4.7 Article

Trans-interface-diffusion-controlled coarsening in ternary alloys

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ACTA MATERIALIA
卷 61, 期 20, 页码 7749-7754

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PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.actamat.2013.09.014

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Particle coarsening; Ternary alloys; Interface diffusion-control

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A theory of trans-interface-diffusion-controlled (TIDC) coarsening of coherent precipitates in ternary alloys is developed, building largely on prior theories of matrix-diffusion-controlled (MDC) coarsening previously published by Morral and Purdy (Scripta Metall Mater, 30 (1994) 905) and Kuehmann and Voorhees (Metall Mater Trans A, 27A (1996) 937). It predicts time-dependent behavior of the type < r >(n) approximate to k(T)t for the growth of precipitates of average radius < r > on aging time, t, where the temporal exponent n (2 <= n <= 3) is intimately connected to the scaled distribution of particle sizes. The theory also predicts the dependencies on t of the far-field matrix solute concentrations of minority components 2 and 3, X-infinity 2,X-3, specifically X-infinity 2,X-3 approximate to kappa(T2,3)t(-1/n). The dependencies of the volume fraction, f, and number density, N-v, on t are also predicted. Equations for the rate constants k(T) and kappa(T2,3) are derived. These constants depend on the thermophysical parameters of the system, including the trans-interfacial intrinsic diffusion coefficients, D-12 and D-13, interfacial energy, sigma and curvatures of the Gibbs free energies of mixing. Equations are derived that enable sigma and D-12,D-3 to be obtained independently of each other from analyses of the data on coarsening. The equations of the TIDC theory are compared with those of the M DC theories (n = 3); all agreements are noted and discrepancies discussed. (C) 2013 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.

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