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The effect of an electric-field on the morphological stability of the crystal melt interface of a binary alloy III. Weakly nonlinear-theory

Record type: Article

The effect of a constant electric current on the crystal-melt interface morphology during directional solidification at constant velocity of a binary alloy is considered. A linear temperature field is assumed, and thermoelectric effects and Joule heating are neglected; electromigration and differing electrical conductivities of crystal and melt are taken into account. A two-dimensional weakly nonlinear analysis is carried out to third order in the interface amplitude, resulting in a cubic amplitude equation that describes whether the bifurcation from the planar state is supercritical or subcritical. For wavelengths corresponding to the most dangerous mode of linear theory, we calculate the demarcation between supercritical behaviour as a function of processing conditions and material parameters. The bifurcation behaviour is a sensitive function of the magnitude and direction of the electric current and of the electrical conductivity ratio.

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Citation

Wheeler, A.A., McFadden, G.B., Coriell, S.R. and Hurle, D.T.J. (1990) The effect of an electric-field on the morphological stability of the crystal melt interface of a binary alloy III. Weakly nonlinear-theory Journal of Crystal Growth, 100, (1-2), pp. 78-88. (doi:10.1016/0022-0248(90)90611-N).

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Published date: 1990

Identifiers

Local EPrints ID: 823
URI: http://eprints.soton.ac.uk/id/eprint/823
ISSN: 0022-0248
PURE UUID: 2fe19032-5f23-4b95-9cfa-083bead4551b

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Date deposited: 31 Mar 2004
Last modified: 17 Jul 2017 17:17

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Contributors

Author: A.A. Wheeler
Author: G.B. McFadden
Author: S.R. Coriell
Author: D.T.J. Hurle

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