The constitutive tensor of linear elasticity: Its decompositions, Cauchy relations, null Lagrangians, and wave propagation

DOI10.1063/1.4801859zbMath1282.74010arXiv1208.1041OpenAlexW3100996757MaRDI QIDQ5397800

Friedrich W. Hehl, Yakov Itin

Publication date: 24 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.1041

Mathematics Subject Classification ID

Classical linear elasticity (74B05)

Related Items (9)

Quadratic invariants of the elasticity tensor ⋮ Constitutive matrices for 32 typical classes of crystalline solids with couple stress, quadrupole, and curvature-based flexoelectric effects ⋮ Comparison of the DeWitt metric in general relativity with the fourth-rank constitutive tensors in electrodynamics and in elasticity theory ⋮ Kinetic modeling of multiple scattering of elastic waves in heterogeneous anisotropic media ⋮ On decompositions and approximations of conjugate partial-symmetric tensors ⋮ Null Lagrangians in linear theories of micropolar type and few other generalizations of elasticity ⋮ Null Lagrangians in Cosserat elasticity ⋮ Irreducible matrix resolution for symmetry classes of elasticity tensors ⋮ Decomposition of third-order constitutive tensors

Cites Work

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