Abstract
SynopsisJ. M. Ball has introduced the notion of polyconvexity to study nonlinear problems in elasticity and he has shown that polyconvexity implies rank 1 convexity. In this paper we prove by a counterexample that the converse of this implication is false in two dimensions.
Publisher
Cambridge University Press (CUP)
Reference6 articles.
1. Die Darstellung biquadratischer Formen als Summen von Quadraten mit Anwendung auf die Variationsrechnung
2. Sur la faible fermeture de certains ensembles de contrainte en élasticité non linéaire plane;Aubert;C.R. Acad. Sci. Paris Sér. A,1980
3. Convexity conditions and existence theorems in nonlinear elasticity
4. Formes quadratiques et calcul des variations;Serre;J. Math. Pures Appl.,1983
Cited by
16 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献