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Miehe, Christian

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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 · GND
Documents Indexed: 170 Publications since 1988, including 1 Book
Biographic References: 1 Publication

Publications by Year

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 1202.74014
Miehe, C.; Welschinger, F.; Hofacker, M.
227
2010
A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits. Zbl 1231.74022
Miehe, Christian; Hofacker, Martina; Welschinger, Fabian
209
2010
Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Zbl 0764.73088
Simo, J. C.; Miehe, C.
189
1992
Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials. Zbl 0982.74068
Miehe, Christian; Schröder, Jörg; Schotte, Jan
133
1999
Computational micro-to-macro transitions of discretized microstructures undergoing small strains. Zbl 1032.74010
Miehe, C.; Koch, A.
101
2002
Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. Zbl 1027.74056
Miehe, Christian
90
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.
73
2004
Aspects of the formulation and finite element implementation of large strain isotropic elasticity. Zbl 0804.73067
Miehe, C.
72
1994
Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals. Zbl 1151.74403
Miehe, 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 1091.74530
Miehe, Christian
60
2003
Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity. Zbl 0892.73012
Miehe, Christian
57
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
53
2000
Anisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials. Zbl 1083.74518
Miehe, C.; Apel, N.; Lambrecht, M.
50
2002
Discontinuous and continuous damage evolution in Ogden-type large-strain elastic materials. Zbl 0837.73054
Miehe, C.
49
1995
A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains. Zbl 0970.74043
Miehe, 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 1423.74837
Miehe, 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 1352.74022
Hofacker, M.; Miehe, C.
42
2013
Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals. Zbl 0899.73136
Miehe, 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 1423.74838
Miehe, Christian; Schänzel, Lisa-Marie; Ulmer, Heike
40
2015
A robust algorithm for configurational-force-driven brittle crack propagation with R-adaptive mesh alignment. Zbl 1194.74444
Miehe, C.; Gürses, E.
40
2007
A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric. Zbl 0935.74022
Miehe, Christian
40
1998
A multi-field incremental variational framework for gradient-extended standard dissipative solids. Zbl 1270.74022
Miehe, Christian
39
2011
Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation. Zbl 0851.73012
Miehe, 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 1425.74423
Miehe, 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 1099.74517
Miehe, Christian; Schröder, Jörg; Becker, Martin
38
2002
A quadratically convergent procedure for the calculation of stability points in finite element analysis. Zbl 0653.73031
Wriggers, P.; Wagner, W.; Miehe, C.
38
1988
A multi-variant martensitic phase transformation model: Formulation and numerical implementation. Zbl 1007.74061
Govindjee, Sanjay; Miehe, Christian
37
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
34
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
32
2005
Comparison of two algorithms for the computation of fourth-order isotropic tensor functions. Zbl 0929.74128
Miehe, C.
32
1998
On multiscale FE analyses of heterogeneous structures: from homogenization to multigrid solvers. Zbl 1194.74443
Miehe, C.; Bayreuther, C. G.
31
2007
Contact constraints within coupled thermomechanical analysis. – A finite element model. Zbl 0847.73069
Wriggers, P.; Miehe, C.
29
1994
A computational framework of three-dimensional configurational-force-driven brittle crack propagation. Zbl 1227.74070
Gürses, Ercan; Miehe, Christian
27
2009
Computation of isotropic tensor functions. Zbl 0796.65059
Miehe, C.
27
1993
Phase field modeling of fracture in rubbery polymers. I. Finite elasticity coupled with brittle failure. Zbl 1323.74012
Miehe, Christian; Schänzel, Lisa-Marie
26
2014
Multisurface thermoplasticity for single crystals at large strains in terms of Eulerian vector updates. Zbl 0929.74019
Miehe, C.
26
1996
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
25
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.
24
2004
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
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
Comparison of different finite deformation inelastic damage models within multiplicative elastoplasticity for ductile materials. Zbl 0816.73021
Steinmann, P.; Miehe, C.; Stein, Erwin
24
1994
A theory of large-strain isotropic thermoplasticity based on metric transformation tensors. Zbl 0844.73027
Miehe, C.
23
1995
On the representation of Prandtl-Reuss tensors within the framework of multiplicative elastoplasticity. Zbl 0810.73016
Miehe, Christian
23
1994
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.
21
2011
A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity. Zbl 1006.74091
Miehe, 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 1295.74013
Miehe, Christian
19
2014
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.
18
2016
Homogenization and two-scale simulations of granular materials for different microstructural constraints. Zbl 1197.74084
Miehe, C.; Dettmar, J.; Zäh, D.
