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

被引：44
作者：
Dacorogna, B [1 ]
机构：
[1] EPFL, Dept Math, CH-1015 Lausanne, Switzerland
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2001年 / 1卷 / 02期
关键词：
D O I：
10.3934/dcdsb.2001.1.257
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider hyperelastic stored energy functions in R-n x 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.
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页码：257 / 263
页数：7
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