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 σp 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 compu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-07-01
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| Series: | Frontiers in Mechanical Engineering |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fmech.2022.965584/full |
| _version_ | 1811222466856484864 |
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| author | Anle Wang Martin H. Müser Martin H. Müser |
| author_facet | Anle Wang Martin H. Müser Martin H. Müser |
| author_sort | Anle Wang |
| collection | DOAJ |
| description | Thin, elastic sheets are well known to adapt to rough counterfaces, whereby adhesive interactions and pull-off stresses σp 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 σp 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. |
| first_indexed | 2024-04-12T08:16:24Z |
| format | Article |
| id | doaj.art-3db14421a98a404687eb179b14c3b3bf |
| institution | Directory Open Access Journal |
| issn | 2297-3079 |
| language | English |
| last_indexed | 2024-04-12T08:16:24Z |
| publishDate | 2022-07-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Mechanical Engineering |
| spelling | doaj.art-3db14421a98a404687eb179b14c3b3bf2022-12-22T03:40:45ZengFrontiers Media S.A.Frontiers in Mechanical Engineering2297-30792022-07-01810.3389/fmech.2022.965584965584On the adhesion between thin sheets and randomly rough surfacesAnle Wang 0Martin H. Müser1Martin H. Müser2Department of Material Science and Engineering, Saarland University, Saarbrücken, GermanyDepartment of Material Science and Engineering, Saarland University, Saarbrücken, GermanyINM–Leibniz Institute for New Materials, Saarbrücken, GermanyThin, elastic sheets are well known to adapt to rough counterfaces, whereby adhesive interactions and pull-off stresses σp 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 σp 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.https://www.frontiersin.org/articles/10.3389/fmech.2022.965584/fullcontact mechanicsadhesionthin sheettractionboundary element method |
| spellingShingle | Anle Wang Martin H. Müser Martin H. Müser On the adhesion between thin sheets and randomly rough surfaces Frontiers in Mechanical Engineering contact mechanics adhesion thin sheet traction boundary element method |
| title | On the adhesion between thin sheets and randomly rough surfaces |
| title_full | On the adhesion between thin sheets and randomly rough surfaces |
| title_fullStr | On the adhesion between thin sheets and randomly rough surfaces |
| title_full_unstemmed | On the adhesion between thin sheets and randomly rough surfaces |
| title_short | On the adhesion between thin sheets and randomly rough surfaces |
| title_sort | on the adhesion between thin sheets and randomly rough surfaces |
| topic | contact mechanics adhesion thin sheet traction boundary element method |
| url | https://www.frontiersin.org/articles/10.3389/fmech.2022.965584/full |
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