Scale effect on dry friction during multiple-asperity contact is considered. The coefficient of friction is a sum of the adhesion component, two-body deformation component, three-body deformation (plowing) component, and a so-called ratchet component of friction. These components of the friction force depend on the relevant real area of contact (dependent on roughness and mechanical properties) and relevant shear strength during sliding. A model of rough surface topography based on an empirical power rule for scale dependence of roughness and contact parameters is proposed. The effect of load on contact parameters is also considered. Comparison of the model to experiment data on scale and load dependence of friction is presented.
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Nosonovsky et al. (2005) studied this question.
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