On the representation of the elasticity tensor for isotropic materials
type: Item
instance of: scholarly article
title: On the representation of the elasticity tensor for isotropic materials
zbMATH Open document ID: 0852.73020
DOI: 10.1007/BF00043415
author: James K. Knowles
published in: Journal of Elasticity
publication date: 1995-10-19T00:00:00Z
review text: The author revisits a result concerning the representation of the elasticity 4-tensor for isotropic materials. He establishes necessary and sufficient conditions for a 4-tensor with the major symmetry and both minor symmetries to be isotropic. This is an elegant proof; however, the paper would have been more complete if the author had summarized other recent proofs.
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 15A72
zbMATH DE Number: 807332
zbMATH Keywords: 4-tensor
zbMATH Keywords: major symmetry
zbMATH Keywords: minor symmetries
reviewed by: H. Ramkissoon
MaRDI profile type: Publication
cites work: Q4079139
cites work: A short proof of the representation theorem for isotropic, linear stress- strain relations
description: scientific article; zbMATH DE number 807332