2021
DOI: 10.1007/s11249-021-01454-6
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Distribution of Gaps and Adhesive Interaction Between Contacting Rough Surfaces

Abstract: Understanding the distribution of interfacial separations between contacting rough surfaces is integral for providing quantitative estimates for adhesive forces between them. Assuming non-adhesive, frictionless contact of self-affine surfaces, we derive the distribution of separations between surfaces near the contact edge. The distribution exhibits a power-law divergence for small gaps, and we use numerical simulations with fine resolution to confirm the scaling. The characteristic length scale over which the… Show more

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Cited by 11 publications
(3 citation statements)
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“…3.4 Mechanism of electrical wear resistance of (CNTs-TiB 2 )/Cu composites In fact, the surface of the friction pair is uneven and consists of countless tiny contact points (Monti et al, 2021). The composites surface can be affected by friction current and arc repeatedly.…”
Section: Resultsmentioning
confidence: 99%
“…3.4 Mechanism of electrical wear resistance of (CNTs-TiB 2 )/Cu composites In fact, the surface of the friction pair is uneven and consists of countless tiny contact points (Monti et al, 2021). The composites surface can be affected by friction current and arc repeatedly.…”
Section: Resultsmentioning
confidence: 99%
“…Note that these minimization algorithms require that the interaction potential has a continuous second derivative, justifying our choice of a third-order polynomial. BEM with hard-wall repulsion and finite-ranged attraction (Müser, 2014(Müser, , 2016Müser et al, 2017;Wang and Müser, 2017;Bazrafshan et al, 2017;Rey et al, 2017;Bugnicourt et al, 2018;Monti et al, 2021) or soft (Lennard-Jones type) repulsion (Greenwood, 1997;Feng, 2000;Wu, 2010;Medina and Dini, 2014;Robbins, 2014, 2016;Persson and Scaraggi, 2014;Monti et al, 2019;Ghanbarzadeh et al, 2020;Wang et al, 2021) have been used in the past to study the adhesion of spheres and rough surfaces. During retraction, these models are similar to fiber-bundle models of quasi-brittle fracture (Batrouni et al, 2002;Schmittbuhl et al, 2003;Stormo et al, 2012;Gjerden et al, 2013Gjerden et al, , 2014 and threshold-force models (Pohrt and Popov, 2015;Hulikal et al, 2017;Li et al, 2019).…”
Section: Reference Modelmentioning
confidence: 99%
“…The link between load and plastic deformation was established by Martínez et al [24,25]. In terms of the interfacial average separation, Müser et al [26] found the pressure dependence of the average separation and derived the distribution of separations between surfaces near the contact edge. It's easy to notice that the metallic contact mechanism investigated above are all under low contact pressure and with little yield hardening effect.…”
Section: Introductionmentioning
confidence: 99%