Abstract

In this paper some possible ways of representing constitutive equations involving (initial) anisotropy of the material (e.g. from rolling) and involving anisotropic creep-damage are dealt with. The formulations of such equations are based upon theorems concerning tensor-valued functions. Furthermore, some simplified constitutive equations for more practical use are discussed.The paper is devided into two parts. The main problem of the first part is: to find an irreducible set of tensor generators in order to formulate constitutive equations. Besides this problem it is very important to determine the scalar coefficients in constitutive equations as functions of irreducible invariants and experimental data. The second part of the paper is concerned with the determination of these scalar functions. This can be done by using tensorial interpolation methods as pointed out in detail.

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