Irreducible invariants of fourth-order tensors

DOI10.1016/0270-0255(87)90535-5zbMath0634.73006OpenAlexW2005375943MaRDI QIDQ3773443

Josef Betten

Publication date: 1987

Published in: Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0270-0255(87)90535-5

zbMATH Keywords

eigenvectorsecond-order tensorsmaterial tensors of rank two and fourscalar-valued functionsintegrity basiseffect of damageAnisotropic effectsargument tensorsHamilton-Cayley's theoremmaterial tensor of rank fouroriented solidsset of irreducible invariants

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Anisotropy in solid mechanics (74E10) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

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On the second-order homogenization of wave motion in periodic media and the sound of a chessboard ⋮ A minimal integrity basis for the elasticity tensor ⋮ On the Tensor Function Representations of 2nd‐Order and 4th‐Order Tensors. Part I ⋮ On the Tensor Function Representations of 2nd‐Order and 4th‐Order Tensors. Part I ⋮ Computation of minimal covariants bases for 2D coupled constitutive laws ⋮ On anisotropic polynomial relations for the elasticity tensor ⋮ Generic separating sets for three-dimensional elasticity tensors ⋮ Recent advances in mathematical modelling of materials behavior ⋮ On the theory of fourth-order tensors and their applications in computational mechanics

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