Evidence of Raleigh-Hertz surface waves and shear stiffness anomaly in granular media

Details Evidence of Raleigh-Hertz surface waves and shear stiffness anomaly in granular media Evidence of Raleigh-Hertz surface waves and shear stiffness anomaly in granular media

2008-03-27

arxiv.org/abs/0803.3955v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages 4 figures

Scientific paper

10.1103/PhysRevLett.101.118001

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.

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