J. Aboudi, Micromechanical Analysis of Composites by the Method of Cells - Update, Applied Mechanics Reviews, vol.49, issue.10S
DOI : 10.1115/1.3101981

D. G. Aggelis and T. Shiotani, Surface wave dispersion in cement-based media: Inclusion size effect, NDT & E International, vol.41, issue.5, pp.319-325, 2008.
DOI : 10.1016/j.ndteint.2008.01.010

D. G. Aggelis, Numerical simulation of surface wave propagation in material with inhomogeneity: Inclusion size effect, NDT & E International, vol.42, issue.6, pp.558-563, 2009.
DOI : 10.1016/j.ndteint.2009.04.005

A. A. Almusallam, Effect of degree of corrosion on the properties of reinforcing steel bars, Construction and Building Materials, vol.15, issue.8, pp.361-368, 2001.
DOI : 10.1016/S0950-0618(01)00009-5

P. Anugonda, J. S. Wiehn, and J. A. Turner, Diffusion of ultrasound in concrete, Ultrasonics, vol.39, issue.6, pp.429-435, 2001.
DOI : 10.1016/S0041-624X(01)00077-4

H. N. Atahan, O. N. Oktar, and M. A. Ta¸sdemirta¸sdemir, Effects of water???cement ratio and curing time on the critical pore width of hardened cement paste, Construction and Building Materials, vol.23, issue.3, pp.1196-1200, 2009.
DOI : 10.1016/j.conbuildmat.2008.08.011

B. A. Auld, Acoustic Fields and Waves in Solids, Jhon Wiley & sons, vol.1, issue.101, 1973.

S. S. Barboura, Modélisation micromécanique du comportement de milieux poreux non linéaires : Applications aux argiles compactées, p.133, 2007.

P. A. Basheer, S. E. Chidiac, and A. E. Long, Predictive models for deterioration of concrete structures, Construction and Building Materials, vol.10, issue.1, pp.27-37, 1996.
DOI : 10.1016/0950-0618(95)00092-5

D. Benavente, M. A. García-del-cura, R. Fort, and S. Ordóñez, Durability estimation of porous building stones from pore structure and strength, Engineering Geology, vol.74, issue.1-2, pp.113-127, 2004.
DOI : 10.1016/j.enggeo.2004.03.005

D. P. Bentz, Three-Dimensional Computer Simulation of Portland Cement Hydration and Microstructure Development, Journal of the American Ceramic Society, vol.80, issue.1, pp.3-21, 1997.
DOI : 10.1111/j.1151-2916.1997.tb02785.x

Y. Benveniste, A new approach to the application of Mori-Tanaka's theory in composite materials, Mechanics of Materials, vol.6, issue.2, pp.147-157, 1987.
DOI : 10.1016/0167-6636(87)90005-6

P. A. Berge, B. P. Bonner, and J. G. Berryman, Ultrasonic velocity???porosity relationships for sandstone analogs made from fused glass beads, GEOPHYSICS, vol.60, issue.1, pp.108-119, 1995.
DOI : 10.1190/1.1443738

R. Berliner, M. Popovici, K. W. Herwig, M. Berliner, H. M. Jennings et al., Quasielastic Neutron Scattering Study of the Effect of Water-to-Cement Ratio on the Hydration Kinetics of Tricalcium Silicate, Cement and Concrete Research, vol.28, issue.2, pp.231-243, 1998.
DOI : 10.1016/S0008-8846(97)00260-3

O. Bernard, F. Ulm, and E. Lemarchand, A multiscale micromechanics-hydration model for the early-age elastic properties of cement-based materials, Cement and Concrete Research, vol.33, issue.9, pp.1293-1309, 2003.
DOI : 10.1016/S0008-8846(03)00039-5
URL : https://hal.archives-ouvertes.fr/hal-00139284

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

J. G. Berryman, Long???wavelength propagation in composite elastic media II. Ellipsoidal inclusions, The Journal of the Acoustical Society of America, vol.68, issue.6, pp.1820-1831, 1980.
DOI : 10.1121/1.385172

J. G. Berryman, Elastic waves in fluid-saturated porous media, Lecture Notes in Physics, vol.154, pp.38-50, 1981.
DOI : 10.1007/3-540-11202-2_3

J. G. Berryman, Waves in partially saturated porous media. Wave propagation and inversion, 1-25, p.153, 1992.

J. G. Berryman, Origin of Gassmann???s equations, GEOPHYSICS, vol.64, issue.5, pp.187-192, 1999.
DOI : 10.1190/1.1444667

J. G. Berryman and P. A. Berge, Critique of two explicit schemes for estimating elastic properties of multiphase composites, Mechanics of Materials, vol.22, issue.2, pp.149-164, 1996.
DOI : 10.1016/0167-6636(95)00035-6

