Nonconvex energy minimization and dislocation structures in ductile single crystals
type: Item
instance of: scholarly article
title: Nonconvex energy minimization and dislocation structures in ductile single crystals
zbMATH Open document ID: 0964.74012
DOI: 10.1016/S0022-5096(97)00096-3
author: M. Ortiz
author: E. A. Repetto
published in: Journal of the Mechanics and Physics of Solids
publication date: 2001-07-16T00:00:00Z
Mathematics Subject Classification ID: 74E15
Mathematics Subject Classification ID: 74G65
Mathematics Subject Classification ID: 74C15
Mathematics Subject Classification ID: 82D25
zbMATH DE Number: 1419606
zbMATH Keywords: energy method
zbMATH Keywords: dislocation structures
zbMATH Keywords: deformation fields
zbMATH Keywords: plastic deformation gradient field
zbMATH Keywords: minimizers
zbMATH Keywords: pseudoelastic energy function
zbMATH Keywords: characteristic length scale
zbMATH Keywords: scaling laws
MaRDI profile type: Publication
cites work: Strain localization in ductile single crystals
cites work: Fine phase mixtures as minimizers of energy
cites work: Latent hardening in single crystals - I. Theory and experiments
cites work: Latent hardening in single crystals. II. Analytical characterization and predictions
cites work: Self-accommodation in martensite
cites work: Work Bounding Functions for Plastic Materials
cites work: Equilibrium configurations of crystals
cites work: Semi-groups of nonlinear contractions and dissipative sets
cites work: On accretive sets in Banach spaces
cites work: Direct methods in the calculus of variations
cites work: Some phase transitions in crystals
cites work: Variational methods for elastic crystals
cites work: The lower quasiconvex envelope of the stored energy function for an elastic crystal
cites work: Q3525855
cites work: The morphology and folding patterns of buckling-driven thin-film blisters
cites work: An introduction to continuum mechanics
cites work: On the mechanics of crystalline solids
cites work: Bifurcation phenomena in the plane tension test
cites work: Constitutive analysis of elastic-plastic crystals at arbitrary strain
cites work: Dislocation Dynamics at Low Temperatures
cites work: The relaxation of a double-well energy
cites work: Optimal design and relaxation of variational problems, I
cites work: Elastic-Plastic Deformation at Finite Strains
cites work: On the thermodynamic foundations of non-linear solid mechanics
cites work: On the structure of the rate equations of materials with internal variables
cites work: Q3998950
cites work: Q5566467
cites work: Q4053201
cites work: The gradient theory of phase transitions and the minimal interface criterion
cites work: Q3845569
cites work: Q5511571
cites work: Proximité et dualité dans un espace hilbertien
cites work: Q5581077
cites work: Q5657753
cites work: Q4105330
cites work: Q3798341
cites work: Laminates and microstructure
cites work: Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
cites work: Convex Analysis
cites work: Phase changes induced by deformation in isothermal elastic crystals
cites work: A Bounding Principle in the Theory of Work-Hardening Plasticity
cites work: The effect of a singular perturbation on nonconvex variational problems
cites work: Finite-scale microstructures and metastability in one-dimensional elasticity
cites work: Q5332803
Wikidata QID: Q127012626
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description: scientific article; zbMATH DE number 1419606