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Dynamic evolution of initial instability during non-steady-state growth.

Zhibo Dong1, Wenjian Zheng1, Yanhong Wei2

  • 1State Key Laboratory of Advanced Welding and Joining, Harbin Institute of Technology, Harbin, 150001, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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An analytic model accurately predicts initial instability during alloy solidification. This model, validated against phase-field simulations, highlights the crucial role of non-steady-state conditions and history in transient growth dynamics.

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Area of Science:

  • Materials Science
  • Solidification Physics
  • Computational Modeling

Background:

  • Directional solidification is crucial for alloy properties.
  • Understanding initial instability is key to controlling microstructure.
  • Transient conditions present challenges for existing models.

Purpose of the Study:

  • To develop and validate an analytic model for dynamic initial instability in alloys.
  • To investigate the influence of non-steady-state conditions on instability evolution.
  • To compare analytic predictions with quantitative phase-field simulations.

Main Methods:

  • Modification of the Warren and Langer theory.
  • Application of a quantitative phase-field model for directional solidification.
  • Simulation of dilute alloy solidification under transient conditions.

Main Results:

  • Analytic model shows excellent agreement with phase-field simulations for tip velocity and interface concentration.
  • The model accurately captures the linear growth stage of non-steady-state growth.
  • Initial instability is found to be strongly dependent on non-steady-state conditions and history.

Conclusions:

  • The modified analytic model serves as a convenient tool for studying initial instability.
  • Non-steady-state conditions and history are primary factors in transient growth.
  • These findings necessitate the consideration of transient growth dynamics in alloy solidification studies.