A class of compressible elastic materials capable of sustaining finite anti-plane shear
type: Item
instance of: scholarly article
title: A class of compressible elastic materials capable of sustaining finite anti-plane shear
zbMATH Open document ID: 0766.73021
DOI: 10.1007/BF00040926
author: Qing Jiang
author: James K. Knowles
published in: Journal of Elasticity
publication date: 1993-01-16T00:00:00Z
review text: This paper describes a simple class of homogeneous, isotropic, compressible hyperelastic materials capable of sustaining nontrivial states of finite anti-plane shear. This paper consists of the following topics: 1.) field equations have been derived; 2.) the special subclass of materials has been specified and it has been further shown that non- trivial anti-plane shear is possible for all materials of this subclass; 3.) a subclass that corresponds to the neo-Hookean incompressible material has been discussed at length with the help of an example. The paper is concise and precise and has nicely been presented. It deals with the advanced concepts of elasticity. It is really a very good piece of research work. A good number of references has been cited indicating the authors awareness and keenness of the subject.
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 91231
zbMATH Keywords: invariant
zbMATH Keywords: elliptic
zbMATH Keywords: hyperelastic materials
zbMATH Keywords: neo-Hookean incompressible material
MaRDI profile type: Publication
cites work: On finite anti-plane shear for imcompressible elastic materials
cites work: A note on anti-plane shear for compressible materials in finite elastostatics
cites work: Two-phase deformations of elastic solids
cites work: On the Scale of the Nonlinear Effect in a Crack Problem
cites work: Plane elastic waves of finite amplitude. Hadamard materials and harmonic materials
full work available at URL: https://doi.org/10.1007/bf00040926
OpenAlex ID: W2035769617
description: scientific article; zbMATH DE number 91231