Towards a statistical theory of solid dry friction |
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Authors: | Andreas Volmer Thomas Nattermann |
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Institution: | 19. Institut für Theoretische Physik, Universit?t K?ln, Zülpicher Strasse 77, D-50937, K?ln, Germany
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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. |
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