2018/02/13 by Payam Poorsolhjouy, Poorsolhjouy, Payam, Marcial Gonzalez +1
Engineering · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Geotechnical and Geomechanical Engineering #Granular flow and fluidized beds #Rock Mechanics and Modeling #Soft Condensed Matter (cond-mat.soft)
paper · pdf · doi:10.48550/arxiv.1802.04905
openalex publication_date 2018/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A systematic and mechanistic connection between granular materials'\nmacroscopic and grain level behaviors is developed for monodisperse systems of\nspherical elastic particles under die compaction. The Granular Micromechanics\nApproach (GMA) with static assumption is used to derive the stiffness tensor of\ntransversely isotropic materials, from the average behavior of\nparticle-particle interactions in all different directions at the microscale.\nTwo particle-scale directional density distribution functions, namely the\ndirectional distribution of a combined mechano-geometrical property and the\ndirectional distribution of a purely geometrical property, are proposed and\nparametrized by five independent parameters. Five independent components of the\nsymmetrized tangent stiffness tensor are also determined from discrete particle\nmechanics (PMA) calculations of nine perturbations around points of the loading\npath. Finally, optimal values for these five GMA parameters were obtained by\nminimizing the error between PMA calculations and GMA closed-form predictions\nof stiffness tensor during the compaction process. The results show that GMA\nwith static assumption is effective at capturing the anisotropic evolution of\nmicrostructure during loading, even without describing contacts independently\nbut rather accounting for them in an average sense.\n