Forming limit predictions with the perturbation method using stress potential functions of polycrystal viscoplasticity
type: Item
instance of: scholarly article
title: Forming limit predictions with the perturbation method using stress potential functions of polycrystal viscoplasticity
zbMATH Open document ID: 0876.73029
DOI: 10.1016/0020-7403(95)00109-3
published in: International Journal of Mechanical Sciences
publication date: 1997-11-25T00:00:00Z
review text: Plastic potentials of polycrystalline materials are calculated for plane stress plates using viscoplastic crystallographic slips and the Taylor approach. The derivation of these potentials and their development during large plastic deformation of textured aluminum sheets are discussed. These potentials are then used to predict the forming limits of sheet metals. The approach employed was that of the perturbation technique developed by \textit{D. Dudzinski} and \textit{A. Molinari} [Int. J. Solids Struct. 27, No. 5, 601-628 (1991; Zbl 0734.73032)]. The perturbation method is analytic if Hill-type yield potentials are used. Therefore, to facilitate the use of the polycrystal plastic potentials in the perturbation approach, the polycrystal stress potentials are approximated locally at the loading point by Hill ellipsoids. In this way even the development of anisotropy during stretching could be taken into account. The effect of initial texture as well as the changes in the anisotropy during deformation are discussed. It has been found that the development of anisotropy influences strongly the predicted limit strains in the vicinity of equibiaxial stretching.
Mathematics Subject Classification ID: 74C10
zbMATH DE Number: 955115
zbMATH Keywords: viscoplastic crystallographic slips
zbMATH Keywords: Taylor approach
zbMATH Keywords: large plastic deformation
zbMATH Keywords: textured aluminum sheets
zbMATH Keywords: Hill-type yield potentials
zbMATH Keywords: Hill ellipsoids
zbMATH Keywords: anisotropy
zbMATH Keywords: equibiaxial stretching
author: László S. Tóth
author: Daniel Dudzinski
author: Alain Molinari
MaRDI profile type: Publication
full work available at URL: 0020-7403(95)00109-3
OpenAlex ID: W2066865186
Wikidata QID: Q127152134
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description: scientific article; zbMATH DE number 955115