The theory of media with conserved dislocations: general and applied theories of interface layer

This work presents the formulation and the proof of the theorems, establishing equivalence of gradient models and classical model of the non-uniform media, for models of media with fields of conserved dislocations. Tensor of moduli of the equivalent classical non-uniform media is presented in the form of obvious function of components of tensor of dislocation damaging and components of tensors of moduli, reflecting dislocation properties of media. It is shown, that the area, where the this tensor essentially depends on coordinates, is localized around of surfaces, lines and points of indignation. Such area is treatment as the interphase layer.