ИСТИНА

The analysis of plastic deformation of solids, which plastic properties are not invariant to the type of loading, is performed on the base of plastic flow rule associated with the plasticity condition presented in the corresponding generalized form. The stress state parameter is introduced into the plasticity condition and the constitutive equations to describe the dependence of material properties on the type of external forces and the interrelation between irreversible volumetric and shear strains are obtained. On the base of rigid-plastic media model, the solutions of boundary value problems for tension of stripes with V-shape notches, stripes with circular holes, stripes with edge cuts having circular ends and some other problems are obtained for the conditions of plane strain and plane stress. The values of limit loads are determined, and the various kinematic admissible fields are studied.