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Propagation d'ondes sonores dans des empilements granulaires non-cohésifs

Abstract : Propagation of sound waves in cohesionless granular packings presents original and complex behaviors due to the divided nature of those materials. They behave as disordered and nonlinear media. Our study is original because we use photoelastic cylinders. By means of a fast camera, we visualize the deformation field associated to the sound wave propagation. First we are interested in the simplest granular packing : a one-dimensional array of cylinders in contact. We carry out an experimental investigation concerning the propagation of an acoustic pulse, in both cases where the pulse amplitude is small (linear wave), or large (nonlinear waves), compared to the static confining force applied to the chain. In the first case, we prove the prominent role played by the imperfections of the contacts on the sound celerity. We also show that the pulse damping mainly originates from dry friction. In the case of very large amplitude, the initial pulse breaks down into a wave train of decreasing amplitudes, with a width comprised between 3 and 4 grains and a supersonic speed. This speed, in units of the bulk sound celerity, depends only on the ratio of the amplitude to the static confining pressure. These observations are interpreted by generalizing the results of Nesterenko. Finally , we address the case of the two-dimensional packings. Linear sound waves propagate through the static force chains and their velocities increase with the static force in the chain. However they are always smaller than in the one-dimensional case. It suggests that the wave behavior along the force chain is affected by the lateral contacts of the chain.
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https://tel.archives-ouvertes.fr/tel-00664150
Contributor : Guillaume Huillard Connect in order to contact the contributor
Submitted on : Sunday, January 29, 2012 - 4:53:19 PM
Last modification on : Thursday, August 4, 2022 - 5:07:07 PM
Long-term archiving on: : Monday, April 30, 2012 - 2:20:51 AM

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  • HAL Id : tel-00664150, version 1

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Guillaume Huillard. Propagation d'ondes sonores dans des empilements granulaires non-cohésifs. Matière Molle [cond-mat.soft]. Université Nice Sophia Antipolis, 2011. Français. ⟨NNT : ⟩. ⟨tel-00664150⟩

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