人们早已开始注意到金属晶粒越大则其拓扑构形越趋复杂.Williams 和 Smith 发现直径较大的 Al-Sn 合金晶粒具有较多的界面,Okazaki 和 Conrad 也定性地指出了 a-Ti 晶粒的 Euler 指数随晶粒尺寸增大而增大。在研究高纯度 Al 晶粒组织时,Rhines 和 Patterson 发现,在双对数坐标系中晶粒体积(重量)与晶粒界面数近似呈一条直线。近年来的实验研究进一步表明,金属晶粒的界面数与晶粒空间直径之间存在着线性函数关系.本文则将在作者前段 It has long been noticed that the larger the metal grains, the more complex its topological configuration.Williams and Smith found that Al-Sn alloy grains with larger diameters have more interfaces and Okazaki and Conrad also qualitatively pointed out that a-Ti The Euler index of the grains increases with the grain size. In the study of high-purity Al grain structure, Rhines and Patterson found that the grain size (weight) and the number of grain boundaries approximately linear in a logarithmic coordinate system. In recent years, experimental studies further show that there is a linear relationship between the number of metal grains and the grain diameter of the grain.This article will be in front of the author