Explicit consistent tangent moduli with a return mapping algorithm for pressure-dependent elastoplasticity models
type: Item
instance of: scholarly article
title: Explicit consistent tangent moduli with a return mapping algorithm for pressure-dependent elastoplasticity models
zbMATH Open document ID: 0851.73007
DOI: 10.1016/0045-7825(94)00707-T
author: Yanyan Li
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1996-11-11T00:00:00Z
review text: In order to preserve the quadratic rate of asymptotic convergence, for the widely-used iterative schemes based on Newton's method, it is crucial to ensure consistency between the tangent moduli and the integration algorithm. By exact linearization of the algorithm and decomposition of the stresses into hydrostatic and deviatoric parts, a method is presented whereby an explicit expression for the tangent moduli consistent with a closest point return mapping algorithm may be developed for generalized pressure-dependent elastolasticity models. For classical \(J_2\) elastoplasticity associated with an isotropic hardening rule problem, the present consistent tangent moduli coincide with consistent tangent moduli given by others. Application is made to fixed Gurson-based model as well as to Gurson-based model.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 881063
zbMATH Keywords: decomposition of stresses
zbMATH Keywords: linearization
zbMATH Keywords: isotropic hardening rule problem
zbMATH Keywords: Gurson-based model
describes a project that uses: ABAQUS
MaRDI profile type: Publication
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full work available at URL: 0045-7825(94)00707-t
OpenAlex ID: W2034647834
description: scientific article; zbMATH DE number 881063