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On the planar rank-one convexity condition

Published online by Cambridge University Press:  14 November 2011

G. P. Parry
G. P. Parry
Affiliation:
School of Mathematical Sciences, University of Bath, Claverton Down, Bath BA2 7AY, U.K.
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Abstract

I discuss implications of the rank-one convexity condition in a particular case.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 2 , 1995 , pp. 247 - 264
Copyright
Copyright © Royal Society of Edinburgh 1995

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References

1Ball, J. M.. Convexity conditions and existence theorems in nonlinear elasticity. Arch. Rational Mech. Anal. 63(1978), 337–403.CrossRefGoogle Scholar
2Šverák, V.. Rank-one convexity does not imply quasiconvexity. Proc. Roy. Soc. Edinburgh Sect. A 120 (1992), 185–189.CrossRefGoogle Scholar