R. F. Gibson, Modal vibration response measurements for characterization of composite materials and structures, Composites Science and Technology, vol.60, issue.15, pp.2769-2780, 2000.
DOI : 10.1016/S0266-3538(00)00092-0

D. Valtorta, J. Lefèvre, and E. Mazza, A new method for measuring damping in flexural vibration of thin fibers, Experimental Mechanics, vol.240, issue.4, pp.433-439, 2005.
DOI : 10.1007/BF02427991

C. Kyriazoglou, B. H. Le-page, and F. J. , Vibration damping for crack detection in composite laminates, Composites Part A: Applied Science and Manufacturing, vol.35, issue.7-8, pp.945-953, 2004.
DOI : 10.1016/j.compositesa.2004.01.003

M. Grédiac, Principe des travaux virtuels et identification Comptes Rendus de l, Académie des Sciences, II, issue.309, pp.1-5, 1989.

M. Grédiac and P. Paris, DIRECT IDENTIFICATION OF ELASTIC CONSTANTS OF ANISOTROPIC PLATES BY MODAL ANALYSIS: THEORETICAL AND NUMERICAL ASPECTS, Journal of Sound and Vibration, vol.195, issue.3, pp.401-415, 1996.
DOI : 10.1006/jsvi.1996.0434

M. Grédiac, N. Fournier, P. Paris, and Y. , DIRECT IDENTIFICATION OF ELASTIC CONSTANTS OF ANISOTROPIC PLATES BY MODAL ANALYSIS: EXPERIMENTAL RESULTS, Journal of Sound and Vibration, vol.210, issue.5, pp.643-659, 1998.
DOI : 10.1006/jsvi.1997.1304

P. Paris, Identification directe des rigidités de flexion de plaques composites à partie de la mesure de leurs modes propres en vibrations libres : Principe théorique, simulations et mise en oeuvre expérimentale. Mécanique des matériaux macromoléculaires et composites, 1997.

H. Sol, Identification of anisotropic plate rigidities using free vibration data, Thèse de doctorat, 1986.

L. R. Deobald and R. F. Gibson, Determination of elastic constants of orthotropic plates by a modal analysis/Rayleigh-Ritz technique, Journal of Sound and Vibration, vol.124, issue.2, pp.269-283, 1988.
DOI : 10.1016/S0022-460X(88)80187-1

K. E. Fällström and M. A. , A nondestructive method to determine material properties in anisotropic plates, Polymer Composites, vol.6, issue.2, pp.293-305, 1991.
DOI : 10.1002/pc.750120502

P. Pedersen and P. S. Frederiksen, Identification of orthotropic materials moduli by combinated experimental numerical approach. Measurements, pp.113-118, 1992.

W. P. De-wilde, Mechanical identification of composites, chapitre Identification of the rigidities of composite systems by mixed numerical/experimental methods, A. Vautrin and H. Sol, pp.1-15, 1991.

E. O. Ayorinde and R. F. Gibson, Elastic constants of orthotropic composite materials using plate resonance frequencies, classical lamination theory and an optimized three-mode rayleigh formulation, Composites Engineering, vol.3, issue.5, pp.395-407, 1993.
DOI : 10.1016/0961-9526(93)90077-W

C. M. Mota-soares, M. Moreira-de-freitas, A. L. Araujo, and P. Pedersen, Identification of material properties of composite plate specimens, Composite Structures, vol.25, issue.1-4, pp.277-285, 1993.
DOI : 10.1016/0263-8223(93)90174-O

P. Frederiksen, Identification of elastic constants including transverse shear moduli of thick orthotropic plates. Rapport technique, Danish Centre for Applied Mathematics and Mechanics, 1995.

A. L. Araujo, C. M. Mota-soares, and M. J. Freitas, Characterization of material parameters of composite plate specimens using optimization and experimental vibrational data, Composites Part B: Engineering, vol.27, issue.2, pp.185-191, 1996.
DOI : 10.1016/1359-8368(95)00050-X

P. S. Frederiksen, Numerical studies for identification of orthotropic elastic constants of thick plates, European Journal of Mechanics A/Solids, vol.16, pp.117-140, 1997.

