Symmetry classes for even-order tensors

DOI10.2140/MEMOCS.2013.1.177zbMath1391.15089OpenAlexW2963462526MaRDI QIDQ397114

Nicolas Auffray, Marc Olive

Publication date: 8 August 2014

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

Full work available at URL: https://doi.org/10.2140/memocs.2013.1.177

zbMATH Keywords

anisotropystrain-gradient elasticitysymmetry classesgeneralized continuum theorieshigher-order tensors

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Applications of group representations to physics and other areas of science (20C35) Elastic materials (74B99)

Related Items (18)

Stress gradient elasticity theory: existence and uniqueness of solution ⋮ Generalizations of Snoek equation for anisotropic media with magnetic relaxation ⋮ The linear elasticity tensor of incompressible materials ⋮ A hierarchy of simplified constitutive models within isotropic strain gradient elasticity ⋮ Handbook of bi-dimensional tensors: Part I: Harmonic decomposition and symmetry classes ⋮ On the algebraic structure of isotropic generalized elasticity theories ⋮ Tensor- and spinor-valued random fields with applications to continuum physics and cosmology ⋮ Clips operation between type-II and type-III \(O(3)\)-subgroups with application to piezoelectricity ⋮ Inverse Hooke's law and complementary strain energy in coupled strain gradient elasticity ⋮ On the nature of the relaxation time, the Maxwell-Cattaneo and Fourier law in the thermodynamics of a continuous medium, and the scale effects in thermal conductivity ⋮ The atomistic representation of first strain-gradient elastic tensors ⋮ Finite-deformation second-order micromorphic theory and its relations to strain and stress gradient models ⋮ On anisotropic polynomial relations for the elasticity tensor ⋮ Effective description of anisotropic wave dispersion in mechanical band-gap metamaterials via the relaxed micromorphic model ⋮ Anisotropy in strain gradient elasticity: simplified models with different forms of internal length and moduli tensors ⋮ Nonlinear and linear elastodynamic transformation cloaking ⋮ Symmetry classes in piezoelectricity from second-order symmetries ⋮ Characterization of the symmetry class of an elasticity tensor using polynomial covariants

This page was built for publication: Symmetry classes for even-order tensors