Neighborhood topological effect on grain topology-size relationship in three-dimensional polycrystalline microstructures  

作　　者：ASAD Ullah LIU GuoQuan WANG Hao MATIULLAH Khan DIL Faraz Khan M ZUBAIR Iqbal 

机构地区：[1]School of Materials Science and Engineering,University of Science and Technology Beijing [2]Department of Mathematics,Karakoram International University Gilgit-Baltistan [3]State Key Laboratory for Advanced Metals and Materials,University of Science and Technology Beijing [4]Department of Physics,University of Science and Technology Bannu [5]School of Applied Sciences,University of Science and Technology Beijing

出　　处：《Chinese Science Bulletin》2013年第30期3704-3708,共5页

基　　金：supported by the National Natural Science Foundation of China(51071019,50901008 and 50871017)

摘　　要：A new grain topology-size relationship in three-dimensional(3D)polycrystalline microstructures has recently been established by considering the effects of non-random first nearest neighbor grains.In this contribution,a generalized form for this relationship is presented by considering the interactions of kth(k=1,2,3…)nearest neighbor grains,and large scale Monte Carlo-Potts model simulation is used to investigate the general neighborhood topological effect on the topology-size relationship.The results show that,unlike their first nearest neighbors(k=1),the topological correlations of 3D grains with their kth layers(k 2)of nearest-neighbors may have trivial effect on the topology-size relationship.A new grain topology-size relationship in three-dimensional （3D） polycrystalline microstructures has recently been established by considering the effects of non-random first nearest neighbor grains. In this contribution, a generalized form for this relationship is presented by considering the interactions of kth （k= 1, 2, 3...） nearest neighbor grains, and large scale Monte Carlo-Potts model simulation is used to investigate the general neighborhood topological effect on the topology-size relationship. The results show that, unlike their first nearest neighbors （k=l）, the topological correlations of 3D grains with their kth layers （k≥2） of nearest-neighbors may have trivial effect on the topology-size relationship.

关 键 词：拓扑关系 微观结构 大小关系 邻居 多晶 三维 粮食 POTTS模型 

分 类 号：O73[理学—晶体学]