Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2010-01-13
Soft Matter, 2010, 6, 2939 - 2943
Physics
Condensed Matter
Soft Condensed Matter
6 pages, 6 figures
Scientific paper
10.1039/c000956n
Contacts at the Coulomb threshold are unstable to tangential perturbations and thus contribute to failure at the microscopic level. How is such a local property related to global failure, beyond the effective picture given by a Mohr-Coulomb type failure criterion? Here, we use a simulated bed of frictional disks slowly tilted under the action of gravity to investigate the link between the avalanche process and a global generalized isostaticity criterion. The avalanche starts when the packing as a whole is still stable according to this criterion, underlining the role of large heterogeneities in the destabilizing process: the clusters of particles with fully mobilized contacts concentrate local failure. We demonstrate that these clusters, at odds with the pile as a whole, are also globally marginal with respect to generalized isostaticity. More precisely, we observe how the condition of their stability from a local mechanical proprety progressively builds up to the generalized isostaticity criterion as they grow in size and eventually span the whole system when approaching the avalanche.
Brito Carolina
Dauchot Olivier
Henkes Silke
Saarloos Wim van
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