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Related Experiment Videos

Eutectic colony formation: a stability analysis.

M Plapp1, A Karma

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

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
Summary
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Ternary impurities destabilize eutectic solidification fronts, forming large-scale oscillatory microstructures. This study extends stability analysis to predict these complex eutectic colony formations and their dynamics.

Area of Science:

  • Materials Science
  • Solidification Physics
  • Thermodynamics

Background:

  • Steady-state lamellar eutectic solidification fronts can become unstable.
  • Ternary impurities, when rejected, lead to the formation of two-phase cells known as eutectic colonies.
  • Previous stability analyses did not fully account for ternary impurity effects.

Purpose of the Study:

  • To extend the stability analysis of binary eutectic solidification to include the effects of a dilute ternary impurity.
  • To investigate the formation of large-scale oscillatory microstructures and their underlying dynamics.
  • To formulate eutectic front dynamics as an effective monophase interface problem.

Main Methods:

  • Extending the stability analysis of Datye and Langer for binary eutectics.

Related Experiment Videos

  • Analyzing the critical onset velocity and morphological instability wavelength.
  • Investigating oscillatory modes and transient regime dynamics.
  • Formulating eutectic front dynamics as an effective monophase interface free boundary problem.

    • Main Results:

    • Expressions for critical velocity and instability wavelength are analogous to Mullins-Sekerka, with an effective surface tension dependent on lamellar geometry and interlamellar diffusion.
    • New oscillatory modes arise from ternary impurity effects and feedback from local spacing changes.
    • Transient regimes lead to large-scale oscillatory microstructures, supported by recent experimental evidence.
    • Eutectic front dynamics can be modeled as an effective monophase interface problem with a modified Gibbs-Thomson condition.

    Conclusions:

    • Ternary impurities significantly influence eutectic solidification morphology, leading to colony formation and oscillatory instabilities.
    • The study provides a framework for understanding and predicting complex eutectic microstructures.
    • The effective monophase interface formulation offers physical insights and a simplified approach to stability analysis.