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Evolution of percolating force chains in compressed granular media

Raul Cruz Hidalgo·Christian U. Grosse·Ferenc Kun·Hans W. Reinhardt·Hans J. Herrmann
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Abstract

The evolution of effective force chains percolating through a compressed granular system is investigated. We performed experiments by compressing an ensemble of spherical particles in a cylindrical container monitoring the macroscopic constitutive behavior and the acoustic signals emitted by microscopic rearrangements of particles. As a novel approach, we applied the continuous damage model of fiber bundles to describe the evolution of the array of force chains during the loading process. The model provides a nonlinear constitutive behavior in good quantitative agreement with the experimental results. For a system of hard particles the model predicts a universal power law divergence of stress when approaching a critical deformation. The amplitude distribution of acoustic signals was found experimentally to follow a power law with exponent $δ= 1.15 \pm 0.05$ which is in a good agreement with the analytic solution of the model.

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Raul Cruz Hidalgo, Christian U. Grosse, Ferenc Kun, Hans W. Reinhardt, Hans J. Herrmann. 2002-04-03. Evolution of percolating force chains in compressed granular media. https://arxiv.org/abs/cond-mat/0204077

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