Single-asperity contact mechanics with positive and negative work of adhesion: Influence of finite-range interactions and a continuum description for the squeeze-out of wetting fluids
In this work, single-asperity contact mechanics is investigated for positive and negative work of adhesion Δγ. In the latter case, finite-range repulsion acts in addition to hard-wall constraints. This constitutes a continuum model for a contact immersed in a strongly wetting fluid, which can only b...
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Format: | Article |
Language: | English |
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Beilstein-Institut
2014-04-01
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Series: | Beilstein Journal of Nanotechnology |
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Online Access: | https://doi.org/10.3762/bjnano.5.50 |
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author | Martin H. Müser |
author_facet | Martin H. Müser |
author_sort | Martin H. Müser |
collection | DOAJ |
description | In this work, single-asperity contact mechanics is investigated for positive and negative work of adhesion Δγ. In the latter case, finite-range repulsion acts in addition to hard-wall constraints. This constitutes a continuum model for a contact immersed in a strongly wetting fluid, which can only be squeezed out in the center of the contact through a sufficiently large normal load FN. As for positive work of adhesion, two stable solutions can coexist in a finite range of normal loads. The competing solutions can be readily interpreted as contacts with either a load-bearing or a squeezed-out fluid. The possibility for coexistence and the subsequent discontinuous wetting and squeeze-out instabilities depend not only on the Tabor coefficient μT but also on the functional form of the finite-range repulsion. For example, coexistence and discontinuous wetting or squeeze-out do not occur when the repulsion decreases exponentially with distance. For positive work of adhesion, the normal displacement mainly depends on FN, Δγ, and μT but – unlike the contact area – barely on the functional form of the finite-range attraction. The results can benefit the interpretation of atomic force microscopy in liquid environments and the modeling of multi-asperity contacts. |
first_indexed | 2024-12-23T14:14:56Z |
format | Article |
id | doaj.art-7027b00351144fe4989b337684a46dde |
institution | Directory Open Access Journal |
issn | 2190-4286 |
language | English |
last_indexed | 2024-12-23T14:14:56Z |
publishDate | 2014-04-01 |
publisher | Beilstein-Institut |
record_format | Article |
series | Beilstein Journal of Nanotechnology |
spelling | doaj.art-7027b00351144fe4989b337684a46dde2022-12-21T17:43:56ZengBeilstein-InstitutBeilstein Journal of Nanotechnology2190-42862014-04-015141943710.3762/bjnano.5.502190-4286-5-50Single-asperity contact mechanics with positive and negative work of adhesion: Influence of finite-range interactions and a continuum description for the squeeze-out of wetting fluidsMartin H. Müser0Jülich Supercomputing Centre, FZ Jülich, 52428 Jülich, GermanyIn this work, single-asperity contact mechanics is investigated for positive and negative work of adhesion Δγ. In the latter case, finite-range repulsion acts in addition to hard-wall constraints. This constitutes a continuum model for a contact immersed in a strongly wetting fluid, which can only be squeezed out in the center of the contact through a sufficiently large normal load FN. As for positive work of adhesion, two stable solutions can coexist in a finite range of normal loads. The competing solutions can be readily interpreted as contacts with either a load-bearing or a squeezed-out fluid. The possibility for coexistence and the subsequent discontinuous wetting and squeeze-out instabilities depend not only on the Tabor coefficient μT but also on the functional form of the finite-range repulsion. For example, coexistence and discontinuous wetting or squeeze-out do not occur when the repulsion decreases exponentially with distance. For positive work of adhesion, the normal displacement mainly depends on FN, Δγ, and μT but – unlike the contact area – barely on the functional form of the finite-range attraction. The results can benefit the interpretation of atomic force microscopy in liquid environments and the modeling of multi-asperity contacts.https://doi.org/10.3762/bjnano.5.50cohesive zone modelcontact mechanicsenvironmentalfluid squeeze-outnanomechanicssingle-asperity contacts |
spellingShingle | Martin H. Müser Single-asperity contact mechanics with positive and negative work of adhesion: Influence of finite-range interactions and a continuum description for the squeeze-out of wetting fluids Beilstein Journal of Nanotechnology cohesive zone model contact mechanics environmental fluid squeeze-out nanomechanics single-asperity contacts |
title | Single-asperity contact mechanics with positive and negative work of adhesion: Influence of finite-range interactions and a continuum description for the squeeze-out of wetting fluids |
title_full | Single-asperity contact mechanics with positive and negative work of adhesion: Influence of finite-range interactions and a continuum description for the squeeze-out of wetting fluids |
title_fullStr | Single-asperity contact mechanics with positive and negative work of adhesion: Influence of finite-range interactions and a continuum description for the squeeze-out of wetting fluids |
title_full_unstemmed | Single-asperity contact mechanics with positive and negative work of adhesion: Influence of finite-range interactions and a continuum description for the squeeze-out of wetting fluids |
title_short | Single-asperity contact mechanics with positive and negative work of adhesion: Influence of finite-range interactions and a continuum description for the squeeze-out of wetting fluids |
title_sort | single asperity contact mechanics with positive and negative work of adhesion influence of finite range interactions and a continuum description for the squeeze out of wetting fluids |
topic | cohesive zone model contact mechanics environmental fluid squeeze-out nanomechanics single-asperity contacts |
url | https://doi.org/10.3762/bjnano.5.50 |
work_keys_str_mv | AT martinhmuser singleasperitycontactmechanicswithpositiveandnegativeworkofadhesioninfluenceoffiniterangeinteractionsandacontinuumdescriptionforthesqueezeoutofwettingfluids |