The Cauchy Relations in Linear Elasticity Theory
arXiv:cond-mat/0206175
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.
9 pages latex with Kluwer style files, will appear in the J. of Elasticity