J. L. Auriault, Heterogeneous medium. Is an equivalent macroscopic description possible?, International Journal of Engineering Science, vol.29, issue.7, pp.785-795, 1991.
DOI : 10.1016/0020-7225(91)90001-J

J. L. Auriault and G. Bonnet, Dynamique des composites èlastiques périodiques, Arch. Mech, vol.37, pp.4-5, 1985.

A. Ávila, G. Griso, and B. Miara, Bandes phononiques interdites en ??lasticit?? lin??aris??e, Comptes Rendus Mathematique, vol.340, issue.12, pp.933-938, 2005.
DOI : 10.1016/j.crma.2005.04.026

N. O. Babych, I. V. Kamotski, and V. P. Smyshlyaev, Homogenization of spectral problems in bounded domains with doubly high contrasts, Networks Heterogen. Media, vol.3, issue.3, pp.413-436, 2008.

M. Bellieud and G. Bouchitté, Homogénéisation de problèmes elliptiques en présence de fibres de grande conductivité, C.R. Acad, 1997.

A. Bensoussan, J. L. Lions, and G. Papanicolaou, Asymptotic Analysis for Periodic Structures, 1978.

C. Boutin, Microstructural effects in elastic composites, International Journal of Solids and Structures, vol.33, issue.7, pp.1023-1051, 1996.
DOI : 10.1016/0020-7683(95)00089-5

URL : https://hal.archives-ouvertes.fr/hal-00940462

C. Boutin and J. L. Auriault, Rayleigh scattering in elastic composite materials, International Journal of Engineering Science, vol.31, issue.12, pp.31-1669, 1993.
DOI : 10.1016/0020-7225(93)90082-6

URL : https://hal.archives-ouvertes.fr/hal-00940461

C. Boutin, S. Hans, and C. Chesnais, Generalized beam and continua. Dynamics of reticulated structures Mechanics of generalized continua, pp.131-141, 2010.

C. Boutin and J. Soubestre, Generalized inner bending continua for linear fiber reinforced materials, International Journal of Solids and Structures, vol.48, issue.3-4, pp.517-534, 2011.
DOI : 10.1016/j.ijsolstr.2010.10.017

URL : https://hal.archives-ouvertes.fr/hal-00941247

D. Caillerie, The effect of a thin inclusion of high rigidity in an elastic body, Mathematical Methods in the Applied Sciences, vol.V, issue.n??2, pp.251-270, 1980.
DOI : 10.1002/mma.1670020302

R. Courant and D. Hilbert, Methods of Mathematical Physics I, eighth ed, 1970.

P. De-buhan and B. Sudret, A two-phase elastoplastic model for unidirectionally-reinforced materials, European Journal of Mechanics - A/Solids, vol.18, issue.6, pp.995-1012, 1999.
DOI : 10.1016/S0997-7538(99)00109-6

F. Dell-'isola and P. Seppecher, The relationship between Edge Contact forces, double forces and interstitial working allowed by the principle of virtual power, Comptes Rendus de L'Academie des Sciences CRAS t. 321, II b, pp.303-308, 1995.
URL : https://hal.archives-ouvertes.fr/hal-00494505

B. Gambin and E. Kröner, Higher-Order Terms in the Homogenized Stress-Strain Relation of Periodic Elastic Media, physica status solidi (b), vol.7, issue.2, pp.513-519, 1989.
DOI : 10.1002/pssb.2221510211

F. Léné, Comportement macroscopique de matériaux élastiques comportant des inclusions rigides ou des trous répartis périodiquement, C.R. Acad. Sci. Paris, Série IIB, vol.286, pp.75-78, 1978.

Z. Liu, X. Zhang, Y. Mao, Y. Y. Zhu, Z. Yang et al., Locally Resonant Sonic Materials, Science, vol.289, issue.5485, pp.1734-1736, 2000.
DOI : 10.1126/science.289.5485.1734

C. Pideri and P. Seppecher, Un r??sultat d'homog??n??isation pour un mat??riau ??lastique renforc?? p??riodiquement par des fibres ??lastiques de tr??s grande rigidit??, Comptes Rendus de l'Acad??mie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy, vol.324, issue.8, pp.475-481, 1997.
DOI : 10.1016/S1251-8069(97)80185-6

M. Postel, Réponse sismique de fondations sur pieux, 1985.

E. Sanchez-palencia, Nonhomogeneous media and vibration theory, Lectures Notes in Physics, vol.127, 1980.

V. P. Smyshlyaev, Propagation and localization of elastic waves in highly anisotropic periodic composites via two-scale homogenization, Mechanics of Materials, vol.41, issue.4, pp.434-447, 2009.
DOI : 10.1016/j.mechmat.2009.01.009

J. Soubestre, C. Boutin, M. S. Dietz, L. Dihoru, S. Hans et al., Dynamic Behaviour of Reinforced Soils ??? Theoretical Modelling and Shaking Table Experiments, Geotech. Geolog. Earthquake Eng, vol.22, pp.247-263, 2011.
DOI : 10.1007/978-94-007-1977-4_13

J. O. Vasseur, P. A. Deymier, G. Prantziskonis, and G. Hong, Experimental evidence for the existence of absolute acoustic band gaps in two-dimensional periodic composite media, Journal of Physics: Condensed Matter, vol.10, issue.27, pp.6051-6064, 1998.
DOI : 10.1088/0953-8984/10/27/006

V. V. Zhikov, On an extension of the method of two-scale convergence and its applications, Sbornik: Mathematics, vol.191, issue.7, pp.7-8, 2000.
DOI : 10.1070/SM2000v191n07ABEH000491