Comparative grain topology

Trevor Keller

doi:10.1016/j.actamat.2013.11.039

2014-03-01

PRE

DOI：10.1016/j.actamat.2013.11.039

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摘要

En 中文

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.

Keyword:

Computer simulation

Grain growth

Microstructure

Topology

Phase-field method

期刊

Acta Materialia

IF:

9.3

论文数:

2.0W

被引数:

12.9W

机构

university of pennsylvania

学者数:

9.2W

论文数: 7.8W

被引数: 153

rensselaer polytechnic institute

学者数:

7.0K

论文数: 6.5K

被引数: 6

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