Statistical nature of plastic deformation

General physical representations on plastic deformation as a process involving the formation of dislocation ensembles (DEs) are used to determine the dependence of the plastic deformation of a local volume on the acting stress and the number of DEs. A structural model is proposed to describe the nonuniform distribution of plastic strains in local volumes. It is shown that the dispersion of the strains (the strength reduction factor) is determined by the product of the stresses averaged over the macrovolume and the plastic strain.Translated from Problemy Prochnosti, No. 4, pp. 99–108, April, 1996.