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On a counterexample of a rank 1 convex function which is not polyconvex in the case N = 2

Published online by Cambridge University Press:  14 November 2011

G. Aubert
G. Aubert
Affiliation:
IUT de Nice, 41 Bd Napoleon 3, 06041 Nice Cedex, France
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Synopsis

J. 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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 106 , Issue 3-4 , 1987 , pp. 237 - 240
Copyright
Copyright © Royal Society of Edinburgh 1987

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References

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