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Simulations of experimentally observed dendritic growth behaviour using a phase-field model

Simulations of experimentally observed dendritic growth behaviour using a phase-field model
Simulations of experimentally observed dendritic growth behaviour using a phase-field model
An anisotropic phase-field model is used to simulate numerically dendritic solidification for a pure material in two dimensions. The phase-field model has been formulated to include the effect of four-fold anisotropy in both the surface energy and interfacial kinetics. The computations presented here are intended to model qualitatively experimentally observed dendritic solidification morphology. In particular, we simulate the growth into an undercooled melt of two dendrite tips which have formed as the result of a splitting event. The computation exhibits the competition between the two growing dendrite branches and the eventual predominance of one branch. Also, we simulate the effect of time-periodic forcing of an isolated dendrite tip on the mechanism of sidebranch formation. Although it is not yet computationally feasible to adequately verify convergence of the phase-field solutions, the phase-field simulations presented show many of the qualitative features observed in dendritic growth experiments.
0022-0248
386-400
Murray, B.T.
03c14953-dddc-4652-b69b-4695f861617e
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73
Glicksman, M.E.
63f3eccb-29df-45ca-a8af-5587c93b7356
Murray, B.T.
03c14953-dddc-4652-b69b-4695f861617e
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73
Glicksman, M.E.
63f3eccb-29df-45ca-a8af-5587c93b7356

Murray, B.T., Wheeler, A.A. and Glicksman, M.E. (1996) Simulations of experimentally observed dendritic growth behaviour using a phase-field model. Journal of Crystal Growth, 154 (3-4), 386-400. (doi:10.1016/0022-0248(95)00137-9).

Record type: Article

Abstract

An anisotropic phase-field model is used to simulate numerically dendritic solidification for a pure material in two dimensions. The phase-field model has been formulated to include the effect of four-fold anisotropy in both the surface energy and interfacial kinetics. The computations presented here are intended to model qualitatively experimentally observed dendritic solidification morphology. In particular, we simulate the growth into an undercooled melt of two dendrite tips which have formed as the result of a splitting event. The computation exhibits the competition between the two growing dendrite branches and the eventual predominance of one branch. Also, we simulate the effect of time-periodic forcing of an isolated dendrite tip on the mechanism of sidebranch formation. Although it is not yet computationally feasible to adequately verify convergence of the phase-field solutions, the phase-field simulations presented show many of the qualitative features observed in dendritic growth experiments.

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Published date: 1996

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Local EPrints ID: 29147
URI: http://eprints.soton.ac.uk/id/eprint/29147
ISSN: 0022-0248
PURE UUID: 0856da08-6efe-47b1-a0d8-5cb765613ee6

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Date deposited: 04 Jan 2007
Last modified: 15 Mar 2024 07:29

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Contributors

Author: B.T. Murray
Author: A.A. Wheeler
Author: M.E. Glicksman

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