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Phase field study of precipitate growth: Effect of misfit strain and interface curvature

Mukherjee, R and Abinandanan, TA and Gururajan, MP (2009) Phase field study of precipitate growth: Effect of misfit strain and interface curvature. In: ACTA Materialia, 57 (13). pp. 3947-3954.

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Official URL: http://dx.doi.org/10.1016/j.actamat.2009.04.056

Abstract

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.

Item Type: Journal Article
Publication: ACTA Materialia
Publisher: Elsevier Science
Additional Information: copyright of this article belongs to Elsevier science.
Keywords: Phase field modeling; Phase transformation kinetics; Precipitation
Department/Centre: Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Date Deposited: 22 Dec 2009 07:16
Last Modified: 22 Feb 2012 08:17
URI: http://eprints.iisc.ac.in/id/eprint/22291

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