J. G. Berryman and G. W. Milton, Exact results for generalized Gassmann???s equations in composite porous media with two constituents, GEOPHYSICS, vol.56, issue.12, pp.1950-1960, 1991.
DOI : 10.1190/1.1443006

M. A. Biot, General Theory of Three???Dimensional Consolidation, Journal of Applied Physics, vol.12, issue.2, pp.155-164, 1941.
DOI : 10.1063/1.1712886
URL : https://hal.archives-ouvertes.fr/hal-01368635

M. A. Biot, Theory of Propagation of Elastic Waves in a Fluid???Saturated Porous Solid. I. Low???Frequency Range, The Journal of the Acoustical Society of America, vol.28, issue.2, pp.168-178, 1956.
DOI : 10.1121/1.1908239
URL : https://hal.archives-ouvertes.fr/hal-01368666

M. A. Biot, Theory of Propagation of Elastic Waves in a Fluid???Saturated Porous Solid. II. Higher Frequency Range, The Journal of the Acoustical Society of America, vol.28, issue.2, pp.179-191, 1956.
DOI : 10.1121/1.1908241
URL : https://hal.archives-ouvertes.fr/hal-01368666

M. A. Biot, Mechanics of Deformation and Acoustic Propagation in Porous Media, Journal of Applied Physics, vol.33, issue.4, pp.1482-1498, 1962.
DOI : 10.1063/1.1728759
URL : https://hal.archives-ouvertes.fr/hal-01368725

T. Böhlke and A. Bertram, The evolution of Hooke's law due to texture development in FCC polycrystals, International Journal of Solids and Structures, vol.38, issue.52, pp.9437-9459, 2001.
DOI : 10.1016/S0020-7683(01)00130-5

M. Bornert, Morphologie microstructurale et comportement mécanique; caractrisations expérimentales, approches par bornes et estimations autocohérentes généralisées, Ecole Nationale des Ponts et Chausses, vol.9, p.27, 1996.

M. Bornert, T. Bretheau, and P. Gilomini, Homogénéisation en mécanique des matériaux 1, Matériaux aléatoires élastiques et milieu périodiques, p.12, 2001.

M. Bornert, T. Bretheau, and P. Gilomini, Homogénéisation en mécanique des matériaux 2. Comportements non linéaires et problèmes ouverts, p.189, 2001.

H. J. Brouwers, The work of Powers and Brownyard revisited: Part 1, Cement and Concrete Research, vol.34, issue.9, pp.1697-1716, 2004.
DOI : 10.1016/j.cemconres.2004.05.031

H. J. Brouwers, The work of Powers and Brownyard revisited: Part 2, Cement and Concrete Research, vol.35, issue.10, pp.1922-1936, 2005.
DOI : 10.1016/j.cemconres.2005.04.009

R. J. Brown and J. Korringa, ON THE DEPENDENCE OF THE ELASTIC PROPERTIES OF A POROUS ROCK ON THE COMPRESSIBILITY OF THE PORE FLUID, GEOPHYSICS, vol.40, issue.4, pp.608-616, 1975.
DOI : 10.1190/1.1440551

B. Budiansky, On the elastic moduli of some heterogeneous materials, Journal of the Mechanics and Physics of Solids, vol.13, issue.4, pp.223-227, 1965.
DOI : 10.1016/0022-5096(65)90011-6

R. Burridge and J. B. Keller, Poroelasticity equations derived from microstructure, The Journal of the Acoustical Society of America, vol.70, issue.4, pp.1140-11406, 1981.
DOI : 10.1121/1.386945

V. A. Buryachenko, Micromechanics of Heterogeneous Materials, p.27, 2007.

J. G. Cabrera, Deterioration of concrete due to reinforcement steel corrosion, Cement and Concrete Composites, vol.18, issue.1, pp.47-59, 1996.
DOI : 10.1016/0958-9465(95)00043-7

J. M. Carcione, Handbook of geophysical exploration seismic exploration Wave fileds in real media: wave propagation in anisotropic, anelastic and porous media, 2001.

