dorsal/arxiv
View SchemaVibrational dynamics of confined granular material
| Authors | Emilien Azema, Farhang Radjaï, Robert Peyroux, Frédéric Dubois, Gilles Saussine |
|---|---|
| Categories | |
| ArXiv ID | physics/0604176 |
| URL | https://arxiv.org/abs/physics/0604176 |
| DOI | 10.1103/PhysRevE.74.031302 |
Abstract
By means of two-dimensional contact dynamics simulations, we analyze the vibrational dynamics of a confined granular layer in response to harmonic forcing. We use irregular polygonal grains allowing for strong variability of solid fraction. The system involves a jammed state separating passive (loading) and active (unloading) states. We show that an approximate expression of the packing resistance force as a function of the displacement of the free retaining wall from the jamming position provides a good description of the dynamics. We study in detail the scaling of displacements and velocities with loading parameters. In particular, we find that, for a wide range of frequencies, the data collapse by scaling the displacements with the inverse square of frequency, the inverse of the force amplitude and the square of gravity. Interestingly, compaction occurs during the extension of the packing, followed by decompaction in the contraction phase. We show that the mean compaction rate increases linearly with frequency up to a characteristic frequency and then it declines in inverse proportion to frequency. The characteristic frequency is interpreted in terms of the time required for the relaxation of the packing through collective grain rearrangements between two equilibrium states.
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"abstract": "By means of two-dimensional contact dynamics simulations, we analyze the\nvibrational dynamics of a confined granular layer in response to harmonic\nforcing. We use irregular polygonal grains allowing for strong variability of\nsolid fraction. The system involves a jammed state separating passive (loading)\nand active (unloading) states. We show that an approximate expression of the\npacking resistance force as a function of the displacement of the free\nretaining wall from the jamming position provides a good description of the\ndynamics. We study in detail the scaling of displacements and velocities with\nloading parameters. In particular, we find that, for a wide range of\nfrequencies, the data collapse by scaling the displacements with the inverse\nsquare of frequency, the inverse of the force amplitude and the square of\ngravity. Interestingly, compaction occurs during the extension of the packing,\nfollowed by decompaction in the contraction phase. We show that the mean\ncompaction rate increases linearly with frequency up to a characteristic\nfrequency and then it declines in inverse proportion to frequency. The\ncharacteristic frequency is interpreted in terms of the time required for the\nrelaxation of the packing through collective grain rearrangements between two\nequilibrium states.",
"arxiv_id": "physics/0604176",
"authors": [
"Emilien Azema",
"Farhang Radja\u00ef",
"Robert Peyroux",
"Fr\u00e9d\u00e9ric Dubois",
"Gilles Saussine"
],
"categories": [
"physics.class-ph"
],
"doi": "10.1103/PhysRevE.74.031302",
"title": "Vibrational dynamics of confined granular material",
"url": "https://arxiv.org/abs/physics/0604176"
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