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Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method

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Eilks, C. and Elliott, Charles M.. (2008) Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method. Journal of Computational Physics, Vol.227 (No.23). pp. 9727-9741. ISSN 0021-9991

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Abstract

In this article we formulate a numerical method for the simulation of dealloying of a binary alloy by the selective removal of one component via electrochemical dissolution such that there is phase separation of the other component at the solid/electrolyte interface. The evolution of the interface is modelled by a forced mean curvature flow strongly coupled to the solution of a Cahn-Hilliard equation modelling surface phase separation. The method is based on a triangulated hypersurface whose evolution is calculated as well as the solution of the Cahn-Hilliard equation by the evolving surface finite element method (ESFEM). The numerical experiments simulate complex morphology and concentration patterns providing evidence that the mathematical model may describe the formation of nanoporosity. (C) 2008 Published by Elsevier Inc.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Phase transformations (Statistical physics) -- Mathematical models, Phase rule and equilibrium -- Mathematical models, Finite element method
Journal or Publication Title: Journal of Computational Physics
Publisher: Academic Press Inc. Elsevier Science
ISSN: 0021-9991
Official Date: 1 December 2008
Volume: Vol.227
Number: No.23
Number of Pages: 15
Page Range: pp. 9727-9741
Identification Number: 10.1016/j.jcp.2008.07.023
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Deutsche Forschungsgemeinschaft (DFG)
References:

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URI: http://wrap.warwick.ac.uk/id/eprint/29014

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