Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-01-28
Physics
Condensed Matter
Disordered Systems and Neural Networks
7 pages, 2 figures, correction of the text
Scientific paper
10.1209/epl/i2000-00415-5
We propose a model to describe the quasistatic shearing of dry granular materials, which notably captures the differences in velocity profiles recently observed in 2 and 3-D Couette flow experiments. In our scheme, the steady-state flow is due to the intermittent motion of particle clusters moving together with the wall. The motion of a cluster is associated with the transient formation of a fracture inside the sheared pack. The model is based on the existence of a persistence length for the fractures, which imposes a self-similar structure on the clusters. Through a probabilistic approach, we can evaluate the rate of appearance of a cluster of a given size and obtain a prediction for the average velocity profiles. We also predict the existence of large stress fluctuations at the moving wall, which characteristics are in good agreement with experimental data.
Debrégeas Georges
Josserand Christophe
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