Linear measures for polyhedral networks
Linear measures for polyhedral networks
复制标题
多面体网络的线性测量
DOI：
--
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
D. Lewis
中科院分区：
文献类型：
--
作者：
M. Glicksman;P. R. Rios;D. Lewis
线性测量，包括平均直径和平均宽度，能够将多面体晶粒的几何特性，包括它们的边界面积、体积和表面曲率相关联。这些措施也允许预测曲率介导的晶粒生长速率，并提供动力学行为，晶粒尺寸和形状之间的重要联系。线性测度可以通过一组特殊的正则多面体（称为平均n面体）来精确地计算空间填充网络颗粒的拓扑表示。这些计算得出了线性测量与多面体几何特性和生长动力学的精确比较，这些线性测量是经过良好退火的多晶材料经受正常晶粒生长的结果。
Abstract Linear measures, including the average caliper, and mean width, are capable of correlating the geometric properties of polyhedral grains, including their boundary areas, volumes, and face curvatures. These measures also permit prediction of curvature-mediated grain growth rates and provide an important connection between kinetic behavior, grain size, and shape. Linear measures can be calculated exactly by using a topological representation of space-filling network grains via a special set of regular polyhedra, termed average N-hedra. These calculations yield exact comparisons of linear measures with polyhedral geometric properties and growth kinetics of well-annealed polycrystalline materials subjected to normal grain growth.