Microstructural characterization of dendritic evolution using two-point statistics

Kate L.M. Elder, Tiberiu Stan, Yue Sun, Xianghui Xiao, Peter W. Voorhees*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Characterizing large four-dimensional materials datasets is difficult due to the presence of complex microstructures and time-varying length scales. We showcase the use of two-point statistics as an efficient and un-biased way of extracting materials parameters from an Al-Cu alloy during solidification. The evolution of dendrite primary arm thickness, average secondary arm spacing, and average tip-to-tip spacing were tracked using two-point Pearson auto-correlations of scaled mean curvatures. Insights into competitive side-branching are also reported. We show both visually and quantitatively that most length scales change rapidly during early stages of dendritic growth, but slow as diffusion fields of dendrites overlap.

Original languageEnglish (US)
Pages (from-to)81-85
Number of pages5
JournalScripta Materialia
StatePublished - Jun 2020


  • Aluminum alloys
  • Dendritic growth
  • Solidification microstructure
  • Three-dimensional tomography
  • Two-point statistics

ASJC Scopus subject areas

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

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