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Theoretical and Numerical Study of Growth in Multi-Component Alloys

Lahiri, Arka and Abinandanan, TA and Choudhury, Abhik (2017) Theoretical and Numerical Study of Growth in Multi-Component Alloys. In: METALLURGICAL AND MATERIALS TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 48A (10). pp. 4463-4476.

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Official URL: http://doi.org/10.1007/s11661-017-4215-6

Abstract

In multi-component systems, during diffusion-controlled growth of a precipitate from a supersaturated matrix, differential diffusivities lead to a selection of tie-line compositions different from the thermodynamic tie-line containing the alloy composition. In this paper, we address the multi-component version of the growth problem by extending Zener's theory, and derive analytical expressions for predicting tie-lines and composition profiles in the matrix during growth of planar, cylindrical, and spherical precipitates for independent as well as coupled diffusion of solutes in the scaling regime. We confirm our calculations by sharp interface and phase-field simulations in a ternary setting, in which we also extend the tie-line and growth constant predictions for two well-known limiting cases, namely partition and negligible partition under local equilibrium (PLE and NPLE).

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Department/Centre: Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Depositing User: Id for Latest eprints
Date Deposited: 30 Sep 2017 09:21
Last Modified: 14 Feb 2019 06:35
URI: http://eprints.iisc.ac.in/id/eprint/57912

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