Abstract
Physical model of shear strain rate produced by active micro—shear bands in metals is formulated and mathematical idealization of micro—shear bands system by means of the theory of singular surface of order one is proposed. Extension of the known averaging procedure over the representative volume element traversed by the strong discontinuity surface of a vortex sheet type is presented. Constitutive description of small elastic and large plastic deformations within the framework of two surface plasticity model with internal yield surface connected with kinematic hardening anisotropy and the external surface approximating the generic micro—shear banding surface is proposed. The idea of the multiple potential surfaces forming a vertex on the smooth external surface is applied to display the connection with the geometric pattern of micro—shear bands.
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