R. L. Brown and J. C. Richards, Principles of powder mechanics, 1970.

P. Coussot and C. Ancey, Rheophysics of Slurries and Suspensions, 1999.

C. Augustin-de, 1736-1806) Coulomb. Théorie des machines simples ; Nouv

J. Duran, Sands, Powders, and Grains : An Introduction to the Physics of Granular Materials, 1999.
DOI : 10.1007/978-1-4612-0499-2

I. Agnolin and J. Roux, Internal states of model isotropic granular packings. III. Elastic properties, Physical Review E, vol.76, issue.6, p.61304, 2007.
DOI : 10.1103/PhysRevE.76.061304
URL : https://hal.archives-ouvertes.fr/hal-00148554

I. Agnolin and J. Roux, On the elastic moduli of three-dimensional assemblies of spheres: Characterization and modeling of fluctuations in the particle displacement and rotation, International Journal of Solids and Structures, vol.45, issue.3-4, pp.3-41101, 2008.
DOI : 10.1016/j.ijsolstr.2007.07.016
URL : https://hal.archives-ouvertes.fr/hal-00353678

M. J. , F. Radjai, D. E. Wolf, and J. Moreau, Bimodal character of stress transmission in granular packings, Phys. Rev. Lett, vol.80, issue.1, pp.61-64, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01407369

J. Bouchaud, M. E. Cates, E. Clément, L. Vanel, P. Claudin et al., Stresses in silos : Comparison between theoretical models and new experiments, Phys. Rev. Lett, vol.84, issue.7, pp.1439-1442, 2000.

J. Geng, G. Reydellet, E. , and R. P. Behringer, Green???s function measurements of force transmission in 2D granular materials, Physica D: Nonlinear Phenomena, vol.182, issue.3-4, pp.3-4274, 2003.
DOI : 10.1016/S0167-2789(03)00137-4

J. Geng, G. Reydellet, G. Combe, P. Claudin, R. P. Behringer et al., Sensitivity of the stress response function to packing preparation, Journal of Physics Condensed Matter, vol.17, p.2391, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00011256

W. Losert, J. Géminard, S. Nasuno, and J. P. Gollub, Mechanisms for slow strengthening in granular materials, Physical Review E, vol.61, issue.4, pp.4060-4068, 2000.
DOI : 10.1103/PhysRevE.61.4060

S. Deboeuf, O. Dauchot, L. Staron, A. Mangeney, and J. Vilotte, Memory of the unjamming transition during cyclic tiltings of a granular pile, Physical Review E, vol.72, issue.5, p.72051305, 2005.
DOI : 10.1103/PhysRevE.72.051305
URL : https://hal.archives-ouvertes.fr/hal-00005480

G. Midi, On dense granular flows, The European Physical Journal E, vol.4, issue.4, pp.341-365, 2004.
DOI : 10.1140/epje/i2003-10153-0
URL : https://hal.archives-ouvertes.fr/hal-00000959

J. Lanuza, E. Clément, and G. Caballero, Compaction and mobility in randomly agitated granular assemblies, Balkema, p.339, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00174798

X. J. Brunet, T. , and P. A. Johnson, Transitional nonlinear elastic behaviour in dense granular media, Geophysical Research Letters, vol.107, issue.B6, p.19308, 2008.
DOI : 10.1029/2008GL035264
URL : https://hal.archives-ouvertes.fr/hal-00350203

A. J. Liu and S. R. Nagel, Jamming is not just cool any more, Nature, vol.396, issue.6706, p.21, 1998.
DOI : 10.1038/23819

E. Clément and L. Labous, Pattern formation in a vibrated granular layer: The pattern selection issue, Physical Review E, vol.62, issue.6, pp.8314-8323, 2000.
DOI : 10.1103/PhysRevE.62.8314

S. Teruhisa, S. Komatsu, N. Inagaki, S. Nakagawa, and . Nasuno, Creep motion in a granular pile exhibiting steady surface flow, Phys. Rev. Lett, vol.86, issue.9, pp.1757-1760, 2001.

