Remarks on isotropic extension of anisotropic constitutive functions via structural tensors

Abstract eng:
In their original formulation of the method of isotropic extension via structural tensors, which is meant for applications to the derivation of coordinate-free representation formulas for anisotropic constitutive functions, both Boehler and Liu started with the assumption (*) that the invariant group of structural tensors is the symmetry group that defines the anisotropy of the constitutive function in question. As a result, the method (with structural tensors of order not higher than two) is applicable only when the anisotropy is characterized by a cylindrical group or belongs to the triclinic, monoclinic, or rhombic crystal classes. In this talk we present a reformulation of the method in which assumption (*) is relaxed and show by examples in anisotropic linear and finite elasticity that the method of isotropic extension via structural tensors could be applicable beyond the original limitations.

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