Abstract

Attempts to establish the relationship between adhesion and friction at the contact of solid surfaces has been frustrated by their inevitable roughness. The recent development of nano-tribology, in which a single asperity contact can be modelled in the surface force apparatus (SFA) or the atomic force microscope (AFM), has made possible the simultaneous measurement of friction and adhesion in a sliding experiment. For the case of pure adhesion, continuum mechanics models exist which assist in the interpretation of the measurements. By assuming a ‘Dugdale’ potential, in which the adhesive force is constant in the separation zone, Maugis [1] obtained a solution in closed form to the behaviour in adhesion of elastic spheres. In the limit, when the separation zone is small compared with the size of the contact, the JKR adhesion theory (Johnson, Kendall & Roberts,[2]) is recovered.

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