Finite eulerian elastoplasticity without strain

In the last few decades a number of phenomenological models have been developed for describing elastoplastic materials undergoing finite deformations. They are different in structure, e.g., their formulation is related to the reference or to the actual configuration, i.e., it is a Lagrangean or Eulerian formulation or it may contain elastic and/or plastic deformations. This study has shown that the most simple and straightforward obtained constitutive relation is free from any notion of elastic or plastic deformation. Moreover, it is related to the actual configuration, and thus omits to the greatest possible extent, quantities containing unwanted geometric deformation informations.