Bouzid Mehdi, Martin Trulsson, Philippe Claudin, Eric Clément, Bruno Andreotti
Based on the idea that the motion of an assembly of rigid particles is mostly determined by the volume fraction, we propose a non-local constitutive relation for dense granular flows. This rheology is tested against discrete element simulations and calibrated using the spatial relaxation of the rheology observed under a homogeneous stress. We show that the creep flow obtained below yield conditions is quantitatively described by the same liquid rheology as the shear flow obtained above yield conditions. In the spirit of the experiment of Reddy et al. [1], we investigate the influence of a shear band far away from the studied zone on its mechanical behaviour. The dominant features of the experiment are recovered both in the numerical simulations and in the analytical model. The later quantitatively fits the numerical data without any adjustable parameter.
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http://arxiv.org/abs/1301.3308
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