Small elastic strains in finite elasto-plastic materials with continuously distributed dislocations

In this paper we propose a macroscopic model for elastoplastic materials with continuously distributed dislocations, when we restrict to small elastic strains, but the elastic rotations and plastic distorsions remain large. The material is not homogeneous and it behaves like an elastic material element with respect to non-holonomic configuration. The elastic curvature tensor vanishes. Consequently to complete the definition of the mathematical model it is sufficient to prescribe the evolution equation for the plastic distorsion (i.e. for time-dependent non-holonomic configuration), as well as the for the internal variables.