TY - JOUR
T1 - Unjamming of granular packings due to local perturbations
T2 - Stability and decay of displacements
AU - Reza Shaebani, M.
AU - Unger, Tamás
AU - Kertész, János
PY - 2007/9/17
Y1 - 2007/9/17
N2 - 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 a 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 a direct connection between the critical force and the ensemble of static force networks.
AB - 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 a 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 a direct connection between the critical force and the ensemble of static force networks.
UR - http://www.scopus.com/inward/record.url?scp=34548841461&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.76.030301
DO - 10.1103/PhysRevE.76.030301
M3 - Article
AN - SCOPUS:34548841461
SN - 1539-3755
VL - 76
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 3
M1 - 030301
ER -