Representations for Isotropic and Anisotropic Non-Polynomial Tensor Functions

Abstract

Material symmetries of a continuum impose definite restrictions on the form of constitutive relations. The restrictions are specified in the representations of isotropic and anisotropic tensor functions and indi­cate the type and the number of independent variables involved in a cons­titutive relation. Thus, in a properly written constitutive equation, the material symmetries are automatically verified.