Relaxation of some functionals of the calculus of variations - Zurich Open Repository and Archive

Bousselsal, M; Chipot, M (1995). Relaxation of some functionals of the calculus of variations. Archiv der Mathematik, 65(4):316-326.

Abstract

In this note we compute the relaxed energy for a class of functionals defined on the set of $(n+ p)\times n$ matrices and give some applications in particular for the Saint-Venant-Kirchhoff energy density.

Abstract

In this note we compute the relaxed energy for a class of functionals defined on the set of $(n+ p)\times n$ matrices and give some applications in particular for the Saint-Venant-Kirchhoff energy density.

Citations

3 citations in Web of Science®
3 citations in Scopus®

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Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics envelope; convex; polyconvex; quasiconvex; rank 1 convex; stored energy; relaxation; functionals; Saint-Venant-Kirchhoff energy density English 1995 26 Aug 2010 07:19 05 Apr 2016 13:27 Springer 0003-889X https://doi.org/10.1007/BF01195543 http://www.ams.org/mathscinet-getitem?mr=1349186