Comparative grain topology
Comparative grain topology
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DOI：
10.1016/j.actamat.2013.11.039
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发表时间：
2014-03-01
期刊：
影响因子：
9.4
通讯作者：
Lewis, Daniel J.
中科院分区：
文献类型：
--
作者：
Keller, Trevor;Cutler, Barbara;Lewis, Daniel J.
填充空间的多面体网络通常在生物、物理和数学学科中被研究。在每种情况下，控制每个网络构建的约束条件有很大的不同，从而影响组件的拓扑属性。提出了一种多面体空间填充种群相对于所有可能多面体的拓扑对称性的映射方法。这种方法被应用于七种不同过程产生的布居的拓扑比较：(I)多晶金属中的自然晶体生长，(Ii)界面跟踪和(Iii)相场方法模拟的理想晶体生长，(Iv)Poisson Voronoi和(V)椭球网格，以及(Vi)图论和(Vii)单个多面体的蒙特卡罗计数。讨论了这些群体中存在拓扑偏见的证据。(C)2013 Acta Materialia Inc.由Elsevier Ltd.出版。保留所有权利。
Space-filling polyhedral networks are commonly studied in biological, physical, and mathematical disciplines. The constraints governing the construction of each network varies considerably under each context, affecting the topological properties of the constituents. A method for mapping the topological symmetry of a space-filling population of polyhedra is presented, relative to all possible polyhedra. This method is applied to the topological comparison of populations generated by seven different processes: (i) natural grain growth in polycrystalline metal, ideal grain growth simulated by (ii) interface-tracking and (iii) phase-field methods, (iv) Poisson Voronoi and (v) ellipsoid tessellations, and (vi) graph-theoretic and (vii) Monte Carlo enumerations of individual polyhedra. Evidence for topological bias in these populations is discussed. (C) 2013 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.