A concise proof of the representation theorem for fourth-order isotropic tensors

DOI10.1007/s10659-006-9074-0zbMath1104.74017OpenAlexW2012898214MaRDI QIDQ859755

Chandrashekhar Jog

Publication date: 18 January 2007

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-006-9074-0

zbMATH Keywords

eigenvalue: eigentensorfour-order rotations

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Elastic materials (74B99)

Related Items (4)

On the mean and variance of the generalized inverse of a singular Wishart matrix ⋮ Irreducibility of a symmetry group implies isotropy ⋮ Effective balance equations for electrostrictive composites ⋮ Green-Naghdi rate of the Kirchhoff stress and deformation rate: the elasticity tensor

Cites Work

• A concise proof of the representation theorem for linear isotropic tensor-valued mappings of a skew argument
• The representation theorem for isotropic, linear asymmetric stress-strain relations
• A naive proof of the representation theorem for isotropic, linear asymmetric stress-strain relations
• Some properties of the set of fourth-order tensors, with application to elasticity
• On the representation of symmetric isotropic 4-tensors
• A short proof of the representation theorem for isotropic, linear stress- strain relations
• On the representation of the elasticity tensor for isotropic materials
• On the representation theorem for linear, isotropic tensor functions
• An introduction to continuum mechanics
• An alternative proof of the representation theorem for isotropic, linear asymmetric stress-strain relations
• The representation theorem for linear, isotropic tensor functions in even dimensions

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