Journal
ACTA MATERIALIA
Volume 57, Issue 13, Pages 3947-3954Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.actamat.2009.04.056
Keywords
Phase field modeling; Phase transformation kinetics; Precipitation
Funding
- Volkswagen Foundation
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We have used phase field simulations to study the effect of misfit and interfacial curvature on diffusion-controlled growth of an isolated precipitate in a supersaturated matrix. Treating Our simulations as computer experiments, we compare our simulation results with those based on the Zener-Frank and Laraia-Johnson-Voorhees theories for the growth of non-misfitting and misfitting precipitates respectively. The agreement between simulations and the Zener-Frank theory is very good in one dimensional systems. In two-dimensional systems with interfacial curvature (with and without misfit). We find good agreement between theory and simulations, but only at large supersaturations, where we find that the Gibbs-Thomson effect is less completely realized. At small supersaturations, the convergence of instantaneous growth coefficient in simulations towards its theoretical value could not be tracked to completion, because the diffusional field reached the system boundary. Also at small supersaturations, the elevation in precipitate composition matches well with the theoretically predicted Gibbs-Thomson effect in both misfitting and non-misfitting systems. (C) 2009 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
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