Abstract

Within the framework of a version of the theory of plasticity based on the concept of sliding, we consider the development of deformation for three types of loading paths: rectilinear, stepwise, and saw-tooth, located inside a strip of small width (2h). It is shown that, in the case of contraction of this strip into a rectilinear path, the strains formed for the indicated types of loading coincide in the limit as h → 0. This completely agrees with the experimental data and contradicts the conclusions made by Klyushnikov (Physical and Mathematical Foundations of Strength and Plasticity, Moscow State University, Moscow, 1994). It is also shown that Klyushnikov's assertions concerning the differential nonpotentiality of the constitutive equations of the theory of plasticity taking into account the mutual influence of the mechanisms of inelastic deformation are incorrect.

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