F. Leonforte, A. Tanguy, and J. L. Barrat, Plastic response of a 2d lennardjones amorphous solid : Detailed analysis of the local rearrangements at very slow strain rate, The European Physical Journal E : Soft Matter and Biological Physics, vol.20, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00068911

A. Tanguy, F. Leonforte, J. P. Wittmer, and J. L. Barrat, Vibrations of amorphous nanometric structures: when does the classical continuum theory apply?, EMRS 2003 Symposium F, Nanostructures from Clusters, pp.282-288, 2004.
DOI : 10.1016/j.apsusc.2003.11.042
URL : https://hal.archives-ouvertes.fr/hal-00195614

F. Leonforte, R. Boissière, A. Tanguy, J. P. Wittmer, and J. Barrat, Continuum limit of amorphous elastic bodies. III. Three-dimensional systems, Physical Review B, vol.72, issue.22, p.72224206, 2005.
DOI : 10.1103/PhysRevB.72.224206
URL : https://hal.archives-ouvertes.fr/hal-00004977

A. J. Liu-corey, S. O-'hern, L. E. Silbert, and S. R. Nagel, Jamming at zero temperature and zero applied stress : The epitome of disorder, Phys. Rev. E, vol.68, issue.1, p.11306, 2003.

E. M. Lifshitz and L. D. Landau, Course of theoretical physics, Theory of elasticity, pp.0-7506, 1986.

H. Hertz, über die berührung fester elastischer körper, Journal für die reine und angewandte Mathematik, pp.156-171

B. Velický and C. Caroli, Pressure dependence of the sound velocity in a two-dimensional lattice of Hertz-Mindlin balls: Mean-field description, Physical Review E, vol.65, issue.2, p.21307, 2002.
DOI : 10.1103/PhysRevE.65.021307

J. Duffy and R. D. Mindlin, Stress-Strain Relations and Vibrations of a Granular Medium, Journal of applied mechanics, vol.24, issue.4, pp.585-593, 1957.
DOI : 10.1007/978-1-4613-8865-4_49

R. D. Mindlin, Compliance of Elastic Bodies in Contact, J.app.Mech, vol.71, p.259, 1949.
DOI : 10.1007/978-1-4613-8865-4_24

J. D. Goddard, Nonlinear Elasticity and Pressure-Dependent Wave Speeds in Granular Media, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.430, issue.1878, pp.105-131, 1878.
DOI : 10.1098/rspa.1990.0083

K. Walton, The effective elastic moduli of a random packing of spheres, Journal of the Mechanics and Physics of Solids, vol.35, issue.2, pp.213-226, 1987.
DOI : 10.1016/0022-5096(87)90036-6

D. L. Johnson and A. N. Norris, Nonlinear elasticity of granular media, Physica B: Condensed Matter, vol.279, issue.1-3, pp.39-49, 1997.
DOI : 10.1016/S0921-4526(99)00700-0

S. N. Domenico, ELASTIC PROPERTIES OF UNCONSOLIDATED POROUS SAND RESERVOIRS, GEOPHYSICS, vol.42, issue.7, pp.1339-1368, 1977.
DOI : 10.1190/1.1440797

X. Jia, C. Caroli, and B. Velicky, Ultrasound Propagation in Externally Stressed Granular Media, Physical Review Letters, vol.82, issue.9, pp.1863-1866, 1999.
DOI : 10.1103/PhysRevLett.82.1863
URL : https://hal.archives-ouvertes.fr/hal-00351103

X. Jia, Codalike Multiple Scattering of Elastic Waves in Dense Granular Media, Physical Review Letters, vol.93, issue.15, p.154303, 2004.
DOI : 10.1103/PhysRevLett.93.154303

B. Gilles and C. Coste, Low-Frequency Behavior of Beads Constrained on a Lattice, Physical Review Letters, vol.90, issue.17, p.174302, 2003.
DOI : 10.1103/PhysRevLett.90.174302
URL : https://hal.archives-ouvertes.fr/hal-01406751

