Microstructure evolution of compressible granular systems under large deformations

Abstract

We report three-dimensional particle mechanics static calculations that predict the microstructure evolution during die-compaction of elastic spherical particles up to relative densities close to one. We employ a nonlocal contact formulation that remains predictive at high levels of confinement by removing the classical assumption that contacts between particles are formulated locally as independent pair-interactions. The approach demonstrates that the coordination number depends on the level of compressibility, i.e., on the Poisson's ratio, of the particles. Results also reveal that distributions of contact forces between particles and between particles and walls, although similar at jamming onset, are very different at full compaction. Particle-wall forces are in remarkable agreement with experimental measurements reported in the literature, providing a unifying framework for bridging experimental boundary observations with bulk behavior.

References in corpus (7)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Spanning the Scales of Granular Materials: Microscopic Force Imaging
• Entropy maximization in the force network ensemble for granular solids
• The tail of the contact force distribution in static granular materials
• A microscopic approach to the nonlinear elasticity of compressed emulsions
• Tuning Jammed Frictionless Disk Packings from Isostatic to Hyperstatic
• Packing geometry and statistics of force networks in granular media

Cited by in corpus (3)

• Generalized loading-unloading contact laws for elasto-plastic spheres with bonding strength
• General and mechanistic optimal relationships for tensile strength of doubly convex tablets under diametrical compression
• Contact radius and curvature corrections to the nonlocal contact formulation accounting for multi-particle interactions in elastic confined granular systems