Effect of Surface Energy Anisotropy on the Stability of Growth Fronts in Multiphase Alloys

Lahiri, Arka and Choudhury, Abhik (2015) Effect of Surface Energy Anisotropy on the Stability of Growth Fronts in Multiphase Alloys. In: TRANSACTIONS OF THE INDIAN INSTITUTE OF METALS, 68 (6). pp. 1053-1057.

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Abstract

Eutectic growth offers a variety of examples for pattern formation which are interesting both for theoreticians as well as experimentalists. One such example of patterns is ternary eutectic colonies which arise as a result of instabilities during growth of two solid phases. Here, in addition to the two major components being exchanged between the solid phases during eutectic growth, there is an impurity component which is rejected by both solid phases. During progress of solidification, there develops a boundary layer of the third impurity component ahead of the solidification front of the two solid phases. Similar to Mullins-Sekerka type instabilities, such a boundary layer tends to make the global solidification envelope unstable to morphological perturbations giving rise to two-phase cells. This phenomenon has been studied numerically in two dimensions for the conditions of directional solidification, by Plapp and Karma (Phys Rev E 66:061608, 2002) using phase-field simulations. While, in the work by Plapp and Karma (Phys Rev E 66:061608, 2002) all interfaces are isotropic, in our presentation, we extend the phase-field model by considering interfacial anisotropy in the solid-solid and solid-liquid interfaces and characterize the role of interfacial anisotropy on the stability of the growth front through phase-field simulations in two dimensions.

Item Type:	Journal Article
Publication:	TRANSACTIONS OF THE INDIAN INSTITUTE OF METALS
Publisher:	SPRINGER INDIA
Additional Information:	Copy right for this article belongs to the SPRINGER INDIA, 7TH FLOOR, VIJAYA BUILDING, 17, BARAKHAMBA ROAD, NEW DELHI, 110 001, INDIA
Keywords:	Eutectic; Phase-field; Anisotropy; Mullins-Sekerka; Colony
Department/Centre:	Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Date Deposited:	10 Dec 2015 05:53
Last Modified:	10 Dec 2015 05:53
URI:	http://eprints.iisc.ac.in/id/eprint/52864

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