Unger, Tamas; Kertesz, Janos:

Frictional indeterminancy of forces in hard-disk packings

In: International journal of modern physics B ( IJMPB ), Jg. 17 (2003) ; Nr. 29, S. 5623-5630
ISSN: 1793-6578, 0217-9792
Zeitschriftenaufsatz / Fach: Physik
We study the statical indeterminacy of contact forces in 2D random frictional packings of perfectly rigid disks. Based on contact dynamics simulations we perform a random walk in the force space in order to explore the equilibrium force-states for a fixed packing structure. Our measurement is in agreement with the isostaticity of frictionless hard particles, in that case forces are fully determined. For non-zero friction coefficient the problem gets undetermined, the possible force fluctuations are growing with increasing friction up to a maximum at friction coefficient around 0.1. Further increase of friction reduces the force fluctuations on the average.

Read More: http://www.worldscientific.com/doi/abs/10.1142/S021797920302329X