Characterizing the local primary dendrite arm spacing in directionally solidified dendritic microstructures

Mark A. Tschopp, Jon D. Miller, Andrew L. Oppedal, Kiran Solanki

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


Characterizing the spacing of primary dendrite arms in directionally solidified microstructures is an important step for developing process-structure-property relationships by enabling the quantification of (i) the influence of processing on microstructure and (ii) the influence of microstructure on properties. In this work, we utilized a new Voronoi-based approach for spatial point pattern analysis that was applied to an experimental dendritic microstructure. This technique utilizes a Voronoi tessellation of space surrounding the dendrite cores to determine nearest neighbors and the local primary dendrite arm spacing. In addition, we compared this technique to a recent distance-based technique and a modification to this using Voronoi tessellations. Moreover, a convex hull-based technique was used to include edge effects for such techniques, which can be important for thin specimens. These methods were used to quantify the distribution of local primary dendrite arm spacings, their spatial distribution, and their correlation with interdendritic eutectic particles for an experimental directionally solidified Ni-based superalloy micrograph. This can be an important step for correlating processing and properties in directionally solidified dendritic microstructures.

Original languageEnglish (US)
Pages (from-to)426-437
Number of pages12
JournalMetallurgical and Materials Transactions A: Physical Metallurgy and Materials Science
Issue number1
StatePublished - Jan 2014

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Metals and Alloys


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