Unjamming of Granular Packings due to Local Perturbations: Stability and Decay of Displacements
arXiv:0705.2513 · doi:10.1103/PhysRevE.76.030301
Abstract
We study the mechanical response generated by local deformations in jammed packings of rigid disks. Based on discrete element simulations we determine the critical force of the local perturbation that is needed to break the mechanical equilibrium and examine the generated displacement field. Displacements decay as a power law of the distance from the perturbation point. The decay exponent and the critical force exhibit nontrivial dependence on the friction: Both quantities are nonmonotonic and have a sharp maximum at the friction coefficient 0.1. We find that the mechanical response properties are closely related to the problem of force-indeterminacy where similar nonmonotonic behavior was observed previously. We establish direct connection between the critical force and the ensemble of static force networks.
arXiv comment4 pages, 4 figures
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- Evolution of shear zones in granular packings under pressure
- Evolution of the force distributions in jammed packings of soft particles
- Anisotropy of force distributions in sheared soft particle systems
- Convective Flows in Sheared Packings of Spherical Particles
- Striped Patterns in Radially Driven Suspensions with Open Boundaries