Polyconvexity and stability of equilibria in nonlinear elasticity

Kewei Zhang

Research output: Contribution to journalArticle

Abstract

This note establishes a stability result for C1 weak solutions to the equilibrium equations of nonlinear elasticity under the constitutive assumption of strict polyconvexity. That is, for a large class of polyconvex stored-energy functions all C1 weak equilibria are strong local minimizers with respect to variations of sufficiently small support. © 1990 Oxford University Press.

Original languageEnglish
Pages (from-to)215-221
Number of pages7
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume43
Issue number2
DOIs
Publication statusPublished - May 1990

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