B. Audoin, évaluation ultrasonore de l'endommagement anisotrope d'un composite à matrice fragile, Thèse de l'Université de Bordeaux 1, 1991.

B. Audoin and S. Et-baste, Ultrasonic Evaluation of Stiffness Tensor Changes and Associated Anisotropic Damage in a Ceramic Matrix Composite, Journal of Applied Mechanics, vol.61, issue.2, p.61, 1994.
DOI : 10.1115/1.2901446

B. A. Auld, Acoustic Fields and Waves in Solids, 1973.

G. Backus, A geometrical picture of anisotropic elastic tensors, Reviews of Geophysics, vol.35, issue.3, 1970.
DOI : 10.1029/RG008i003p00633

R. Baerheim, HARMONIC DECOMPOSITION OF THE ANISOTROPIC ELASTICITY TENSOR, The Quarterly Journal of Mechanics and Applied Mathematics, vol.46, issue.3, 1993.
DOI : 10.1093/qjmam/46.3.391

S. Baste and B. Et-hosten, Evaluation de la matrice d'??lasticit?? des composites orthotropes par propagation ultrasonore en dehors des plans principaux de sym??trie, Revue de Physique Appliqu??e, vol.25, issue.2, p.25, 1990.
DOI : 10.1051/rphysap:01990002502016100

J. P. Boehler, S. Demmerle, and S. Koss, A new direct biaxial testing machine for anisotropic materials, Experimental Mechanics, vol.236, issue.1, 1994.
DOI : 10.1007/BF02328435

L. Brillouin, Les tenseurs en mécanique et en élasticité, 1949.

_. Page, _. ________________________________________________________________________________________-bibliographie-brismalein, and C. , Identification des symétries matérielles par méthode ultrasonore, 1995.

K. H. Brose and C. J. Et-eckardt, Calculation of elastic constants of TCNQ crystals using atom-atom potentials, Chemical Physics Letters, vol.125, issue.3, 1986.
DOI : 10.1016/0009-2614(86)87056-7

B. Castagnède, Problèmes inverses en mécanique expérimentale des solides anisotropes, Habilitation à diriger des recherches, 1991.

B. Castagnède, J. T. Jenkins, W. Sachse, and S. Et-baste, Optimal determination of the elastic constants of composite materials from ultrasonic wavespeed measurements, J. Appl. Phys, vol.67, p.6, 1990.

B. Castagnède, K. Y. Kim, W. Sachse, and M. O. Et-thompson, Determination of the elastic constants of anisotropic materials using laser???generated ultrasonic signals, Journal of Applied Physics, vol.70, issue.1, 1991.
DOI : 10.1063/1.350303

B. Castagnède, J. Roux, and B. Et-hosten, Correlation method for normal mode tracking in anisotropic media using an ultrasonic immersion system, Ultrasonics, vol.27, issue.5, p.27, 1989.
DOI : 10.1016/0041-624X(89)90069-3

Y. C. Chu, D. Degtyar, and S. I. Et-rokhlin, On determination of orthotropic material moduli from ultrasonic velocity data in nonsymmetry planes, The Journal of the Acoustical Society of America, vol.95, issue.6, 1994.
DOI : 10.1121/1.409983

S. C. Cowin and . Mehrabadi, ON THE IDENTIFICATION OF MATERIAL SYMMETRY FOR ANISOTROPIC ELASTIC MATERIALS, The Quarterly Journal of Mechanics and Applied Mathematics, vol.40, issue.4, 1987.
DOI : 10.1093/qjmam/40.4.451

S. C. Cowin and A. M. Et-sadegh, Addenda and Corringenda On The structure of the linear anisotropic elastic symmetries, J. Mech. Phys. Solids, vol.41, issue.12, 1974.

J. J. Ditri, On the determination of the elastic moduli of anisotropic media from limited acoustical data, The Journal of the Acoustical Society of America, vol.95, issue.4, 1994.
DOI : 10.1121/1.408695

C. Dusautoir, Contribution à l'identification automatique de lois de comportement à partir d'essais multiaxiaux, Mémoire CNAM, 1993.

