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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Polyconvexity
Nonlinear Elasticity
Stability of Equilibria
Local Minimizer
Energy Function
Weak Solution

Cite this

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title = "Polyconvexity and stability of equilibria in nonlinear elasticity",
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. {\circledC} 1990 Oxford University Press.",
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Polyconvexity and stability of equilibria in nonlinear elasticity. / Zhang, Kewei.

In: Quarterly Journal of Mechanics and Applied Mathematics, Vol. 43, No. 2, 05.1990, p. 215-221.

Research output: Contribution to journalArticle

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