P. S. Frederiksen-]-k, K. Fällström, and H. Olofsson, Experimental Procedure and Results for the Identification of Elastic Constants of Thick Orthotropic Plates, Journal of Composite Materials, vol.22, issue.4, pp.360-3825, 1996.
DOI : 10.1177/002199839703100403

J. Cunha and J. Piranda, Application of model updating techniques in dynamics for the identification of elastic constants of composite materials, Composites Part B: Engineering, vol.30, issue.1, pp.79-85, 1999.
DOI : 10.1016/S1359-8368(98)00050-X

J. Cugnoni, T. Gmür, and A. Schorderet, Identification by modal analysis of composite structures modelled with FSDT and HSDT laminated shell finite elements, Composites Part A: Applied Science and Manufacturing, vol.35, issue.7-8, pp.977-987, 2004.
DOI : 10.1016/j.compositesa.2004.01.014

K. Ip, P. Tse, and T. Lai, Material characterization for orthotropic shells using modal analysis and Rayleigh-Ritz models, Composites Part B: Engineering, vol.29, issue.4, pp.397-409, 1998.
DOI : 10.1016/S1359-8368(97)00037-1

M. E. Mcintyre and J. Woodhouse, On measuring the elastic and damping constants of orthotropic sheet materials, Acta Metallurgica, vol.36, issue.6, pp.1397-1416, 1988.
DOI : 10.1016/0001-6160(88)90209-X

J. P. Talbot and J. Woodhouse, The vibration damping of laminated plates, Composites Part A: Applied Science and Manufacturing, vol.28, issue.12, pp.1007-1012, 1997.
DOI : 10.1016/S1359-835X(97)00056-0

Y. Surrel, N. Fournier, M. Grédiac, and P. , Phase-stepped deflectometry applied to shape measurement of bent plates, Experimental Mechanics, vol.33, issue.27, pp.66-70, 1998.
DOI : 10.1007/BF02329303

R. F. Gibson, Damping characteristics of composite materials and structures, Journal of Materials Engineering and Performance, vol.52, issue.1, pp.11-20, 1992.
DOI : 10.1007/BF02650027

Z. Zhang and G. , Relation of damping and fatigue damage of unidirectional fibre composites, International Journal of Fatigue, vol.24, issue.7, pp.713-718, 2002.
DOI : 10.1016/S0142-1123(01)00206-7

D. Ouis, Effect of structural defects on the strength and damping properties of a solid material, European Journal of Mechanics - A/Solids, vol.22, issue.1, pp.47-54, 2003.
DOI : 10.1016/S0997-7538(02)01256-1

G. G. Wren and V. K. Kinra, On the effect of an end-mass on a beam damping, Experimental Mechanics, vol.9, pp.336-341, 1989.

G. G. Wren and V. K. Kinra, Modeling and Measurement of Axial and Flexural Damping in Metal-Matrix Composites, Mechanics and Mechanisms of Material Damping, pp.282-315, 1992.
DOI : 10.1520/STP17968S

G. G. Wren and V. K. Kinra, Flexural damping of a P55 graphite/magnesium composite, Journal of Materials Science, vol.16, issue.1, pp.3279-3284, 1995.
DOI : 10.1007/BF01209250

J. E. Bishop and V. K. Kinra, Some Improvements in the Flexural Damping Measurement Technique, Mechanics and Mechanisms of Material Damping, pp.457-470, 1992.
DOI : 10.1520/STP17978S

I. C. Finegan and R. F. Gibson, Recent research on enhancement of damping in polymer composites, Composite Structures, vol.44, issue.2-3, pp.89-98, 1999.
DOI : 10.1016/S0263-8223(98)00073-7

N. Srikanth and M. Gupta, Damping characterization of magnesium based composites using an innovative circle-fit approach, Composites Science and Technology, vol.63, issue.3-4, pp.559-568, 2003.
DOI : 10.1016/S0266-3538(02)00231-2

W. Gu, H. F. Wu, S. L. Kampe, and G. Lu, Volume fraction effects on interfacial adhesion strength of glass-fiber-reinforced polymer composites, Materials Science and Engineering: A, vol.277, issue.1-2, pp.237-243, 2000.
DOI : 10.1016/S0921-5093(99)00528-6

. Ch, Lalanne : Vibrations et chocs mécaniques, 1999.

