On obtaining effective transversely isotropic elasticity tensors

DOI10.1007/s10659-008-9180-2zbMath1159.74405OpenAlexW2090190590MaRDI QIDQ1013583

Michael A. Slawinski, Mikhail Kochetov

Publication date: 20 April 2009

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

Full work available at URL: https://doi.org/10.1007/s10659-008-9180-2

zbMATH Keywords

anisotropyFrobenius normquaternionstransverse isotropyeffective mediumEuclidean distancelog-Euclidean distanceHookean solid

Mathematics Subject Classification ID

Related Items (8)

Generalized stochastic approach for constitutive equation in linear elasticity: a random matrix model ⋮ A stochastic model for elasticity tensors with uncertain material symmetries ⋮ Distance to a constitutive tensor isotropy stratum by the Lasserre polynomial optimization method ⋮ Identifying symmetry classes of elasticity tensors using monoclinic distance function ⋮ Effective elasticity tensors in context of random errors ⋮ Transversely isotropic tensor closest in Euclidean norm to a given anisotropic elastic modulus tensor ⋮ On commutativity and near commutativity of translational and rotational averages: analytical proofs and numerical examinations ⋮ 2-norm effective isotropic Hookean solids

Cites Work

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• The structure of the linear anisotropic elastic symmetries
• Characterization of elasticity-tensor symmetries using \(SU(2)\)
• The closest elastic tensor of arbitrary symmetry to an elasticity tensor of lower symmetry
• Symmetry classes for elasticity tensors
• Generalized Cowin-Mehrabadi theorems and a direct proof that the number of linear elastic symmetries is eight
• On the averaging of symmetric positive-definite tensors
• Material symmetries of elasticity tensors
• PROPERTIES OF THE ANISOTROPIC ELASTICITY TENSOR

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