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采用Potts模型MonteCarlo方法研究了晶粒棱长、尺寸与拓扑学特征之间的统计关系.结果表明,晶粒棱长与晶粒面数之间呈线性统计关系,并且平均N面体晶粒模型和Poisson-Voronoi组织均支持该结论.不同时刻的晶粒长大仿真数据表明,在准稳态晶粒长大阶段晶粒棱长的分布具有自相似性.个体晶粒的平均棱长随晶粒面数(或晶粒尺寸)的增加而逐渐增大,这说明一些理论模型中采用的“不同面数的晶粒平均棱长均相等”的假设具有局限性.仿真数据和纯铁实验数据均表明,晶粒尺寸与晶粒面数之间的统计关系表现为一条单调递增的凸曲线.
The Monte Carlo method of Potts model was used to study the relationship between the grain length, size and topological features.The results showed that there was a linear statistical relationship between the grain length and grain number, and the average grain size and This conclusion is supported by the Poisson-Voronoi organization.The simulation data of the grain growth at different time points show that the distribution of the edge length of the grains in the quasi-steady-state grain growth phase is self-similar.The average grain length of individual grains varies with the grain size (Or grain size) increase, which shows that some theoretical models have the limitation that the assumption of “average grain length of different number of faces is equal”. The simulation data and pure iron experiment The data show that the statistical relationship between grain size and grain number appears as a monotone increasing convex curve.