R. Lucie, Modélisation vibro-acoustique de structures sandwi munies de matériaux viscoélastiques, Conservatoire National des Arts et Métiers (CNAM), 2013.

E. M. Daya and M. Potier-ferry, Vibrations of long repetitive structures by a double scale asymptotic method, Structural Engineering and Mechanics, vol.12, issue.2, pp.203-215, 2001.
DOI : 10.12989/sem.2001.12.2.215

N. Moustaghfir, E. M. Daya, B. Braikat, N. Damil, and M. Potier-ferry, Evaluation of continuous modelings for the modulated vibration modes of long repetitive structures, International Journal of Solids and Structures, vol.44, issue.21, pp.7061-7072, 2007.
DOI : 10.1016/j.ijsolstr.2007.03.023

K. Attipou, S. Nezamabadi, H. Daya, and . Zahrouni, A multiscale approach for the vibration analysis of heterogeneous materials: Application to passive damping, Journal of Sound and Vibration, vol.332, issue.4, pp.725-739, 2013.
DOI : 10.1016/j.jsv.2012.10.020

URL : https://hal.archives-ouvertes.fr/hal-00858653

M. Bilasse, I. Charpentier, Y. Daya, and . Koutsawa, A generic approach for the solution of nonlinear residual equations. Part II: Homotopy and complex nonlinear eigenvalue method, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.49-52, pp.49-523999, 2009.
DOI : 10.1016/j.cma.2009.09.015

T. Naciri, P. Navi, and A. Ehrlacher, Harmonic wave propagation in viscoelastic heterogeneous materials Part II: Effective complex moduli, Mechanics of Materials, vol.18, issue.4, pp.335-350, 1994.
DOI : 10.1016/0167-6636(94)90043-4

Y. Yi, S. Park, and S. Youn, Asymptotic homogenization of viscoelastic composites with periodic microstructures, International Journal of Solids and Structures, vol.35, issue.17, pp.2039-2055, 1998.
DOI : 10.1016/S0020-7683(97)00166-2

L. C. Brinson and W. S. Lin, Comparison of micromechanics methods for effective properties of multiphase viscoelastic composites, Composite Structures, vol.41, issue.3-4, pp.353-367, 1998.
DOI : 10.1016/S0263-8223(98)00019-1

Y. P. Lu, J. W. Killian, and G. C. Everstine, Vibrations of three layered damped sandwich plate composites, Journal of Sound and Vibration, vol.64, issue.1, pp.63-71, 1979.
DOI : 10.1016/0022-460X(79)90572-8

C. D. Jonhson, D. A. Kienholz, and L. C. Rogers, Finite element prediction of damping in beams with constrained viscoelastic layers, Shock and Vibration Bulletin, vol.51, pp.71-81, 1981.

M. L. Soni, Finite element analysis of viscoelastically damped damped structures, Shock and Vibration Bulletin, vol.55, issue.1, pp.97-109, 1981.

E. M. Daya and M. Potier-ferry, A shell finite element for viscoelastically damped sandwich structures, Revue Europ??enne des ??l??ments Finis, vol.94, issue.1, pp.39-56, 2002.
DOI : 10.1115/1.3422825

E. Ioannides and P. Grootenhuis, A finite element analysis of the harmonic response of damped three-layer plates, Journal of Sound and Vibration, vol.67, issue.2, pp.203-218, 1979.
DOI : 10.1016/0022-460X(79)90484-X

B. Ma and J. He, A finite element analysis of viscoelastically damped sandwich plates, Journal of Sound and Vibration, vol.152, issue.1, pp.107-123, 1992.
DOI : 10.1016/0022-460X(92)90068-9

R. Rickards, A. Chate, and E. Barkanov, Finite element analysis of damping the vibrations of laminated composites, Computers & Structures, vol.47, issue.6, pp.1005-1015, 1993.
DOI : 10.1016/0045-7949(93)90305-W

M. Bilasse, E. M. Daya, and L. Azrar, Linear and nonlinear vibrations analysis of viscoelastic sandwich beams, Journal of Sound and Vibration, vol.329, issue.23, pp.4950-4969, 2010.
DOI : 10.1016/j.jsv.2010.06.012

F. Abdoun, L. Azrar, E. M. Daya, and M. Potier-ferry, Forced harmonic response of viscoelastic structures by an asymptotic numerical method, Computers & Structures, vol.87, issue.1-2, pp.91-100, 2009.
DOI : 10.1016/j.compstruc.2008.08.006

M. Bilasse, Modélisation numérique des vibrations linéaires et non linéaires des structures sSandwichàâmesSandwichàsSandwichàâme viscoélastique, 2010.

