On the stored energy functions of hyperelastic materials with internal constraints
type: Item
instance of: scholarly article
title: On the stored energy functions of hyperelastic materials with internal constraints
zbMATH Open document ID: 0663.73011
DOI: 10.1007/BF00251495
author: S. H. Smith
published in: Archive for Rational Mechanics and Analysis
publication date: 1988-01-01T00:00:00Z
review text: Topic of this paper is the stored energy function of hyperelastic materials with internal constraints. The deformation of such a body is subject to certain constraints as incompressibility, inextensibility or a combination of these. The authors generalize some results for the functional dependence of the stored energy function on the deformation gradient of constraint-free materials to those with constraints. This paper deserves the interest of researchers in the mathematical foundation of continuum mechanics.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74Axx
zbMATH DE Number: 4085134
zbMATH Keywords: incompressibility
zbMATH Keywords: inextensibility
reviewed by: U. Gamer
MaRDI profile type: Publication
cites work: On the response and symmetry of elastic materials with internal constraints
cites work: A THEOREM ON THE ISOTROPY GROUPS OF A HYPERELASTIC MATERIAL
cites work: On the response functions of elastic materials
description: scientific article; zbMATH DE number 4085134