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Solute trapping in rapid solidification of a binary dilute system: a phase-field study.
P K Galenko1, E V Abramova, D Jou
1Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt, D-51170 Köln, Germany. peter.galenko@dlr.de
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 21, 2011
Summary
This study extends a phase-field model to rapid solidification, revealing that solute trapping and diffusionless solidification occur at a finite velocity. The findings are crucial for understanding materials processing under extreme conditions.
Area of Science:
- Materials Science
- Computational Physics
- Solidification Science
Background:
- The Echebarria, Folch, Karma, and Plapp phase-field model is a key tool for simulating solidification processes.
- Rapid solidification involves complex phenomena like local nonequilibrium in bulk phases and interfaces.
- Understanding solute trapping is critical for controlling material properties during rapid solidification.
Purpose of the Study:
- To extend the existing phase-field model to incorporate rapid solidification phenomena.
- To investigate the occurrence of local nonequilibrium effects.
- To analyze the process of solute trapping at high solidification velocities.
Main Methods:
- Extension of the Echebarria, Folch, Karma, and Plapp phase-field model.
- Development of a fully hyperbolic system of equations, including atomic diffusion and phase-field motion.
- Application of the model to simulate solute trapping during rapid solidification.
Main Results:
- The extended model accurately captures nonequilibrium phenomena during rapid solidification.
- The model predicts the onset of complete solute trapping at a specific finite velocity.
- Diffusionless solidification is shown to occur at a velocity equal to the bulk liquid diffusion speed.
Conclusions:
- The extended hyperbolic phase-field model provides a robust framework for studying rapid solidification.
- Complete solute trapping and diffusionless solidification are predicted to occur at a critical velocity.
- This work offers insights into the fundamental mechanisms governing solute behavior during high-speed material processing.
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