On the localization analysis of orthotropic Hill type elastoplastic solids
type: Item
instance of: scholarly article
title: On the localization analysis of orthotropic Hill type elastoplastic solids
zbMATH Open document ID: 0826.73021
DOI: 10.1016/0022-5096(94)90021-3
author: Paul Steinmann
author: C. Miehe
author: E. Stein
published in: Journal of the Mechanics and Physics of Solids
publication date: 1995-05-11T00:00:00Z
review text: The objective is the localization analysis of orthotropic Hill type elasto-plasticity. Thereby, the underlying motivation is the necessity to model the anisotropic behaviour of metal specimens which is due to the manufacturing procedure in terms of an orthotropic yield condition. To this end, the classical von Mises condition is replaced by a yield criterion which invokes a second order anisotropy tensor acting on the deviatoric stresses. A reparametrization of this model reveals its relation to the classical criterion originally proposed by Hill. The plastic evolution laws follow from the hypothesis of general associativity. Special emphasis is directed towards the numerical implementation of the constitutive model within the framework of finite element analysis of inelastic boundary value problems. The influence of the anisotropy effects on the localization analysis is contrasted to the outcome of an analysis with the standard isotropic von Mises model. To this end, the intriguing influence of certain types of orthotropy is pointed analytically and numerically. Finally, the numerical implications of the orthotropic elastoplastic approach are demonstrated for examples of localization within a plane stress uniaxial tension problem and a plane strain compression problem.
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 754640
zbMATH Keywords: yield criterion
zbMATH Keywords: second order anisotropy tensor
zbMATH Keywords: reparametrization
zbMATH Keywords: finite element analysis
zbMATH Keywords: plane stress uniaxial tension problem
zbMATH Keywords: plane strain compression problem
MaRDI profile type: Publication
full work available at URL: 0022-5096(94)90021-3
OpenAlex ID: W1988892581
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description: scientific article; zbMATH DE number 754640