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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

**Full text not available from this repository.**

Official URL: http://dx.doi.org/10.1016/j.jcp.2008.07.023

## 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 |
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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: | [1] J.W. Barrett, J.F. Blowey, H. Garcke, Finite element approximation of the Cahn-Hilliard equation with degenerate mobility, SIAM J. Numer. Anal. 37 |

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

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