Towards a statistical theory of solid dry friction
Statistical Mechanics
2009-10-28 v3
Abstract
Wearless dry friction of an elastic block of weight N, driven by an external 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 reproduces Amontons's laws which state that the friction force is proportional to the normal loading force N and independent of the nominal surface area. In this model, the dynamic friction force decays for large velocities and approaches a finite static friction for small velocities if the surface profiles are self-affine on small length scales.
Cite
@article{arxiv.cond-mat/9612206,
title = {Towards a statistical theory of solid dry friction},
author = {A. Volmer and T. Nattermann},
journal= {arXiv preprint arXiv:cond-mat/9612206},
year = {2009}
}
Comments
Latex, 10 pages. Jounal reference added