Monte Carlo大尺度仿真3D晶粒长大演变过程的研究

Study of 3D normal grain growth processes with large-scale Monte Carlo simulation

采用一种改进的Potts模型Monte Carlo算法进行了3003大尺度3D正常晶粒长大的仿真实验,仿真实验结果表明:3D晶粒长大仿真过程遵循抛物线长大规律,晶粒生长指数为0.5。当晶粒面数f≥8时,Yu-Liu拓扑学依赖速率理论方程和Hillert速率理论方程均与仿真实验结果很好地吻合,表明二者均可以用来描述3D晶粒长大过程的动力学;当晶粒面数f<8时,Yu-Liu拓扑学依赖速率理论方程和Hillert速率理论方程均与仿真实验结果有显著差异。晶粒的平均面数〈f〉随仿真时间的增加而增大,在准稳态长大阶段后期〈f〉趋于稳定数值。

Monte Carlo simulations were performed to investigate the kinetics of normal grain growth. The results show that the parabolic law in grain growth is observed and the simulation time exponent of grain growth n = 0. 501, which is very close to the theoretical value n = 0. 5. Yu-Liu growth rate equation and Hillert＇s growth rate equation fit the simulated data well in the case of the grain face number f 〉 8. The mean grain face number 〈f） increases with the increase of time,and in the late steady state period 〈f） approaches some steady value.