On the dependence of the avalanche angle on the granular layer thickness

Details On the dependence of the avalanche angle on the granular layer thickness On the dependence of the avalanche angle on the granular layer thickness

2008-07-31

arxiv.org/abs/0807.5109v1

Physics

Condensed Matter

Materials Science

6 pages, 2 figures

Scientific paper

10.1209/0295-5075/85/24003

A layer of sand of thickness h flows down a rough surface if the inclination is larger than some threshold value theta which decreases with h. A tentative microscopic model for the dependence of theta with h is proposed for rigid frictional grains, based on the following hypothesis: (i) a horizontal layer of sand has some coordination z larger than a critical value z_c where mechanical stability is lost (ii) as the tilt angle is increased, the configurations visited present a growing proportion $_s of sliding contacts. Instability with respect to flow occurs when z-z_s=z_c. This criterion leads to a prediction for theta(h) in good agreement with empirical observations.

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