| Issue |
Math. Model. Nat. Phenom.
Volume 3, Number 5, 2008
Materials Science
|
|
|---|---|---|
| Page(s) | 73 - 91 | |
| DOI | https://doi.org/10.1051/mmnp:2008077 | |
| Published online | 13 December 2008 | |
Effect of Electrostriction on the Self-organization of Porous Nanostructures in Anodized Aluminum Oxide
Department of Applied Mathematics, Northwestern University, 60208
Evanston, USA
Corresponding author: l-stanton@northwestern.edu
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.
Mathematics Subject Classification: 78A35 / 35P15
Key words: electrostriction / nanostructures / stability analysis
© EDP Sciences, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.