 Montáns, Francisco-Javier
9 Perić, Djordje
9 Roubíček, Tomáš
9 Sluys, Lambertus Johannes
9 Svendsen, Bob
9 Weinberg, Kerstin
9 Xiao, Heng
8 Augarde, Charles Edward
8 Doblaré, Manuel
8 Fernández, Jose Ramon
8 Göktepe, Serdar
8 Kouznetsova, Varvara G.
8 Lion, Alexander
8 Liu, Wing Kam
8 Meschke, Günther
8 Rosato, Daniele
8 Tanaka, Masato
8 Wulfinghoff, Stephan
8 Zhuang, Xiaoying
7 Campo, Marco A.
7 Denzer, Ralf
7 Feijóo, Raúl Antonino
7 Franke, Marlon
7 Fritzen, Felix
7 Hartmann, Stefan
7 Hudobivnik, Blaž
7 Hughes, Thomas J. R.
7 Kästner, Markus
7 Klinkel, Sven
7 Lee, Sanghyun
7 Mergheim, Julia
7 Nguyen, Vinh Phu
7 Noii, Nima
7 Oliver, Javier
7 Petryk, Henryk
7 Simo, Juan Carlos
7 Stupkiewicz, Stanisław
7 Verhoosel, Clemens V.
7 Wagner, Werner
7 Wall, Wolfgang A.
7 Wu, Jianying
7 Zhang, Hongwu
6 Anand, Lallit
6 Blanco, Pablo Javier
6 Bui, Tinh Quoc
6 Choo, Jinhyun
6 Diebels, Stefan
6 Ekh, Magnus
...and 2,170 more Authors
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Cited in 101 Serials

607 Computer Methods in Applied Mechanics and Engineering
215 Computational Mechanics
154 International Journal for Numerical Methods in Engineering
99 Journal of the Mechanics and Physics of Solids
69 European Journal of Mechanics. A. Solids
40 Acta Mechanica
33 Continuum Mechanics and Thermodynamics
33 Mathematics and Mechanics of Solids
23 International Journal of Plasticity
23 International Journal of Solids and Structures
22 International Journal of Engineering Science
22 Journal of Computational Physics
21 Engineering Computations
20 Archive of Applied Mechanics
17 Archives of Computational Methods in Engineering
15 Computers & Mathematics with Applications
15 Engineering Analysis with Boundary Elements
14 Journal of Elasticity
14 Communications in Numerical Methods in Engineering
13 Applied Mathematical Modelling
12 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
10 Archive for Rational Mechanics and Analysis
10 GAMM-Mitteilungen
9 Journal of Computational and Applied Mathematics
9 Meccanica
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Mechanics Research Communications
7 Journal of Theoretical Biology
7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 Computational Geosciences
5 SIAM Journal on Scientific Computing
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Discrete and Continuous Dynamical Systems. Series S
5 International Journal for Numerical Methods in Biomedical Engineering
4 Journal of Engineering Mathematics
4 Applied Numerical Mathematics
4 Journal of Nonlinear Science
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 International Journal of Computational Methods
4 Numerical Algebra, Control and Optimization
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Mathematics and Computers in Simulation
3 Mathematical and Computer Modelling
3 Calculus of Variations and Partial Differential Equations
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Lobachevskii Journal of Mathematics
3 International Journal of Fracture
3 Acta Mechanica Sinica
3 PAMM. Proceedings in Applied Mathematics and Mechanics
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Archives of Mechanics
2 International Journal for Numerical and Analytical Methods in Geomechanics
2 Mathematical Methods in the Applied Sciences
2 Applied Mathematics and Computation
2 Journal of Optimization Theory and Applications
2 Physica D
2 Mathematical Problems in Engineering
2 Journal of Applied Mechanics and Technical Physics
2 GEM - International Journal on Geomathematics
2 International Journal of Structural Stability and Dynamics
1 Ingenieur-Archiv
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1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quarterly of Applied Mathematics
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1 Applied Mathematics and Mechanics. (English Edition)
1 Journal of Scientific Computing
1 Numerical Algorithms
1 SIAM Journal on Mathematical Analysis
1 Journal of Dynamics and Differential Equations
1 Russian Mathematics
1 NoDEA. Nonlinear Differential Equations and Applications
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 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 Journal of Computational Acoustics
1 Science in China. Series G
1 Complex Variables and Elliptic Equations
1 Computational & Mathematical Methods in Medicine
1 Communications in Computational Physics
1 International Journal for Computational Methods in Engineering Science and Mechanics
1 Advances in Calculus of Variations
1 Journal of Mathematics in Industry
1 ISRN Applied Mathematics
1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
1 Mathematics and Mechanics of Complex Systems
1 SIAM/ASA Journal on Uncertainty Quantification
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