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 cursive Greek chi̇ and the vertical position z of the slider, interpreting 2 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
Dilatancy and friction in sheared granular media / F. Lacombe, S. Zapperi, H.J. Herrmann. - In: THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER. - ISSN 1292-8941. - 2:2(2000 Jun), pp. 181-189.
Dilatancy and friction in sheared granular media
S. Zapperi;
2000
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 cursive Greek chi̇ and the vertical position z of the slider, interpreting 2 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 forceFile | Dimensione | Formato | |
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