Isostatic phase transition and instability in stiff granular materials

Details Isostatic phase transition and instability in stiff granular materials Isostatic phase transition and instability in stiff granular materials

1998-03-10

arxiv.org/abs/cond-mat/9803120v2

Phys. Rev. Lett. 81 (1998), 1634.

Physics

Condensed Matter

Statistical Mechanics

RevTeX, 4 pages w/eps figures [psfig]. To appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.81.1634

In this letter, structural rigidity concepts are used to understand the origin of instabilities in granular aggregates. It is shown that: a) The contact network of a noncohesive granular aggregate becomes exactly isostatic in the limit of large stiffness-to-load ratio. b) Isostaticity is responsible for the anomalously large susceptibility to perturbation of these systems, and c) The load-stress response function of granular materials is critical (power-law distributed) in the isostatic limit. Thus there is a phase transition in the limit of intinitely large stiffness, and the resulting isostatic phase is characterized by huge instability to perturbation.

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