Abstract

The general form of the relationships between two symmetric coaxial tensors of second rank in an isotropic medium is considered. The condition under which the simple tensor linear form of these relationships, which includes the Lode's angle, can be used is determined. The range of validity of the proposed relationships is studied by means of Drucker's stability postulate and the existence and uniqueness conditions of the generalised solution of the problems. The applications that are built on the proposed form of the constitutive relationships, that cover creep, plastic, and behaviour are given briefly.

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