The methods for designs of the localization of the plastic deformation on the macro- and mesolevels have been proposed. The model has been developed, the numerical algorithms and computer programs have been developed. The special features of generating and developing the localized plastic deformation in the structural-heterogeneous materials for different models of the media both taking internal non-compensated moments into consideration and according to the moment-free theory have been studied. The model taking the non-compensated internal moments into consideration has been realized, the processes of developing drift bands on the mesoscopic scale level have been modelled, the strong increase of the local turns and drifts in the field of the deformation localization and formation of the volumetric structural elements which can be deflected as the whole ones have been discoveredAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio