Stability of the elastic energy in star-shaped domains

K. Zhang

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

For pure displacement boundary value problems of compressible hyperelastic materials with affine boundary values and small body forces, we show that the energy of any smooth solution is close to the energy of that of the affine mapping given by the boundary condition. The energy of any minimizer is also close to that of the affine mapping provided that the minimizer exists. The main assumptions are that the reference configuration is star-shaped and the stored energy function is strongly W1,2-quasiconvex.

Original languageEnglish
Pages (from-to)424-433
Number of pages10
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume50
Issue number3
Publication statusPublished - Aug 1997

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