Internal states of model isotropic granular packings. II. Compression and pressure cycles

Abstract

This is the second paper of a series of three investigating, by numerical means, the geometric and mechanical properties of spherical bead packings under isotropic stresses. We study the effects of varying the applied pressure P (from 1 or 10 kPa up to 100 MPa in the case of glass beads) on several types of configurations assembled by different procedures, as reported in the preceding paper. As functions of P, we monitor changes in solid fraction Φ, coordination number z, proportion of rattlers (grains carrying no force) x0, the distribution of normal forces, the level of friction mobilization, and the distribution of near neighbor distances. Assuming the contact law does not involve material plasticity or damage, Φis found to vary very nearly reversibly with P in an isotropic compression cycle, but all other quantities, due to the frictional hysteresis of contact forces, change irreversibly. In particular, initial low P states with high coordination numbers lose many contacts in a compression cycle, and end up with values of z and x0 close to those of the most poorly coordinated initial configurations. Proportional load variations which do not entail notable configuration changes can therefore nevertheless significantly affect contact networks of granular packings in quasistatic conditions.

Published in Physical Review E 12 pages

References in corpus (6)

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• Internal states of model isotropic granular packings. I. Assembling process, geometry and contact networks
• Computer simulation of model cohesive powders: influence of assembling procedure and contact laws on low consolidation states
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Cited by in corpus (12)

• Internal states of model isotropic granular packings. I. Assembling process, geometry and contact networks
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• Internal states of model isotropic granular packings. III. Elastic properties
• Computer simulation of model cohesive powders: Plastic consolidation, structural changes and elasticity under isotropic loads
• Solid behavior of anisotropic rigid frictionless bead assemblies
• On the elastic moduli of three-dimensional assemblies of spheres: characterization and modeling of fluctuations in the particle displacement and rotation
• Compaction of mixtures of rigid and highly deformable particles: a micro-mechanical model
• Complex Memory Formation in Frictional Granular Media
• Bulk Modulus along Jamming Transition Lines of Bidisperse Granular Packings
• Mechanical properties of inclined frictional granular layers
• Mechanical response of an inclined frictional granular layer approaching unjamming
• Data-driven numerical site response