The variational formulation of viscoplastic constitutive updates
type: Item
instance of: scholarly article
title: The variational formulation of viscoplastic constitutive updates
zbMATH Open document ID: 0938.74016
DOI: 10.1016/S0045-7825(98)00219-9
author: M. Ortiz
author: L. Stainier
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-06-21T00:00:00Z
Mathematics Subject Classification ID: 74C10
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 1399404
zbMATH Keywords: non-Newtonian viscosity
zbMATH Keywords: hardening rules
zbMATH Keywords: pseudo-elastic strain-energy density
zbMATH Keywords: incremental deformation mapping
zbMATH Keywords: minimum principle
zbMATH Keywords: von Mises solid
zbMATH Keywords: ductile single crystals
MaRDI profile type: Publication
cites work: A new unconditionally stable fractional step method for non‐linear coupled thermomechanical problems
cites work: A priori stability estimates and unconditionally stable product formula algorithms for nonlinear coupled thermoplasticity
cites work: Strain localization in ductile single crystals
cites work: Q4155912
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: H‐Adaptive finite element methods for dynamic problems, with emphasis on localization
cites work: Q4209222
cites work: Computational modelling of impact damage in brittle materials
cites work: Adaptive Lagrangian modelling of ballistic penetration of metallic targets
cites work: Work Bounding Functions for Plastic Materials
cites work: Equilibrium configurations of crystals
cites work: Q3877185
cites work: A unified approach for variationally consistent finite elements in elastoplasticity
cites work: A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
cites work: An internal variable theory of elastoplasticity based on the maximum plastic work inequality
cites work: Numerical approximations of problems in plasticity: error analysis and solution algorithms
cites work: Qualitative and Numerical Analysis of Quasi-Static Problems in Elastoplasticity
cites work: On the mechanics of crystalline solids
cites work: Constitutive analysis of elastic-plastic crystals at arbitrary strain
cites work: Q3339435
cites work: Elastic-Plastic Deformation at Finite Strains
cites work: Error indicators and adaptive remeshing in large deformation finite element analysis
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: Q4772777
cites work: Q3335096
cites work: Modelling and simulation of high‐speed machining
cites work: EXPONENTIAL MAP ALGORITHM FOR STRESS UPDATES IN ANISOTROPIC MULTIPLICATIVE ELASTOPLASTICITY FOR SINGLE CRYSTALS
cites work: Q5657753
cites work: Q4105330
cites work: Material rate dependence and mesh-sensitivity in localization problems
cites work: Symmetry-preserving return mapping algorithms and incrementally extremal paths: A unification of concepts
cites work: Operator split methods for the numerical solution of the elastoplastic dynamic problem
cites work: Accuracy and stability of integration algorithms for elastoplastic constitutive relations
cites work: Nonconvex energy minimization and dislocation structures in ductile single crystals
cites work: An analysis of a new class of integration algorithms for elastoplastic constitutive relations
cites work: Numerical integration of rate constitutive equations in finite deformation analysis
cites work: Operator split methods in the numerical solution of the finite deformation elastoplastic dynamic problem
cites work: Error estimation and adaptive meshing in strongly nonlinear dynamic problems
cites work: Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
cites work: Non-smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms
cites work: A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
cites work: Consistent tangent operators for rate-independent elastoplasticity
cites work: A Bounding Principle in the Theory of Work-Hardening Plasticity
cites work: Q4886148
cites work: Mathematical programming and uniqueness in nonholonomic plasticity
cites work: Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids
cites work: Implicit Time Discretization and Global Existence for a Quasi-Linear Evolution Equation with Nonconvex Energy
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