Irreducible matrix resolution for symmetry classes of elasticity tensors

DOI10.1177/1081286520913596OpenAlexW3018053093WikidataQ114063747 ScholiaQ114063747MaRDI QIDQ4971521

Yakov Itin

Publication date: 12 October 2020

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03367

zbMATH Keywords

irreducible decompositionmatrix representationanisotropic elasticity tensor

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items (1)

Decomposition of third-order constitutive tensors

Cites Work

• Quadratic invariants of the elasticity tensor
• On anisotropic polynomial relations for the elasticity tensor
• A unified approach to invariants of plane elasticity tensors
• The structure of the linear anisotropic elastic symmetries
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• Symmetry classes for elasticity tensors
• Harmonic factorization and reconstruction of the elasticity tensor
• The Cauchy relations in linear elasticity theory
• On the number of distinct elastic constants associated with certain anisotropic elastic symmetries
• A minimal integrity basis for the elasticity tensor
• Invariants for rari- and multi-constant theories with generalization to anisotropy in biological tissues
• Functional bases for transversely isotropic and transversely hemitropic invariants of elasticity tensors
• HARMONIC DECOMPOSITION OF THE ANISOTROPIC ELASTICITY TENSOR
• Material symmetries of elasticity tensors
• PROPERTIES OF THE ANISOTROPIC ELASTICITY TENSOR
• Generic separating sets for three-dimensional elasticity tensors
• Quadratic invariants of elastic moduli
• The constitutive tensor of linear elasticity: Its decompositions, Cauchy relations, null Lagrangians, and wave propagation
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