Transversely isotropic tensor closest in Euclidean norm to a given anisotropic elastic modulus tensor

DOI10.1134/S0021894419010140zbMath1459.74019OpenAlexW2974557153MaRDI QIDQ2319802

N. I. Ostrosablin

Publication date: 20 August 2019

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0021894419010140

zbMATH Keywords

orthonormal basiscubic symmetryabsolute minimum Euclidean distanceirreducible invariant decomposition

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10)

Related Items (1)

Using eigenmoduli and eigenstates to evaluate the possibility of martensitic phase transformations

Cites Work

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• The closest elastic tensor of arbitrary symmetry to an elasticity tensor of lower symmetry
• On obtaining effective transversely isotropic elasticity tensors
• Invariant properties for finding distance in space of elasticity tensors
• Symmetry classes of the anisotropy tensors of quasielastic materials and a generalized Kelvin approach
• Extreme conditions of elastic constants and principal axes of anisotropy
• Diagonalization of a three-dimensional system of equations in terms of displacements of the linear theory of elasticity of transversely isotropic media
• A transversely isotropic elastic model of geomaterials
• On Choosing Effective Symmetry Classes for Elasticity Tensors
• On obtaining effective orthotropic elasticity tensors

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