Force Mobilization and Generalized Isostaticity in Jammed Packings of Frictional Grains

Details Force Mobilization and Generalized Isostaticity in Jammed Packings of Frictional Grains Force Mobilization and Generalized Isostaticity in Jammed Packings of Frictional Grains

2006-10-07

arxiv.org/abs/cond-mat/0610205v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 4 figures, submitted

Scientific paper

10.1103/PhysRevE.75.010301

We show that in slowly generated 2d packings of frictional spheres, a significant fraction of the friction forces lies at the Coulomb threshold - for small pressure p and friction coefficient mu, about half of the contacts. Interpreting these contacts as constrained leads to a generalized concept of isostaticity, which relates the maximal fraction of fully mobilized contacts and contact number. For p->0, our frictional packings approximately satisfy this relation over the full range of mu. This is in agreement with a previous conjecture that gently built packings should be marginal solids at jamming. In addition, the contact numbers and packing densities scale with both p and mu.

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