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Quantitative phase-field model of alloy solidification.

Blas Echebarria1, Roger Folch, Alain Karma

  • 1Physics Department and Center for Interdisciplinary Research on Complex Systems, Northeastern University, Boston, Massachusetts 02115, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 9, 2005
PubMed
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We developed a new phase-field model for simulating alloy solidification patterns. It accurately captures microstructural formation by including an "antitrapping" solute current, improving simulations of directional solidification.

Area of Science:

  • Materials Science
  • Computational Materials Science
  • Solidification Science

Background:

  • Simulating microstructural pattern formation in alloys requires accurate models for directional solidification.
  • Existing phase-field models struggle with solute trapping effects at mesoscopic interface thicknesses.
  • Phenomenological corrections are needed to balance physical and numerical artifacts in simulations.

Purpose of the Study:

  • To present a refined phase-field model for low-speed directional solidification of dilute binary alloys.
  • To accurately simulate microstructural pattern formation by addressing solute trapping.
  • To provide a model capable of suppressing spurious effects arising from mesoscopic interface thickness.

Main Methods:

  • Detailed derivation and thin interface analysis of a novel phase-field model.

Related Experiment Videos

  • Incorporation of a phenomenological "antitrapping" solute current into the mass conservation equation.
  • Application of the model to calculate the Mullins-Sekerka stability spectrum and nonlinear cellular shapes.

    • Main Results:

    • The enhanced phase-field model accurately simulates microstructural pattern formation.
    • The antitrapping current effectively counterbalances artificial solute trapping effects.
    • The model accurately predicts the Mullins-Sekerka stability spectrum and nonlinear cellular patterns for realistic alloy parameters.

    Conclusions:

    • The developed phase-field model offers improved accuracy for simulating alloy solidification.
    • The antitrapping current is crucial for mitigating numerical artifacts in mesoscopic simulations.
    • This model enables precise prediction of microstructural evolution under various growth conditions.