P. P. Castañeda, New variational principles in plasticity and their application to composite materials, Journal of the Mechanics and Physics of Solids, vol.40, issue.8, pp.1757-1788, 1992.
DOI : 10.1016/0022-5096(92)90050-C

Ö. Z. Cebeci, Pore structure of air-entrained hardened cement paste, Cement and Concrete Research, vol.11, issue.2, pp.257-265, 1981.
DOI : 10.1016/0008-8846(81)90067-3

X. Chateau and L. Dormieux, Micromechanics of saturated and unsaturated porous media, International Journal for Numerical and Analytical Methods in Geomechanics, vol.161, issue.8, pp.831-844, 2002.
DOI : 10.1002/nag.227

S. Chatterji, An explanation for the unsaturated state of water stored concrete, Cement and Concrete Composites, vol.26, issue.1, pp.75-79, 2004.
DOI : 10.1016/S0958-9465(02)00124-5

J. D. Cheeke, Fundamentals and applications of ultrasonic waves, p.100, 2002.

R. M. Christensen and K. N. 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

D. W. Christensen-jr, T. Pellien, and R. F. Bonaquist, Hirsh model for estimating the modulus of asphalt concrete, Journal of the Association of Asphalt Paving Technologists, vol.72, pp.97-121, 2003.

R. Ciz and B. Gurevich, Amplitude of Biot's slow wave scattered by a spherical inclusion in a fluid-saturated poroelastic medium, Geophysical Journal International, vol.160, issue.3, pp.991-1005, 2005.
DOI : 10.1111/j.1365-246X.2005.02556.x

R. Ciz and S. A. Shapiro, Generalization of Gassmann equations for porous media saturated with a solid material, GEOPHYSICS, vol.72, issue.6, pp.75-79, 2007.
DOI : 10.1190/1.2772400

G. Consolati and F. Quasso, Evolution of porosity in a Portland cement paste studied through positron annihilation lifetime spectroscopy, Radiation Physics and Chemistry, vol.68, issue.3-4, pp.519-521, 2003.
DOI : 10.1016/S0969-806X(03)00221-4

G. Constantinides, Invariant mechanical mropeties of Calcium-Silicate-Hydrates (C-S- H) in cement-based materials: Instrumented nanoindentation and microporomechanical modeling, p.67, 2006.

G. Constantinides and F. Ulm, The effect of two types of C-S-H on the elasticity of cement-based materials: Results from nanoindentation and micromechanical modeling, Cement and Concrete Research, vol.34, issue.1, pp.67-80, 2004.
DOI : 10.1016/S0008-8846(03)00230-8

R. A. Cook and K. C. Hover, Mercury porosimetry of hardened cement pastes, Cement and Concrete Research, vol.29, issue.6, pp.933-943, 1999.
DOI : 10.1016/S0008-8846(99)00083-6

R. L. Day and B. K. Marsh, Measurement of porosity in blended cement pastes, Cement and Concrete Research, vol.18, issue.1, pp.63-73, 1988.
DOI : 10.1016/0008-8846(88)90122-6

E. A. Dean, Elastic Moduli of Porous Sintered Materials as Modeled by a Variable-Aspect-Ratio Self-Consistent Oblate-Spheroidal-Inclusion Theory, Journal of the American Ceramic Society, vol.47, issue.12, pp.847-854, 0193.
DOI : 10.1121/1.1910143

S. Diamond, Mercury porosimetry, Cement and Concrete Research, vol.30, issue.10, pp.1517-1525, 2000.
DOI : 10.1016/S0008-8846(00)00370-7

S. Diamond and E. E. Lachowski, Investigation of the composition and morphology of individual particles of portland cement paste: 2. Calcium sulfoaluminates, Cement and Concrete Research, vol.13, issue.3, pp.335-340, 1983.
DOI : 10.1016/0008-8846(83)90032-7

S. N. Domenico, EFFECT OF BRINE???GAS MIXTURE ON VELOCITY IN AN UNCONSOLIDATED SAND RESERVOIR, GEOPHYSICS, vol.41, issue.5, pp.882-894, 1976.
DOI : 10.1190/1.1440670

L. Du and K. J. Folliard, Mechanisms of air entrainment in concrete, Cement and Concrete Research, vol.35, issue.8, pp.1463-1471, 2005.
DOI : 10.1016/j.cemconres.2004.07.026

N. C. Dutta and H. Odé, Seismic reflections from a gas???water contact, GEOPHYSICS, vol.48, issue.2, pp.148-162, 1983.
DOI : 10.1190/1.1441454

P. Duysinx, Optimisation topologique: du milieu continu à la structure élastique, p.34, 1996.

G. J. Dvorak, Transformation field analysis of inelastic composite materials, Proceedings: Mathematical and Physical Sciences, pp.311-327, 1992.

