On the numerical treatment of finite deformations in elastoviscoplasticity
type: Item
instance of: scholarly article
title: On the numerical treatment of finite deformations in elastoviscoplasticity
zbMATH Open document ID: 0892.73065
DOI: 10.1016/S0045-7825(96)01163-2
author: Georg Lührs
author: S. Hartmann
author: P. Haupt
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1998-08-03T00:00:00Z
review text: This paper deals with the generalization of a geometric linear viscoplastic model to finite strains and its numerical application. The formulation includes nonlinear isotropic and kinematic hardening as well as a nonlinear rate dependence. The constitutive equations are integrated numerically in the context of a finite element formulation. The stress algorithm corresponding to viscoplasticity is reduced to the asymptotic limit in a most simple way, namely by setting the viscosity parameter equal to zero. Furthermore, it is shown that the numerical integration of the constitutive model involves the solution of only one nonlinear equation for one scalar unknown. This even applies to a sum of Armstrong-Frederick terms. The algorithm incorporates the inelastic incompressibility on the level of the Gauß points. Numerical computations of examples taken from metal forming technology show the physical significance of the model and the reliability of the numerical algorithm. These calculations have been carried out by means of the finite element program PSU.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74C15
Mathematics Subject Classification ID: 74C20
Mathematics Subject Classification ID: 74C10
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 1079159
zbMATH Keywords: stress algorithm
zbMATH Keywords: Armstrong-Frederick terms
zbMATH Keywords: inelastic incompressibility
zbMATH Keywords: Gauß points
zbMATH Keywords: meta forming technology
zbMATH Keywords: finite element program PSU
MaRDI profile type: Publication
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Wikidata QID: Q127206545
full work available at URL: s0045-7825(96)01163-2
OpenAlex ID: W2054337973
description: scientific article; zbMATH DE number 1079159