Critical packing in granular shear bands

Abstract

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}.

References in corpus (8)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Is Random Close Packing of Spheres Well Defined?
• Jamming transition in emulsions and granular materials
• The Geometrical Structure of Disordered Sphere Packings
• Local determination of the constitutive law of a dense suspension of non-colloidal particles through MRI
• Self-organization, Localization of Shear Bands and Aging in Loose Granular Materials
• Morphologies of three-dimensional shear bands in granular media
• Criticality of the "critical state" of granular media: Dilatancy angle in the tetris model

Cited by in corpus (5)

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• Discontinuous Shear Thickening (DST) transition with spherical iron particles coated by adsorbed brush polymer