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Theoretical and numerical investigation of diffusive instabilities in multi-component alloys

Lahiri, Arka and Choudhury, Abhik (2017) Theoretical and numerical investigation of diffusive instabilities in multi-component alloys. In: JOURNAL OF CRYSTAL GROWTH, 459 . pp. 1-12.

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Official URL: http://dx.doi.org/10.1016/j.jcrysgro.2016.11.046

Abstract

Diffusive instabilities of the Mullins-Sekerka type are one of the principal mechanisms through which microstructures form during solidification. In this study, we perform a linear stability analysis for the perturbation of a planar interface, where we derive analytical expressions to characterize the dispersion behavior in multi-component alloys under directional and isothermal solidification conditions. Subsequently, we confirm our calculations using phase-field simulations for different choices of the inter-diffusivity matrices. Thereafter, we highlight the characteristics of the dispersion curves upon change of the diffusivity matrix and the velocity. Finally, we also depict conditions for absolute stability of a planar interface under directional solidification conditions.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Department/Centre: Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Depositing User: Id for Latest eprints
Date Deposited: 15 Mar 2017 04:30
Last Modified: 15 Mar 2017 04:30
URI: http://eprints.iisc.ac.in/id/eprint/56382

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