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Elastohydrodynamics of contact in adherent sheets
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Poulain, Stéphane, Carlson, Andreas, Mandre, Shreyas and Mahadevan, L. (2022) Elastohydrodynamics of contact in adherent sheets. Journal of Fluid Mechanics, 947 . A16. doi:10.1017/jfm.2022.553 ISSN 1469-7645.
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Official URL: https://doi.org/10.1017/jfm.2022.553
Abstract
Adhesive contact between a thin elastic sheet and a substrate arises in a range of biological, physical and technological applications. By considering the dynamics of this process that naturally couples fluid flow, long-wavelength elastic deformations and microscopic adhesion, we analyse a sixth-order thin-film equation for the short-time dynamics of the onset of adhesion and the long-time dynamics of a steadily propagating adhesion front. Numerical solutions corroborate scaling laws and asymptotic analyses for the characteristic waiting time for adhesive contact and for the speed of the adhesion front. A similarity analysis of the governing partial differential equation further allows us to determine the shape of a fluid-filled blister ahead of the adhesion front. Finally, our analysis reveals a near-singular behaviour at the moving elastohydrodynamic contact line with an effective boundary condition that might be useful in other related problems.
| Item Type: | Journal Article | ||||||||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QC Physics T Technology > TA Engineering (General). Civil engineering (General) |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
| SWORD Depositor: | Library Publications Router | ||||||||||||
| Library of Congress Subject Headings (LCSH): | Hydroelasticity, Thin films, Interfaces (Physical sciences) -- Mathematical models, Fluid mechanics -- Mathematics | ||||||||||||
| Journal or Publication Title: | Journal of Fluid Mechanics | ||||||||||||
| Publisher: | Cambridge University Press (CUP) | ||||||||||||
| ISSN: | 1469-7645 | ||||||||||||
| Official Date: | 25 September 2022 | ||||||||||||
| Dates: |
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| Volume: | 947 | ||||||||||||
| Article Number: | A16 | ||||||||||||
| DOI: | 10.1017/jfm.2022.553 | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Reuse Statement (publisher, data, author rights): | This article has been published in a revised form in Journal of Fluid Mechanics http://doi.org/https://doi.org/10.1017/jfm.2022.553 this version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © copyright holder. | ||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
| Copyright Holders: | © The Author(s), 2022. Published by Cambridge University Press | ||||||||||||
| Date of first compliant deposit: | 8 September 2022 | ||||||||||||
| RIOXX Funder/Project Grant: |
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