J. Anfosso and V. Gibiat, Elastic wave propagation in a three-dimensional periodic granular medium, Europhysics Letters (EPL), vol.67, issue.3, pp.376-382, 2004.
DOI : 10.1209/epl/i2004-10085-9

S. Job, F. Melo, A. Sokolow, and S. Sen, How Hertzian Solitary Waves Interact with Boundaries in a 1D Granular Medium, Physical Review Letters, vol.94, issue.17, p.94178002, 2005.
DOI : 10.1103/PhysRevLett.94.178002
URL : https://hal.archives-ouvertes.fr/hal-00624695

F. Melo, S. Job, F. Santibanez, and F. Tapia, Experimental evidence of shock mitigation in a Hertzian tapered chain, Physical Review E, vol.73, issue.4, p.41305, 2006.
DOI : 10.1103/PhysRevE.73.041305
URL : https://hal.archives-ouvertes.fr/hal-00624706

J. W. Rayleigh, The Theory of Sound, volume 1&2, Dover, pp.2-0486602931

A. E. Love, Some Problems of Geodynamics, 1911.

V. E. Gusev, V. Aleshin, and V. Tournat, Acoustic Waves in an Elastic Channel near the Free Surface of Granular Media, Physical Review Letters, vol.96, issue.21, p.96214301, 2006.
DOI : 10.1103/PhysRevLett.96.214301

C. Liu and S. R. Nagel, Sound in sand, Physical Review Letters, vol.68, issue.15, pp.2301-2304, 1992.
DOI : 10.1103/PhysRevLett.68.2301

C. Liu and S. R. Nagel, Sound in a granular material: Disorder and nonlinearity, Physical Review B, vol.48, issue.21, pp.15646-15650, 1993.
DOI : 10.1103/PhysRevB.48.15646

R. Stephen, C. E. Hostler, and . Brennen, Pressure wave propagation in a granular bed, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), vol.72, issue.3, p.31303, 2005.

P. Brownell, Le scorpion détecte ses proies par les vibrations du sable, Dossier Pour la Science, vol.34, 2002.

M. Polo, Guillaume de Rubrouck (122 ?-129 ?) Deux voyages en Asie au XIIIe siècle, par Guillaume de Rubruquis envoyé de Saint-Louis et Marco Polo marchand vénitien, chapter XLIV, pp.1254-1324

A. Fertin and J. Casas, Orientation towards prey in antlions: efficient use of wave propagation in sand, Journal of Experimental Biology, vol.210, issue.19, pp.3337-3343, 2007.
DOI : 10.1242/jeb.004473
URL : https://hal.archives-ouvertes.fr/hal-00193685

P. H. Brownell, Compressional and Surface Waves in Sand: Used by Desert Scorpions to Locate Prey, Science, vol.197, issue.4302, pp.479-482, 1977.
DOI : 10.1126/science.197.4302.479

A. Bruce, M. Young, and . Morain, The use of ground-borne vibrations for prey localization in the saharan sand vipers (Cerastes), J Exp Biol, vol.205, issue.5, pp.661-665, 2002.

M. Peter, E. R. Narins, J. J. Lewis, J. O. Jarvis, and . Riain, The use of seismic signals by fossorial southern african mammals : A neuroethological gold mine, Brain Research Bulletin, vol.44, issue.5, pp.641-646, 1997.

J. Matthew, P. M. Mason, and . Narins, Seismic signal use by fossorial mammals, Amer. Zool, vol.41, issue.5, pp.1171-1184, 2001.

U. B. Willi, G. N. Bronner, and P. M. Narins, Middle ear dynamics in response to seismic stimuli in the Cape golden mole (Chrysochloris asiatica), Journal of Experimental Biology, vol.209, issue.2, pp.302-313, 2006.
DOI : 10.1242/jeb.01989

R. Erica, S. Wise-robin, J. Stein-matthew, S. J. Mason, M. J. Lucas et al., Ossicular density in golden moles (Chrysochloridae), Journal of Comparative Physiology A : Neuroethology, Sensory, Neural, and Behavioral Physiology, vol.192, issue.12, pp.1349-1357, 2006.

