Irreducible decompositions of physical tensors of high orders

DOI10.1023/A:1004754832099zbMath0969.74009OpenAlexW107913349MaRDI QIDQ1573515

Quan-Shui Zheng, Wennan Zou

Publication date: 1 October 2001

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004754832099

zbMATH Keywords

elasticitytensor subspaceirreducible decompositionsdeviatoric tensorshigh-order tensorsphysical tensorrotation representation

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Elastic materials (74B99) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (12)

Orthogonal Irreducible Decompositions of Tensors of High Orders ⋮ Some general properties of Eshelby's tensor fields in transport phenomena and anti-plane elasticity ⋮ Crystallographic texture and group representations ⋮ A representation theorem for material tensors of weakly-textured polycrystals and its applications in elasticity ⋮ A review on octupolar tensors ⋮ A micro‐mechanically motivated phenomenological yield function for cubic crystal aggregates ⋮ Fabric tensor characterization of tensor-valued directional data: solution, accuracy, and symmetrization ⋮ Irreducible structure, symmetry and average of Eshelby's tensor fields in isotropic elasticity ⋮ Eshelby's problem of non-elliptical inclusions ⋮ Explicit harmonic structure of bidimensional linear strain-gradient elasticity ⋮ Solutions to Eshelby’s problems of non-elliptical thermal inclusions and cylindrical elastic inclusions of non-elliptical cross section ⋮ On the Cartesian definition of orientational order parameters

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