Forma, Vol. 13 (No. 1), pp. 1-11, 1998
Original Paper

Lognormality in Crystal Size Distribution in Dynamic Recrystallization

Ichiko Shimizu

Institute of Geology, Faculty of Science, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan

(Received February 22, 1997; Accepted September 10, 1997)

Keywords: Grain Size Distribution, Lognormal Distribution, Recrystallization

Abstract. The grain size evolution during dynamic recrystallization is investigated by a continuous nucleation-and-growth model. It is shown that the probability density function of the volume v(t ) of a crystal of age t becomes lognormal, sinv is determined by a chain of independent stochastic events of nucleation. The crystal size distribution in a material is obtained as a sum of a series of lognormal distributions.