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2011, 2011(Special): 457-466. doi: 10.3934/proc.2011.2011.457

Phase-field study of solute trapping effect in rapid solidification

P.K. Galenko 1, , E.V. Abramova 1, and  D.M. Herlach 1,

1. 

Institut für Materialphysik im Weltraum, DLR- Deutsches Zentrum für Luft- und Raumfahrt, 51170 Köln, Germany, Germany, Germany

Received  July 2010 Revised  March 2011 Published  October 2011

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: solute trapping, hyperbolic equation, rapid solidification, phase-field model, fast phase transition.
Mathematics Subject Classification: Primary: 80A22, 74D10; Secondary: 35L20.
Citation: P.K. Galenko, E.V. Abramova, D.M. Herlach. Phase-field study of solute trapping effect in rapid solidification. Conference Publications, 2011, 2011 (Special) : 457-466. doi: 10.3934/proc.2011.2011.457
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