Harmonic Factorization and Reconstruction of the Elasticity Tensor

被引：0
|
作者：
M. Olive
B. Kolev
B. Desmorat
R. Desmorat
机构：
[1] LMT (ENS Cachan,CNRS, Centrale Marseille, I2M, UMR 7373
[2] CNRS,UMPC Univ. Paris 06, CNRS, UMR 7190, Institut d’Alembert
[3] UMR 8535,undefined
[4] Université Paris Saclay),undefined
[5] Aix Marseille Université,undefined
[6] Sorbonne Université,undefined
[7] Univ. Paris Sud 11,undefined
来源：
Journal of Elasticity | 2018年 / 132卷
关键词：
Anisotropy; Sylvester theorem; Harmonic factorization; Harmonic product; Tensorial reconstruction; Covariant tensors; 74E10; 15A72; 74B05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study anisotropic Hooke’s tensor: we propose a factorization of its fourth-order harmonic part into second-order tensors. We obtain moreover explicit equivariant reconstruction formulas, using second-order covariants, for transverse isotropic and orthotropic fourth-order harmonic tensors, and for trigonal and tetragonal fourth-order harmonic tensors up to a cubic fourth order covariant remainder.
引用
收藏
页码：67 / 101
页数：34
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