Topological correlations of grain faces in polycrystal with experimental verification

被引：2
|
作者：
Li, Wenwen [1 ]
Liu, Guoquan [1 ,2 ]
Wang, Hao [1 ]
Zhang, Hao [3 ]
Luan, Junhua [1 ,4 ]
Ullah, Asad [1 ,5 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Mat Sci & Engn, Beijing 100083, Peoples R China
[2] Univ Sci & Technol Beijing, State Key Lab Adv Met & Mat, Beijing 100083, Peoples R China
[3] Univ Alberta, Dept Chem & Mat Engn, Edmonton, AB T6G 2V4, Canada
[4] City Univ Hong Kong, Dept Mech & Biomed Engn, Ctr Adv Struct Mat, Hong Kong 999077, Hong Kong, Peoples R China
[5] Karakoram Int Univ Gilgit Baltistan, Dept Math, Gilgit 15100, Pakistan
来源：
EPL | 2013年 / 104卷 / 05期
基金：
国家高技术研究发展计划(863计划); 中国国家自然科学基金;
关键词：
COMPUTER-SIMULATION; GROWTH; EVOLUTION; KINETICS; SECTION;
D O I：
10.1209/0295-5075/104/56006
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
How grain faces are arranged in three-dimensional grain structures is one of the outstanding problems in physics, biology and materials science. Based on the topological analysis of 477 real pure iron grains and 6093 Monte Carlo simulated grains, two forms of topological correlations are studied. The first correlation is Rivier's relation (Philos. Mag. B, 52 (1985) 795), in which the average number of edges M-f(e) of faces neighboring to e-edged faces on f-faceted grains is related to e and f; and the second correlation is the one derived in the current paper, in which a typical e-edged face in a polycrystal is a function of the average number of edges of its neighboring faces M(e). Both correlations are verified by experimental and simulation data. Copyright (C) EPLA, 2013
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页数：4
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