J. Berthelot and Y. Sefrani, Damping analysis of unidirectional glass and Kevlar fibre composites, Composites Science and Technology, vol.64, issue.9, pp.1261-1278, 2004.
DOI : 10.1016/j.compscitech.2003.10.003

E. C. Botelho, A. N. Campos, E. De-barros, L. C. Pardini, and M. C. , Damping behavior of continuous fiber/metal composite materials by the free vibration method, Composites Part B: Engineering, vol.37, issue.2-3, pp.255-263, 2006.
DOI : 10.1016/j.compositesb.2005.04.003

H. Moussaoui and S. Amri, Identification de l'amortissement des poutres composites, 2003.

N. Srikanth and M. Gupta, Damping characterization of Mg???SiC composites using an integrated suspended beam method and new circle-fit approach, Materials Research Bulletin, vol.37, issue.6, pp.1149-1162, 2002.
DOI : 10.1016/S0025-5408(02)00735-3

D. J. Ewins, Modal Testing : Theory, Practice and Application, 2000.

J. Wu, C. Li, D. Wang, and M. Gui, Damping and sound absorption properties of particle reinforced al matrix composite foams, Composites Science and Technology, vol.63, pp.569-574, 2003.

H. Rajoria and N. Jalili, Passive vibration damping enhancement using carbon nanotube-epoxy reinforced composites, Composites Science and Technology, vol.65, issue.14, pp.2079-2093, 2005.
DOI : 10.1016/j.compscitech.2005.05.015

R. F. Gibson and R. Plunkett, Dynamic Mechanical Behavior of Fiber-Reinforced Composites: Measurement and Analysis, Journal of Composite Materials, vol.10, issue.4, pp.325-332, 1976.
DOI : 10.1177/002199837601000406

L. Zhang and M. J. Crocker, Effects of thickness and delamination on the damping in honeycomb-foam sandwich beams, Journal of Sound and Vibration, vol.294, pp.473-485, 2006.

H. Rajoria and N. Jalili, Passive vibration damping enhancement using carbon nanotube-epoxy reinforced composites, Composites Science and Technology, vol.65, issue.14, pp.2079-2093, 2005.
DOI : 10.1016/j.compscitech.2005.05.015

Y. Sefrani and J. Berthelot, Temperature effect on the damping properties of unidirectional glass fibre composites, Composites Part B: Engineering, vol.37, issue.4-5, pp.346-355, 2006.
DOI : 10.1016/j.compositesb.2005.10.001

E. C. Botelho, L. C. Pardini, and M. C. , Hygrothermal effects on damping behavior of metal/glass fiber/epoxy hybrid composites, Materials Science and Engineering: A, vol.399, issue.1-2, pp.190-198, 2005.
DOI : 10.1016/j.msea.2005.02.093

R. F. Gibson and R. Plunkett, An Improved Forced-vibration Technique for Measurement of Material Damping, Experimental Techniques, vol.34, issue.4, pp.297-302, 1977.
DOI : 10.1111/j.1747-1567.1982.tb01646.x

A. Foudjet, C. Surry, and J. F. , Julien : Indirect identification methods for the elastic constants of orthotropic materials and their application to wood. Wood Science and Technology, 2004.

L. , L. Magorou, F. Bos, and F. Rouger, Identification of constitutive laws for wood-based panels by means of an inverse method, Composite Science and Technology, vol.62, issue.4, pp.591-596, 2001.

M. Bonnet, H. D. Bui, and A. Constantinescu, Principes variationnels et exploitation de mesures de champs en ??lasticit??Variational principles and exploitation of field measurements in elasticity, M??canique & Industries, vol.4, issue.6, pp.687-697, 2003.
DOI : 10.1016/j.mecind.2003.09.011

J. D. Visscher, H. Sol, W. P. De-wilde, and J. , Vantomme : Identification of the damping properties of orthotropic composite materials using a mixed numerical experimental method, Applied Composite Materials, vol.4, issue.1, pp.13-33, 1991.

A. Moreau, E. Pagnacco, D. Lemosse, and D. Borza, An evaluation of a mixed experimental/numerical method using frf for the identification of viscoelastic materials, the 2006 International Conference on Noise and Vibration Engineering, pp.2099-2112, 2006.

