AN EXACT 3D VON NEUMANN RELATION FOR INDIVIDUAL CONVEX POLYHEDRON GRAINS
AN EXACT 3D VON NEUMANN RELATION FOR INDIVIDUAL CONVEX POLYHEDRON GRAINS
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单个凸多面体晶粒的精确 3D 冯诺依曼关系
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
Wang Hao
中科院分区：
文献类型：
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作者：
Liu Guoquan;Wang Hao
基于颗粒生长的毛细驱动性质，用一种比MacPherson和Srolovitz的方法更简单的方法得到了凸多面体颗粒的三维von Neu-Mann关系式，它不依赖于任何关于颗粒尺寸分布、拓扑分布或颗粒形状的附加假设。结果表明，凸多面体颗粒的三维生长速率与两个一维量有关，即颗粒的平均直径和其边缘的长度之和，这与Kinderlehrer指出的n维体积的变化率与该细胞的(n-2)维特征有关而不与其他特征有关的性质是一致的。
Based on the capillarity-driven nature of the grain growth,the exact 3D von Neu- mann relation for a convex polyhedron grain was obtained in a simpler method than that reported by MacPherson and Srolovitz,which is independent of any additional assumptions concerning any grain size distribution,topology distribution or grain shape.It is shown that the 3D growth rate of a convex polyhedron grain is related to two one-dimensionai quantities,the grain's mean caliper diameter and the sum of the length of its edges,which agrees with the property pointed by Kinderlehrer that the rate of change of n-dimensionai volume is related to(n-2)-dimensionai features of the cell and no others.