Modélisation vibro-acoustique de structures sandwi munies de matériaux viscoélastiques, Conservatoire National des Arts et Métiers (CNAM), 2013. ,
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
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
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
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
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
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
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
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
Finite element prediction of damping in beams with constrained viscoelastic layers, Shock and Vibration Bulletin, vol.51, pp.71-81, 1981. ,
Finite element analysis of viscoelastically damped damped structures, Shock and Vibration Bulletin, vol.55, issue.1, pp.97-109, 1981. ,
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
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
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
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
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
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
Modélisation numérique des vibrations linéaires et non linéaires des structures sSandwichàâmesSandwichàsSandwichàâme viscoélastique, 2010. ,
Finite Element Procedures in Engineering Analysis, Journal of Pressure Vessel Technology, vol.106, issue.4, 1982. ,
DOI : 10.1115/1.3264375
Modélisation numérique de l'amortissement passif et actif des tôles sandwich comportant des couches viscoélastiques ou piézoélectriques, 2002. ,
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
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
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
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
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
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. ,
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
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. ,
Vibration des longues structures flexiblesàflexiblesà forme répétitive, 1994. ,
Composite and reinforced elements of construction, 1992. ,
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
Equivalent orthotropic properties of corrugated sheets, Computers & Structures, vol.23, issue.2, pp.129-138, 1986. ,
DOI : 10.1016/0045-7949(86)90207-5
Homogenization of corrugated core sandwich panels, Composite Structures, vol.59, issue.3, pp.299-312, 2003. ,
DOI : 10.1016/S0263-8223(02)00246-5
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
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
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
Continuum Modeling for Repetitive Lattice Structures, Applied Mechanics Reviews, vol.41, issue.7, pp.285-296, 1988. ,
DOI : 10.1115/1.3151907
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
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
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
Vibrating and coupling continuous systems, asymptotic methods, 1989. ,
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
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
The determination of the elastic field of an ellipsoidal inclusion and related problems, Proceedings of the Royal Society A, vol.241, p.376396, 1957. ,
Eshelby inclusion of arbitrary shape in an anisotropic plane or halfplane, Acta Mech, vol.160, issue.3-4, p.219234, 2003. ,
Anisotropic coupled-field inclusion and inhomogeneity problems, Philosophical Magazine A, vol.59, issue.5, p.13411350, 1998. ,
DOI : 10.1080/01418618908209819
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
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
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
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
The elastic moduli of heterogeneous materials, J. Appl. Mech, vol.29, p.143150, 1962. ,
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
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
The elasticity of an isotropic aggregate of anisotropic cubic crystals, J. Appl. Mech, vol.21, pp.226-240, 1954. ,
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
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
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
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
Continuum theory of ductile rupture by void nucleation and growth, Journal of Engineering Materials and Technology, vol.99, p.215, 1977. ,
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
Analysis of Composite Materials???A Survey, Journal of Applied Mechanics, vol.50, issue.3, p.481505, 1983. ,
DOI : 10.1115/1.3167081
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
Nonlinear composites, Adv. Appl. Mech, vol.34, p.171302, 1998. ,
The overall response of nonlinear composite media, European Journal of Mechanics A, Solids, vol.19, p.165184, 2000. ,
Asymptotic analysis for periodic structures, 1978. ,
Non-homogeneous media and vibration theory, in : Lecture notes in physics, 1980. ,
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
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
A comparison of homogenization and standard mechanics analysis for periodic porous composites, Comput. Mech, vol.10, p.7395, 1992. ,
Computational damage mechanics for composite materials based on mathematical homogenisation, Int. J. Numer. Meth. Engrg, vol.45, p.16571679, 1999. ,
Micromechanics: Overall Properties of Heterogeneous Materials, Journal of Applied Mechanics, vol.63, issue.2, 1993. ,
DOI : 10.1115/1.2788912
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
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
Plastic reinforcement of ductile materials against plastic flow and creep, Acta Metall. Mater, issue.8, pp.391871-1882, 1991. ,
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
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
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
Local and global aspects in the mathematical theory of plasticity ,
Etude de linitiation de lendommagement dans la matrice dun matériau composite par une méthode dhomogénisation, Aerospace Science and Technology, vol.9, p.3751, 1987. ,
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
Nonlinear homogenization method for practical applications, Computational Methods in Micromechanics, AMD, pp.1-16, 1995. ,
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
Computationalmicro-macro transitions and overall moduli in the analysis of polycrystals at large strains ,
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
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
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. ,
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
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
An approach to micro-macro modeling of heterogeneous materials, Computational Mechanics, vol.27, issue.1, pp.37-48, 2001. ,
DOI : 10.1007/s004660000212
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
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
Viscoelastic Behavior of Heterogeneous Media, Journal of Applied Mechanics, vol.32, issue.3, p.630636, 1965. ,
DOI : 10.1115/1.3627270
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
Cours de calcul des structures anélastiques. viscoélasticité, 1983. ,
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. ,
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
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
Multicoating Inhomogeneities Problem for Effective Viscoelastic Properties of Particulate Composite Materials, ) :[Note(s), pp.21012-21013, 2009. ,
DOI : 10.1103/PhysRevE.72.031801
Micromechanical modeling of an arbitrary ellipsoidal multi-coated inclusion, Philosophical Magazine, vol.86, issue.10, p.13051326, 2006. ,
The mathematical theory of elasticity, 1927. ,
URL : https://hal.archives-ouvertes.fr/hal-01307751
The effect of transverse shear deformation on the bending of elastic plates, Journal of Applied Mechanics, vol.12, pp.69-76, 1945. ,
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. ,
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
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
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
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
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
Méthode asymptotique numérique : une technique de résolution deséquationsdeséquations non linéaires, 2007. ,
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. ,
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
Computational homogenization for the multi-scale Analysis of multi-phase materials, 2002. ,
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
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
Une présentation de la méthode desélémentsdeséléments finis ,
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
Modélisation du comportement mécanique d'assemblages bois avec prise en compte de critères de rupture, 2009. ,