Abstract
The paper is concerned with the structure of the constitutive equations of either an elastic-plastic or an elastic-viscoplastic medium in a finite transformation. As the plastic deformation results from discontinuities of either displacements or rotations between the oriented microelements, some hidden director vectors must be introduced, or equivalently internal hidden variables and a hidden orthonormal triad, the director frame.In order to decompose the thermoelastic-viscoplastic transformation, a relaxed (or intermediate) configuration is used. An important feature of the theory is that, except in the case ofisotropy in the relaxed configurations, the constitutive equations contain not only the stretching tensor, but also the spin relative to the director frame.
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