Phase-field study of solute trapping effect in rapid solidification

P.K. Galenko; E.V. Abramova; D.M. Herlach

doi:10.3934/proc.2011.2011.457

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2011, Volume 2011: 457-466. Doi: 10.3934/proc.2011.2011.457 open access

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Phase-field study of solute trapping effect in rapid solidification

1.
Institut für Materialphysik im Weltraum, DLR- Deutsches Zentrum für Luft- und Raumfahrt, 51170 Köln

Received: June 30, 2010

Revised: February 28, 2011

Published: August 2017

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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.

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Mathematics Subject Classification: Primary: 80A22, 74D10; Secondary: 35L20.

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