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On the adhesion between thin sheets and randomly rough surfaces

  • Thin, elastic sheets are well known to adapt to rough counterfaces, whereby adhesive interactions and pull-off stresses σ<sub>p</sub> can be significant, yet no generally applicable, quantitative guideline has been suggested hitherto as to when a sheet should be considered thin enough to be sticky. Using computer simulations, we find that the dependence of σ<sub>p</sub> on surface energy γ has a high and a low-pull-off-stress regime. For randomly rough surfaces, we locate the dividing line at the point, where γ is approximately half the elastic energy per unit area needed to make conformal contact, which is the same ratio as for semi-infinite elastic solids. This rule of thumb also applies to a certain degree for single-wavelength roughness, in which case the transition from low to high stickiness occurs when at the moment of maximum tension contact is not only broken at the height maxima but also at the saddle points.

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Document Type:Article
Author:Anle WangORCiD, Martin MüserORCiD
Parent Title (English):Frontiers in Mechanical Engineering
First Page:965584
Year of first Publication:2022
Release Date:2022/08/19
Tag:adhesion; boundry element method; contact mechanics; thin sheet; traction
Funding Information:Leibniz Gemeinschaft
Scientific Units:Fellow
DDC classes:500 Naturwissenschaften und Mathematik / 530 Physik
Open Access:Open Access
Signature:INM 2022/076
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International