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Interphase anisotropy effects on lamellar eutectics: A numerical study

Ghosh, Supriyo and Choudhury, Abhik and Plapp, Mathis and Bottin-Rousseau, Sabine and Faivre, Gabriel and Akamatsu, Silvere (2015) Interphase anisotropy effects on lamellar eutectics: A numerical study. In: PHYSICAL REVIEW E, 91 (2).

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Official URL: http://dx.doi.org/10.1103/PhysRevE.91.022407

Abstract

In directional solidification of binary eutectics, it is often observed that two-phase lamellar growth patterns grow tilted with respect to the direction z of the imposed temperature gradient. This crystallographic effect depends on the orientation of the two crystal phases alpha and beta with respect to z. Recently, an approximate theory was formulated that predicts the lamellar tilt angle as a function of the anisotropy of the free energy of the solid(alpha)-solid(beta) interphase boundary. We use two different numerical methods-phase field (PF) and dynamic boundary integral (BI)-to simulate the growth of steady periodic patterns in two dimensions as a function of the angle theta(R) between z and a reference crystallographic axis for a fixed relative orientation of alpha and beta crystals, that is, for a given anisotropy function (Wulff plot) of the interphase boundary. For Wulff plots without unstable interphase-boundary orientations, the two simulation methods are in excellent agreement with each other and confirm the general validity of the previously proposed theory. In addition, a crystallographic ``locking'' of the lamellae onto a facet plane is well reproduced in the simulations. When unstable orientations are present in the Wulff plot, it is expected that two distinct values of the tilt angle can appear for the same crystal orientation over a finite theta(R) range. This bistable behavior, which has been observed experimentally, is well reproduced by BI simulations but not by the PF model. Possible reasons for this discrepancy are discussed.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Keywords: PHASE-FIELD MODEL; GROWTH; SOLIDIFICATION; BOUNDARIES; CRYSTAL; STABILITY; SURFACES; ALLOYS
Department/Centre: Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Depositing User: Id for Latest eprints
Date Deposited: 29 Apr 2015 04:52
Last Modified: 29 Apr 2015 04:52
URI: http://eprints.iisc.ac.in/id/eprint/51447

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