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Effect of Electrostriction on the Self-organization of PorousNanostructures in Anodized Aluminum Oxide

Published online by Cambridge University Press:  13 December 2008

L. G. Stanton  and
A. A. Golovin
L. G. Stanton*
Affiliation:
Department of Applied Mathematics, Northwestern University, 60208 Evanston, USA
A. A. Golovin
Affiliation:
Department of Applied Mathematics, Northwestern University, 60208 Evanston, USA
*
l-stanton@northwestern.edu
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Abstract

The self-organization of porous nanostructures in anodic metal oxide is considered. A mathematical model which incorporates the chemical reactions at the metal-oxide and oxide-electrolyte interfaces and elastic stress caused by the electrostrictive effects is developed. It is shown through linear stability analysis, that a short-wave instability exists in certain parameter regimes which can lead to the formation of hexagonally ordered pores observed in anodized aluminum oxide.

Keywords

electrostrictionnanostructuresstability analysis
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 3 , Issue 5: Materials Science , 2008 , pp. 73 - 91
Copyright
© EDP Sciences, 2008

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