P. Brownell and R. D. Farley, Detection of vibrations in sand by tarsal sense organs of the nocturnal scorpion,Paruroctonus mesaensis, Journal of Comparative Physiology ? A, vol.141, issue.1, pp.23-30, 1978.
DOI : 10.1007/BF00613080

H. Philip, J. Brownell, and . Leo-van-hemmen, Vibration sensitivity and a computational theory for prey-localizing behavior in sand scorpions, Amer. Zool, vol.41, issue.5, pp.1229-1240, 2001.

R. A. Bagnold, The physics of blown sand and desert dunes, 1942.
DOI : 10.1007/978-94-009-5682-7

J. H. Poynting and J. J. Thomson, Textbook of Physics : Sound, Charles Griffin, 1922.

M. Hunt and M. Hunt, Private communication ; roaming sand dunes, minisymposium : Geophysical fluid dynamics, aps-dfd, tampa, 2006.

P. K. Haff, Booming dunes, American Scientist, vol.74, pp.376-381, 1986.

B. Andreotti, The Song of Dunes as a Wave-Particle Mode Locking, Physical Review Letters, vol.93, issue.23, p.238001, 2004.
DOI : 10.1103/PhysRevLett.93.238001
URL : https://hal.archives-ouvertes.fr/hal-00005344

S. Douady, A. Manning, P. Hersen, H. Elbelrhiti, S. Protière et al., Song of the Dunes as a Self-Synchronized Instrument, Physical Review Letters, vol.97, issue.1, p.18002, 2006.
DOI : 10.1103/PhysRevLett.97.018002
URL : https://hal.archives-ouvertes.fr/hal-00135892

M. Liu and Y. Jiang, Powders & Grains, page p. 433, 2005.

Y. Jiang and M. Liu, Granular Elasticity without the Coulomb Condition, Physical Review Letters, vol.91, issue.14, p.144301, 2003.
DOI : 10.1103/PhysRevLett.91.144301

Y. Jiang and M. Liu, Energetic Instability Unjams Sand and Suspension, Physical Review Letters, vol.93, issue.14, p.148001, 2004.
DOI : 10.1103/PhysRevLett.93.148001
URL : http://arxiv.org/abs/cond-mat/0405426

P. J. Digby, The Effective Elastic Moduli of Porous Granular Rocks, Journal of Applied Mechanics, vol.48, issue.4, pp.803-808, 1981.
DOI : 10.1115/1.3157738

L. David, A. Johnson-hernán, N. Makse, L. Gland, and . Schwartz, Granular packings : Nonlinear elasticity, sound propagation, and collective relaxation dynamics, Phys. Rev. E, vol.70, issue.6, p.61302, 2004.

L. David, A. Johnson-hernán, N. Makse, L. Gland, and . Schwartz, Why effective medium theory fails in granular materials, Phys. Rev. Lett, vol.83, issue.24, pp.5070-5073, 1999.

P. De-gennes, Static compression of a granular medium: the ???soft shell??? model, Europhysics Letters (EPL), vol.35, issue.2, pp.145-150, 1996.
DOI : 10.1209/epl/i1996-00546-1

M. J. Boussinesq, Essai théorique sur l'équilibre d'élasticité des massifs pulvérulents et sur la poussée des terres sans cohésion. Comptes rendus hebdomadaires des séances de l'Académie des Sciences, LXXVII, pp.1521-1525

K. Bräuer, M. Pfitzner, D. O. Krimer, M. Mayer, Y. Jiang et al., Granular elasticity: Stress distributions in silos and under point loads, Physical Review E, vol.74, issue.6, p.74061311, 2006.
DOI : 10.1103/PhysRevE.74.061311

O. Dmitry, M. Krimer, K. Pfitzner, Y. Bräuer, M. Jiang et al., Granular elasticity : General considerations and the stress dip in sand piles, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), issue.6, p.74061310, 2006.

