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Phase-field model for isothermal phase transitions in binary alloys

Phase-field model for isothermal phase transitions in binary alloys
Phase-field model for isothermal phase transitions in binary alloys
In this paper we present a phase-field model to describe isothermal phase transitions between ideal binary-alloy liquid and solid phases. Governing equations are developed for the temporal and spatial variation of the phase field, which identifies the local state or phase, and for the composition. An asymptotic analysis as the gradient energy coefficient of the phase field becomes small shows that our model recovers classical sharp-interface models of alloy solidification when the interfacial layers are thin, and we relate the parameters appearing in the phase-field model to material and growth parameters in real systems. We identify three stages of temporal evolution for the governing equations: the first corresponds to interfacial genesis, which occurs very rapidly; the second to interfacial motion controlled by diffusion and the local energy difference across the interface; the last takes place on a long time scale in which curvature effects are important, and corresponds to Ostwald ripening. We also present results of numerical calculations.
1050-2947
7424 -7439
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73
Boettinger, W.J.
15c73ade-477d-4f65-b1e6-c48e4a612f66
McFadden, G.B.
56b0d29e-1cfb-4775-96d1-d32d50ea08d2
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73
Boettinger, W.J.
15c73ade-477d-4f65-b1e6-c48e4a612f66
McFadden, G.B.
56b0d29e-1cfb-4775-96d1-d32d50ea08d2

Wheeler, A.A., Boettinger, W.J. and McFadden, G.B. (1992) Phase-field model for isothermal phase transitions in binary alloys. Physical Review A, 45 (10), 7424 -7439. (doi:10.1103/PhysRevA.45.7424).

Record type: Article

Abstract

In this paper we present a phase-field model to describe isothermal phase transitions between ideal binary-alloy liquid and solid phases. Governing equations are developed for the temporal and spatial variation of the phase field, which identifies the local state or phase, and for the composition. An asymptotic analysis as the gradient energy coefficient of the phase field becomes small shows that our model recovers classical sharp-interface models of alloy solidification when the interfacial layers are thin, and we relate the parameters appearing in the phase-field model to material and growth parameters in real systems. We identify three stages of temporal evolution for the governing equations: the first corresponds to interfacial genesis, which occurs very rapidly; the second to interfacial motion controlled by diffusion and the local energy difference across the interface; the last takes place on a long time scale in which curvature effects are important, and corresponds to Ostwald ripening. We also present results of numerical calculations.

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Published date: 1992

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Local EPrints ID: 813
URI: http://eprints.soton.ac.uk/id/eprint/813
ISSN: 1050-2947
PURE UUID: fbefb9d9-823e-4687-b04d-5e51bdcaccab

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Date deposited: 25 Mar 2004
Last modified: 15 Mar 2024 04:42

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Contributors

Author: A.A. Wheeler
Author: W.J. Boettinger
Author: G.B. McFadden

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