Microstructurally-based homogenization of electromagnetic properties of periodic media, Comptes Rendus M??canique, vol.336, issue.1-2, pp.24-33, 2008. ,
DOI : 10.1016/j.crme.2007.10.012
Higher order asymptotic homogenization and wave propagation in periodic composite materials, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.191, issue.2024, pp.1181-1201, 2008. ,
DOI : 10.1098/rspa.2001.0948
Dynamics of periodic elastic composites (Dynamique des composites elastiques periodiques), Archiwum Mechaniki Stosowanej, vol.37, pp.269-284, 1985. ,
Long wavelength inner-resonance cut-off frequencies in elastic composite materials, International Journal of Solids and Structures, vol.49, issue.23-24, pp.3269-3281, 2012. ,
DOI : 10.1016/j.ijsolstr.2012.07.002
Équations intégrales et éléments de frontière: applications en mécanique des solides et des fluides. Collection Sciences et techniques de l'ingénieur, 1995. ,
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
Rayleigh scattering in elastic composite materials, International Journal of Engineering Science, vol.31, issue.12, pp.1669-1689, 1993. ,
DOI : 10.1016/0020-7225(93)90082-6
URL : https://hal.archives-ouvertes.fr/hal-00940461
Wave propagation in periodic structures: Electric filters and crystal lattices, 1953. ,
Acoustic cloaking and transformation acoustics, Journal of Physics D: Applied Physics, vol.43, issue.11, 2010. ,
DOI : 10.1088/0022-3727/43/11/113001
High-frequency homogenization for periodic media, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.26, issue.5685, pp.2341-2362, 2010. ,
DOI : 10.1126/science.1096796
URL : http://rspa.royalsocietypublishing.org/content/royprsa/466/2120/2341.full.pdf
Current-driven metamaterial homogenization, Physica B: Condensed Matter, vol.405, issue.14, pp.2930-2934, 2010. ,
DOI : 10.1016/j.physb.2010.01.006
A tutorial survey on waves propagating in periodic media: Electronic, photonic and phononic crystals. Perception of the Bloch theorem in both real and Fourier domains, Wave Motion, vol.50, issue.3, pp.619-654, 2013. ,
DOI : 10.1016/j.wavemoti.2012.12.010
URL : https://hal.archives-ouvertes.fr/hal-00808153
Micro-/Nanostructured Mechanical Metamaterials, Advanced Materials, vol.106, issue.36, pp.4782-4810, 2012. ,
DOI : 10.1002/adma.201201644
Multi-displacement microstructure continuum modeling of anisotropic elastic metamaterials, Wave Motion, vol.49, issue.3, pp.411-426 ,
DOI : 10.1016/j.wavemoti.2011.12.006
Locally Resonant Sonic Materials, Science, vol.289, issue.5485, pp.1734-1740, 2000. ,
DOI : 10.1126/science.289.5485.1734
On cloaking for elasticity and physical equations with a transformation invariant form, New Journal of Physics, vol.8, issue.10, pp.248-248, 2006. ,
DOI : 10.1088/1367-2630/8/10/248
URL : https://hal.archives-ouvertes.fr/hal-00452194
On modifications of Newton's second law and linear continuum elastodynamics, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.463, issue.2079, pp.855-880, 2007. ,
DOI : 10.1098/rspa.2006.1795
Minimum variational principles for time-harmonic waves in a dissipative medium and associated variational principles of Hashin-Shtrikman type, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.6, issue.2102, pp.3013-3032, 2010. ,
DOI : 10.1098/rspa.2008.0195
Overall dynamic constitutive relations of layered elastic composites, Journal of the Mechanics and Physics of Solids, vol.59, issue.10, pp.1953-1965, 2011. ,
DOI : 10.1016/j.jmps.2011.07.008
Bounds on effective dynamic properties of elastic composites, Journal of the Mechanics and Physics of Solids, vol.61, issue.1, pp.254-264, 2013. ,
DOI : 10.1016/j.jmps.2012.07.003
Homogenization of periodic elastic composites and locally resonant sonic materials, Physical Review B, vol.83, issue.10, pp.1-8, 2011. ,
DOI : 10.1103/PhysRevB.83.104103
Acoustic cloaking theory, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.43, issue.5801, pp.2411-2434, 2008. ,
DOI : 10.1126/science.1133628
URL : http://arxiv.org/abs/0805.0080
Elastic cloaking theory, Wave Motion, vol.48, issue.6, pp.525-538, 2011. ,
DOI : 10.1016/j.wavemoti.2011.03.002
URL : http://arxiv.org/abs/1103.6045
Analytical formulation of three-dimensional dynamic homogenization for periodic elastic systems, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.467, issue.2131, pp.1629-1651, 2012. ,
DOI : 10.1098/rspa.2010.0620
Transient computational homogenization for heterogeneous materials under dynamic excitation, Journal of the Mechanics and Physics of Solids, vol.61, issue.11, pp.2125-2146, 2013. ,
DOI : 10.1016/j.jmps.2013.07.005
Physique des matériaux: cours et problèmes. X Ecole Polytechnique, 1988. ,
Effective Willis constitutive equations for periodically stratified anisotropic elastic media, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.41, issue.1, pp.1749-1769, 2011. ,
DOI : 10.1121/1.1488942
Bloch material parameters of magneto-dielectric metamaterials and the concept of Bloch lattices, Metamaterials, vol.1, issue.2, pp.62-80, 2007. ,
DOI : 10.1016/j.metmat.2007.09.002
On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media, Journal of the Mechanics and Physics of Solids, vol.48, issue.6-7, pp.1325-1357, 2000. ,
DOI : 10.1016/S0022-5096(99)00090-3
Overall dynamic properties of three-dimensional periodic elastic composites, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.467, issue.2131, pp.269-287, 2011. ,
DOI : 10.1098/rspa.2010.0620
On the limit and applicability of dynamic homogenization, Wave Motion, vol.51, issue.7, 2014. ,
DOI : 10.1016/j.wavemoti.2014.04.003
Polarization approach to the scattering of elastic waves???I. Scattering by a single inclusion, Journal of the Mechanics and Physics of Solids, vol.28, issue.5-6, pp.287-305, 1980. ,
DOI : 10.1016/0022-5096(80)90021-6
A polarization approach to the scattering of elastic waves???II. Multiple scattering from inclusions, Journal of the Mechanics and Physics of Solids, vol.28, issue.5-6, pp.307-327, 1980. ,
DOI : 10.1016/0022-5096(80)90022-8
Variational principles for dynamic problems for inhomogeneous elastic media, Wave Motion, vol.3, issue.1, pp.1-11, 1981. ,
DOI : 10.1016/0165-2125(81)90008-1
The nonlocal influence of density variations in a composite, International Journal of Solids and Structures, vol.21, issue.7, pp.805-817, 1985. ,
DOI : 10.1016/0020-7683(85)90084-8
Exact effective relations for dynamics of a laminated body, Mechanics of Materials, vol.41, issue.4, pp.385-393, 2009. ,
DOI : 10.1016/j.mechmat.2009.01.010
Effective constitutive relations for waves in composites and metamaterials, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.41, issue.2079, pp.1865-1879, 2011. ,
DOI : 10.1098/rspa.2006.1795
The construction of effective relations for waves in a composite, Comptes Rendus M??canique, vol.340, issue.4-5, pp.181-192, 2012. ,
DOI : 10.1016/j.crme.2012.02.001