An algorithm for gradient-regularized plasticity coupled to damage based on a dual mixed FE-formulation
type: Item
instance of: scholarly article
title: An algorithm for gradient-regularized plasticity coupled to damage based on a dual mixed FE-formulation
zbMATH Open document ID: 0948.74054
DOI: 10.1016/S0045-7825(97)00309-5
author: Thomas Svedberg
author: Kenneth Runesson
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1999-12-02T00:00:00Z
review text: The authors describe a new numerical algorithm for the gradient-enhanced formulation. Using the backward Euler rule leads to a gradient-enhanced formulation of the classical closest-point-projection-method. The plastic multiplier is solved via a dual mixed method, which is a convenient feature in the present context. This leads to an unambiguous representation of the constitutive relations in the equilibrium equation. Moreover, the classical local algebraic Kuhn-Tucker conditions are obtained in a straightforward fashion in the limit case of local theory. The developed algorithm is implemented in an educational finite element package. Numerical results for the extension of a plate in plane stress demonstrate the convergence characteristics with mesh refinement, as well as the salient features of the adopted damage-based constitutive model.
Mathematics Subject Classification ID: 74R20
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 1373254
zbMATH Keywords: gradient-enhanced formulation
zbMATH Keywords: backward Euler rule
zbMATH Keywords: closest-point-projection-method
zbMATH Keywords: dual mixed method
zbMATH Keywords: local algebraic Kuhn-Tucker conditions
zbMATH Keywords: finite element package
zbMATH Keywords: plate in plane stress
zbMATH Keywords: convergence
zbMATH Keywords: damage-based constitutive model
describes a project that uses: CALFEM
MaRDI profile type: Publication
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full work available at URL: s0045-7825(97)00309-5
OpenAlex ID: W2151589642
description: scientific article; zbMATH DE number 1373254