F. Eggers and U. Kaatze, Broad-band ultrasonic measurement techniques for liquids, Measurement Science and Technology, vol.7, issue.1, pp.1-19, 1996.
DOI : 10.1088/0957-0233/7/1/001

S. E. Elliot and B. F. Wiley, COMPRESSIONAL VELOCITIES OF PARTIALLY SATURATED, UNCONSOLIDATED SANDS, GEOPHYSICS, vol.40, issue.6, pp.949-954, 1975.
DOI : 10.1190/1.1440589

J. D. Eshelby, The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.241, issue.1226, pp.376-396, 1226.
DOI : 10.1098/rspa.1957.0133

J. D. Eshelby, The Elastic Field Outside an Ellipsoidal Inclusion, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.252, issue.1271, pp.561-569, 1271.
DOI : 10.1098/rspa.1959.0173

G. Faivre, H??t??rog??n??it??s ellipso??dales dans un milieu ??lastique anisotrope, Journal de Physique, vol.32, issue.4, pp.325-331, 1971.
DOI : 10.1051/jphys:01971003204032500

R. F. Feldman, The Porosity And Pore Structure Of Hydrated Portland Cement Paste, Materials Research Society Symposium Proceedings, pp.59-73, 1989.
DOI : 10.1021/ja01537a001

R. F. Feldman and P. J. Sereda, A model for hydrated Portland cement paste as deduced from sorption-length change and mechanical properties, Mat??riaux et Constructions, vol.49, issue.6, pp.509-520, 1968.
DOI : 10.1007/BF02473639

R. Fox, Probing the body with Doppler ultrasound, Physics Education, vol.31, issue.2, pp.85-90, 1996.
DOI : 10.1088/0031-9120/31/2/016

H. Fujimura, K. Sakata, H. Kiyama, and S. Nishibayashi, Experimental studies on the behavior of the porosity in cement paste (in Chinese) Report of the Faculty of Engineering, pp.59-70, 1971.

C. Gallé, Effect of drying on cement-based materials pore structure as identified by mercury intrusion porosimetry, Cement and Concrete Research, vol.31, issue.10, pp.1467-1477, 2001.
DOI : 10.1016/S0008-8846(01)00594-4

F. Gassmann, ELASTIC WAVES THROUGH A PACKING OF SPHERES, GEOPHYSICS, vol.16, issue.4, pp.673-685, 1951.
DOI : 10.1190/1.1437718

R. E. Gebhardt, Survey of North American Portland Cements: 1994. Cement, Concrete , and Aggregates, CCAGDP, vol.17, issue.2, pp.145-189, 1995.

J. Geertsma and D. C. Smit, SOME ASPECTS OF ELASTIC WAVE PROPAGATION IN FLUID???SATURATED POROUS SOLIDS, GEOPHYSICS, vol.26, issue.2, pp.169-181, 1961.
DOI : 10.1190/1.1438855

H. Gercek, Poisson's ratio values for rocks, International Journal of Rock Mechanics and Mining Sciences, vol.44, issue.1, pp.1-13, 2007.
DOI : 10.1016/j.ijrmms.2006.04.011

S. Ghabezloo, Comportement thermo-poro-mécanique d'un ciment pétrolier, Ecole Nationale des Ponts et Chaussées, p.75, 2008.

S. Ghabezloo, Association of macroscopic laboratory testing and micromechanics modelling for the evaluation of the poroelastic parameters of a hardened cement paste, Cement and Concrete Research, vol.40, issue.8, pp.1197-1210, 2010.
DOI : 10.1016/j.cemconres.2010.03.016
URL : https://hal.archives-ouvertes.fr/hal-00466680

M. Goueygou, Z. Lafhaj, and F. Soltani, Assessment of porosity of mortar using ultrasonic Rayleigh waves, NDT & E International, vol.42, issue.5, pp.353-360, 2009.
DOI : 10.1016/j.ndteint.2009.01.002
URL : https://hal.archives-ouvertes.fr/hal-00380880

M. Goueygou, B. Piwakowski, S. Ould-naffa, and F. Buyle-bodin, Assessment of broadband ultrasonic attenuation measurements in inhomogeneous media, Ultrasonics, vol.40, issue.1-8, pp.77-82, 2002.
DOI : 10.1016/S0041-624X(02)00094-X
URL : https://hal.archives-ouvertes.fr/hal-00148668

Z. C. Grasley, G. W. Scherer, D. A. Lange, and J. J. Valenza, Dynamic pressurization method for measuring permeability and modulus: II. cementitious materials, Materials and Structures, vol.17, issue.8, pp.711-721, 2006.
DOI : 10.1617/s11527-006-9184-y

A. Grimaldi and R. Luciano, Tensile stiffness and strength of fiber-reinforced concrete, Journal of the Mechanics and Physics of Solids, vol.48, issue.9, 1987.
DOI : 10.1016/S0022-5096(99)00079-4

E. Guillon, F. Benboudjema, and M. Moranville, Modelling the mechanical evolution of a chemically degraded cement paste at the microstructure scale, Proceedings of FramCos 5 -5th International Conference on Fracture Mechanics of Concrete and Concrete Structures, pp.555-562, 2004.

