It was noted that the density distribution of dislocations in corrosion-resistant steels depended upon the type of functional relationship between the yield strength and the dislocation density. For a linear model of hardening, it was a normal distribution. For a parabolic model, it was a Weibull-type law with a singularity in the region of low dislocation density. The distributions which were obtained for high values of dislocation density were insignificantly different.

Probabilistic Distributions of the Density of Dislocations in Steel. V.Y.Olshanetskyi, I.Y.Nahorna: Materials Science, 2003, 39[5], 721-6