Equilibrium Multi-precipitate Configurations

Bhadak, B and Singh, RK and Choudhury, A (2020) Equilibrium Multi-precipitate Configurations. In: Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science .

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Abstract

In this paper, we formulate a phase-field model for the computation of equilibrium configurations of multiple phases that arise out of a solid-state precipitate reaction, in the presence of coherency stresses. Here, we utilize the phase-field framework to minimize the sum of the elastic and the interfacial energies for a given volume of the precipitates using an extension of the volume-preserved Allen�Cahn algorithm (Garcke et al. in Math Models Methods Appl Sci 18(08):1347�1381, 2008; Bhadak et al. in Metall Mater Trans A 49A(11):5705�5726, 2018). Using this technique, we investigate the precipitate organization for three solid-state reactions. The first is the classical two-phase precipitate reaction that leads to the formation of core�shell microstructures, where we clarify the influence of elasticity on the formation of such clusters. Following this, we investigate two symmetry-breaking transitions (cubic to tetragonal) and (hexagonal to orthorhombic), that lead to the formation of multi-variant clusters where we study the organization of the precipitates as a function of the elastic properties of the precipitate and the matrix.

Item Type:	Journal Article
Publication:	Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science
Publisher:	Springer
Additional Information:	The copyright of this article belongs to Springer
Keywords:	Two phase flow, Coherency stress; Elastic properties; Equilibrium configuration; Math model; Phase field models; Phase fields; Symmetry breaking transition; Two phase, Solid state reactions
Department/Centre:	Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Date Deposited:	26 Aug 2020 11:42
Last Modified:	26 Aug 2020 11:42
URI:	http://eprints.iisc.ac.in/id/eprint/66270

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