Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-03-04
Physics
Condensed Matter
Statistical Mechanics
29 pages, Latex, submitted to Journal de Physique France, 10 figures on request to lbocquet@physique.ens-lyon.fr
Scientific paper
When a elastic body is moved quasistatically back and forth over a surface, the friction of the interface is experimentally observed to circulate through a hysteretic loop. The asymptotic behaviour of the hysteresis loop is approached exponentially. We describe how this behaviour is connected to the collective properties of the elastic instabilities suffered by the elastic body as it is displaced quasistatically. We express the length scale of the exponential in terms of the elasticity of the surface and the properties of the rough substrate. The predicted scalings are confirmed numerically.
Bocquet Lyderic
Jeldtoft Jensen Henrik
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