E. Cosserat and F. Cosserat, Théorie des Corps Déformables (Hermann et Fils, 1909.

A. Eringen, Microcontinuum Field Theories. I. Foundations and Solids, 1999.
DOI : 10.1007/978-1-4612-0555-5

R. Lakes, Continuum Models for Materials with Microstructure, 1995.

W. Nowacki, Theory of Asymmetric Elasticity, 1986.

E. Pasternak and A. Dyskin, Mechanics of Generalized Continua: One Hundred Years After the Cosserat, 2010.

A. Kiris and E. Inan, On the identification of microstretch elastic moduli of materials by using vibration data of plates, International Journal of Engineering Science, vol.46, issue.6, p.585, 2008.
DOI : 10.1016/j.ijengsci.2008.01.001

R. D. Gauthier, Mechanics of Micropolar Media, 1982.

, aps.org/ supplemental/10.1103/PhysRevLett.107.225502 for details on the Cosserat and discrete models, experimental setup and a note on the bibliography

I. Pavlov, A. I. Potapov, and G. A. Maugin, A 2D granular medium with rotating particles, International Journal of Solids and Structures, vol.43, issue.20, p.6194, 2006.
DOI : 10.1016/j.ijsolstr.2005.06.012

J. Duffy, R. D. Mindlin, and J. , Appl. Mech, vol.24, p.585, 1957.

V. F. Nesterenko, Dynamics of Heterogeneous Materials, 2001.

L. M. Schwartz, D. L. Johnson, and S. Feng, Vibrational Modes in Granular Materials, Physical Review Letters, vol.16, issue.10, p.831, 1984.
DOI : 10.1103/PhysRevB.16.2400

A. Merkel, V. Tournat, and V. Gusev, Dispersion of elastic waves in three-dimensional noncohesive granular phononic crystals: Properties of rotational modes, Physical Review E, vol.24, issue.3, p.31305, 2010.
DOI : 10.1016/0045-7825(91)90185-9

K. L. Johnson, Contacts Mechanics, 1985.

A. S. Suiker, A. V. Metrikine, and R. De-borst, Comparison of wave propagation characteristics of the Cosserat continuum model and corresponding discrete lattice models, International Journal of Solids and Structures, vol.38, issue.9, p.1563, 2001.
DOI : 10.1016/S0020-7683(00)00104-9

Z. Liu, Locally Resonant Sonic Materials, Science, vol.289, issue.5485, p.1734, 2000.
DOI : 10.1126/science.289.5485.1734

Z. Liu, C. T. Chan, P. Sheng, A. L. Goertzen, and J. H. Page, Elastic wave scattering by periodic structures of spherical objects: Theory and experiment, Physical Review B, vol.60, issue.4, p.2446, 2000.
DOI : 10.1103/PhysRevB.60.11993

S. Yang, Ultrasound Tunneling through 3D Phononic Crystals, Physical Review Letters, vol.341, issue.10, p.104301, 2002.
DOI : 10.1038/341567a0

W. Cheng, Nature Mater, vol.5, issue.830, 2006.

T. Still, Phys. Rev. Lett, vol.100, 2008.

A. V. Akimov, Hypersonic Modulation of Light in Three-Dimensional Photonic and Phononic Band-Gap Materials, Physical Review Letters, vol.13, issue.3, p.33902, 2008.
DOI : 10.1016/j.wavemoti.2007.02.009

M. De-billy, Frequency analysis of the acoustic signal transmitted through a one-dimensional chain of metallic spheres, The Journal of the Acoustical Society of America, vol.110, issue.2, p.710, 2001.
DOI : 10.1121/1.1385179

J. Anfosso and V. Gibiat, Europhys. Lett, vol.67, issue.376, 2004.

J. H. Page, Phys. Status Solidi (b), vol.241, issue.3454, 2004.

L. J. Raubenheimer and G. Gilat, Accurate Numerical Method of Calculating Frequency Distribution Functions in Solids. II. Extension to hcp Crystals, Physical Review, vol.150, issue.3, p.586, 1967.
DOI : 10.1103/PhysRev.150.487

M. T. Dove, Introduction to Lattice Dynamics, 1993.

P. Flandrin, Time-Frequency/Time-Scale Analysis, 1999.

S. Minagawa, K. Arakawa, M. Yamada, and . Bull, Dispersion Curves for Waves in a Cubic Micropolar Medium with Reference to Estimations of the Material Constants for Diamond, Bulletin of JSME, vol.24, issue.187, p.22, 1981.
DOI : 10.1299/jsme1958.24.22

A. S. Suiker, R. De-borst, C. S. Chang, and A. Mech, , p.181, 2001.

C. S. Chang and J. Giao, Non-linear dispersion of plane wave in granular media, International Journal of Non-Linear Mechanics, vol.30, issue.2, p.111, 1995.
DOI : 10.1016/0020-7462(94)00039-D

H. Mühlhaus and F. Oka, Dispersion and wave propagation in discrete and continuous models for granular materials, International Journal of Solids and Structures, vol.33, issue.19, p.2841, 1996.
DOI : 10.1016/0020-7683(95)00178-6

P. H. Week, PRL, vol.107, pp.225502-225502, 2011.