Journal
PHILOSOPHICAL MAGAZINE
Volume 91, Issue 24, Pages 3253-3275Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/14786435.2011.575410
Keywords
boundary lubrication; nanotribology; viscosity; stick-slip
Categories
Funding
- Central European Initiative
- Italian National Research Council (CNR) through ESF Eurocore/FANAS/AFRI
- Italian Ministry of University and Research [PRIN/COFIN 20087NX9Y7]
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The kinetics and dynamics of frictional stick-slip motion of a slider of size extending from mesoscopic upward is analyzed within the framework of a multi-contact, earthquake-like model. The microscopic contacts are characterized by a distribution of static thresholds for individual breaking. The condition for an overall elastic instability leading to stick-slip sliding are derived and details of the slip motion are studied theoretically. The crucial model parameters emerging from this analysis include the delay time for each micro-contact to reform after breaking, the strength of elastic interaction between the contacts, the elasticity of contacts and of the slider, and the distribution of static thresholds for their breaking. The dynamics is also studied with the help of a scaling procedure. As a prototype application, we adopt parameters appropriate to describe recent surface force apparatus (SFA) boundary lubrication experiments. Despite suggestions of extremely large lubricant viscosities, the experimental data are shown to be fully compatible with ordinary, bulk-like viscosity values once the multi-contact aspects are taken into account.
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