Y. Jiang and M. Liu, From Elasticity to Hypoplasticity: Dynamics of Granular Solids, Physical Review Letters, vol.99, issue.10, p.105501, 2007.
DOI : 10.1103/PhysRevLett.99.105501

J. C. Maxwell, On the Calculation of the Equilibrium and Stiffness of Frames, Philos. Mag, vol.27, pp.294-299, 1864.
DOI : 10.1017/CBO9780511698095.029

M. Wyart, L. E. Silbert, S. R. Nagel, and T. A. Witten, Effects of compression on the vibrational modes of marginally jammed solids, Physical Review E, vol.72, issue.5, p.72051306, 2005.
DOI : 10.1103/PhysRevE.72.051306

N. Xu, M. Wyart, A. J. Liu, and S. R. Nagel, Excess Vibrational Modes and the Boson Peak in Model Glasses, Physical Review Letters, vol.98, issue.17, p.98175502, 2007.
DOI : 10.1103/PhysRevLett.98.175502

W. Matthieu, Sur la rigidité des solides amorphes. Fluctuation des prix, conventions et microstructure des marchés financiers, 2005.

J. P. Wittmer, A. Tanguy, J. Barrat, and L. Lewis, Vibrations of amorphous, nanometric structures: When does continuum theory apply?, Europhysics Letters (EPL), vol.57, issue.3, pp.423-429, 2002.
DOI : 10.1209/epl/i2002-00471-9
URL : https://hal.archives-ouvertes.fr/hal-00195614

V. Magnanimo, L. La-ragione, J. T. Jenkins, P. Wang, and H. A. Makse, Characterizing the shear and bulk moduli of an idealized granular material, EPL (Europhysics Letters), vol.81, issue.3, p.34006, 2008.
DOI : 10.1209/0295-5075/81/34006

K. Shundyak, M. Van-hecke, and W. Van-saarloos, Force mobilization and generalized isostaticity in jammed packings of frictional grains, Physical Review E, vol.75, issue.1, p.10301, 2007.
DOI : 10.1103/PhysRevE.75.010301

L. Bonneau, B. Andreotti, and E. Clement, Surface elastic waves in granular media under gravity and their relation to booming avalanches, Physical Review E, vol.75, issue.1, p.16602, 2007.
DOI : 10.1103/PhysRevE.75.016602

X. Jacob, V. Aleshin, V. Tournat, P. Leclaire, W. Lauriks et al., Acoustic Probing of the Jamming Transition in an Unconsolidated Granular Medium, Physical Review Letters, vol.100, issue.15, p.158003, 2008.
DOI : 10.1103/PhysRevLett.100.158003
URL : https://hal.archives-ouvertes.fr/hal-01326055

R. W. Clayton, C. E. Brennen, K. S. Brantley, N. M. Vriend, M. L. Hunt et al., Solving the mystery of booming sand dunes, Geophys. Res. Lett, vol.34, p.16306, 2007.

L. Bonneau, B. Andreotti, and E. Clément, Evidence of Rayleigh-Hertz Surface Waves and Shear Stiffness Anomaly in Granular Media, Physical Review Letters, vol.101, issue.11, p.118001, 2008.
DOI : 10.1103/PhysRevLett.101.118001

B. Andreotti, A mean-field model for the rheology and the dynamical phase transitions in the flow of granular matter, Europhysics Letters (EPL), vol.79, issue.3, p.34001, 2007.
DOI : 10.1209/0295-5075/79/34001
URL : https://hal.archives-ouvertes.fr/hal-00164696

I. Sánchez, F. Raynaud, J. Lanuza, B. Andreotti, E. Clément et al., Spreading of a granular droplet, Physical Review E, vol.76, issue.6, p.76060301, 2007.
DOI : 10.1103/PhysRevE.76.060301

A. Furukawa and H. Tanaka, Violation of the incompressibility of liquid by simple shear flow, Nature, vol.35, issue.7110, pp.434-438, 2006.
DOI : 10.1038/nature05119

M. Nosonovsky and G. G. Adams, Interaction of Elastic Dilatational and Shear Waves With a Frictional Sliding Interface, Journal of Vibration and Acoustics, vol.124, issue.1, pp.33-39, 2002.
DOI : 10.1115/1.1421609

M. Nosonovsky and G. G. Adams, Elastic waves induced by the frictional sliding of two elastic half-spaces From Model Experiment to Industrial Problem -A Century of Efforts in Mechanics, of Tribology and Interface Engineering Proceedings of the 27th Leeds- Lyon Symposium on Tribology, pp.47-54, 2001.

