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Publisher DOI: 10.3390/lubricants8090090
Title: A numerical study on roughness-induced adhesion enhancement in a sphere with an axisymmetric sinusoidal waviness using Lennard-Jones interaction law
Language: English
Authors: Papangelo, Antonio 
Ciavarella, Michele 
Keywords: adhesion; roughness; adhesion enhancement; JKR model; Lennard-Jones
Issue Date: 4-Sep-2020
Publisher: Multidisciplinary Digital Publishing Institute
Source: Lubricants 8 (9): 90 (2020)
Abstract (english): 
Usually, roughness destroys adhesion and this is one of the reasons why the “adhesion paradox”, i.e., a “sticky Universe”, is not real. However, at least with some special type of roughness, there is even the case of adhesion enhancement, as it was shown clearly by Guduru, who considered the contact between a sphere and a wavy axisymmetric single scale roughness, in the limit of short-range adhesion (JKR limit). Here, the Guduru’s problem is numerically solved by using the Boundary Element Method (BEM) with Lennard-Jones interaction law, which allowed us to explore the contact solution from the rigid to the JKR limit. It is shown that adhesion enhancement stops either for low Tabor parameter, or by large waviness amplitudes, due to the appearance of internal cracks within the contact patch. We do not seem to find a clear threshold for “stickiness” (complete elimination of adhesion), contrary to other recent theories on random roughness. The enhancement effect is well captured by an equation in terms of the Johnson parameter derived by Ciavarella-Kesari-Lew, and is much larger than the Persson-Tosatti enhancement in terms of increase of real contact area due to roughness. The Persson-Tosatti energetic argument for adhesion reduction seems to give a lower bound to the effective work of adhesion.
DOI: 10.15480/882.2951
ISSN: 2075-4442
Journal: Lubricants 
Other Identifiers: doi: 10.3390/lubricants8090090
Institute: Strukturdynamik M-14 
Document Type: Article
Project: Untersuchung und Anwendung komplexer, nichtlinearer, dynamischer Zustände in reiberregten mechanischen Systemen 
More Funding information: Deutsche Forschungsgemeinschaft (DFG)
Italian Ministry of Education, University and Research under the Programme Department of Excellence
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
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