On homotopy conditions and the existence of multiple equilibria in finite elasticity

K. D.E. Post; J. Sivaloganathan

doi:10.1017/S0308210500029929

On homotopy conditions and the existence of multiple equilibria in finite elasticity

K. D.E. Post
, J. Sivaloganathan

Humboldt University of Berlin

Research output: Contribution to journal › Article › peer-review

28 Citations (SciVal)

Abstract

In this paper we study homotopy classes of deformations and their properties under weak convergence. As an application, we give an analytic proof (in two and three dimensions) of the existence of infinitely many local minimisers for a displacement boundary-value problem from finite elasticity, posed on a nonconvex domain, under the constitutive assumption of polyconvexity.

Original language	English
Pages (from-to)	595-614
Number of pages	20
Journal	Royal Society of Edinburgh - Proceedings A
Volume	127
Issue number	3
DOIs	https://doi.org/10.1017/S0308210500029929
Publication status	Published - 1997

ASJC Scopus subject areas

General Mathematics

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abstract = "In this paper we study homotopy classes of deformations and their properties under weak convergence. As an application, we give an analytic proof (in two and three dimensions) of the existence of infinitely many local minimisers for a displacement boundary-value problem from finite elasticity, posed on a nonconvex domain, under the constitutive assumption of polyconvexity.",

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AB - In this paper we study homotopy classes of deformations and their properties under weak convergence. As an application, we give an analytic proof (in two and three dimensions) of the existence of infinitely many local minimisers for a displacement boundary-value problem from finite elasticity, posed on a nonconvex domain, under the constitutive assumption of polyconvexity.

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U2 - 10.1017/S0308210500029929

DO - 10.1017/S0308210500029929

M3 - Article

AN - SCOPUS:21744462200

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EP - 614

JO - Royal Society of Edinburgh - Proceedings A

JF - Royal Society of Edinburgh - Proceedings A

IS - 3

ER -

On homotopy conditions and the existence of multiple equilibria in finite elasticity

Abstract

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