P. Halamickova and R. J. Detwiler, Water permeability and chloride ion diffusion in portland cement mortars: Relationship to sand content and critical pore diameter, Cement and Concrete Research, vol.25, issue.4, pp.790-802, 1995.
DOI : 10.1016/0008-8846(95)00069-O

T. C. Hansen, Physical structure of hardened cement paste. A classical approach, Materials and Structures, vol.53, issue.8/9, pp.423-436, 1986.
DOI : 10.1007/BF02472146

Z. Hashin, The Elastic Moduli of Heterogeneous Materials, Journal of Applied Mechanics, vol.29, issue.1, p.29, 1960.
DOI : 10.1115/1.3636446

Z. Hashin, On elastic behaviour of fibre reinforced materials of arbitrary transverse phase geometry, Journal of the Mechanics and Physics of Solids, vol.13, issue.3, pp.119-134, 1965.
DOI : 10.1016/0022-5096(65)90015-3

Z. Hashin, The differential scheme and its application to cracked materials, Journal of the Mechanics and Physics of Solids, vol.36, issue.6, pp.719-733, 1988.
DOI : 10.1016/0022-5096(88)90005-1

Z. Hashin and S. Shtrikman, Note on a variational approach to the theory of composite elastic materaials. The Franklin Institute Laboratories, pp.336-341, 1961.

Z. Hashin and S. Shtrikman, On some variational principles in anisotropic and nonhomogeneous elasticity, Journal of the Mechanics and Physics of Solids, vol.10, issue.4, pp.335-342, 1962.
DOI : 10.1016/0022-5096(62)90004-2

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, pp.127-140, 1963.
DOI : 10.1016/0022-5096(63)90060-7

N. Hearn and R. D. Hooton, Sample mass and dimension effects on mercury intrusion porosimetry results, Cement and Concrete Research, vol.22, issue.5, pp.970-980, 1992.
DOI : 10.1016/0008-8846(92)90121-B

C. Hellmich and H. Mang, Shotcrete Elasticity Revisited in the Framework of Continuum Micromechanics: From Submicron to Meter Level, Journal of Materials in Civil Engineering, vol.17, issue.3, pp.246-256, 2005.
DOI : 10.1061/(ASCE)0899-1561(2005)17:3(246)

M. G. Hernández, J. J. Anaya, M. A. Izquierdo, and L. G. Ullate, Application of micromechanics to the characterization of mortar by ultrasound, Ultrasonics, vol.40, issue.1-8, pp.217-221, 2002.
DOI : 10.1016/S0041-624X(02)00140-3

M. G. Hernández, J. J. Anaya, L. G. Ullate, M. Cegarra, and T. Sanchez, Application of a micromechanical model of three phases to estimating the porosity of mortar by ultrasound, Cement and Concrete Research, vol.36, issue.4, pp.617-624, 2006.
DOI : 10.1016/j.cemconres.2004.07.018

M. G. Hernández, J. J. Anaya, L. G. Ullate, and A. Ibañez, Effect of the fluid in the inclusions of cement paste on the ultrasonic velocity, Ultrasonics, vol.42, issue.1-9, pp.865-869, 2004.
DOI : 10.1016/j.ultras.2004.01.066

M. G. Hernández, J. J. Anaya, L. G. Ullate, and A. Ibañez, Formulation of a new micromechanic model of three phases for ultrasonic characterization of cement-based materials, Cement and Concrete Research, vol.36, issue.4, pp.609-616, 2006.
DOI : 10.1016/j.cemconres.2004.07.017

M. G. Hernández, M. A. Izquierdo, A. Ibáñez, J. J. Anaya, and L. G. Ullate, Porosity estimation of concrete by ultrasonic NDE, Ultrasonics, vol.38, issue.1-8, pp.531-533, 2000.
DOI : 10.1016/S0041-624X(99)00095-5

A. V. Hershey, The elasticity of an isotropic aggregate of anisotropic cubic crystals, J. Appl. Mech, vol.21, pp.236-240, 1954.

