On the symmetries of 2D elastic and hyperelastic tensors

DOI10.1007/BF00042501zbMath0876.73003MaRDI QIDQ1357198

O. Diekmann

Publication date: 16 June 1997

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

zbMATH Keywords

classificationanisotropyhomogenization theoryisotropycanonical matrix formsindependent point-group symmetries

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Classical linear elasticity (74B05) Nonlinear elasticity (74B20) Crystalline structure (74E15)

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Cites Work

• On the completeness of crystallographic symmetries in the description of the symmetries of the elastic tensor
• On the canonical representations for Kronecker powers of orthogonal tensors with application to material symmetry problems
• The description, classification, and reality of material and physical symmetries
• Invariant properties of the stress in plane elasticity and equivalence classes of composites
• New results in the theory of elasticity for two-dimensional composites
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