Elastic wave propagation in confined granular systems
arXiv:cond-mat/0408128 · doi:10.1103/PhysRevE.72.021301
Abstract
We present numerical simulations of acoustic wave propagation in confined granular systems consisting of particles interacting with the three-dimensional Hertz-Mindlin force law. The response to a short mechanical excitation on one side of the system is found to be a propagating coherent wavefront followed by random oscillations made of multiply scattered waves. We find that the coherent wavefront is insensitive to details of the packing: force chains do not play an important role in determining this wavefront. The coherent wave propagates linearly in time, and its amplitude and width depend as a power law on distance, while its velocity is roughly compatible with the predictions of macroscopic elasticity. As there is at present no theory for the broadening and decay of the coherent wave, we numerically and analytically study pulse-propagation in a one-dimensional chain of identical elastic balls. The results for the broadening and decay exponents of this system differ significantly from those of the random packings. In all our simulations, the speed of the coherent wavefront scales with pressure as ; we compare this result with experimental data on various granular systems where deviations from the behavior are seen. We briefly discuss the eigenmodes of the system and effects of damping are investigated as well.
20 pages, 12 figures; changes throughout text, especially Section V.A
References in corpus (15)
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- Packing of Compressible Granular Materials
- Geometry of Frictionless and Frictional Sphere Packings
- Continuum limit of amorphous elastic bodies: A finite-size study of low frequency harmonic vibrations
- Why Effective Medium Theory Fails in Granular Materials
- Geometric origin of mechanical properties of granular materials
- On the Microscopic Foundations of Elasticity
- Isostatic phase transition and instability in stiff granular materials
- Stress Propagation through Frictionless Granular Material
- Force Chains, Microelasticity and Macroelasticity
- Quasistatic rheology and the origins of strain
- Pulse Velocity in a Granular Chain
- Pressure dependence of the sound velocity in a 2D lattice of Hertz-Mindlin balls: a mean field description
- Pulse Dynamics in a Chain of Granules With Friction
- A Model for the Propagation of Sound in Granular Materials
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