R. Hill, The Elastic Behaviour of a Crystalline Aggregate, Proc. Phys. Soc. A, pp.349-354, 1952.
DOI : 10.1088/0370-1298/65/5/307

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

R. Hill, Theory of mechanical properties of fibre-strengthened materials: I. Elastic behaviour, Journal of the Mechanics and Physics of Solids, vol.12, issue.4, pp.199-212, 1964.
DOI : 10.1016/0022-5096(64)90019-5

R. Hill, Continuum micro-mechanics of elastoplastic polycrystals, Journal of the Mechanics and Physics of Solids, vol.13, issue.2, pp.89-101, 1965.
DOI : 10.1016/0022-5096(65)90023-2

R. Hill, A self-consistent mechanics of composite materials, Journal of the Mechanics and Physics of Solids, vol.13, issue.4, pp.213-222, 1965.
DOI : 10.1016/0022-5096(65)90010-4

R. Hill, The essential structure of constitutive laws for metal composites and polycrystals, Journal of the Mechanics and Physics of Solids, vol.15, issue.2, pp.79-95, 1967.
DOI : 10.1016/0022-5096(67)90018-X

M. Hori and S. Nemat-nasser, Double-inclusion model and overall moduli of multi-phase composites, Mechanics of Materials, vol.14, issue.3, pp.189-206, 1993.
DOI : 10.1016/0167-6636(93)90066-Z

B. Hosten, Reflection and transmission of acoustic plane waves on an immersed orthotropic and viscoelastic solid layer, The Journal of the Acoustical Society of America, vol.89, issue.6, pp.2745-2752, 1991.
DOI : 10.1121/1.400685

K. C. Hover, Significance of Tests and Properties of Concrete and Concrete-Making Materials , Chapter 26: Air Content and Density of Hardened Concrete, p.63, 2006.

C. L. Hsieh and W. H. Tuan, Poisson's ratio of two-phase composites, Materials Science and Engineering: A, vol.396, issue.1-2, pp.202-205, 2005.
DOI : 10.1016/j.msea.2005.01.029

H. Ito, J. Devilbiss, and A. Nur, Compressional and shear waves in saturated rock during water-steam transition, Proceedings of the fourth workshop geothermal reservoir engineering, pp.84-95, 1978.
DOI : 10.1029/JB084iB09p04731

L. J. Jacobs and J. O. Owino, Effect of Aggregate Size on Attenuation of Rayleigh Surface Waves in Cement-Based Materials, Journal of Engineering Mechanics, vol.126, issue.11, pp.1124-1130, 2000.
DOI : 10.1061/(ASCE)0733-9399(2000)126:11(1124)

S. Jansson, Homogenized nonlinear constitutive properties and local stress concentrations for composites with periodic internal structure, International Journal of Solids and Structures, vol.29, issue.17, pp.2181-2200, 1992.
DOI : 10.1016/0020-7683(92)90065-2

H. M. Jennings, A model for the microstructure of calcium silicate hydrate in cement paste, Cement and Concrete Research, vol.30, issue.1, pp.101-116, 2000.
DOI : 10.1016/S0008-8846(99)00209-4

H. Jeong, D. K. Hsu, R. E. Shannon, and P. K. Liaw, Characterization of anisotropic elastic constants of Silicon-Carbide particulate reinforced aluminum metal matrix composites: Part II. Theory. Metallurgical and materials transactions A, pp.811-819, 1994.

B. Johannesson and O. B. Pedersen, Analytical determination of the average Eshelby tensor for transversely isotropic fiber orientation distributions, Acta Materialia, vol.46, issue.9, pp.3165-3173, 1998.
DOI : 10.1016/S1359-6454(98)00003-2

D. L. Johnson, Equivalence between fourth sound in liquid He???II at low temperatures and the Biot slow wave in consolidated porous media, Applied Physics Letters, vol.37, issue.12, pp.1065-1067, 1980.
DOI : 10.1063/1.91878

D. L. Johnson and T. J. Plona, Acoustic slow waves and the consolidation transition, The Journal of the Acoustical Society of America, vol.72, issue.2, pp.556-565, 1982.
DOI : 10.1121/1.388036

F. A. Johnson, Elastic Constants. I, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.357, issue.1690, pp.289-295, 1690.
DOI : 10.1098/rspa.1977.0168

M. Kaczmarek and M. Goueygou, Dependence of Elastic Properties of Materials on Their Porosity: Review of Models, Journal of Porous Media, vol.9, issue.4, pp.335-355, 2006.
DOI : 10.1615/JPorMedia.v9.i4.50
URL : https://hal.archives-ouvertes.fr/hal-00140380

K. O. Kjellsen, A. Mons?y, K. Isachsen, and R. J. Detwiler, Preparation of flat-polished specimens for SEM-backscattered electron imaging and X-ray microanalysis???importance of epoxy impregnation, Cement and Concrete Research, vol.33, issue.4, pp.611-616, 2003.
DOI : 10.1016/S0008-8846(02)01029-3

H. Klöcker, É. Berger, and G. Damamme, Explicit expression of the polarisation tensor of a transversely isotropic matrix. Comptes Rendus de l'Académie des Sciences -Series IIB -Mechanics-Physics-Astronomy, pp.799-804, 1998.

