2002/06/11 by Friedrich W. Hehl, Hehl, Friedrich W., Yakov Itin +1
Engineering · Mathematics · Physics and Astronomy · #Composite Structure Analysis and Optimization #Condensed Matter (cond-mat) #Elasticity and Material Modeling #Elasticity and Wave Propagation #FOS: Physical sciences #Mathematical Physics (math-ph) #cond-mat #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.cond-mat/0206175
9 pages latex with Kluwer style files, will appear in the J. of Elasticity
arxiv created 2002/06/11 · openalex publication_date 2002/06/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.