K. J. Bathe, Finite Element Procedures in Engineering Analysis, Journal of Pressure Vessel Technology, vol.106, issue.4, 1982.
DOI : 10.1115/1.3264375

L. Duigou, Modélisation numérique de l'amortissement passif et actif des tôles sandwich comportant des couches viscoélastiques ou piézoélectriques, 2002.

X. Chen, C. H. Hu, and X. L. , Damping Prediction of Sandwich Structures by Order-Reduction-Iteration Approach, Journal of Sound and Vibration, vol.222, issue.5, p.803812, 1999.
DOI : 10.1006/jsvi.1998.2131

C. Lanczos, An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, Journal of Research of the National Bureau of Standards, vol.45, issue.4, p.255282, 1950.
DOI : 10.6028/jres.045.026

URL : https://hal.archives-ouvertes.fr/hal-01712947

H. Voss, An Arnoldi Method for Nonlinear Eigenvalue Problems, BIT Numerical Mathematics, vol.44, issue.2, p.387401, 2004.
DOI : 10.1023/B:BITN.0000039424.56697.8b

W. E. Arnoldi, The principle of minimized iterations in the solution of the matrix eigenvalue problem, Quarterly of Applied Mathematics, vol.9, issue.1, pp.17-29, 1951.
DOI : 10.1090/qam/42792

URL : https://hal.archives-ouvertes.fr/hal-01712943

E. M. Daya and M. Potier-ferry, A numerical method for nonlinear eigenvalue problems application to vibrations of viscoelastic structures, Computers & Structures, vol.79, issue.5, pp.533-541, 2001.
DOI : 10.1016/S0045-7949(00)00151-6

. Lt, . Duigou, M. Daya, and . Potier-ferry, Iterative algorithms for non-linear eigenvalue problems. application to vibrations of viscoelastic shells, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.11â12, pp.1323-1335, 2003.

I. Charpentier and M. Potier-ferry, Diff??rentiation automatique de la m??thode asymptotique num??rique typ??e : l'approche Diamant, Comptes Rendus M??canique, vol.336, issue.3, pp.336-340, 2008.
DOI : 10.1016/j.crme.2007.11.022

Y. Koutsawa, I. Charpentier, E. M. Daya, and M. Cherkaoui, A generic approach for the solution of non linear residual equations. part i : The diamant toolbox, Computer Methods in Applied Mechanics and Engineering, vol.198, pp.3-4572, 2008.

E. M. Daya, Vibration des longues structures flexiblesàflexiblesà forme répétitive, 1994.

A. L. Kalamkarov, Composite and reinforced elements of construction, 1992.

A. G. Kolpakov and A. L. Kalamkarov, Homogenized thermoelastic model for a beam of a periodic structure, International Journal of Engineering Science, vol.37, issue.5, pp.631-642, 1999.
DOI : 10.1016/S0020-7225(98)00066-4

D. Briassoulis, Equivalent orthotropic properties of corrugated sheets, Computers & Structures, vol.23, issue.2, pp.129-138, 1986.
DOI : 10.1016/0045-7949(86)90207-5

N. Buannic, P. Cartraud, and T. Quesnel, Homogenization of corrugated core sandwich panels, Composite Structures, vol.59, issue.3, pp.299-312, 2003.
DOI : 10.1016/S0263-8223(02)00246-5

N. Moës, M. Cloirec, P. Cartraud, and J. F. Remacle, A computational approach to handle complex microstructure geometries, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.28-30, pp.3163-3177, 2003.
DOI : 10.1016/S0045-7825(03)00346-3

P. Cartraud and T. Messager, Computational homogenization of periodic beam-like structures, International Journal of Solids and Structures, vol.43, issue.3-4, pp.686-696
DOI : 10.1016/j.ijsolstr.2005.03.063

URL : https://hal.archives-ouvertes.fr/hal-01005985

J. Yeh and L. Chen, Wave propagations of a periodic sandwich beam by FEM and the transfer matrix method, Composite Structures, vol.73, issue.1, pp.53-60, 2006.
DOI : 10.1016/j.compstruct.2005.01.026

