Abstract:
We introduce a simple model to describe the frictional properties of granular media under shear. We model the friction force in terms of the horizontal velocity and the vertical position z of the slider, interpreting z as a constitutive variable characterizing the contact. Dilatancy is shown to play an essential role in the dynamics, inducing a stick-slip instability at low velocity. We compute the phase diagram, analyze numerically the model for a wide range of parameters and compare our results with experiments on dry and wet granular media, obtaining a good agreement. In particular, we reproduce the hysteretic velocity dependence of the frictional force.
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Received 16 November 1999
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Lacombe, F., Zapperi, S. & Herrmann, H. Dilatancy and friction in sheared granular media. Eur. Phys. J. E 2, 181–189 (2000). https://doi.org/10.1007/s101890050052
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DOI: https://doi.org/10.1007/s101890050052