Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals.
type: Item
instance of: scholarly article
title: Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals.
zbMATH Open document ID: 1151.74403
DOI: 10.1016/S0022-5096(02)00016-9
author: C. Miehe
author: J. Schotte
author: Matthias Lambrecht
published in: Journal of the Mechanics and Physics of Solids
publication date: 2003-01-08T00:00:00Z
Mathematics Subject Classification ID: 74Q05
Mathematics Subject Classification ID: 74E15
Mathematics Subject Classification ID: 74E25
Mathematics Subject Classification ID: 74C20
zbMATH DE Number: 1850701
MaRDI profile type: Publication
cites work: A computational procedure for rate-independent crystal plasticity.
cites work: Crystal Plasticity
cites work: Convexity conditions and existence theorems in nonlinear elasticity
cites work: Q4209222
cites work: Q4039741
cites work: A unified approach for variationally consistent finite elements in elastoplasticity
cites work: Direct methods in the calculus of variations
cites work: Q5668046
cites work: Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
cites work: Q4066699
cites work: Finite Plastic Deformation of Crystalline Solids
cites work: On constitutive macro-variables for heterogeneous solids at finite strain
cites work: Aspects of Invariance in Solid Mechanics
cites work: Q3278826
cites work: Q3723768
cites work: On the structure of the rate equations of materials with internal variables
cites work: An approach to nonlinear programming
cites work: Q4772777
cites work: Q3335096
cites work: The Thermomechanics of Plasticity and Fracture
cites work: Aspects of the formulation and finite element implementation of large strain isotropic elasticity
cites work: On the representation of Prandtl-Reuss tensors within the framework of multiplicative elastoplasticity
cites work: Multisurface thermoplasticity for single crystals at large strains in terms of Eulerian vector updates
cites work: EXPONENTIAL MAP ALGORITHM FOR STRESS UPDATES IN ANISOTROPIC MULTIPLICATIVE ELASTOPLASTICITY FOR SINGLE CRYSTALS
cites work: A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric
cites work: A formulation of finite elastoplasticity based on dual co- and contra-variant eigenvector triads normalized with respect to a plastic metric
cites work: Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation
cites work: Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials
cites work: Q3482915
cites work: Q4105330
cites work: Homogenization of nonconvex integral functionals and cellular elastic materials
cites work: Q4834168
cites work: Q4705103
cites work: Nonconvex energy minimization and dislocation structures in ductile single crystals
cites work: The variational formulation of viscoplastic constitutive updates
cites work: On a class of constitutive equations in viscoplasticity: Formulation and computational issues
cites work: The effective mechanical properties of nonlinear isotropic composites
cites work: Q4379920
cites work: Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
cites work: Q5599348
cites work: Q5691468
cites work: Variational Formulation, Discrete Conservation Laws, and Path-Domain Independent Integrals for Elasto-Viscoplasticity
cites work: Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
cites work: Q3789147
cites work: Q4023641
cites work: Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids
cites work: Variational and Related Methods for the Overall Properties of Composites
cites work: Q5725315
cites work: The Derivation of Constitutive Relations from the Free Energy and the Dissipation Function
description: scientific article; zbMATH DE number 1850701