Implementation of Exact Grain-Boundary Geometry Into a 3D Monte-Carlo (POTTS) Model for Microstructure Evolution (Preprint)

摘要

A three-dimensional Monte-Carlo (Potts) model was modified to incorporate the effect of grain-boundary inclination on boundary mobility. For this purpose, a straightforward geometric construction was developed to determine the local orientation of the grain-boundary plane. The combined effects of grain-boundary mobility were incorporated into the Monte-Carlo code using the definition of the tilt-twist component (TTC). The modified code was validated by simulating grain growth in microstructures comprising equiaxed or elongated grains as well as the static recrystallization of a microstructure of deformed (elongated) grains.