18
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
On the coupled thermomechanical treatment of necking problems via finite element methods. Zbl 0760.73070
Wriggers, P.; Miehe, C.; Kleiber, M.; Simo, J. C.
17
1992
A phase field model of electromechanical fracture. Zbl 1200.74123
Miehe, C.; Welschinger, F.; Hofacker, M.
16
2010
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.
15
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 framework for micro-macro transitions in periodic particle aggregates of granular materials. Zbl 1075.76541
Miehe, 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 1295.74014
Miehe, Christian; Welschinger, Fabian; Aldakheel, Fadi
14
2014
A modified Gurson-type plasticity model at finite strains: formulation, numerical analysis and phase-field coupling. Zbl 06980140
Aldakheel, Fadi; Wriggers, Peter; Miehe, Christian
13
2018
A micromechanically motivated diffusion-based transient network model and its incorporation into finite rubber viscoelasticity. Zbl 1270.74035
Linder, 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 1075.74659
Miehe, Christian; Apel, Nikolas
13
2004
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.
12
2016
Computational structural and material stability analysis in finite electro-elasto-statics of electro-active materials. Zbl 1352.74115
Miehe, C.; Vallicotti, D.; Zäh, D.
12
2015
A rate-dependent incremental variational formulation of ferroelectricity. Zbl 1231.74319
Miehe, 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 1088.74044
Miehe, 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 1295.74012
Miehe, C.; Mauthe, S.; Hildebrand, F. E.
11
2014
On the homogenization analysis of composite materials based on discretized fluctations on the micro-structure. Zbl 1008.74070
Miehe, C.; Schröder, J.; Bayreuther, C.
11
2002
New finite elements with embedded strong discontinuities for the modeling of failure in electromechanical coupled solids. Zbl 1225.74095
Linder, 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 1066.74056
Miehe, 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 1352.74110
Miehe, C.; Mauthe, S.; Ulmer, H.
9
2014
Energy and momentum conserving elastodynamics of a nonlinear brick-type mixed finite shell element. Zbl 0977.74063
Miehe, Christian; Schröder, Jörg
9
2001
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
9
1995
Multiplicative magneto-elasticity of magnetosensitive polymers incorporating micromechanically-based network kernels. Zbl 1423.74308
Ethiraj, G.; Miehe, C.
8
2016
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.
8
2014
Computational homogenization in dissipative electro-mechanics of functional materials. Zbl 1286.74086
Zäh, Dominic; Miehe, Christian
8
2013
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
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
5
2016
Multiplicative electro-elasticity of electroactive polymers accounting for micromechanically-based network models. Zbl 1423.74710
Zäh, Dominic; Miehe, Christian
5
2015
Computational electro-chemo-mechanics of lithium-ion battery electrodes at finite strains. Zbl 1398.74101
Dal, Hüsnü; Miehe, Christian
5
2015
On evolving deformation microstructures in non-convex partially damaged solids. Zbl 1270.74021
Gürses, E.; Miehe, C.
5
2011
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
Instability phenomena in plasticity: Modelling and computation. Zbl 0860.73017
Stein, Erwin; Steinmann, P.; Miehe, C.
5
1995
A geometrically consistent incremental variational formulation for phase field models in micromagnetics. Zbl 1354.74196
Miehe, Christian; Ethiraj, Gautam
4
2012
On the localization analysis of orthotropic Hill type elastoplastic solids. Zbl 0826.73021
Steinmann, P.; Miehe, C.; Stein, Erwin
4
1994
Dissipative ferroelectricity at finite strains. Variational principles, constitutive assumptions and algorithms. Zbl 1423.74320
Rosato, Daniele; Miehe, Christian
3
2014
Elastica-based strain energy functions for soft biological tissue. Zbl 1171.74382
Garikipati, K.; Göktepe, S.; Miehe, C.
3
2008
A physically nonlinear dual mixed finite element formulation. Zbl 0892.73071
Schröder, 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 1439.74112
Miehe, Christian; Kienle, Daniel; Aldakheel, Fadi; Teichtmeister, Stephan
2
2016
Homogenization in micro-magneto-mechanics. Zbl 1398.74108
Sridhar, 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 1246.74018
Miehe, 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 1159.74334
Miehe, C.; Rosato, D.
2
2007
Computational homogenization of materials with microstructures based on incremental variational formulations. Zbl 1040.74039
Miehe, C.; Lambrecht, M.; Schotte, J.
2
2003
Parameter identification for finite elasticity with inhomogeneous deformations. Zbl 0980.74502
Scheday, G.; Miehe, C.
