MONTE-CARLO STUDY OF ANGULAR AND EDGE LENGTH DISTRIBUTIONS IN A 3-DIMENSIONAL POISSON-VOROMOI TESSELATION

被引:23
作者
KUMAR, S
KURTZ, SK
机构
[1] Materials Research Laboratory, The Pennsylvania State University, University Park
[2] Electrical and Computer Engineering, The Pennsylvania State University, University Park
关键词
D O I
10.1016/1044-5803(94)00046-N
中图分类号
T [工业技术];
学科分类号
08 [工学];
摘要
Several hundred thousand three-dimensional Poisson-Voronoi cells have been simulated to study accurately the distributions of the dihedral angles (angles between adjacent faces), bond angles (angles between adjacent edges), total edge length of a face and total edge length of a cell. The mean values of the dihedral angle and the bond angle are found to be very close to those required by the equilibrium surface tension criterion for the polycrystalline grains. A two-parameter gamma distribution can be used to describe the total edge length distribution of a cell. For a sample size of less than few thousand cells, a two-parameter lognormal distribution can also be used to describe the total edge length distribution of the cell.
引用
收藏
页码:15 / 27
页数:13
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