On the representation of symmetric tensor-valued isotropic functions

DOI10.1016/0020-7225(90)90080-3zbMath0718.73006OpenAlexW2075929801MaRDI QIDQ2639666

John Korsgaard

Publication date: 1990

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(90)90080-3

zbMATH Keywords

a priori lineargeneral scalar-valued isotropic functionminimal functional basis

Mathematics Subject Classification ID

Crystalline structure (74E15)

Related Items (2)

A physically motivated set of invariants and tensor generators in the case of transverse isotropy ⋮ “The Thing To Do” Implies “Can”

Cites Work

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• Material symmetry restrictions on non-polynomial constitutive equations
• A new representation theorem for isotropic functions: An answer to Professor G. F. Smith's criticism of my papers on representations for isotropic functions I: Scalar-valued isotropic functions
• A new representation theorem for isotropic functions: An answer to Professor G. F. Smith's criticism of my papers on representations for isotropic functions II: Vector-valued isotropic functions, symmetric tensor-valued isotropic functions, and skew-symmetric tensor-valued isotropic functions
• On representations for isotropic functions. I: Isotropic functions of symmetric tensors and vectors. II: Isotropic functions of skew-symmetric tensors, symmetric tensors, and vectors
• On the irreducibility of Professor G. F. Smith's representations for isotropic functions
• Material symmetry restrictions on constitutive equations
• On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
• On Irreducible Representations for Isotropic Scalar Functions

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