2
2001
Brick-type axisymmetric mixed finite shell elements for large-strain inelastic stress analysis. Zbl 0942.74659
Schley, S.; Miehe, C.
2
1999
Zur konsistenten Linearisierung eines thermomechanischen Prozesses. (The consistent linearization of thermo-mechanical processes). Zbl 0662.73004
Miehe, C.
2
1988
Variational gradient plasticity: local-global updates, regularization and laminate microstructures in single crystals. Zbl 1411.74020
Mauthe, Steffen; Miehe, Christian
1
2015
Mixed variational principles for the evolution problem of gradient-extended dissipative solids. Zbl 1255.74021
Miehe, Christian
1
2012
Exploitation of configurational forces in extended nonlocal continua with microstructure. Zbl 1393.74134
Frankenreiter, Ilona; Zimmermann, Dominik; Miehe, Christian
1
2008
Analytical and numerical methods for finite-strain elastoplasticity. Zbl 1298.74040
Gürses, Ercan; Mainik, Andreas; Miehe, Christian; Mielke, Alexander
1
2006
Multiscale modeling of anisotropies in single crystals and polycrystals at finite strains. Zbl 1298.74052
Miehe, Christian; Becker, Martin
1
2006
Microstructure development in standard dissipative solids based on energy minimization. Zbl 1158.74010
Miehe, Christian
1
2006
A modified Gurson-type plasticity model at finite strains: formulation, numerical analysis and phase-field coupling. Zbl 06980140
Aldakheel, 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 1425.74423
Miehe, Christian; Mauthe, Steffen
38
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.
18
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.
12
2016
Multiplicative magneto-elasticity of magnetosensitive polymers incorporating micromechanically-based network kernels. Zbl 1423.74308
Ethiraj, 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 1425.74401
Miehe, 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 1439.74112
Miehe, Christian; Kienle, Daniel; Aldakheel, Fadi; Teichtmeister, Stephan
2
2016
Homogenization in micro-magneto-mechanics. Zbl 1398.74108
Sridhar, 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 1423.74837
Miehe, 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 1423.74838
Miehe, Christian; Schänzel, Lisa-Marie; Ulmer, Heike
40
2015
Computational structural and material stability analysis in finite electro-elasto-statics of electro-active materials. Zbl 1352.74115
Miehe, C.; Vallicotti, D.; Zäh, D.
12
2015
Multiplicative electro-elasticity of electroactive polymers accounting for micromechanically-based network models. Zbl 1423.74710
Zäh, Dominic; Miehe, Christian
5
2015
Computational electro-chemo-mechanics of lithium-ion battery electrodes at finite strains. Zbl 1398.74101
Dal, Hüsnü; 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
26
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
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 1295.74014
Miehe, 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 1295.74012
Miehe, 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 1352.74110
Miehe, C.; Mauthe, S.; Ulmer, H.
9
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.
8
2014
Dissipative ferroelectricity at finite strains. Variational principles, constitutive assumptions and algorithms. Zbl 1423.74320
Rosato, Daniele; Miehe, Christian
3
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.
42
2013
Mixed variational principles and robust finite element implementations of gradient plasticity at small strains. Zbl 1352.74408
Miehe, C.; Aldakheel, F.; Mauthe, S.
15
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
4
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
39
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.
21
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
13
2011
A rate-dependent incremental variational formulation of ferroelectricity. Zbl 1231.74319
Miehe, C.; Rosato, D.
12
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.
227
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
209
2010
Homogenization and two-scale simulations of granular materials for different microstructural constraints. Zbl 1197.74084
Miehe, C.; Dettmar, J.; Zäh, D.
18
2010
A phase field model of electromechanical fracture. Zbl 1200.74123
Miehe, C.; Welschinger, F.; Hofacker, M.
16
2010
New finite elements with embedded strong discontinuities for the modeling of failure in electromechanical coupled solids. Zbl 1225.74095
Linder, C.; Rosato, D.; Miehe, C.
10
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.
40
2007
On multiscale FE analyses of heterogeneous structures: from homogenization to multigrid solvers. Zbl 1194.74443
Miehe, C.; Bayreuther, C. G.
31
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.
2
2007
Analytical and numerical methods for finite-strain elastoplasticity. Zbl 1298.74040
Gürses, Ercan; Mainik, Andreas; Miehe, Christian; Mielke, Alexander
1
2006
Multiscale modeling of anisotropies in single crystals and polycrystals at finite strains. Zbl 1298.74052
Miehe, Christian; Becker, Martin
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
34
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
32
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.
73
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.
