Implications of rank one convexity
type: Item
instance of: scholarly article
title: Implications of rank one convexity
zbMATH Open document ID: 0664.73006
DOI: 10.1016/S0294-1449(16)30351-1
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 1988-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78150
review text: The purpose of this paper is to study some of the implications for stability of equilibria in nonlinear elastostatics of assuming that the stored energy function is rank one convex. The main result is that the uniqueness result of \textit{R. J. Knops} and \textit{C. A. Stuart} [e.g. Arch. Ration. Mech. Anal. 86, 233-249 (1984; Zbl 0589.73017)] may be derived by the authors' methods.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74G30
Mathematics Subject Classification ID: 74H25
Mathematics Subject Classification ID: 49J45
zbMATH DE Number: 4087132
zbMATH Keywords: rank one convexity
zbMATH Keywords: one parameter family of equilibria
author: Sivaloganathan, Jeyabal
reviewed by: Jan Lovíšek
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4087132