The Cauchy Relations in Linear Elasticity Theory

Details The Cauchy Relations in Linear Elasticity Theory The Cauchy Relations in Linear Elasticity Theory

2002-06-11

arxiv.org/abs/cond-mat/0206175v1

Physics

Condensed Matter

9 pages latex with Kluwer style files, will appear in the J. of Elasticity

Scientific paper

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.

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