A Note on Strong Ellipticity in Two-Dimensional Isotropic Elasticity

被引：9
|
作者：
De Tommasi, Domenico [1 ]
Puglisi, Giuseppe [1 ]
Zurlo, Giuseppe [1 ]
机构：
[1] Politecn Bari, Dipartimento Ingn Civile & Ambientale, Bari, Italy
来源：
JOURNAL OF ELASTICITY | 2012年 / 109卷 / 01期
关键词：
Strong ellipticity; Nonlinear elasticity; Isotropic materials; Plane deformations; SUFFICIENT CONDITIONS; PLANE-STRAIN; ELASTOSTATICS;
D O I：
10.1007/s10659-011-9370-1
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Based on the choice of two physically meaningful strain measures, we study necessary and sufficient conditions for strong ellipticity of the equilibrium equations for two-dimensional isotropic hyperelastic bodies. Specifically, we show, depending on the values of the derivatives of the energy function, that strong ellipticity is equivalent to a single condition with a clear physical interpretation.
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页码：67 / 74
页数：8
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