Isostaticity in two dimensional pile of rigid disks

Abstract

We study the static structure of piles made of polydisperse disks in the rigid limit with and without friction using molecular dynamic simulations for various elasticities of the disks and pile preparation procedures. The coordination numbers are calculated to examine the isostaticity of the pile structure. For the frictionless pile, it is demonstrated that the coordination number converges to 4 in the rigid limit, which implies that the structure of rigid disk pile is isostatic. On the other hand, for the frictional case with the infinite friction constant, the coordination number depends on the preparation procedure of the pile, but we find that the structure becomes very close to isostatic with the coordination number close to 3 in the rigid limit when the pile is formed through the process that tends to make a pile of random configuration.

3 pages, 3 figures, Submitted to J. Phys. Soc. Jpn

Cited by in corpus (5)

• Granular contact force density of states and entropy in a modified Edwards ensemble
• Elegance of disordered granular packings: a validation of Edwards' hypothesis
• Isostaticity and Mechanical Response of Two-Dimensional Granular Piles
• H theorem for contact forces in granular materials
• A mean field description of jamming in non-cohesive frictionless particulate systems