Isotropic invariants of traceless symmetric tensors of orders three and four

DOI10.1016/S0020-7225(97)00048-7zbMath0907.15019OpenAlexW2027941247WikidataQ127561165 ScholiaQ127561165MaRDI QIDQ1388347

D. Massart

Publication date: 11 June 1998

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7225(97)00048-7

zbMATH Keywords

invariant functionintegrity basistraceless symmetric tensors

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72)

Related Items (14)

Harmonic factorization and reconstruction of the elasticity tensor ⋮ Isotropic invariants of a completely symmetric third-order tensor ⋮ A minimal integrity basis for the elasticity tensor ⋮ An irreducible function basis of isotropic invariants of a third order three-dimensional symmetric tensor ⋮ Nonlinear (chiral) \(p\)-form electrodynamics ⋮ Irreducible function bases of isotropic invariants of a third order three-dimensional symmetric and traceless tensor ⋮ Distance to a constitutive tensor isotropy stratum by the Lasserre polynomial optimization method ⋮ A review on octupolar tensors ⋮ Computation of minimal covariants bases for 2D coupled constitutive laws ⋮ Two irreducible functional bases of isotropic invariants of a fourth-order three-dimensional symmetric and traceless tensor ⋮ Generic separating sets for three-dimensional elasticity tensors ⋮ Explicit harmonic structure of bidimensional linear strain-gradient elasticity ⋮ Isotropic polynomial invariants of Hall tensor ⋮ An irreducible polynomial functional basis of two-dimensional Eshelby tensors

Cites Work

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• On generating functions for the number of invariants of orthogonal tensors

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