Bollada, PC, Jimack, PK and Mullis, AM orcid.org/0000-0002-5215-9959 (2020) Multiphase field modelling of alloy solidification. Computational Materials Science, 171. 109085. ISSN 0927-0256
Abstract
We present an approach to alloy solidification modelling that incorporates binary interface energies in a manner that correctly reproduces the associated theoretical angles at triple junctions in eutectic solidification. We find that simply applying the principle that the correct binary junction behaviour is recovered when only two phases are present is insufficient. Previous research (Toth \cite{Toth2016}) recommends a modification of the surface energy by adding an energy barrier at the triple junction, and we explore alternative models that would benefit from this approach. The main approach we recommend here, though, is to extend the minimal model of Folch and Plapp \cite{folch2003,FolchPlapp2005}, which, without modification, is limited to $120^\circ$ junction angles. This is achieved by a linear transformation of this formulation, and facilitated by an analytical multiphase solution presented here for the first time.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | © 2019, The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/BY/4.0/). |
Keywords: | Multiphase field; Alloy solidification; Crystal growth |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Chemical & Process Engineering (Leeds) The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) |
Funding Information: | Funder Grant number EPSRC EP/N007638/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 01 Jul 2019 08:46 |
Last Modified: | 30 May 2023 22:32 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.commatsci.2019.109085 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:147957 |