Effect of confinement on dense packings of rigid frictionless spheres and polyhedra

Abstract

We study numerically the influence of confinement on the solid fraction and on the structure of three-dimensional random close packed (RCP) granular materials subject to gravity. The effects of grain shape (spherical or polyhedral), material polydispersity and confining wall friction on this dependence are investigated. In agreement with a simple geometrical model, the solid fraction is found to decrease linearly for increasing confinement no matter the grain shape. Furthermore, this decrease remains valid for bidisperse sphere packings although the gradient seems to reduce significantly when the proportion of small particles reaches 40% by volume. The confinement effect on the coordination number is also captured by an extension of the aforementioned model.

References in corpus (24)

• Is Random Close Packing of Spheres Well Defined?
• Crucial role of side walls for granular surface flows: consequences for the rheology
• Geometry of Frictionless and Frictional Sphere Packings
• Quasistatic rheology, force transmission and fabric properties of a packing of irregular polyhedral particles
• Stress-strain behavior and geometrical properties of packings of elongated particles
• Internal states of model isotropic granular packings. I. Assembling process, geometry and contact networks
• Geometric origin of mechanical properties of granular materials
• Force transmission in a packing of pentagonal particles
• Confined granular packings: structure, stress, and forces
• Random Close Packing of Disks and Spheres in Confined Geometries
• Stresses in silos: Comparison between theoretical models and new experiments
• Influence of confinement on granular penetration by impact
• Numerical Tests of Constitutive Laws for Dense Granular Flows
• Wall effects on granular heap stability
• The S shape of a granular pile in a rotating drum
• Athermal jamming of soft frictionless Platonic solids
• The Breakdown of Kinetic Theory in Granular Shear Flows
• Experimental compaction of anisotropic granular media
• Sensitivity of the stress response function to packing preparation
• Short-time dynamics of a packing of polyhedral grains under horizontal vibrations
• Vibrational dynamics of confined granular material
• The growth of a Super Stable Heap : an experimental and numerical study
• Importance of convection in the compaction mechanisms of anisotropic granular media
• Internal state of granular assemblies near random close packing

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• Granular surface flows confined between flat, frictional walls. Part 1. Kinematics
• The Dynamics in Vibro-fluidized Beds: A Diffusing Wave Spectroscopy Study
• Observing the Glass and Jamming Transitions of Dense Granular Material in Microgravity
• Dry granular flows: rheological measurements of the $\mu (I)$-Rheology