Modeling of 3D Grain Growth with a Modified Monte Carlo Algorithm

Yu, Q. & Esche, S. K.
Proceedings of the Materials Science and Technology Conference 2003, Chicago, Illinois, USA, November 9 - 12, 2003.

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 model using 200 x 200 x 200 cubic lattices. The grain growth kinetics is analyzed both for the 3D domain and for 2D cross-sections. The 3D grain growth exponent obtained is found to be in agreement with theoretical predictions for the entire time domain. While the parabolic grain growth kinetics is also obtained for the cross-sections, the grain growth rates calculated for these cross-sections are smaller than that obtained for the 3D domain. A time-invariant grain size distribution is obtained both for the 3D domain and the cross-sections.