Integrity basis for a second-order and a fourth-order tensor

Integrity basis for a second-order and a fourth-order tensor

In this paper a scalar-valued isotropic tensor function is considered, the variables of which are constitutive tensors of orders two and four, for instance, characterizing the anisotropic properties of a material. Therefore, the system of irreducible invariants of a fourth-order tensor is constructe...

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Bibliographic Details
Main Author: Josef Betten
Format: Article
Language:English
Published: Hindawi Limited 1982-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
theory of algebraic invariants
integrity basis under a subgroup
isotropic tensor functions
representation-theory
irreducible basic and principal invariants of a fourth-order tensor
constitutive tensors
characteristic polynomial
alternation process
integrity basis for a tensor of order greater than four
bilinear operator
construction of simultaneous or joint invariants
Hamilton-Cayley's theorem
isotropic constitutive tensors.
Online Access:http://dx.doi.org/10.1155/S0161171282000088

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http://dx.doi.org/10.1155/S0161171282000088

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