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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。
An improved Potts Monte Carlo algorithm was used to simulate the normal grain growth of 3003 large-scale 3D. The simulation results show that the 3D grain growth simulation follows the law of parabola growth and the grain growth index is 0.5. When the grain number f≥8, both the Yu-Liu Topological Dependent Rate Theory and the Hillert Rate Theoretical Equation are in good agreement with the simulation results, indicating that both can be used to describe the dynamics of the 3D grain growth process When the grain number f <8, both the Yu-Liu Topological Dependent Rate Theory and the Hillert Rate Theoretical Equations are significantly different from the simulation results. The average number of grains increases with the increase of simulation time, and tends to be steady at the later stage of quasi-steady state growth.