The Cauchy Relations in Linear Elasticity Theory
- Cite this article as:
- Hehl, F.W. & Itin, Y. Journal of Elasticity (2002) 66: 185. doi:10.1023/A:1021225230036
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In linear elasticity, we decompose the elasticity tensor into two irreducible pieces with 15 and 6 independent components, respectively. The 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.