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Eutectic colony formation: a phase-field study.

Mathis Plapp1, Alain Karma

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 7, 2003
PubMed
Summary
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Eutectic colonies form in ternary alloys due to morphological instability during solidification. Phase-field simulations reveal deviations from theoretical predictions, impacting stability and showing dynamic colony evolution.

Area of Science:

  • Materials Science
  • Solidification Physics
  • Computational Materials Science

Background:

  • Eutectic two-phase cells (eutectic colonies) form in ternary alloys near binary eutectic valleys.
  • Colony formation arises from morphological instability of the planar solidification front.
  • This instability is driven by a ternary impurity rejected by both solid phases.

Purpose of the Study:

  • To develop and utilize a phase-field model for a binary eutectic with a ternary impurity.
  • To investigate the linear and nonlinear regimes of instability leading to colony formation.
  • To compare simulation results with linear stability analysis and understand colony dynamics.

Main Methods:

  • Development of a phase-field model for binary eutectic solidification with a ternary impurity.

Related Experiment Videos

  • Dynamical simulations to study linear and nonlinear interface evolution.
  • Comparison of simulation results with linear stability analysis.

    • Main Results:

    • Simulations show good agreement with linear stability analysis predicting front destabilization by long-wavelength modes.
    • A weak violation of Cahn's assumption (lamellae growth perpendicular to the front envelope) was observed, impacting stability properties.
    • Fully developed colonies exhibit dynamic behavior, including cell elimination and tip-splitting, without reaching a steady state.

    Conclusions:

    • The phase-field model accurately captures eutectic colony formation and dynamics.
    • Deviations from theoretical assumptions, though weak, significantly influence eutectic front stability.
    • The dynamic nature of colony envelopes suggests complex evolution processes in ternary alloy solidification.