On the correlation of elastic and plastic anisotropy in sheet metals
type: Item
instance of: scholarly article
title: On the correlation of elastic and plastic anisotropy in sheet metals
zbMATH Open document ID: 0844.73005
DOI: 10.1007/BF00043414
author: Chi-Sing Man
published in: Journal of Elasticity
publication date: 1996-09-02T00:00:00Z
review text: This paper may be considered as a successful attempt at giving an adequate mathematical description of the correlation of elastic and plastic anisotropies in sheet metals. According to the author's account, ``the purpose of the present note is, however, phenomenological constitutive modelling''. In short, the paper contains a mathematical generation of the Hill's quadratic function governing the orthotropic plasticity of homogeneous sheet metals, the description of the elastic and plastic parameters of sheet metals by considering an idealized sheet whose behaviour in plastic deformation is governed by a yield function of the Hill's form, the definition of the concept of linear correlation of elastic and plastic anisotropies, and a complete characterization of the subclass of Hill's quadratic yield functions manifesting such correlations of elastic and plastic anisotropies in sheet metals.
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 807331
zbMATH Keywords: orthotropic plasticity
zbMATH Keywords: idealized sheet
zbMATH Keywords: linear correlation
zbMATH Keywords: Hill's quadratic yield functions
reviewed by: Gheorghe Gr. Ciobanu
MaRDI profile type: Publication
cites work: A Simple Derivation of Representations for Non-Polynomial Constitutive Equations in Some Cases of Anisotropy
cites work: Applications of tensor functions in solid mechanics
cites work: A theory of the yielding and plastic flow of anisotropic metals
cites work: Q5801127
full work available at URL: https://doi.org/10.1007/bf00043414
OpenAlex ID: W2092808873
description: scientific article; zbMATH DE number 807331