On the inversion of non symmetric sixth-order isotropic tensors and conditions of positiveness of third-order tensor valued quadratic functions

DOI10.1016/J.MECHRESCOM.2011.03.006zbMath1272.74052OpenAlexW1985537036MaRDI QIDQ366733

Guy Bonnet, Vincent Monchiet

Publication date: 13 September 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://hal-upec-upem.archives-ouvertes.fr/hal-00687815/file/Monchiet-Bonnet-MRC2011.pdf

zbMATH Keywords

isotropic tensorsmicrostructured mediasixth-order tensorsthird-order tensors

Mathematics Subject Classification ID

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

Related Items (2)

A micro-mechanics based strain gradient damage model: formulation and solution for the torsion of a cylindrical bar ⋮ Algebra of transversely isotropic sixth order tensors and solution to higher order inhomogeneity problems

Cites Work

• Isotropic tensor-valued polynomial function of second and third-order tensors
• Elastic materials with couple-stresses
• The role of strain gradients in the grain size effect for polycrystals.
• On the irreducibility of Professor G. F. Smith's representations for isotropic functions
• On first strain-gradient theories in linear elasticity
• Micro-structure in linear elasticity
• Inversion of higher order isotropic tensors with minor symmetries and solution of higher order heterogeneity problems

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