Abstract
The main objective of the mathematical modeling of a shear plastic strain is estimation of the shear zone size. The paper is devoted to refinement of estimations of the shear zone size based on the model of dislocation interactions proposed by the authors. It is assumed that shear-forming dislocation loops, emitted by the dislocation source, are stopped by strong dislocation barriers that arise from the interaction of segments of expanding dislocation loops with reacting dislocations of non-coplanar slip systems. The formed barriers hinder further expansion of dislocation loops and, as a result, form the boundary of the shear zone. A refined estimation of the shear zone size has been obtained.
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