R. V. Kohn and R. Lipton, Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials. Archive for Rational Mechanics ans Analysis, pp.331-350, 1988.

K. Komlo?, S. Popovics, T. Nürnbergerová, B. Babál, and J. S. Popovics, Ultrasonic pulse velocity test of concrete properties as specified in various standards, Cement and Concrete Composites, pp.357-364, 1996.

S. H. Kosmatka, B. Kerkhoff, and W. C. Panarese, Design and Control of Concrete Mixtures; Chapter 6. Cement Association of Canada, fifth Canadian edition, p.68, 1991.

M. Krus, K. K. Hansen, and H. M. , Porosity and liquid absorption of cement paste, Materials and Structures, vol.14, issue.7, pp.394-398, 1997.
DOI : 10.1007/BF02498561

R. Kumar and B. Bhattacharjee, Study on some factors affecting the results in the use of MIP method in concrete research, Cement and Concrete Research, vol.33, issue.3, pp.417-424, 2003.
DOI : 10.1016/S0008-8846(02)00974-2

T. Kundu, Nondestructive Evaluation. Kirk-Othmer Encyclopedia of Chemical Technology, 2004.

G. T. Kuster and M. N. Toksöz, 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

G. T. Kuster and M. N. Toksöz, VELOCITY AND ATTENUATION OF SEISMIC WAVES IN TWO???PHASE MEDIA: PART II. EXPERIMENTAL RESULTS, GEOPHYSICS, vol.39, issue.5, pp.607-618, 1974.
DOI : 10.1190/1.1440451

Y. W. Kwon and J. M. Berner, Micromechanics model for damage and failure analyses of laminated fibrous composites, Engineering Fracture Mechanics, vol.52, issue.2, pp.231-242, 1995.
DOI : 10.1016/0013-7944(95)00017-P

Z. Lafhaj, M. Goueygou, A. Djerbi, and M. Kaczmarek, Correlation between porosity, permeability and ultrasonic parameters of mortar with variable water/cement ratio and water content, Cement and Concrete Research, vol.36, issue.4, pp.625-633, 2006.
DOI : 10.1016/j.cemconres.2005.11.009
URL : https://hal.archives-ouvertes.fr/hal-00069698

Z. Lafhaj and M. Goueygou, Experimental study on sound and damaged mortar: Variation of ultrasonic parameters with porosity, Construction and Building Materials, vol.23, issue.2, pp.953-958, 2009.
DOI : 10.1016/j.conbuildmat.2008.05.012
URL : https://hal.archives-ouvertes.fr/hal-00354607

L. Lam, Y. L. Wong, and C. S. Poon, Degree of hydration and gel/space ratio of high-volume fly ash/cement systems, Cement and Concrete Research, vol.30, issue.5, pp.747-756, 2000.
DOI : 10.1016/S0008-8846(00)00213-1

E. N. Landis and S. P. Shah, Frequency-Dependent Stress Wave Attenuation in Cement-Based Materials, Journal of Engineering Mechanics, vol.121, issue.6, pp.737-743, 1995.
DOI : 10.1061/(ASCE)0733-9399(1995)121:6(737)

E. N. Landis, E. N. Nagy, and D. T. Keane, Microstructure and fracture in three dimensions, Engineering Fracture Mechanics, vol.70, issue.7-8, pp.911-925, 2003.
DOI : 10.1016/S0013-7944(02)00157-1

E. N. Landis, E. N. Nagy, and D. T. Keane, Microtomographic Measurements of Internal Damage in Portland-Cement-Based Composites, Journal of Aerospace Engineering, vol.10, issue.1, pp.2-6, 1997.
DOI : 10.1061/(ASCE)0893-1321(1997)10:1(2)

N. Laws, On the thermostatics of composite materials, Journal of the Mechanics and Physics of Solids, vol.21, issue.1, pp.9-17, 1921.
DOI : 10.1016/0022-5096(73)90027-6

G. Li, Y. Zaho, and S. Pang, Four-phase sphere modeling of effective bulk modulus of concrete, Cement and Concrete Research, vol.29, issue.6, pp.839-845, 1999.
DOI : 10.1016/S0008-8846(99)00040-X