C. Caroli and B. Velický, Anomalous acoustic reflection on a sliding interface or a shear band, Physical Review E, vol.67, issue.6, p.61301, 2003.
DOI : 10.1103/PhysRevE.67.061301

S. Sundaresan, K. Kesava-rao-benson, K. Muite, and S. F. Quinn, Silo music and silo quake : granular flow-induced vibration, Powder Technology, vol.145, issue.2, pp.190-202, 2004.

R. K. Kandikatla, K. Kesava-rao-mukesh, L. Dhoriyani, and K. Kumar-jonnalagadda, Silo music : Sound emission during the flow of granular materials through tubes, Powder Technology, vol.2, pp.55-71, 2006.

J. Tejchman, K. Wilde, and M. Rucka, Silo music ? mechanism of dynamic flow and structure interaction, Powder Technology, vol.186, issue.2, pp.113-129, 2008.

G. W. Baxter, R. P. Behringer, T. Fagert, and G. Johnson, Pattern formation in flowing sand, Physical Review Letters, vol.62, issue.24, pp.2825-2828, 1989.
DOI : 10.1103/PhysRevLett.62.2825

Y. Bertho, F. Giorgiutti-dauphiné, and J. Hulin, Intermittent dry granular flow in a vertical pipe, Physics of Fluids, vol.15, issue.11, pp.3358-3369, 2003.
DOI : 10.1063/1.1615570
URL : https://hal.archives-ouvertes.fr/hal-00192104

W. A. Beverloo, H. A. Leniger, and J. Van-de-velde, The flow of granular solids through orifices, Chemical Engineering Science, vol.15, issue.3-4, pp.3-4260, 1961.
DOI : 10.1016/0009-2509(61)85030-6

C. Fond, G. Ovarlez, and E. Clément, Overshoot effect in the janssen granular column : A crucial test for granular mechanics, Phys. Rev. E, vol.67, issue.6, p.60302, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00195229

. Th, X. Brunet, P. Jia, and . Mills, Mechanisms for acoustic absorption in dry and weakly wet granular media, Physical Review Letters, vol.101, issue.13, p.138001, 2008.

. Janssen, Versuche über getreidedruck in silozellen, pp.1045-1049

R. W. Clayton, C. E. Brennen, K. S. Brantley, N. M. Vriend, M. L. Hunt et al., Reply to comment by b. andreotti et al. on solving the mystery of booming sand dunes, Geophys. Res. Lett, vol.35, p.8307, 2008.

F. Malloggi, Etudes expérimentales d'avalanches granulaires, 2006.

K. Goldsack and . Leach, Natural and artificial 'singing' sands, Nature, vol.386, issue.6620, p.29, 1997.
DOI : 10.1038/386029a0

M. Wyart, L. E. Silbert, S. R. Nagel, and T. A. Witten, Effects of compression on the vibrational modes of marginally jammed solids, Physical Review E, vol.72, issue.5, p.51306, 2005.
DOI : 10.1103/PhysRevE.72.051306

A. Tanguy, J. P. Wittmer, F. Leonforte, and J. Barrat, Continuum limit of amorphous elastic bodies: A finite-size study of low-frequency harmonic vibrations, Physical Review B, vol.66, issue.17, p.174205, 2002.
DOI : 10.1103/PhysRevB.66.174205

E. Somfai, Critical and noncritical jamming of frictional grains, Physical Review E, vol.75, issue.2, p.20301, 2007.
DOI : 10.1103/PhysRevE.75.020301

P. H. Brownell, Compressional and Surface Waves in Sand: Used by Desert Scorpions to Locate Prey, Science, vol.197, issue.4302, p.479, 1977.
DOI : 10.1126/science.197.4302.479

