Is there more than one stickiness criterion?

Abstract Adhesion between an elastic body and a smooth, rigid substrate can lead to large tensile stresses between them. However, most macroscopic objects are microscopically rough, which strongly suppresses adhesion. A fierce debate has unfolded recently as to whether local or global parameters det...

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Main Authors: Anle Wang, Martin H. Müser
Format: Article
Language:English
Published: Tsinghua University Press 2022-06-01
Series:Friction
Subjects:
Online Access:https://doi.org/10.1007/s40544-022-0644-3
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author Anle Wang
Martin H. Müser
author_facet Anle Wang
Martin H. Müser
author_sort Anle Wang
collection DOAJ
description Abstract Adhesion between an elastic body and a smooth, rigid substrate can lead to large tensile stresses between them. However, most macroscopic objects are microscopically rough, which strongly suppresses adhesion. A fierce debate has unfolded recently as to whether local or global parameters determine the crossover between small and large adhesion. Here, we report simulations revealing that the dependence of the pull-off force Fn on the surface energy γ does not only have two regimes of high and low adhesion but up to four regimes. They are related to contacts, which at the moment of rupture consist of (i) the last individual Hertzian-shaped contact, in which is linear in γ, (ii) a last meso-scale, individual patches with super-linear scaling, (iii) many isolated contact patches with extremely strong scaling, and (iv) a dominating largest contact patch, for which the pull-off stress is no longer negligible compared to the maximum, microscopic pull-off stress. Regime (iii) can be seen as a transition domain. It is located near the point where the surface energy is half the elastic energy per unit area in conformal contact. A criterion for the transition between regimes (i) and (ii) appears difficult to grasp.
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spelling doaj-art-4d4e85b3e7bc4c5988228cdc5ae2981c2025-08-20T03:36:21ZengTsinghua University PressFriction2223-76902223-77042022-06-011161027103910.1007/s40544-022-0644-3Is there more than one stickiness criterion?Anle Wang0Martin H. Müser1Department of Material Science and Engineering, Saarland UniversityDepartment of Material Science and Engineering, Saarland UniversityAbstract Adhesion between an elastic body and a smooth, rigid substrate can lead to large tensile stresses between them. However, most macroscopic objects are microscopically rough, which strongly suppresses adhesion. A fierce debate has unfolded recently as to whether local or global parameters determine the crossover between small and large adhesion. Here, we report simulations revealing that the dependence of the pull-off force Fn on the surface energy γ does not only have two regimes of high and low adhesion but up to four regimes. They are related to contacts, which at the moment of rupture consist of (i) the last individual Hertzian-shaped contact, in which is linear in γ, (ii) a last meso-scale, individual patches with super-linear scaling, (iii) many isolated contact patches with extremely strong scaling, and (iv) a dominating largest contact patch, for which the pull-off stress is no longer negligible compared to the maximum, microscopic pull-off stress. Regime (iii) can be seen as a transition domain. It is located near the point where the surface energy is half the elastic energy per unit area in conformal contact. A criterion for the transition between regimes (i) and (ii) appears difficult to grasp.https://doi.org/10.1007/s40544-022-0644-3adhesionpull-off forcerough contactstickiness
spellingShingle Anle Wang
Martin H. Müser
Is there more than one stickiness criterion?
Friction
adhesion
pull-off force
rough contact
stickiness
title Is there more than one stickiness criterion?
title_full Is there more than one stickiness criterion?
title_fullStr Is there more than one stickiness criterion?
title_full_unstemmed Is there more than one stickiness criterion?
title_short Is there more than one stickiness criterion?
title_sort is there more than one stickiness criterion
topic adhesion
pull-off force
rough contact
stickiness
url https://doi.org/10.1007/s40544-022-0644-3
work_keys_str_mv AT anlewang istheremorethanonestickinesscriterion
AT martinhmuser istheremorethanonestickinesscriterion