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Microstructure evolution of compressible granular systems under large deformations
Affiliation:1. School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, USA;2. Department of Mechanical and Aerospace Engineering, Rutgers University, Piscataway, NJ 08854, USA;1. Calfornia Institute of Technology;2. Brown University;3. Politecnico di Milano;4. Universität Siegen;1. UPMC Univ Paris 06, CNRS, UMR 7190, Institut Jean Le Rond d''Alembert, F-75005 Paris, France;2. LMS, École Polytechnique, CNRS, Université Paris-Saclay, 91128 Palaiseau, France;1. LMS, CNRS, Ecole Polytechnique, 91128 Palaiseau, France;3. Total R&D Carbonate–Exploration & Production, 64018 Pau, France;1. Mathematics Department, Politecnico di Milano, 20133 Milano, Italy;2. Civil Engineering Department, University of Salerno, 84084 Fisciano, Italy;3. DICA, Politecnico di Milano, 20133 Milano, Italy
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 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.
Keywords:Granular systems  Contact mechanics  Nonlocal contact formulation  Microstructure evolution  Compaction  Powders  Particle mechanics  Discrete element method
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