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Miehe, Christian (b. 1956 d. 2016)

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: 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

Publications by Year

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 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
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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. A. Solids
51 Acta Mechanica
39 Continuum Mechanics and Thermodynamics
39 Mathematics and Mechanics of Solids
31 International Journal of Engineering Science
31 Journal of Computational Physics
26 GAMM-Mitteilungen
23 International Journal of Plasticity
23 International Journal of Solids and Structures
22 Computers & Mathematics with Applications
21 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
21 Engineering Computations
20 Archive of Applied Mechanics
19 Applied Mathematical Modelling
18 Engineering Analysis with Boundary Elements
17 Archives of Computational Methods in Engineering
16 Journal of Elasticity
14 Communications in Numerical Methods in Engineering
12 Meccanica
10 Archive for Rational Mechanics and Analysis
9 Journal of Computational and Applied Mathematics
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Computational Geosciences
7 Mechanics Research Communications
7 International Journal of Computational Methods
7 Discrete and Continuous Dynamical Systems. Series S
7 Journal of Theoretical Biology
7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Journal of Nonlinear Science
5 SIAM Journal on Scientific Computing
5 International Journal for Numerical Methods in Biomedical Engineering
4 Journal of Engineering Mathematics
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Applied Numerical Mathematics
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Acta Mechanica Sinica
4 Numerical Algebra, Control and Optimization
3 Mathematics and Computers in Simulation
3 Mathematical and Computer Modelling
3 Journal of Scientific Computing
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 PAMM. Proceedings in Applied Mathematics and Mechanics
3 Mathematics and Mechanics of Complex Systems
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Archives of Mechanics
2 Computer Physics Communications
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 NoDEA. Nonlinear Differential Equations and Applications
2 Mathematical Problems in Engineering
2 Journal of Applied Mechanics and Technical Physics
2 Communications in Computational Physics
2 GEM - International Journal on Geomathematics
2 International Journal of Structural Stability and Dynamics
2 Mathematics in Engineering
1 Ingenieur-Archiv
1 Journal of Mathematical Biology
1 Bulletin of Mathematical Biology
1 Calcolo
1 Journal of Differential Equations
1 Journal of Philosophical Logic
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quarterly of Applied Mathematics
1 SIAM Journal on Control and Optimization
1 Applied Mathematics and Mechanics. (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

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