The Cauchy relations in linear elasticity theory

DOI10.1023/A:1021225230036zbMath1026.74008arXivcond-mat/0206175MaRDI QIDQ1870165

Friedrich W. Hehl, Yakov Itin

Publication date: 11 May 2003

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0206175

zbMATH Keywords

linear elasticityHooke's lawCauchy relations

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Classical linear elasticity (74B05)

Related Items (7)

Quadratic invariants of the elasticity tensor ⋮ Invariants for rari- and multi-constant theories with generalization to anisotropy in biological tissues ⋮ Comparison of the DeWitt metric in general relativity with the fourth-rank constitutive tensors in electrodynamics and in elasticity theory ⋮ The constitutive tensor of linear elasticity: Its decompositions, Cauchy relations, null Lagrangians, and wave propagation ⋮ Null Lagrangians in linear theories of micropolar type and few other generalizations of elasticity ⋮ Combining the modified discrete element method with the virtual element method for fracturing of porous media ⋮ Irreducible matrix resolution for symmetry classes of elasticity tensors

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