A stochastic model of grain size distribution during dynamic recrystallization

Abstract

The grain size distribution (GSD) during dynamic recrystallization was investigated by a simple nucleation-and-growth model. The steady-state GSD is represented by a sum of a series of lognormal distributions, and is characterized by an asymmetric bell-shaped curve in a logarithmic frequency diagram. The distributions of one- and two-dimensional grain size (i.e. length of linear intercept and diameter of intersection area, respectively) are similar to those of the lognormal distribution. The average grain size varies with the ratio of nucleation rate and growth rate, but is hardly affected by the size of nuclei.