R. C. Dye and C. J. Et-eckardt, A complete set of elastic constants of crystalline anthracene by Brillouin scattering, The Journal of Chemical Physics, vol.90, issue.4, 1989.
DOI : 10.1063/1.456002

D. Elata and M. B. Et-rubin, A new representation for the strain energy of anisotropic elastic materials with application to damage evolution in brittle materials, Mechanics of Materials, vol.19, issue.2-3, 1995.
DOI : 10.1016/0167-6636(94)00030-K

A. G. Every, General, Closed-Form Expressions for Acoustic Waves in Cubic Crystals, Physical Review Letters, vol.42, issue.16, p.1979
DOI : 10.1103/PhysRevLett.42.1065

A. G. Every, Determination of the elastic constants of anisotropic solids, NDT & E International, vol.27, issue.1, 1994.
DOI : 10.1016/0963-8695(94)90003-5

A. G. Every and W. Et-sachse, Determination of the elastic constants of anisotropic solids from acoustic-wave group-velocity measurements, Physical Review B, vol.42, issue.13, p.13, 1990.
DOI : 10.1103/PhysRevB.42.8196

P. Faurre, Analyse numérique. Notes d'optimisation. Collection Ellipses, édition Marketing (école Polytechnique), 1988.

D. François, A. Pineau, and A. Et-zaoui, Comportement mécanique des matériaux, 1991.

M. François, B. Berthaud, and G. Et-geymonat, Material anisotropy : acoustical experimentation and numerical optimization, th International Conference on Mechanical Behaviour of Materials I.C.M. 7, 1995.

_. Page, _. ________________________________________________________________________________________-bibliographie-françois, M. Berthaud, B. Et-geymonat, and G. , Material anisotropy : acoustical experimentation and numerical optimization, Congrès européen Euromech, issue.B, p.1994

A. Gérard, Etude des possibilités d'évaluation de l'endommagement par des mesures ultrasonores, 2 ème sujet de thèse

D. Guitard and J. M. Et-genevaux, Vers un matériau technologique : le bois, Art. Mech, vol.40, pp.5-6, 1988.

M. E. Gurtin, A short proof of the representation theorem for isotropic, linear stress-strain relations, Journal of Elasticity, vol.4, issue.3, 1974.
DOI : 10.1007/BF00049267

M. E. Gurtin, The Linear Theory of Elasticity, Handbuch der Physik, 1972.

S. Harder, Inversion of phase velocities for the anisotropic elastic tensor, Journal of Geophysical Research, vol.65, issue.B12, p.12, 1985.
DOI : 10.1029/JB090iB12p10275

M. Hayes, A simple statical approach to the measurement of the elastic constants in anisotropic media, Journal of Materials Science, vol.34, issue.1, 1969.
DOI : 10.1007/BF00555041

J. A. Hood and R. B. Et-mignogna, Determination of elastic moduli in anisotropic media from ultrasonic contact measurements, Ultrasonics, vol.33, issue.1, 1995.
DOI : 10.1016/0041-624X(95)92036-4

_. Page, _. ________________________________________________________________________________________-bibliographie-hosten, B. Et-castagnède, and B. , Mesure des constantes élastiques du bois à l'aide d'un interféromètre ultrasonore, C.R. Acad. Sci, issue.B, 1983.

B. Hosten and B. Et-castagnède, Optimisation du calcul des constantes élastiques à partir des mesures de vitesse d'une onde ultrasonore, C.R. Acad. Sci, issue.A, p.1983

J. P. Jarìc, On the conditions for the existance of a plane of symmetry for anisotropic elastic material, Mech. Res. Comm, vol.21, issue.2, 1994.

L. M. Kachanov, Time of rupture process under creep condition

W. Kelvin-(-thomson-), Elements of Mathematical Theory of Elasticity, Phil. Trans. R. Soc, vol.146, p.1856

M. Keyvani, Contribution à l'étude de la modélisation et de l'endommagement des composites de type S.M.C. par méthodes ultrasonores, Thèse de l'école Centrale, 1991.