A. K. Noor, Continuum Modeling for Repetitive Lattice Structures, Applied Mechanics Reviews, vol.41, issue.7, pp.285-296, 1988.
DOI : 10.1115/1.3151907

G. Moreau and D. Caillerie, Continuum modeling of lattice structures in large displacement applications to buckling analysis, Computers & Structures, vol.68, issue.1-3, pp.181-189, 1998.
DOI : 10.1016/S0045-7949(98)00041-8

URL : https://hal.archives-ouvertes.fr/hal-00482737

N. Damil and M. Potier-ferry, Influence of local wrinkling on membrane behaviour: A new approach by the technique of slowly variable Fourier coefficients, Journal of the Mechanics and Physics of Solids, vol.58, issue.8, pp.1139-1153, 2010.
DOI : 10.1016/j.jmps.2010.04.002

K. El-mostafa-daya, M. Jeblaoui, and . Potier-ferry, A two scale method for modulated vibration modes of large, nearly repetitive, structures, Comptes Rendus M??canique, vol.331, issue.6, pp.443-448, 2003.
DOI : 10.1016/S1631-0721(03)00093-7

J. Sanchez-hubert and E. Sanchez-palencia, Vibrating and coupling continuous systems, asymptotic methods, 1989.

R. V. Craster, J. Kaplunov, and A. V. Pichugin, High-frequency homogenization for periodic media, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.26, issue.5685, pp.2241-2362, 2010.
DOI : 10.1126/science.1096796

E. Nolde, R. V. Craster, and J. Kaplunov, High frequency homogenization for structural mechanics, Journal of the Mechanics and Physics of Solids, vol.59, issue.3, pp.651-671, 2011.
DOI : 10.1016/j.jmps.2010.12.004

J. D. Eshelby, The determination of the elastic field of an ellipsoidal inclusion and related problems, Proceedings of the Royal Society A, vol.241, p.376396, 1957.

C. Q. Ru, Eshelby inclusion of arbitrary shape in an anisotropic plane or halfplane, Acta Mech, vol.160, issue.3-4, p.219234, 2003.

J. Y. Li and M. L. Dunn, Anisotropic coupled-field inclusion and inhomogeneity problems, Philosophical Magazine A, vol.59, issue.5, p.13411350, 1998.
DOI : 10.1080/01418618908209819

D. A. Faux and G. S. Pearson, Green???s tensors for anisotropic elasticity:??????Application to quantum dots, Physical Review B, vol.75, issue.8, pp.4798-4801, 2000.
DOI : 10.1063/1.125563

Y. P. Chiu, On the Stress Field Due to Initial Strains in a Cuboid Surrounded by an Infinite Elastic Space, Journal of Applied Mechanics, vol.44, issue.4, p.587590, 1977.
DOI : 10.1115/1.3424140

G. J. Rodin, Eshelby's inclusion problem for polygons and polyhedra, Journal of the Mechanics and Physics of Solids, vol.44, issue.12, pp.1977-1995, 1996.
DOI : 10.1016/S0022-5096(96)00066-X

H. Nozaki and M. Taya, Elastic Fields in a Polyhedral Inclusion With Uniform Eigenstrains and Related Problems, Journal of Applied Mechanics, vol.21, issue.3, pp.441-452, 2001.
DOI : 10.1016/0001-6160(73)90064-3

Z. Hashin, The elastic moduli of heterogeneous materials, J. Appl. Mech, vol.29, p.143150, 1962.

B. Budiansky, On the elastic moduli of some heterogeneous materials, Journal of the Mechanics and Physics of Solids, vol.13, issue.4, p.223227, 1965.
DOI : 10.1016/0022-5096(65)90011-6

T. Mori and K. Tanaka, Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metallurgica, vol.21, issue.5, p.571574, 1973.
DOI : 10.1016/0001-6160(73)90064-3

A. V. Hershey, The elasticity of an isotropic aggregate of anisotropic cubic crystals, J. Appl. Mech, vol.21, pp.226-240, 1954.

