On the completeness of crystallographic symmetries in the description of the symmetries of the elastic tensor
type: Item
instance of: scholarly article
title: On the completeness of crystallographic symmetries in the description of the symmetries of the elastic tensor
zbMATH Open document ID: 0755.73015
DOI: 10.1007/BF00040927
author: Yong Zhong Huo
author: Gianpietro Del Piero
published in: Journal of Elasticity
publication date: 1993-01-16T00:00:00Z
review text: The authors prove that the context of linear elasticity the elastic symmetries are twelve; i.e., the eleven symmetries pertaining to the crystal classes and isotropy, not only in the theories proposed up to now but exactly. Each symmetry is defined by the group of rotations; for example, the orthotropy is defined by the group generated by the three rotations about three perpendicular axes. The concept of partial ordering is helpful in simplifying the component forms of the elasticity tensors. The twelve elastic symmetries are listed with the number of independent elastic constants.
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74E15
Mathematics Subject Classification ID: 74B99
zbMATH DE Number: 91232
zbMATH Keywords: linear elasticity
zbMATH Keywords: group of rotations
zbMATH Keywords: partial ordering
zbMATH Keywords: independent elastic constants
reviewed by: Sitiro Minagawa
MaRDI profile type: Publication
cites work: Q3844894
cites work: Material symmetry and thermostatic inequalities in finite elastic deformations
cites work: Q4079139
cites work: Q4775958
cites work: Transversely isotropic elasticity tensors
cites work: Asymmetric relaxation and compliance matrices in linear viscoelasticity
cites work: Q5808061
cites work: The Strain-Energy Function for Anisotropic Elastic Materials
cites work: Q3266164
description: scientific article; zbMATH DE number 91232