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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
*
[email protected]
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Abstract

The self-organization of porous nanostructures in anodic metal oxideis considered. A mathematical model which incorporates the chemicalreactions at the metal-oxide and oxide-electrolyte interfaces andelastic stress caused by the electrostrictive effects isdeveloped. It is shown through linear stability analysis, that ashort-wave instability exists in certain parameter regimes which canlead to the formation of hexagonally ordered pores observed inanodized 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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