Abstract
The primary object of this paper is to examine the mathematical consistency and implications of the later developments of the endochronic theory of plasticity put forward by Valanis. It is thereby demonstrated that the constitutive equations of that theory which, according to that author, predict elastic material behaviour prior to yielding and permit to deduce the existence of a yield surface, are actually incompatible with the constitutive equations used as the starting point of the theory. These results prove, furthermore, that the thermodynamic basis chosen for the theory, here discussed, is inadequate for its later developments, since it is shown to lead to an inconsistency.
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