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

Josef Betten

International Journal of Mathematics and Mathematical Sciences, 1982, vol. 5, 1-10

Abstract:

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 constructed. Furthermore, the joint or simultaneous invariants of a second-order and a fourth-order tensor are found. In a similar way one can construct an integrity basis for a tensor of order greater than four, as shown in the paper, for instance, for a tensor of order six.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:354081

DOI: 10.1155/S0161171282000088

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