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采用Potts模型Monte Carlo方法对3种现存的三维个体晶粒长大速率拓扑依赖性方程进行了仿真验证.结果表明,Rivier速率方程认为晶粒体积变化率dV_f/dt与晶粒面数f成线性关系,与仿真结果明显不符,不适用于描述三维晶粒长大过程的动力学.当晶粒面数f(?)8时,Yu-Liu速率方程和MacPherson-Srolovitz速率方程均与仿真结果很好吻合,表明这两者均可以用来定量描述三维晶粒长大过程的动力学;当f<8时,这两个方程均与仿真结果有显著差异.
The Monte Carlo method of Potts model was used to simulate the three kinds of existing three-dimensional individual grain growth rate topological dependence equations. The results show that the Rivier velocity equation considers the rate of change of grain volume dV_f / dt linear with the grain number f , Which is not in accordance with the simulation results and is not suitable for describing the dynamics of the three-dimensional grain growth process.When the grain number f (?) 8, the Yu-Liu rate equation and the MacPherson-Srolovitz rate equation are in good agreement with the simulation results Good agreement indicates that both of them can be used to quantitatively describe the dynamics of the three-dimensional grain growth process. When f <8, the two equations are significantly different from the simulation results.