Critical packing in granular shear bands

Details Critical packing in granular shear bands Critical packing in granular shear bands

2006-04-20

arxiv.org/abs/cond-mat/0604473v3

Phys. Rev. E 75, 011302 (2007) (7 pages)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevE.75.011302

In a realistic three-dimensional setup, we simulate the slow deformation of idealized granular media composed of spheres undergoing an axisymmetric triaxial shear test. We follow the self-organization of the spontaneous strain localization process leading to a shear band and demonstrate the existence of a critical packing density inside this failure zone. The asymptotic criticality arising from the dynamic equilibrium of dilation and compaction is found to be restricted to the shear band, while the density outside of it keeps the memory of the initial packing. The critical density of the shear band depends on friction (and grain geometry) and in the limit of infinite friction it defines a specific packing state, namely the \emph{dynamic random loose packing}.

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