Kinematics of elasto-plasticity: validity and limits of applicability of \(\mathbf{F}=\mathbf{F}^{\mathrm{e}}\mathbf{F}^{\mathrm{p}}\) for general three-dimensional deformations
type: Item
instance of: scholarly article
title: Kinematics of elasto-plasticity: validity and limits of applicability of \(\mathbf{F}=\mathbf{F}^{\mathrm{e}}\mathbf{F}^{\mathrm{p}}\) for general three-dimensional deformations
zbMATH Open document ID: 1479.74016
author: Celia Reina
author: Landry Fokoua Djodom
author: M. Ortiz
author: Sergio Conti
published in: Journal of the Mechanics and Physics of Solids
publication date: 2022-02-15T00:00:00Z
Mathematics Subject Classification ID: 74C05
Mathematics Subject Classification ID: 74A05
zbMATH DE Number: 7473800
zbMATH Keywords: crystal plasticity
zbMATH Keywords: finite deformations
zbMATH Keywords: multiplicative decomposition
zbMATH Keywords: homogenization
MaRDI profile type: Publication
full work available at URL: j.jmps.2018.07.006
OpenAlex ID: W2886769199
Wikidata QID: Q59965669
cites work: Lattice incompatibility and a gradient theory of crystal plasticity
cites work: From dislocation motion to an additive velocity gradient decomposition, and some simple models of dislocation dynamics
cites work: Q5318420
cites work: Q4954179
cites work: Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
cites work: \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
cites work: The div-curl lemma ``trente ans après'': an extension and an application to the \(G\)-convergence of unbounded monotone operators
cites work: Non–convex potentials and microstructures in finite–strain plasticity
cites work: A Remark on the Use of the Decomposition F = FeFp in Plasticity
cites work: A Correct Definition of Elastic and Plastic Deformation and Its Computational Significance
cites work: A prescription for the identification of finite plastic strain
cites work: On the characterization of geometrically necessary dislocations in finite plasticity
cites work: A multiscale multiplicative decomposition for elastoplasticity of polycrystals.
cites work: The div-curl lemma for sequences whose divergence and curl are compact in \(W^{-1,1}\)
cites work: The line-tension approximation as the dilute limit of linear-elastic dislocations
cites work: Issues on the constitutive formulation at large elastoplastic deformations. I: Kinematics
cites work: Quasistatic evolution problems for linearly elastic-perfectly plastic materials
cites work: Invertible structured deformations and the geometry of multiple slip in single crystals
cites work: Q3995411
cites work: Q5189317
cites work: Gradient theory for plasticity via homogenization of discrete dislocations
cites work: Q3151387
cites work: Some remarks on elastic-plastic deformation at finite strain
cites work: Some issues associated with the intermediate space in single-crystal plasticity
cites work: On constitutive macro-variables for heterogeneous solids at finite strain
cites work: Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
cites work: Duality in constitutive formulation of finite-strain elastoplasticity based on \({\mathbf F}={\mathbf F}_e{\mathbf F}_p\) and \({\mathbf F}={\mathbf F}^p{\mathbf F}^e\) decompositions
cites work: Equations constitutives et directeurs dans les milieux plastiques et viscoplastiques
cites work: Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals.
cites work: Existence of Minimizers in Incremental Elasto-Plasticity with Finite Strains
cites work: Lower semicontinuity and existence of minimizers in incremental finite‐strain elastoplasticity
cites work: Q4183803
cites work: A critical review of the state of finite plasticity
cites work: Decomposition of strain measures and their rates in finite deformation elastoplasticity
cites work: Q4834168
cites work: Nonconvex energy minimization and dislocation structures in ductile single crystals
cites work: The variational formulation of viscoplastic constitutive updates
cites work: Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of \(\mathbf F=\mathbf F^e\mathbf F^p\)
cites work: Incompressible inelasticity as an essential ingredient for the validity of the kinematic decomposition \(\mathbf{F} = \mathbf{F}^{\mathrm{e}} \mathbf{F}^{\mathrm{i}}\)
cites work: Derivation of \(\mathbf{F} = \mathbf{F}^{\operatorname{e}} \mathbf{F}^{\operatorname{p}}\) as the continuum limit of crystalline slip
cites work: Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
cites work: Line-Tension Model for Plasticity as the $\Gamma$-Limit of a Nonlinear Dislocation Energy
cites work: Q3789147
cites work: Q3878033
cites work: The general theory of homogenization. A personalized introduction
cites work: An approach to elastoplasticity at large deformations
cites work: Second-order effects of dislocations in anisotropic crystals
cites work: Elastoplasticity beyond small deformations
cites work: On the mechanics of large inelastic deformations: Kinematics and constitutive modeling
DOI: 10.1016/J.JMPS.2018.07.006
description: scientific article; zbMATH DE number 7473800