P. E. Grattan-bellew, Microstructural investigation of deteriorated Portland cement concretes, Construction and Building Materials, vol.10, issue.1, pp.3-16, 1996.
DOI : 10.1016/0950-0618(95)00066-6

S. K. Handoo, S. Agarwal, and S. K. Agarwal, Physicochemical, mineralogical, and morphological characteristics of concrete exposed to elevated temperatures, Cement and Concrete Research, vol.32, issue.7, pp.1009-1018, 2002.
DOI : 10.1016/S0008-8846(01)00736-0

J. F. Chaix, V. Garnier, and G. Corneloup, Ultrasonic wave propagation in heterogeneous solid media: Theoretical analysis and experimental validation, Ultrasonics, vol.44, issue.2, pp.200-210, 2006.
DOI : 10.1016/j.ultras.2005.11.002
URL : https://hal.archives-ouvertes.fr/hal-01303712

T. P. Philippidis and D. G. Aggelis, Experimental study of wave dispersion and attenuation in concrete, Ultrasonics, vol.43, issue.7, pp.584-595, 2005.
DOI : 10.1016/j.ultras.2004.12.001

M. Molero, I. Segura, M. G. Hernández, M. A. Izquierdo, and J. J. Anaya, Characterization of mortar samples using ultrasonic scattering attenuation, Physics Procedia, vol.3, issue.1, pp.839-845, 2010.
DOI : 10.1016/j.phpro.2010.01.108

J. Byeong-chan-kim and . Kim, Characterization of ultrasonic properties of concrete, Mech. Res. Com, vol.36, pp.207-214, 2009.

G. T. Kuster and M. N. Toksoz, VELOCITY AND ATTENUATION OF SEISMIC WAVES IN TWO???PHASE MEDIA: PART I. THEORETICAL FORMULATIONS, GEOPHYSICS, vol.39, issue.5, pp.587-606, 1974.
DOI : 10.1190/1.1440450

J. G. Berryman, Long???wavelength propagation in composite elastic media I. Spherical inclusions, The Journal of the Acoustical Society of America, vol.68, issue.6, pp.1809-1819, 1980.
DOI : 10.1121/1.385171

L. Foldy, The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers, Physical Review, vol.67, issue.3-4, pp.107-119, 1945.
DOI : 10.1103/PhysRev.67.107

P. C. Waterman and R. , Multiple Scattering of Waves, Journal of Mathematical Physics, vol.2, issue.4, pp.512-537, 1961.
DOI : 10.1063/1.1703737

V. Twersky, On propagation in random media of discrete scatterers, Symposium on Stochastic processes in Mathematics Physics and Engineering, pp.84-116, 1963.
DOI : 10.1090/psapm/016/0163605

C. M. Linton and P. A. Martin, Multiple Scattering by Multiple Spheres: A New Proof of the Lloyd--Berry Formula for the Effective Wavenumber, SIAM Journal on Applied Mathematics, vol.66, issue.5, pp.1649-1668, 2006.
DOI : 10.1137/050636401

M. Lax, Multiple Scattering of Waves, Reviews of Modern Physics, vol.23, issue.4, pp.287-310, 1951.
DOI : 10.1103/RevModPhys.23.287

L. Tsang, J. A. Kong, and T. Habashy, Multiple scattering of acoustic waves by random distribution of discrete spherical scatterers with the quasicrystalline and Percus???Yevick approximation, The Journal of the Acoustical Society of America, vol.71, issue.3, pp.552-558, 1982.
DOI : 10.1121/1.387524

V. K. Varadan, Y. Ma, and V. V. Varadan, A multiple scattering theory for elastic wave propagation in discrete random media, The Journal of the Acoustical Society of America, vol.77, issue.2, pp.375-385, 1985.
DOI : 10.1121/1.391910

F. J. Sabina and J. R. Willis, A simple self-consistent analysis of wave propagation in particulate composites, Wave Motion, vol.10, issue.2, pp.127-142, 1988.
DOI : 10.1016/0165-2125(88)90038-8

J. Y. Kim, J. G. Ih, and B. H. Lee, Dispersion of elastic waves in random particulate composites, The Journal of the Acoustical Society of America, vol.97, issue.3, 1995.
DOI : 10.1121/1.412080

R. B. Yang, A Dynamic Generalized Self-Consistent Model for Wave Propagation in Particulate Composites, Journal of Applied Mechanics, vol.70, issue.4, pp.575-582, 2003.
DOI : 10.1115/1.1576806

V. K. Kinra and C. Rousseau, Acoustical and Optical Branches of Wave Propagation, J. Wave Mat. Interact, vol.2, pp.141-152, 1987.

P. C. Waterman, Matrix theory of elastic wave scattering, The Journal of the Acoustical Society of America, vol.60, issue.3, pp.567-580, 1976.
DOI : 10.1121/1.381130

D. Brill and G. Gaunaurd, Resonance theory of elastic waves ultrasonically scattered from an elastic sphere, The Journal of the Acoustical Society of America, vol.81, issue.1, pp.1-21, 1987.
DOI : 10.1121/1.394983

J. P. Sessarego, J. Sageloli, R. Guillermin, and H. , Scattering by an elastic sphere embedded in an elastic isotropic medium, The Journal of the Acoustical Society of America, vol.104, issue.5, pp.2836-2844, 1998.
DOI : 10.1121/1.423867
URL : https://hal.archives-ouvertes.fr/hal-00704357

W. Huang and S. I. Rokhlin, Frequency Dependencies on Ultrasonic Wave Velocity and Attenuation in Fiber Composites: Theory and Experiments, Rew. Prog. Quant. Non Destr. Eval, vol.14, pp.1233-1238, 1995.

C. H. Gür and A. Ozturk, Determination of the influence of TiO2 on the elastic properties of a mica based glass ceramic by ultrasonic velocity measurements, Journal of Non-Crystalline Solids, vol.351, issue.46-48, pp.3655-3662, 2005.
DOI : 10.1016/j.jnoncrysol.2005.09.022

R. B. Thompson and T. A. Gray, A model relating ultrasonic scattering measurements through liquid???solid interfaces to unbounded medium scattering amplitudes, The Journal of the Acoustical Society of America, vol.74, issue.4
DOI : 10.1121/1.390045

A. N. Kalashnikov and R. E. Challis, Errors and uncertainties in the measurement of ultrasonic wave attenuation and phase velocity, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.52, issue.10, pp.1754-1768, 2005.
DOI : 10.1109/TUFFC.2005.1561630

F. Vander-meulen, G. Feuillard, O. Bou-matar, F. Levassort, and M. Lethiecq, Theoretical and experimental study of the influence of the particle size distribution on acoustic wave properties of strongly inhomogeneous media, The Journal of the Acoustical Society of America, vol.110, issue.5, pp.2301-2307, 2001.
DOI : 10.1121/1.1404435

C. Layman, N. S. Murthy, R. B. Yang, and J. Wu, The interaction of ultrasound with particulate composites, The Journal of the Acoustical Society of America, vol.119, issue.3, pp.1449-1456, 2006.
DOI : 10.1121/1.2161450

J. M. Conoir and A. N. Norris, Effective wavenumbers and reflection coefficients for an elastic medium containing random configurations of cylindrical scatterers, Wave Motion, vol.47, issue.3, pp.183-197, 2010.
DOI : 10.1016/j.wavemoti.2009.09.004