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

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8 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)178-182
Number of pages5
JournalMaterials Characterization
Publication statusPublished - 2014 Nov


  • Aboav-Weaire law
  • Characterization
  • Lewis law
  • Perimeter law
  • Topological properties

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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