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25 April 2024
 
  » arxiv » cond-mat/0206175

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The Cauchy Relations in Linear Elasticity Theory
Friedrich W. Hehl ; Yakov Itin ;
Date 11 Jun 2002
Subject Condensed Matter; Mathematical Physics | cond-mat math-ph math.MP
AffiliationCologne) and Yakov Itin (Jerusalem
AbstractIn 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.
Source arXiv, cond-mat/0206175
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