G. S. Baker, C. Schmeissner, D. W. Steeple, and R. G. Plum, Seismic reflections from depths of less than two meters, Geophysical Research Letters, vol.54, issue.2, p.279, 1999.
DOI : 10.1029/1998GL900243

V. E. Gusev, V. Aleshin, V. Tournat, and X. Jacob, Acoustic Waves in an Elastic Channel near the Free Surface of Granular Media, Physical Review Letters, vol.96, issue.21, pp.214301-158003, 2006.
DOI : 10.1103/PhysRevLett.96.214301

L. Bonneau, B. Andreotti, and E. Clément, Surface elastic waves in granular media under gravity and their relation to booming avalanches, Physical Review E, vol.75, issue.1, p.16602, 2007.
DOI : 10.1103/PhysRevE.75.016602

Y. Jiang and M. Liu, Granular Elasticity without the Coulomb Condition, Physical Review Letters, vol.91, issue.14, pp.144301-148001, 2003.
DOI : 10.1103/PhysRevLett.91.144301

N. Xu, M. Wyart, A. J. Liu, and S. R. Nagel, Excess Vibrational Modes and the Boson Peak in Model Glasses, Physical Review Letters, vol.98, issue.17, p.175502, 2007.
DOI : 10.1103/PhysRevLett.98.175502

B. Andreotti, L. Bonneau, and E. Clément, Comment on ???Solving the mystery of booming sand dunes??? by Nathalie M. Vriend et al., Geophysical Research Letters, vol.34, issue.8, p.8306, 2008.
DOI : 10.1029/2007GL032509

G. Ovarlez, C. Fond, and E. Clément, Overshoot effect in the Janssen granular column: A crucial test for granular mechanics, Physical Review E, vol.67, issue.6, p.60302, 2003.
DOI : 10.1103/PhysRevE.67.060302
URL : https://hal.archives-ouvertes.fr/hal-00195229

X. Jia, C. Caroli, and B. Velicky, Ultrasound Propagation in Externally Stressed Granular Media, Physical Review Letters, vol.82, issue.9, p.1863, 1999.
DOI : 10.1103/PhysRevLett.82.1863
URL : https://hal.archives-ouvertes.fr/hal-00351103

S. Job, F. Melo, A. Sokolow, and S. Sen, How Hertzian Solitary Waves Interact with Boundaries in a 1D Granular Medium, Physical Review Letters, vol.94, issue.17, p.178002, 2005.
DOI : 10.1103/PhysRevLett.94.178002
URL : https://hal.archives-ouvertes.fr/hal-00624695

L. E. Wyart, S. R. Silbert, T. A. Nagel, and . Witten, 10 Records of the song of dunes may be heard at http:// www.pmmh.espci.fr/~andreotti/SongOfdunes.html 11 M. Polo, in The Description of the World Available online; see Ref. 10. 12 C. Carus-Wilson, Phys. Rev. E Nature London J. Goldsmid, Geophys. J. Nature London, vol.72, issue.222, 1908.

P. Andreotti, . Rev, . Lettm, and . Hunt, Roaming Sand Dunes, Minisymposium: Geophysical Fluid Dynamics, APS-DFD Phys. Rev. Lett, vol.93, issue.97, 2006.

A. Makse, N. Gland, D. L. Johnson, and L. M. Schwartz, 30 Except maybe in the model case of 2D ordered packing of steel beads with a controlled weak polydispersity, Phys. Rev. Lett. Phys. Rev. E Phys. Rev. Lett, vol.83, issue.90, 1999.

P. R. Goddard, . Soc, . London, and . Ser, 33 In writing this article, we became aware of a similar problem treated by another group in the special case A = 0 nonlinear elasticity; see V, Gusev, V. Aleshin, and V. Tournat, 1990.

