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Phase-field study of solute trapping effect in rapid solidification

Pages: 457 - 466, Issue Special, September 2011

 Abstract        Full Text (674.3K)              

P.K. Galenko - Institut für Materialphysik im Weltraum, DLR- Deutsches Zentrum für Luft- und Raumfahrt, 51170 Köln, Germany (email)
E.V. Abramova - Institut für Materialphysik im Weltraum, DLR- Deutsches Zentrum für Luft- und Raumfahrt, 51170 Köln, Germany (email)
D.M. Herlach - Institut für Materialphysik im Weltraum, DLR- Deutsches Zentrum für Luft- und Raumfahrt, 51170 Köln, Germany (email)

Abstract: The phase-field model of Echebarria, Folch, Karma, and Plapp [Phys. Rev. E 70 (2004) 061604] is extended to the case of rapid solidification in which local non-equilibrium phenomena occur in the bulk phases and within the diffuse solid-liquid interface. Such an extension leads to the fully hyperbolic system of equations given by the atomic diffusion equation and the phase-field equation of motion. This model is applied to the problem of solute trapping, which is accompanied by the entrapment of solute atoms beyond chemical equilibrium by a rapidly moving interface. The model predicts the beginning of complete solute trapping and diffusionless solidification at a finite solidification velocity.

Keywords:  hyperbolic equation, fast phase transition, phase-field model, rapid solidification, solute trapping
Mathematics Subject Classification:  Primary: 80A22, 74D10; Secondary: 35L20

Received: July 2010;      Revised: March 2011;      Published: October 2011.