TOWARDS A STATISTICAL-THEORY OF SOLID DRY FRICTION

Wearless dry friction of an elastic block of weight N, driven by an ex ternal force F over a rigid substrate, is investigated. The slider and substrate surfaces are both microscopically rough, interacting via a repulsive potential that depends on the local overlap. The model repro duces Amontons's laws which state that the friction force is proportio nal to the normal loading force N and independent of the nominal surfa ce area. In this model, the dynamic friction force decays for large ve locities and approaches a finite static friction for small velocities if the surface profiles are self-affine on small length scales.