E. Pagnacco, A. Moreau, and D. Lemosse, Inverse strategies for the identification of elastic and viscoelastic material parameters using full-field measurements, Materials Science and Engineering: A, vol.452, issue.453, 2006.
DOI : 10.1016/j.msea.2006.10.122

P. Germain, Mécanique, Tone 1. ellipses, 1986.

P. Germain and P. Muller, Introduction à la mécanique des milieux continus

M. Grédiac and F. Pierron, A T-shaped specimen for the direct characterization of orthotropic materials, International Journal for Numerical Methods in Engineering, vol.2, issue.2, pp.293-309, 1998.
DOI : 10.1002/(SICI)1097-0207(19980130)41:2<293::AID-NME284>3.0.CO;2-Y

M. Grédiac, F. Pierron, and Y. , Novel procedure for complete in-plane composite characterization using a single T-shaped specimen, Experimental Mechanics, vol.36, issue.1, pp.142-149, 1999.
DOI : 10.1007/BF02331118

M. Grédiac, On the direct determination of invariant parameters governing anisotropic plate bending problems, International Journal of Solids and Structures, vol.33, issue.27, pp.3969-3982, 1996.
DOI : 10.1016/0020-7683(95)00220-0

J. Batoz, Dhatt : Modélisation des structures par éléments finis : poutres et plaques, 1990.
DOI : 10.1002/nme.1620372312

M. Géradin, D. Rixen, and R. L. Taylor, Théorie des vibrations -Application à la dynamique des structures. Masson, Paris, deuxième édition The Finite Element Method, 1996.

S. Avril, F. Pierron, M. Grédiac, E. Toussaint, and Y. , Surrel : Identification de rigidités en flexion de plaques : déflectométrie et méthode des champs virtuels

A. Giraudeau and F. Pierron, Identification of stiffness and damping properties of thin isotropic vibrating plates using the virtual fields method: theory and simulations, Journal of Sound and Vibration, vol.284, issue.3-5, pp.757-781, 2005.
DOI : 10.1016/j.jsv.2004.07.009

J. Gittus, Creep, viscoelasticity anc creep fracture in solids. London, applied science publishers ltd édition, 1975.
DOI : 10.1115/1.3443365

M. Grédiac, F. Auslender, and F. Pierron, Applying the virtual fields method to determine the through-thickness moduli of thick composites with a nonlinear shear response, Composites Part A: Applied Science and Manufacturing, vol.32, issue.12, pp.1713-1725, 2001.
DOI : 10.1016/S1359-835X(01)00029-X

F. Pierron and M. Grédiac, Identification of the through-thickness moduli of thick composites from whole-field measurements using the Iosipescu fixture: theory and simulations, Composites Part A: Applied Science and Manufacturing, vol.31, issue.4, pp.309-318, 1999.
DOI : 10.1016/S1359-835X(99)00080-9

M. Grédiac, E. Toussaint, and F. Pierron, Special virtual fields for the direct determination of material parameters with the virtual fields method. 1??????Principle and definition, International Journal of Solids and Structures, vol.39, issue.10, pp.2691-2705, 2002.
DOI : 10.1016/S0020-7683(02)00127-0

M. Grédiac, E. Toussaint, and F. Pierron, Special virtual fields for the direct determination of material parameters with the virtual fields method. 2??????Application to in-plane properties, International Journal of Solids and Structures, vol.39, issue.10, pp.2707-2730, 2002.
DOI : 10.1016/S0020-7683(02)00128-2

M. Grédiac, E. Toussaint, and F. Pierron, Special virtual fields for the direct determination of material parameters with the virtual fields method. 3. Application to the bending rigidities of anisotropic plates, International Journal of Solids and Structures, vol.40, issue.10, pp.2691-2705, 2002.
DOI : 10.1016/S0020-7683(03)00030-1

S. Avril, M. Grédiac, and F. Pierron, Sensitivity of the virtual fields method to noisy data, Computational Mechanics, vol.34, issue.6, pp.439-452, 2004.
DOI : 10.1007/s00466-004-0589-6

K. Syed-muhammad, E. Toussaint, M. Grédiac, and S. Avril, Optimisation d'un essai sur plaque avec la méthode des champs virtuels, 2005.

E. Toussaint, M. Grédiac, and F. Pierron, The virtual fields method with piecewise virtual fields, International Journal of Mechanical Sciences, vol.48, issue.3, pp.256-264, 2006.
DOI : 10.1016/j.ijmecsci.2005.10.002

J. Batoz, Dhatt : Modélisation des structures par éléments finis : solides élastiques, 1992.
DOI : 10.1002/nme.1620372312

O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, 2000.

