Quantitative phase field simulation of deep cells in directional solidification of an alloy

C. W. Lan*, C. J. Shih, M. H. Lee

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)


The formation of deep cells after the onset of Mullins-Sekerka instability during the thin-film directional solidification of a succinonitrile/acetone alloy has been simulated quantitatively by phase field modeling. The solute trapping introduced by the diffusive interface is corrected by a simple interface model, so that at the interface the equilibrium segregation is restored and the Gibbs-Thompson relation is satisfied. With the increasing pulling speed, the transitions from planar to λc/2 shallow cells, smaller wavelength finite-depth cells, and deep cells are clearly illustrated. The formation of deep cells with change of overall morphologies is performed, and its wavelength transition is consistent with the reported experiments. Furthermore, during the development of a cellular pattern starting from a planar interface, the crossover wavelength under different solidification speeds, where the deformation is comparable to the wavelength, agrees reasonably well with the Warren-Langer theory.

Original languageEnglish
Pages (from-to)2285-2294
Number of pages10
JournalActa Materialia
Issue number8
Publication statusPublished - 2005 May
Externally publishedYes


  • Deep cells
  • Directional solidification
  • Morphological instability
  • Phase field simulation

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Polymers and Plastics
  • Metals and Alloys


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