On necessary and sufficient conditions of strong ellipticity of equilibrium equations for certain classes of anisotropic linearly elastic materials
On necessary and sufficient conditions of strong ellipticity of equilibrium equations for certain classes of anisotropic linearly elastic materials
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DOI：
10.1002/zamm.201500167
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发表时间：
2016-09
期刊：
影响因子：
--
通讯作者：
L. Zubov;A. Rudev
中科院分区：
文献类型：
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作者：
L. Zubov;A. Rudev
在各向异性固体线弹性的框架下，讨论了强椭圆性条件。本文推导了19类32种已知各向异性的SE条件。对于每一类，SE-条件都归结为一组有限的基本不等式。作为特例，还考虑了不可压缩材料。
Within the framework of linear elasticity of anisotropic solids, the strong ellipticity (SE) condition is discussing. In this paper, the SE‐condition is deriving for 19 classes of 32 known ones of anisotropy. For each class SE‐condition reduces to a finite set of elementary inequalities. As a special case, incompressible materials are also considered.