Characterization of elasticity-tensor symmetries using \(SU(2)\)

DOI10.1007/s10659-004-7192-0zbMath1081.74005OpenAlexW1964640634MaRDI QIDQ816716

Andrej Bóna, Michael A. Slawinski, Ioan Bucataru

Publication date: 23 February 2006

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

Full work available at URL: https://doi.org/10.1007/s10659-004-7192-0

zbMATH Keywords

orthogonal groupunitary group

Mathematics Subject Classification ID

Related Items (7)

The closest elastic tensor of arbitrary symmetry to an elasticity tensor of lower symmetry ⋮ Symmetry classes for odd-order tensors ⋮ A minimal integrity basis for the elasticity tensor ⋮ On anisotropic polynomial relations for the elasticity tensor ⋮ Recovering the normal form and symmetry class of an elasticity tensor ⋮ On obtaining effective transversely isotropic elasticity tensors ⋮ Effective elasticity tensors in context of random errors

Cites Work

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• Generalized Cowin-Mehrabadi theorems and a direct proof that the number of linear elastic symmetries is eight
• ON THE IDENTIFICATION OF MATERIAL SYMMETRY FOR ANISOTROPIC ELASTIC MATERIALS
• Classification of symmetry by means of Maxwell multipoles
• Maxwell's multipole representation of traceless symmetric tensors and its application to functions of high-order tensors
• Material symmetries of elasticity tensors
• A new proof that the number of linear elastic symmetries is eight

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