Generalized Cowin-Mehrabadi theorems and a direct proof that the number of linear elastic symmetries is eight
type: Item
instance of: scholarly article
title: Generalized Cowin-Mehrabadi theorems and a direct proof that the number of linear elastic symmetries is eight
zbMATH Open document ID: 1073.74011
DOI: 10.1016/S0020-7683(03)00358-5
published in: International Journal of Solids and Structures
publication date: 2004-07-12T00:00:00Z
review text: Imposing one symmetry plane at a time, the author proves that there are exactly eight elastic symmetries for a linear anisotropic elastic material. Depending on the location of the symmetry plane, the author obtains that the orthotropic, tetragonal, trigonal or transversely isotropic or a cubic material reduces to an isotropic material when any symmetry plane is added. An interesting result obtained is the structure of the elastic matrix of a cubic material. It is shown that it can resemble a tetragonal or a trigonal material.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 2078480
zbMATH Keywords: anisotropic materials
zbMATH Keywords: material symmetry
zbMATH Keywords: cubic materials
author: Ting, T. C. T.
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2078480