On the Tensor Function Representations of 2nd‐Order and 4th‐Order Tensors. Part I

DOI10.1002/zamm.19950750410zbMath0832.73003OpenAlexW1972886286MaRDI QIDQ4847483

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Publication date: 5 November 1995

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19950750410

zbMATH Keywords

symmetryinvariantsisotropic materialanisotropic materialtensor spacesskew-symmetryorthogonal transformation groupscomplete irreducible representationsinvariant eigenvalue problem

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Theory of constitutive functions in solid mechanics (74A20)

Related Items (5)

On the representation and implicit integration of general isotropic elastoplasticity based on a set of mutually orthogonal unit basis tensors ⋮ Computation of minimal covariants bases for 2D coupled constitutive laws ⋮ Isotropic orientation distributions of cubic crystals ⋮ Isotropic polynomial invariants of Hall tensor ⋮ On the theory of fourth-order tensors and their applications in computational mechanics

Cites Work

• Applications of tensor functions in solid mechanics
• Orbits in 4-dimensional compact projective planes
• Irreducible invariants of fourth-order tensors
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