Modeling of Grain Growth Characteristics in Three-dimensional Domains and Two-dimensional Cross Sections

Yu, Q., Wu, Y. & Esche, S. K.
Metallurgical and Materials Transactions A, Vol. 36A, pp. 1661-1666, 2005.

Abstract

In the modeling of grain growth of isotropic, single-phase materials using 3D Monte Carlo (MC) Potts algorithm, the theoretically expected grain growth exponent was obtained only in the late simulation stages. This paper addresses the grain growth simulated by a modified MC Potts model using simple cubic lattices. The grain growth kinetics was analyzed both for the 3D domain and for 2D cross sections. Regression analyses of the grain size data averaged over time, multiple simulations runs and three cross sections showed that both the Louat function and the log-normal function can be fitted to the data. It was clearly observed that the log-normal function allows a better fit to the 3D simulation data while the Louat function is more suited to the cross section data. Furthermore, parabolic grain growth kinetics was obtained both for the 3D domain and for the cross sections, but the grain growth rates calculated for these cross sections were smaller than that obtained for the 3D domain.