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May  2001, 1(2): 257-263. doi: 10.3934/dcdsb.2001.1.257

Necessary and sufficient conditions for strong ellipticity of isotropic functions in any dimension

Bernard Dacorogna 1,

1. 

Department of Mathématics, EPFL, 1015 Lausanne, Switzerland

Revised  November 2000 Published  February 2001

We consider hyperelastic stored energy functions in $\mathbb{R}^{n\times n}$ that are isotropic. We give necessary and sufficient conditions for the ellipticity of such functions. The present article is essentially a review of recent results on the subject.
Keywords: hyperelastic stored energy functions..
Mathematics Subject Classification: 83C4.
Citation: Bernard Dacorogna. Necessary and sufficient conditions for strong ellipticity of isotropic functions in any dimension. Discrete & Continuous Dynamical Systems - B, 2001, 1 (2) : 257-263. doi: 10.3934/dcdsb.2001.1.257
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