Results of mathematical modeling of plastic strain superlocalization are presented with allowance for dislocation redistribution into dislocation walls. The model based on the concept of hardening and rest is used to construct equations describing kinetics of dislocations and substructure transformations. It is demonstrated that depending on the scenario of the strain model evolution in the microvolume of a deformable body, different types of localization are possible under the influence of stress concentrators.
The method of mathematical modeling has been used to study the processes of plastic deformation localization of layered metal-intermetallic composites under dynamic channel-angular pressing. The deformation patterns of single-phase intermetallic samples and layered composites samples with the different arrangement of layers relative to the compression axis have been compared. The calculated stress-strain curves have been obtained. Three-dimensional modeling has been carried out on the basis of an approach combining two methods for the plastic flow description through the kinetics of deformation defects storage and the solid state mechanics. The numerical solution of the model equations has been carried out by the finite element method.
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