Anisotropic Elastic Constants That are Structurally Invariant

DOI10.1093/qjmam/53.4.511zbMath0985.74013OpenAlexW2021190242MaRDI QIDQ4522282

Ting, T. C. T.

Publication date: 27 May 2002

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/53.4.511

zbMATH Keywords

structural invariantsorthogonal transformationsymmetry planemonoclinic materialsanisotropic elastic constantsrotation of coordinate systemthree-dimensional transformationtwo-dimensional transformation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10)

Related Items (7)

The incompressible limit in linear anisotropic elasticity, with applications to surface waves and elastostatics ⋮ Can a Linear Anisotropic Elastic Material Have a Uniform Contraction under a Uniform Pressure? ⋮ Decompositions of the Compliance Operator for Analyzing Extreme Elastic Properties ⋮ Longitudinal and transverse waves in anisotropic elastic materials ⋮ On anisotropic elastic materials for which one sheet of the slowness surface is a sphere or a cross-section of a slowness sheet is a circle ⋮ On anisotropic elastic materials for which Young's modulus \(E(\mathbf{n})\) is independent of \(\mathbf{n}\) or the shear modulus \(G(\mathbf{n},\mathbf{m})\) is independent of \(\mathbf{n}\) and \(\mathbf{m}\) ⋮ Restricted Invariants on the Space of Elasticity Tensors

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