R. Hill, A self-consistent mechanics of composite materials, Journal of the Mechanics and Physics of Solids, vol.13, issue.4, p.213222, 1965.
DOI : 10.1016/0022-5096(65)90010-4

R. M. Christensen and K. H. Lo, Solutions for effective shear properties in three phase sphere and cylinder models, Journal of the Mechanics and Physics of Solids, vol.27, issue.4, pp.315-330, 1979.
DOI : 10.1016/0022-5096(79)90032-2

J. W. Hutchinson, Bounds and Self-Consistent Estimates for Creep of Polycrystalline Materials, Proceedings of the Royal Society A, pp.348-101127, 1976.
DOI : 10.1098/rspa.1976.0027

M. Berveiller and A. Zaoui, An extension of the self-consistent scheme to plastically-flowing polycrystals, Journal of the Mechanics and Physics of Solids, vol.26, issue.5-6, p.325344, 1979.
DOI : 10.1016/0022-5096(78)90003-0

A. L. Gurson, Continuum theory of ductile rupture by void nucleation and growth, Journal of Engineering Materials and Technology, vol.99, p.215, 1977.

Z. Hashin and S. Shtrikman, A variational approach to the theory of the elastic behaviour of multiphase materials, Journal of the Mechanics and Physics of Solids, vol.11, issue.2, p.127140, 1963.
DOI : 10.1016/0022-5096(63)90060-7

Z. Hashin, Analysis of Composite Materials???A Survey, Journal of Applied Mechanics, vol.50, issue.3, p.481505, 1983.
DOI : 10.1115/1.3167081

J. R. Willis, Variational and Related Methods for the Overall Properties of Composites, Adv. Appl. Mech, vol.21, p.178, 1981.
DOI : 10.1016/S0065-2156(08)70330-2

P. , P. Castañeda, and P. Suquet, Nonlinear composites, Adv. Appl. Mech, vol.34, p.171302, 1998.

J. R. Willis, The overall response of nonlinear composite media, European Journal of Mechanics A, Solids, vol.19, p.165184, 2000.

G. A. Papanicolaou, J. Bensoussan, and . Lionis, Asymptotic analysis for periodic structures, 1978.

E. Sanchez-palencia, Non-homogeneous media and vibration theory, in : Lecture notes in physics, 1980.

A. Toledano and H. Murakami, A high-order mixture model for periodic particulate composites, International Journal of Solids and Structures, vol.23, issue.7, p.9891002, 1987.
DOI : 10.1016/0020-7683(87)90092-8

F. Devries, H. Dumontet, G. Duvaut, and F. Lene, Homogenization and damage for composite structures, International Journal for Numerical Methods in Engineering, vol.11, issue.2, p.285298, 1989.
DOI : 10.1002/nme.1620270206

S. J. Hollister and N. Kikuchi, A comparison of homogenization and standard mechanics analysis for periodic porous composites, Comput. Mech, vol.10, p.7395, 1992.

J. Fish, Q. Yu, and K. Shek, Computational damage mechanics for composite materials based on mathematical homogenisation, Int. J. Numer. Meth. Engrg, vol.45, p.16571679, 1999.

S. Nemat-nasser and M. Hori, Micromechanics: Overall Properties of Heterogeneous Materials, Journal of Applied Mechanics, vol.63, issue.2, 1993.
DOI : 10.1115/1.2788912

T. Christman, A. Needleman, and S. Suresh, An experimental and numerical study of deformation in metal-ceramic composites, Acta Metallurgica, vol.37, issue.11, p.30293050, 1989.
DOI : 10.1016/0001-6160(89)90339-8

V. Tvergaard, Analysis of tensile properties for a whisker-reinforced metal-matrix composite, Acta Metallurgica et Materialia, vol.38, issue.2, pp.185-194, 1990.
DOI : 10.1016/0956-7151(90)90048-L

G. Bao, J. W. Hutchinson, and R. M. Mcmeeking, Plastic reinforcement of ductile materials against plastic flow and creep, Acta Metall. Mater, issue.8, pp.391871-1882, 1991.

J. R. Brockenbrough, S. Suresh, and H. A. Wienecke, Deformation of metal-matrix composites with continuous fibers: geometrical effects of fiber distribution and shape, Acta Metallurgica et Materialia, vol.39, issue.5, pp.735-752, 1991.
DOI : 10.1016/0956-7151(91)90274-5

T. Nakamura and S. Suresh, Effects of thermal residual stresses and fiber packing on deformation of metal-matrix composites, Acta Metallurgica et Materialia, vol.41, issue.6, pp.1665-1681, 1993.
DOI : 10.1016/0956-7151(93)90186-V

R. K. Patel, B. Bhattacharya, and S. Basu, A finite element based investigation on obtaining high material damping over a large frequency range in viscoelastic composites, Journal of Sound and Vibration, vol.303, issue.3-5, p.753766, 2007.
DOI : 10.1016/j.jsv.2007.02.010

P. M. Suquet, Local and global aspects in the mathematical theory of plasticity

J. Renard and M. F. Marmonier, Etude de linitiation de lendommagement dans la matrice dun matériau composite par une méthode dhomogénisation, Aerospace Science and Technology, vol.9, p.3751, 1987.