P. Khalmosh, Finite Dimensionnal Vector Spaces, 1963.

J. Kittel, Physique de l'état solide, 1983.

K. Klima, The computation of the elastic constants of an anisotropic medium from the velocities of body waves, Studia Geophysica et Geodaetica, vol.48, issue.2, p.17, 1973.
DOI : 10.1007/BF01613681

_. Page, _. ________________________________________________________________________________________-bibliographie-lemaitre, J. Et-dufailly, and J. , Modélisation et identification de l'endommagement plastique des métaux, 3 ème congrès français de mécanique, 1977.

A. Mal-'tsev, Fundamental of Linear Algebra, 1956.

J. J. Marigo, Formulation d'une loi de l'endommagement d'un matériau élastique, C.R. Acad. Sci. Paris, Série II, vol.292, 1981.

M. F. Markam, Measurement of the elastic constants of fibre composites by ultrasonics, Composites, issue.1, 1970.

J. Mazars, Application de la mécanique de l'endommagement au comportement non linéaire et à la rupture du béton de structure, 1984.

M. Mehrabadi and S. C. Et-cowin, Eigentensors of linear anisotropic elastic materials, Q.Jl Mech. Appl. Mat, vol.43, 1990.

J. R. Neighbours, Convergence of the calculations of elastic constants from wave velocities in cubic crystals, Journal of Applied Physics, vol.51, issue.11, 1980.
DOI : 10.1063/1.327490

J. R. Neighbours and G. E. Et-schacher, Determination of Elastic Constants from Sound???Velocity Measurements in Crystals of General Symmetry, Journal of Applied Physics, vol.38, issue.13
DOI : 10.1063/1.1709328

J. R. Neighbours and S. Smith, An approximation method for the determination of the elastic constants, J. Appl. Phys, vol.21, p.941, 1950.

A. N. Norris, On the acoustic determination of the elastic moduli of anisotropic solids and acoustic conditions for the existance of symmetry planes

E. T. Onat, Group theory and representation of microstructure and mechanical behaviour of materials. The minerals, Metals & Materials society, 1991.

_. Page, _. ________________________________________________________________________________________-bibliographie-pochert, and A. , Réalisation d'un logiciel de pilotage et d'acquisition de la carte ultrasonore " Saphir, Mise au point de la campagne d'essais associée à la détermination des constantes élastiques d'un matériau anisotrope, Rapport de stage ingénieur, L.M.T. -Üniversidadt Brunswick, 1994.

J. Rychlewski, On Hooke's law, Journal of Applied Mathematics and Mechanics, vol.48, issue.3, 1984.
DOI : 10.1016/0021-8928(84)90137-0

L. I. Sedov, A course in continuum mechanics, Wolters- Noordhoff, 1971.

Y. Surrel, A new description of the tensor of elasticity based upon irreducible representation, Eur, J. Mech., A/Solids, vol.12, issue.2, 1993.

Y. Surrel, Communication privée, 1996.

J. J. Thomas, Contrôle non destructif des matériaux et des structures par l'analyse dynamique non linéaire, Thèse de l'école polytechnique, 1995.

T. Vinh, Mesures ultrasonores de constantes élastiques de matériaux composites, Sciences et techniques de l'armement, 1981.

A. E. Voigt, Handbuch der cristalphysic, 1927.

_. Page, _. ________________________________________________________________________________________-bibliographie-walrath, D. E. Adams, and D. F. , The Iosipescu shear test as applied to composite materials, Exp. Mech, 1983.

U. Opérateur-intrinsèque-détermine-le-tenseur-possédant-la-symétrie-choisie, le plus proche du tenseur expérimentalement obtenu. L'écart entre les deux tenseurs et la classification des niveaux de symétrie permettent de faire le choix de la symétrie

. Enfin, étude de l'anisotropie induite par l'endommagement est abordée à l