Algebra of transversely isotropic sixth order tensors and solution to higher order inhomogeneity problems

DOI10.1007/s10659-012-9387-0zbMath1259.15039OpenAlexW2055094829MaRDI QIDQ1937970

Vincent Monchiet, Guy Bonnet

Publication date: 1 February 2013

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

Full work available at URL: https://hal-upec-upem.archives-ouvertes.fr/hal-00734420/file/MonchietBonnetJE2011.pdf

zbMATH Keywords

anisotropycylindrical inclusionsinhomogeneity problemirreducible basissixth order tensor

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Inhomogeneity in solid mechanics (74E05) Explicit solutions of equilibrium problems in solid mechanics (74G05) Canonical forms, reductions, classification (15A21)

Related Items (3)

Crack opening displacements under remote stress gradient: derivation with a canonical basis of sixth order tensors ⋮ On the isotropic moduli of 2D strain-gradient elasticity ⋮ On the algebraic structure of isotropic generalized elasticity theories

Cites Work

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