J. M. Guedes and N. Kikuchi, Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods, Computer Methods in Applied Mechanics and Engineering, vol.83, issue.2, pp.143-198, 1990.
DOI : 10.1016/0045-7825(90)90148-F

K. Terada and N. Kikuchi, Nonlinear homogenization method for practical applications, Computational Methods in Micromechanics, AMD, pp.1-16, 1995.

R. J. Smit, W. A. Brekelmans, and H. E. Meijer, Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling, Computer Methods in Applied Mechanics and Engineering, vol.155, issue.1-2, pp.181-192, 1998.
DOI : 10.1016/S0045-7825(97)00139-4

C. Miehe, J. Schotte, and J. Schröder, Computationalmicro-macro transitions and overall moduli in the analysis of polycrystals at large strains

C. Miehe, J. Schotte, and J. Schröder, Computational homogenization analysis in finite plasticity Simulation of texture development in polycrystalline materials, Computer Methods in Applied Mechanics and Engineering, vol.171, issue.3-4
DOI : 10.1016/S0045-7825(98)00218-7

J. C. Michel, H. Moulinec, and P. Suquet, Effective properties of composite materials with periodic microstructure: a computational approach, Computer Methods in Applied Mechanics and Engineering, vol.172, issue.1-4
DOI : 10.1016/S0045-7825(98)00227-8

F. Feyel and J. Chaboche, Fe 2 multiscale approach for modeling the elastoviscoplastic behaviour of long fiber sic/ti composite materials, Comput. Methods Appl. Mech. Engrg, vol.183, p.309330, 2000.

K. Terada and N. Kikuchi, A class of general algorithms for multi-scale analyses of heterogeneous media, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.40-41, pp.5427-5464, 2001.
DOI : 10.1016/S0045-7825(01)00179-7

S. Ghosh, K. Lee, and P. Raghavan, A multi-level computational model for multi-scale damage analysis in composite and porous materials, International Journal of Solids and Structures, vol.38, issue.14, pp.2335-2385, 2001.
DOI : 10.1016/S0020-7683(00)00167-0

V. Kouznetsova, W. A. Brekelmans, and F. P. Baaijens, An approach to micro-macro modeling of heterogeneous materials, Computational Mechanics, vol.27, issue.1, pp.37-48, 2001.
DOI : 10.1007/s004660000212

C. Miehe and A. Koch, Computational micro-to-macro transitions of discretized microstructures undergoing small strains, Archive of Applied Mechanics (Ingenieur Archiv), vol.72, issue.4-5, pp.300-317, 2002.
DOI : 10.1007/s00419-002-0212-2

H. Moulinec and P. Suquet, A numerical method for computing the overall response of nonlinear composites with complex microstructure, Computer Methods in Applied Mechanics and Engineering, vol.157, issue.1-2, pp.69-94, 1998.
DOI : 10.1016/S0045-7825(97)00218-1

URL : https://hal.archives-ouvertes.fr/hal-01282728

Z. Hashin, Viscoelastic Behavior of Heterogeneous Media, Journal of Applied Mechanics, vol.32, issue.3, p.630636, 1965.
DOI : 10.1115/1.3627270

R. M. Christensen, Viscoelastic properties of heterogeneous media, Journal of the Mechanics and Physics of Solids, vol.17, issue.1, pp.23-41, 1969.
DOI : 10.1016/0022-5096(69)90011-8

J. Salençon, Cours de calcul des structures anélastiques. viscoélasticité, 1983.

W. Peter, . Chung, K. Kumar, R. R. Tamma, and . Namburu, A micro/macro homogenization approach for viscoelastic creep analysis with dissipative correctors for heterogeneous woven-fabric layered media, Composites Science and Technology, vol.60, issue.12â13, pp.2233-2253, 2000.

