On the symmetries of 2D elastic and hyperelastic tensors

被引：36

作者：

He, QC ^{[1
]}

Zheng, QS ^{[1
]}

机构：

[1] TSING HUA UNIV,DEPT ENGN MECH,BEIJING 100084,PEOPLES R CHINA

来源：

JOURNAL OF ELASTICITY | 1996年 / 43卷 / 03期

关键词：

elasticity; hyperelasticity; symmetry; groups; Kronecker; isotropy; anisotropy; classification;

D O I：

10.1007/BF00042501

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A thorough investigation is made of the independent point-group symmetries and canonical matrix forms that the 2D elastic and hyperelastic tensors can have. Particular attention is paid to the concepts relevant to the proper definition of the independence of a symmetry from another one. It is shown that the numbers of all independent symmetries for the 2D elastic and hyperelastic tensors are six and four, respectively. In passing, a symmetry result useful for the homogenization theory of 2D linear elastic heterogeneous media is derived.

引用

页码：203 / 225

页数：23

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