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Long-range topological correlations of real polycrystalline grains in two dimensions

journal contribution
posted on 2023-10-25, 23:23 authored by H Wang, G Liu, Y Chen, A Saengdeejing, H Miura, K Suzuki
The topological and geometric properties of real polycrystalline grains in two dimensions are investigated on the basis of a large dataset (14,810 grains). The distribution of grain edges, the grain topology-size relationship and the short- and long-range topological correlations between neighboring grains are characterized quantitatively. The results show a strong short-range topological correlation between a center grain and its first nearest neighbors, and a trivial long-range topological correlation beyond the first nearest neighbors (on average). Both the short- and long-range relations are well described by a generalized Aboav-Weaire law reported recently. Meanwhile, it is the perimeter law, rather than the Lewis law, that describes appropriately the relationship between the topology and geometry of metallurgical grains.

History

Journal

Materials characterization

Volume

97

Pagination

178 - 182

Location

Amsterdam, The Netherlands

ISSN

1044-5803

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2014, Elsevier Inc.