The Cauchy Relations in Linear Elasticity Theory
Condensed Matter
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
In linear elasticity, we decompose the elasticity tensor into two irreducible pieces with 15 and 6 independent components, respectively. The {\it vanishing} of the piece with 6 independent components corresponds to the Cauchy relations. Thus, for the first time, we recognize the group-theoretical underpinning of the Cauchy relations.
Keywords
Cite
@article{arxiv.cond-mat/0206175,
title = {The Cauchy Relations in Linear Elasticity Theory},
author = {Friedrich W. Hehl and Yakov Itin},
journal= {arXiv preprint arXiv:cond-mat/0206175},
year = {2007}
}
Comments
9 pages latex with Kluwer style files, will appear in the J. of Elasticity