M. R. Haberman, Y. Berthelot, J. Jarzynski, and M. Cherkaoui, Micromechanical modeling of viscoelastic voided composites in the low-frequency approximation, The Journal of the Acoustical Society of America, vol.112, issue.5, p.19371943, 2002.
DOI : 10.1121/1.1509424

M. Cherkaoui, H. Sabar, and M. Berveiller, Micromechanical Approach of the Coated Inclusion Problem and Applications to Composite Materials, Journal of Engineering Materials and Technology, vol.116, issue.3, p.274278, 1994.
DOI : 10.1115/1.2904286

Y. Koutsawa, M. Cherkaoui, and E. M. Daya, Multicoating Inhomogeneities Problem for Effective Viscoelastic Properties of Particulate Composite Materials, ) :[Note(s), pp.21012-21013, 2009.
DOI : 10.1103/PhysRevE.72.031801

P. Lipinski, E. H. Barhdadi, and M. Cherkaoui, Micromechanical modeling of an arbitrary ellipsoidal multi-coated inclusion, Philosophical Magazine, vol.86, issue.10, p.13051326, 2006.

A. E. Love, The mathematical theory of elasticity, 1927.
URL : https://hal.archives-ouvertes.fr/hal-01307751

E. Reissner, The effect of transverse shear deformation on the bending of elastic plates, Journal of Applied Mechanics, vol.12, pp.69-76, 1945.

R. D. Mindlin, Influence of rotatory inertia effect and shear deformation in flexural motions of isotropic elastic plates, Journal of Applied Mechanics, vol.18, pp.1031-1036, 1951.

J. N. Reddy, A Simple Higher-Order Theory for Laminated Composite Plates, Journal of Applied Mechanics, vol.51, issue.4, pp.745-752, 1984.
DOI : 10.1115/1.3167719

M. Touratier, An efficient standard plate theory, International Journal of Engineering Science, vol.29, issue.8, pp.901-916, 1991.
DOI : 10.1016/0020-7225(91)90165-Y

H. Hu, S. Belouettar, M. Potier-ferry, and . Daya, Review and assessment of various theories for modeling sandwich composites, Composite Structures, vol.84, issue.3, pp.282-292, 2008.
DOI : 10.1016/j.compstruct.2007.08.007

D. K. Rao, Frequency and Loss Factors of Sandwich Beams under Various Boundary Conditions, Journal of Mechanical Engineering Science, vol.78, issue.5, p.271282, 1978.
DOI : 10.1121/1.1903243

Y. Koutsawa and E. Daya, Static and free vibration analysis of laminated glass beam on viscoelastic supports, International Journal of Solids and Structures, vol.44, issue.25-26, pp.8735-8750, 2007.
DOI : 10.1016/j.ijsolstr.2007.07.009

C. Bruno, D. Noureddine, and P. Michel, Méthode asymptotique numérique : une technique de résolution deséquationsdeséquations non linéaires, 2007.

I. Charpentier, A. Lejeune, and M. Potier-ferry, The diamant library for an efficient automatic differentiation of the asymptotic numerical method. advances in automatic differentiation, Lecture Notes in Computational Science and engineering, pp.139-149, 2008.

R. Hill, Elastic properties of reinforced solids: Some theoretical principles, Journal of the Mechanics and Physics of Solids, vol.11, issue.5, pp.357-372, 1963.
DOI : 10.1016/0022-5096(63)90036-X

V. Kouznetsova, Computational homogenization for the multi-scale Analysis of multi-phase materials, 2002.

C. Miehe, Computational micro-to-macro transitions for discretized micro-structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.5-6, pp.559-591, 2003.
DOI : 10.1016/S0045-7825(02)00564-9

S. Nezamabadi, J. Yvonnet, H. Zahrouni, and M. Potier-ferry, A multilevel computational strategy for handling microscopic and macroscopic instabilities, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.27-29
DOI : 10.1016/j.cma.2009.02.026

URL : https://hal.archives-ouvertes.fr/hal-00692235

G. Dhatt and G. Touzot, Une présentation de la méthode desélémentsdeséléments finis

Z. Cheng and Z. Shi, Vibration attenuation properties of periodic rubber concrete panels, Construction and Building Materials, vol.50, pp.257-265, 2014.
DOI : 10.1016/j.conbuildmat.2013.09.060

X. Bohan, Modélisation du comportement mécanique d'assemblages bois avec prise en compte de critères de rupture, 2009.