M. Jiang and . Liu, A unified theroy of granular statics, Phys. Rev. Lett, vol.91, issue.93, 2004.

S. Deboeuf, E. Lajeunesse, O. Dauchot, and B. Andreotti, Flow Rule, Self-Channelization, and Levees in Unconfined Granular Flows, Physical Review Letters, vol.97, issue.15, p.158303, 2006.
DOI : 10.1103/PhysRevLett.97.158303
URL : https://hal.archives-ouvertes.fr/hal-00164693

S. Douady, Song of the Dunes as a Self-Synchronized Instrument, Physical Review Letters, vol.97, issue.1, p.18002, 2006.
DOI : 10.1103/PhysRevLett.97.018002
URL : https://hal.archives-ouvertes.fr/hal-00135892

P. Jop, Y. Forterre, and O. Pouliquen, Crucial role of sidewalls in granular surface flows: consequences for the rheology, Journal of Fluid Mechanics, vol.541, issue.-1, p.167, 2005.
DOI : 10.1017/S0022112005005987
URL : https://hal.archives-ouvertes.fr/hal-01432190

F. Malloggi, J. Lanuza, B. Andreotti, and E. Clement, Erosion waves: Transverse instabilities and fingering, Europhysics Letters (EPL), vol.75, issue.5, p.825, 2006.
DOI : 10.1209/epl/i2006-10174-9
URL : https://hal.archives-ouvertes.fr/hal-00164692

N. M. Vriend, Solving the mystery of booming sand dunes, Geophysical Research Letters, vol.38, issue.1, pp.10-1029, 2007.
DOI : 10.1029/2007GL030276

V. E. Gusev, V. Aleshin, and V. Tournat, Acoustic Waves in an Elastic Channel near the Free Surface of Granular Media, Physical Review Letters, vol.96, issue.21, p.214301, 2006.
DOI : 10.1103/PhysRevLett.96.214301

P. Jop, Y. Forterre, and O. Pouliquen, A constitutive law for dense granular flows, Nature, vol.94, issue.7094, p.727, 2006.
DOI : 10.1038/nature04801
URL : https://hal.archives-ouvertes.fr/hal-01432178

I. Sanchez, Spreading of a granular droplet, Physical Review E, vol.76, issue.6, p.60301, 2007.
DOI : 10.1103/PhysRevE.76.060301

M. Nosonovsky and G. G. Adams, Dilatational and shear waves induced by the frictional sliding of two elastic half-spaces, International Journal of Engineering Science, vol.39, issue.11, p.1257, 2001.
DOI : 10.1016/S0020-7225(00)00085-9

C. Caroli and B. Velick´yvelick´y, Anomalous acoustic reflection on a sliding interface or a shear band, Physical Review E, vol.67, issue.6, p.61301, 2003.
DOI : 10.1103/PhysRevE.67.061301

A. Furukawa and H. Tanaka, Violation of the incompressibility of liquid by simple shear flow, Nature, vol.35, issue.7110, pp.434-438, 2006.
DOI : 10.1038/nature05119

M. L. Dhoriyani, K. K. Jonnalagadda, R. K. Kandikatla, and K. K. Rao, Silo music: Sound emission during the flow of granular materials through tubes, Powder Technology, vol.167, issue.2, pp.55-71, 2006.
DOI : 10.1016/j.powtec.2006.06.005

K. Wildea, M. Ruckaa, and J. Tejchman, Silo music ??? Mechanism of dynamic flow and structure interaction, Powder Technology, vol.186, issue.2, pp.113-129, 2008.
DOI : 10.1016/j.powtec.2007.11.008

G. W. Baxter, R. P. Behringer, T. Fagert, and G. A. Johnson, Pattern formation in flowing sand, Physical Review Letters, vol.62, issue.24, pp.2825-2828, 1989.
DOI : 10.1103/PhysRevLett.62.2825

P. A. Johnson and X. Jia, Nonlinear dynamics, granular media and dynamic earthquake triggering, Nature, vol.437, issue.7060, pp.871-874, 2005.
DOI : 10.1038/nature04015
URL : https://hal.archives-ouvertes.fr/hal-00351091

P. A. Johnson, Effects of acoustic waves on stick???slip in granular media and implications for earthquakes, Nature, vol.104, issue.7174, pp.57-60, 2008.
DOI : 10.1038/nature06440