Effect of Tabor parameter on hysteresis losses during adhesive contact. (January 2017)

• Record Type: Journal Article
• Authors: Ciavarella, M.; Greenwood, J.A.; Barber, J.R.
• Is Part Of: Journal of the mechanics and physics of solids. Volume 98(2017:Jan.)
• Page Start: 236
• Page End: 244
• Publication Date: 2017-01
• Subjects: Contact mechanics -- Hysteresis -- JKR -- Adhesion; Mechanics, Applied -- Periodicals; Solids -- Periodicals; Mechanics -- Periodicals; Mécanique appliquée -- Périodiques; Solides -- Périodiques; Mechanics, Applied; Solids; Periodicals; 531.05
• DOI: 10.1016/j.jmps.2016.10.005
• Languages: English
• ISSNs: 0022-5096

Abstract

Abstract: 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.