CUED Publications database

Effect of Tabor parameter on hysteresis losses during adhesive contact

Ciavarella, M and Greenwood, JA and Barber, JR (2016) Effect of Tabor parameter on hysteresis losses during adhesive contact. Journal of the Mechanics and Physics of Solids, 98. pp. 236-244. ISSN 0022-5096

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© 2016 Elsevier Ltd The Tabor parameter μ is conventionally assumed to determine the range of applicability of the classical ‘JKR’ solution for adhesive elastic contact of a sphere and a plane, with the variation of the contact area and approach with load, and in particular the maximum tensile force (the pull-off force) being well predicted for μ>5. Here we show that the hysteretic energy loss during a contact separation cycle is significantly overestimated by the JKR theory, even at quite large values of μ. This stems from the absence of long-range tensile forces in the JKR theory, which implies that jump into contact is delayed until the separation α=0. We develop an approximate solution based on the use of Wu's solution with van der Waals interactions for jump-in, and the JKR theory for jump out of contact, and show that for μ>5, the predicted hysteresis loss is then close to that found by direct numerical solutions using the Lennard-Jones force law. We also show how the same method can be adapted to allow for contact between bodies with finite support stiffness.

Item Type: Article
Divisions: Div D > Geotechnical and Environmental
Depositing User: Cron Job
Date Deposited: 04 Dec 2018 01:19
Last Modified: 25 Jun 2020 11:03
DOI: 10.1016/j.jmps.2016.10.005