a crack, a destruction, an elasto-plastic model, a hardening.

The possibility of the description elastic and elasto-plastic stages of a formation process is considered up to the beginning of division of a body weakened by a crack in the form of a physical cut. The layer of the material lying on mental continuation of a physical cut in the continuous environment is included in a crack model also. In a loading process of the bodies the existence of a plastic area within the limits of the given layer is supposed possible. For the description of a material behaviour at transition in the plastic area the variant of the deformation theory is used, thus volume change remains linearly elastic. The process of the elasto-plastic deformations is necessary beam, the directing tensor of the stress deviator in each point of a layer is fixed by its value, reached at the moment of transition from an elastic stage in elasto-plastic one. The given assumption has allowed to reduce a problem to. Dependences of a component of the pressure of a layer and external disjoining forces from the length of a plastic area of a layer are received.