Abstract

Theoretical description of large plastic deformations accounting for the effects of kinematic hardening and shear banding is proposed. Macroscopic measure of the rate of plastic deformation produced by micro-shear banding is derived and the idea of multiple potential surfaces forming a vertex on the smooth extremal surface is applied to display the connection with the geometric pattern of micro-shear bands. New form of non-associated flow law is studied and the perspectives of possible aplications of the theory are discussed.

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