ar X iv : c on d - m at / 9 90 83 59 v 1 2 5 A ug 1 99 9 Dilatancy and friction in sheared granular media
نویسنده
چکیده
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 ẋ 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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