A note on grain topology-size relationship of three-dimensional polycrystalline microstructures
A note on grain topology-size relationship of three-dimensional polycrystalline microstructures
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DOI：
10.1209/0295-5075/99/28001
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发表时间：
2012-07
期刊：
影响因子：
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通讯作者：
J. Luan;G. Liu;H. Wang;A. Ullah
中科院分区：
文献类型：
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作者：
J. Luan;G. Liu;H. Wang;A. Ullah
通过考虑最近邻晶粒间的相互作用，提出了三维晶粒的晶粒拓扑尺寸方程，表明给定拓扑类的平均晶粒尺寸由晶粒面数与最近邻晶粒平均面数之差决定.此外，还提出了一个实用的晶粒拓扑尺寸方程。这两个方程与各种实验结果吻合良好。并通过大尺度Potts模型MonteCarlo模拟和Surface Evolver模拟数据进行了验证。
A grain topology-size equation for three-dimensional grains is suggested by considering the interactions of the nearest-neighbor grains, which indicates that the average grain size of a given topological class is determined by the difference between the grain face number and the average face number of nearest neighbors. In addition, a practical grain topology-size equation is presented. The two equations show good agreement with various experimental results. They are also verified by data of large-scale Potts model Monte Carlo simulation and Surface Evolver simulation.