The Cauchy Relations in Linear Elasticity Theory |
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| Authors: | Friedrich W Hehl Yakov Itin |
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| Institution: | (1) Institute for Theoretical Physics, University of Cologne, 50923 Köln, Germany;(2) Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, 91904, Israel, and Jerusalem College of Engineering, Jerusalem 91035, Israel |
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| Abstract: | 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. |
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| Keywords: | linear elasticity Hooke's law Cauchy relations |
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