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A multi-phase-field model of eutectic and peritectic alloys: numerical simulation of growth structures

A multi-phase-field model of eutectic and peritectic alloys: numerical simulation of growth structures
A multi-phase-field model of eutectic and peritectic alloys: numerical simulation of growth structures
In this paper, we extend the multi-phase-field concept, recently developed to model pure systems involving grains, to multi-phase alloy systems. We derive a phase-field model in a general form which has the flexibility to model a variety of binary alloys. In particular, our new model provides a framework for describing and numerically simulating the solidification of both eutectic and peritectic systems. We report computations that exhibit a wide range of realistic phenomena, including eutectic lamellae spacing selection by the annihilation of lamellae through competitive over-growth by their neighbours as well as tip splitting of individual lamellae. Our results are consistent with the scaling predictions of the classical Jackson and Hunt theory of eutectic lamellae. With regards to peritectic growth, we report simulations that exhibit many characteristic features of the peritectic phase transition: below the peritectic temperature the peritectic phase grows preferentially along the properitectic phase by solute diffusion in the liquid until the parent phase is engulfed. The subsequent peritectic transformation continues by solid diffusion on a longer timescale.
multi-phase field model, microstructure simulations, eutectic alloys, peritectic alloys
0167-2789
114-133
Nestler, B.
0746e232-a39d-4784-916a-0cdeea4292e4
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73
Nestler, B.
0746e232-a39d-4784-916a-0cdeea4292e4
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73

Nestler, B. and Wheeler, A.A. (2000) A multi-phase-field model of eutectic and peritectic alloys: numerical simulation of growth structures. Physica D, 138 (1-2), 114-133. (doi:10.1016/S0167-2789(99)00184-0).

Record type: Article

Abstract

In this paper, we extend the multi-phase-field concept, recently developed to model pure systems involving grains, to multi-phase alloy systems. We derive a phase-field model in a general form which has the flexibility to model a variety of binary alloys. In particular, our new model provides a framework for describing and numerically simulating the solidification of both eutectic and peritectic systems. We report computations that exhibit a wide range of realistic phenomena, including eutectic lamellae spacing selection by the annihilation of lamellae through competitive over-growth by their neighbours as well as tip splitting of individual lamellae. Our results are consistent with the scaling predictions of the classical Jackson and Hunt theory of eutectic lamellae. With regards to peritectic growth, we report simulations that exhibit many characteristic features of the peritectic phase transition: below the peritectic temperature the peritectic phase grows preferentially along the properitectic phase by solute diffusion in the liquid until the parent phase is engulfed. The subsequent peritectic transformation continues by solid diffusion on a longer timescale.

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Published date: 2000
Keywords: multi-phase field model, microstructure simulations, eutectic alloys, peritectic alloys
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 29103
URI: http://eprints.soton.ac.uk/id/eprint/29103
ISSN: 0167-2789
PURE UUID: 71a88414-8829-459a-9182-72608d8a040f

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Date deposited: 18 Jul 2006
Last modified: 09 Jan 2022 01:22

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Contributors

Author: B. Nestler
Author: A.A. Wheeler

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