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Related Experiment Videos

Phase-field approach for faceted solidification.

Jean-Marc Debierre1, Alain Karma, Franck Celestini

  • 1Laboratoire Matériaux et Microélectronique de Provence (UMR 6137), Université d'Aix-Marseille III, Faculté des Sciences et Techniques de Saint-Jérôme, Case 151, 13397 Marseille 20, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
PubMed
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This study models faceted material solidification using an approximate gamma plot within the phase-field approach. Results align with experimental scaling laws for crystal growth, validating the model for predicting growth rates and facet lengths.

Area of Science:

  • Materials Science
  • Computational Physics
  • Solidification Science

Background:

  • Modeling the solidification of faceted materials presents challenges due to sharp crystallographic orientations.
  • Existing phase-field models often struggle to accurately represent the anisotropic surface energies associated with facets.

Purpose of the Study:

  • To extend the phase-field approach for modeling the solidification of faceted materials.
  • To develop a method that accurately captures the behavior of sharp cusps in the gamma plot.
  • To investigate the growth dynamics of faceted needle crystals.

Main Methods:

  • Utilized an approximate gamma plot with rounded cusps to represent faceted orientations.
  • Solved phase-field equations in the thin-interface limit with local equilibrium.

Related Experiment Videos

  • Studied the growth of faceted needle crystals as a function of undercooling and cusp amplitude.

    • Main Results:

    • Demonstrated convergence for equilibrium shapes.
    • Phase-field results for needle crystal growth are consistent with the experimental scaling law Lambda ~ V^(-1/2).
    • Growth rate (V) and facet length (Lambda) variations with cusp amplitude (delta) were predicted by an approximate analytical theory.

    Conclusions:

    • The extended phase-field approach accurately models faceted material solidification.
    • The model successfully reproduces key experimental observations in crystal growth.
    • The findings provide a robust computational tool for studying anisotropic solidification phenomena.