Evidence of Raleigh-Hertz surface waves and shear stiffness anomaly in granular media
arXiv:0803.3955 · doi:10.1103/PhysRevLett.101.118001
Abstract
Due to the non-linearity of Hertzian contacts, the speed of sound in granular matter increases with pressure. Under gravity, the non-linear elastic description predicts that acoustic propagation is only possible through surface modes, called Rayleigh-Hertz modes and guided by the index gradient. Here we directly evidence these modes in a controlled laboratory experiment and use them to probe the elastic properties of a granular packing under vanishing confining pressure. The shape and the dispersion relation of both transverse and sagittal modes are compared to the prediction of non-linear elasticity that includes finite size effects. This allows to test the existence of a shear stiffness anomaly close to the jamming transition.
arXiv comment4 pages 4 figures
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- Experimental study of the jamming transition at zero temperature
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- Mechanical response of an inclined frictional granular layer approaching unjamming
- Mechanical properties of inclined frictional granular layers
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