24
2004
A framework for micro-macro transitions in periodic particle aggregates of granular materials. Zbl 1075.76541
Miehe, 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 1075.74659
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
10
2004
Material forces in standard dissipative solids obtained from an incremental variational formulation. Zbl 1354.74220
Zimmermann, Dominik; Miehe, Christian
1
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
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
60
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
12
2003
Computational homogenization of materials with microstructures based on incremental variational formulations. Zbl 1040.74039
Miehe, C.; Lambrecht, M.; Schotte, J.
2
2003
A new micromechanically based approach for the elastic response of rubber-like materials at large strains. Zbl 1354.74192
Göktepe, Serdar; Miehe, Christian
1
2003
Coupling of homogenization techniques with multigrid solvers for unstructured meshes. Zbl 1095.74024
Bayreuther, Claus G.; Miehe, Christian
1
2003
Computational micro-to-macro transitions of discretized microstructures undergoing small strains. Zbl 1032.74010
Miehe, C.; Koch, A.
101
2002
Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. Zbl 1027.74056
Miehe, Christian
90
2002
Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals. Zbl 1151.74403
Miehe, 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 1083.74518
Miehe, 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 1099.74517
Miehe, Christian; Schröder, Jörg; Becker, Martin
38
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.
11
2002
A multi-variant martensitic phase transformation model: Formulation and numerical implementation. Zbl 1007.74061
Govindjee, 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 1049.74011
Miehe, Christian; Lambrecht, Matthias
25
2001
A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity. Zbl 1006.74091
Miehe, Christian; Schröder, Jörg
21
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. 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
53
2000
Aspects of homogenization techniques and multigrid solving. Zbl 0997.74047
Bayreuther, C. G.; Miehe, C.; Schröder, J.
1
2000
Aspects of adaptive remeshing techniques in finite elasticity. Zbl 0951.74598
Koch, A.; Miehe, C.
1
2000
Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials. Zbl 0982.74068
Miehe, Christian; Schröder, Jörg; Schotte, Jan
133
1999
Brick-type axisymmetric mixed finite shell elements for large-strain inelastic stress analysis. Zbl 0942.74659
Schley, S.; Miehe, C.
2
1999
Texture simulations of polycrystalline materials. Zbl 0942.74545
Miehe, C.; Schröder, J.; Schotte, J.
1
1999
Two non-associated isotropic elastoplastic hardening models for frictional materials. Zbl 0935.74021
Lambrecht, M.; Miehe, C.
1
1999
A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains. Zbl 0970.74043
Miehe, Christian
46
1998
A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric. Zbl 0935.74022
Miehe, Christian
40
1998
Comparison of two algorithms for the computation of fourth-order isotropic tensor functions. Zbl 0929.74128
Miehe, 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 0948.74009
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
57
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.
39
1995
A theory of large-strain isotropic thermoplasticity based on metric transformation tensors. Zbl 0844.73027
Miehe, C.
23
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
9
1995
Instability phenomena in plasticity: Modelling and computation. Zbl 0860.73017
Stein, Erwin; Steinmann, P.; Miehe, C.
5
1995
Aspects of the formulation and finite element implementation of large strain isotropic elasticity. Zbl 0804.73067
Miehe, C.
72
1994
...and 12 more Documents
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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
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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. Mathematical, Physical and Engineering Sciences
5 Computational Geosciences
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 International Journal for Numerical Methods in Biomedical Engineering
4 Journal of Engineering Mathematics
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Discrete and Continuous Dynamical Systems. Series S
4 Numerical Algebra, Control and Optimization
3 Mathematics and Computers in Simulation
3 Applied Numerical Mathematics
3 Mathematical and Computer Modelling
3 Journal of Nonlinear Science
3 SIAM Journal on 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 International Journal of Computational Methods
3 International Journal of Fracture
3 Acta Mechanica Sinica
3 PAMM. 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
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1 Bulletin of Mathematical Biology
1 Applied Mathematics and Computation
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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 Journal of Scientific Computing
1 SIAM Journal on Mathematical Analysis
1 Journal of Dynamics and Differential Equations
1 Russian 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 International Journal of Nonlinear Sciences and Numerical Simulation
1 Journal of Applied Mathematics
1 Sādhanā
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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 International Journal for Computational Methods in Engineering Science and Mechanics
1 Advances in Calculus of Variations
1 Mathematical Control and Related Fields
1 ISRN Applied Mathematics
1 Mathematics and Mechanics of Complex Systems
1 SIAM/ASA Journal on Uncertainty Quantification
1 AMM. Applied Mathematics and Mechanics. (English Edition)

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