A general theory of finite inelastic deformation of metals based on the concept of unified constitutive models
type: Item
instance of: scholarly article
title: A general theory of finite inelastic deformation of metals based on the concept of unified constitutive models
zbMATH Open document ID: 0865.73015
DOI: 10.1007/BF01215426
author: Hans-Peter Hackenberg
author: F. G. Kollmann
published in: Acta Mechanica
publication date: 1997-07-06T00:00:00Z
review text: A survey of kinematics of finitely deformed bodies using tensor analysis on manifolds is presented. The theory is based on the constitutive assumption of the existence of a uniquely defined, isoclinic intermediate configuration, in the sense of Mandel, which leads to a unique multiplicative decomposition of the deformation gradient into plastic and elastic parts, respectively. A constitutive theory is given for structurally isotropic materials, and the implication of the assumption that the elastic strains are small is investigated. The theory is applied to a body under simple shear with different formulations of the elastic constitutive model.
Mathematics Subject Classification ID: 74C15
Mathematics Subject Classification ID: 74C20
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 885799
zbMATH Keywords: multiplicative decomposition of deformation gradient
zbMATH Keywords: tensor analysis on manifolds
zbMATH Keywords: isoclinic intermediate configuration
zbMATH Keywords: body under simple shear
zbMATH Keywords: elastic constitutive model
reviewed by: Galina Camenschi
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01215426
OpenAlex ID: W2116471033
description: scientific article; zbMATH DE number 885799