S. Corn, Simplification de modèles éléments finis de structures à comportement dynamique de poutre, Thèse de doctorat, 1998.

J. Guyader, Vibrations des milieux continus, 2002.

M. Ciccotti, R. Almagro, and F. Mulargia, Static and Dynamic Moduli of the Seismogenic Layer in Italy, Rock Mechanics and Rock Engineering, vol.37, issue.3, pp.229-238, 2004.
DOI : 10.1007/s00603-003-0019-7

V. J. Koppelmann, Über die bestimmung des dynamischen elastizitätsmoduls und des dynamischen schubmoduls im frequenzbereich von 10
DOI : 10.1007/bf01982279

A. Giraudeau, F. Pierron, and J. Chambard, Experimental study of air effect on vibrating lightweight structures, SEM Annual Congress on Experimental Mechanics, 2002.

Y. Surrel, Les techniques optiques de mesure de champ : essai de classification Instrumentation mesure et métrologie Mesure de champs de déplacements 2d par intercorrélation d'images : Correli 2d, pp.4-7, 1999.

F. Hild, Correli lmt : A software for displacement field measurements by digital image correlation, 2002.

Y. Surrel, Fringe analysis, chapitre III, Topics in Applied Physics, pp.55-102, 2000.

Y. Surrel, La technique de la grille et ses applications Instrumentation mesure et métrologie, pp.193-216, 2005.

A. Giraudeau, B. Guo, and F. Pierron, Stiffness and Damping Identification from Full Field Measurements on Vibrating Plates, Experimental Mechanics, vol.24, issue.3, pp.777-787, 2006.
DOI : 10.1007/s11340-006-9477-7

H. Chalal, S. Avril, F. Pierron, and F. Meraghni, Experimental identification of a damage model for composites using the grid technique coupled to the virtual fields method, Composite part A, vol.34, issue.6, pp.439-452, 2005.

Y. Pannier, S. Avril, and R. Rotinat, Identification of Elasto-Plastic Constitutive Parameters from Statically Undetermined Tests Using the Virtual Fields Method, Experimental Mechanics, vol.36, issue.2, pp.735-755, 2006.
DOI : 10.1007/s11340-006-9822-x

URL : https://hal.archives-ouvertes.fr/emse-00506126

Y. Surrel, Customised phase shift algorithms, pp.71-83, 2000.

Y. Surrel, Deflectometry : a simple and efficient noninteroferometric method for slope measurement, SEM Annual Congress on Experimental Mechanics, 2004.

R. Moulart, S. Avril, and F. Pierron, Identification of the through-thickness rigidities of a thick laminated composite tube, Composites Part A: Applied Science and Manufacturing, vol.37, issue.2, pp.326-336, 2006.
DOI : 10.1016/j.compositesa.2005.05.050

D. C. Ghiglia and L. A. Romero, Minimum Lp-norm two-dimensional phase unwrapping, Journal of the Optical Society of America A, vol.13, issue.10, pp.781-789, 1996.
DOI : 10.1364/JOSAA.13.001999

H. T. Goldrein, S. J. Palmer, and J. M. Huntley, Automated fine grid technique for measurement of large-strain deformation maps, Optics and Lasers in Engineering, vol.23, issue.5, pp.305-318, 1995.
DOI : 10.1016/0143-8166(95)00036-N

P. D. Ruiz, G. H. Kaufmann, and J. M. Huntley, Temporal phase evaluation using a novel adaptive phase-shifting algorithm, 19th Congress of the International Commission for Optics: Optics for the Quality of Life, pp.912-913
DOI : 10.1117/12.530341

R. Cusack, J. M. Huntley, and H. T. , Improved noise-immune phase-unwrapping algorithm, Applied Optics, vol.34, issue.5, pp.781-789, 1995.
DOI : 10.1364/AO.34.000781

N. W. Tschoegl and W. G. , Knauss et Igor Emri : Poisson's ratio in linear viscoelasticity -a critical review, Mechanics of Time-Dependent Materials, vol.6, issue.1, pp.3-51, 2002.
DOI : 10.1023/A:1014411503170

J. Kim, F. Pierron, M. Grédiac, and M. R. , Wisnom : A prodedure for producing reflective coatings on plates to be used for full-field slope measurement by a deflectometry technique, Strain, 2007.