On the sampling of three‐dimensional polycrystalline microstructures for distribution determination
On the sampling of three‐dimensional polycrystalline microstructures for distribution determination
复制标题
DOI：
10.1111/j.1365-2818.2011.03531.x
复制
发表时间：
2011-11
影响因子：
2
通讯作者：
J. Luan;G. Liu;H. Wang;Asad Ullah
中科院分区：
文献类型：
--
作者：
J. Luan;G. Liu;H. Wang;Asad Ullah
如何对三维微结构进行采样并有效减小实验误差是一个具有挑战性的问题。以400×400×400 Potts Monte Carlo模拟生成的7种单相多晶组织为研究对象，研究了取样策略对晶粒尺寸分布和晶粒拓扑分布各特征参数确定的影响。三维模拟微观结构中单个晶粒的平均体素值（或体积）从4.56×104到1.0×103不等，结构中包含的晶粒数量从63901到1403不等。结果表明，最少取样200粒，可保证测定平均粒体积、平均粒面数以及粒度分布和粒面数分布的方差系数的相对误差小于5%。而对于粒度分布或颗粒面数分布的偏度和峰度系数，对于相同的误差水平，至少需要800个采样颗粒。但当出现异常大颗粒时，如大于平均颗粒体积的8倍或大于平均颗粒面数的3倍，即使检测颗粒数超过1000个，也会导致这两个参数的异常值。
How to sample three‐dimensional microstructure and effectively reduce experimental error is a challenging problem. Taking seven single‐phase polycrystalline structures generated by 400×400×400 Potts Monte Carlo simulation as the study object, effects of sampling strategy on the determination of various characteristic parameters of the grain size distribution and grain topology distribution are studied. The mean voxel value (or volume) of individual grains in the three‐dimensional simulated microstructure varies from 4.56×104 to 1.0×103, and the number of grains contained in the structure varies from 63 901 to 1403. The results show that, a minimum of 200 sampled grains can ensure the relative error to be less than 5% for determination of the mean grain volume, the mean grain face number and the coefficient of variance of the distribution of grain size and the grain face number. Whereas for the coefficient of the skewness and the kurtosis of grain size distribution or grain face number distribution, a minimum of 800 sampled grains are required for the same error level. However, if some exceptional big grains appear, e.g. a grain larger than with eight multiples of mean grain volume and/or three multiples of mean grain face number, abnormal values of the two parameters would be resulted, even the number of examined grains is over 1000.