This paper is concerned with the general constitutive aspects of finitely deforming rigid-viscoplastic materials. After a brief development of a partially active constraint appropriate for material response in a pre-plastic regime, quantitative results are presented in the context of basic formulation of spatial (or Eulerian) form of the various constitutive equations. This includes full discussion of the temporal continuity condition for the stress during transition from one type of material behaviour to another, the effect of internal constraints (which may be active only partially) on the stress response and the yield surface, as well as geometrical interpretation of the influence of the magnitude of the rate of deformation on the stress response. The nature of the latter rate effect is illustrated by a simple example utilizing a simplified constitutive equation for the stress.
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