JournalsaihpcVol. 5, No. 2pp. 99–118

Implications of rank one convexity

  • J. Sivaloganathan

    School of Mathematical Sciences, University of Bath, Claverton Down, Bath BA2 7AY
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Abstract

In this paper we study some of the implications for stability of equilibria in nonlinear elastostatics of assuming that the stored energy function is rank one convex.

Résumé

Dans cet article nous étudions la stabilité des équilibres en élastostatique non linéaire sous l’hypothèse que la fonction d’énergie emmagasinée est convexe de rang un.

Cite this article

J. Sivaloganathan, Implications of rank one convexity. Ann. Inst. H. Poincaré Anal. Non Linéaire 5 (1988), no. 2, pp. 99–118

DOI 10.1016/S0294-1449(16)30351-1