S. Li, Introduction to micromechanics and nanomechanics. Lecture notes (CE236/C214), departement of Civil and nvironmenatal Engineering, p.29

G. Lielens, Micro-macro modeling of structured materials, p.44, 1999.

P. Lipinski and M. Berveiller, Elastoplasticity of micro-inhomogeneous metals at large strains, International Journal of Plasticity, vol.5, issue.2, pp.149-172, 1989.
DOI : 10.1016/0749-6419(89)90027-2

J. Llorca, A. Needleman, and S. Suresh, An analysis of the effects of matrix void growth on deformation and ductility in metal-ceramic composites, Acta Metallurgica et Materialia, vol.39, issue.10, pp.2317-2335, 1991.
DOI : 10.1016/0956-7151(91)90014-R

B. Loret and N. Khalili, A three-phase model for unsaturated soils, International Journal for Numerical and Analytical Methods in Geomechanics, vol.46, issue.11, pp.893-927, 2000.
DOI : 10.1002/1096-9853(200009)24:11<893::AID-NAG105>3.0.CO;2-V

S. Maalej, Z. Lafhaj, and M. Bouassida, Mechanical properties of cement-based material: comparison between micromechanical models and experimental results, Proceedings of the first International Conference of Geotechnical Engineering (ICGE-08), 2008.

S. Maalej, Z. Lafhaj, and M. Bouassida, Comparison between ultrasonic and micromechanical cement paste elastic moduli: influence of pores aspect ratio, Proceedings of the third International Congress. Design and Modelling of Mechanical Systems, p.163, 2009.

S. Maalej, Z. Lafhaj, and M. Bouassida, Determination of cement paste mechanical properties: comparison between micromechanical and ultrasound results. Computational modelling of concrete structures (Proceedings of EURO-C, Rohrmoos/Schladming, Austria, pp.173-177, 2010.

S. Maalej, Z. Lafhaj, and M. Bouassida, Micromechanical assessment of ultrasound velocity in entrained air cement paste, Proceedings of the tenth European Conference on NDT, p.141

V. M. Malhotra and N. J. Carino, Handbook on Nondestructive testing of concrete, 2004.

K. Z. Markov, Justification of an effective field method in elasto-statics of heterogeneous solids, Journal of the Mechanics and Physics of Solids, vol.49, issue.11, pp.2621-2634, 2001.
DOI : 10.1016/S0022-5096(01)00071-0

J. C. Maxwell, A treatise on electricity and magnetism, p.1873

A. Mizrach and U. Flitsanov, NONDESTRUCTIVE ULTRASONIC MEASUREMENT METHOD FOR EVALUATION AVOCADO RIPENING, Proc. Second IS on Sensors in Horticulture, pp.111-119, 1998.
DOI : 10.17660/ActaHortic.1998.421.10

J. Mobley, K. R. Waters, C. S. Hall, J. N. Marsh, M. S. Hughes et al., Measurements and predictions of the phase velocity and attenuation coefficient in suspensions of elastic microspheres, The Journal of the Acoustical Society of America, vol.106, issue.2, pp.652-659, 1999.
DOI : 10.1121/1.427139

P. J. Monteiro and C. T. Chang, The elastic moduli of calcium hydroxide, Cement and Concrete Research, vol.25, issue.8, pp.1605-1609, 1995.
DOI : 10.1016/0008-8846(95)00154-9

T. Mori and K. Tanaka, Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metallurgica, vol.21, issue.5, pp.571-574, 1973.
DOI : 10.1016/0001-6160(73)90064-3

M. Moukwa and P. Aïtcin, The effect of drying on cement pastes pore structure as determined by mercury porosimetry, Cement and Concrete Research, vol.18, issue.5, pp.745-752, 1988.
DOI : 10.1016/0008-8846(88)90098-1

T. Mura, Micromechanics of defects in solids. Martinus Nijhoff, The Hague, 1982.

P. Navi and C. Pignat, Three-dimensional characterization of the pore structure of a simulated cement paste, Cement and Concrete Research, vol.29, issue.4, pp.507-514, 1999.
DOI : 10.1016/S0008-8846(98)00199-9

C. Nan, K. Cai, and R. Yuan, A relation between multiple-scattering theory and micromechanical models of effective thermoelastic properties, Ceramics International, vol.22, issue.6, pp.457-461, 1996.
DOI : 10.1016/0272-8842(95)00094-1

S. Nemat-nasser and M. Hori, Micromechanics: Overall Properties of Heterogeneous Materials, Journal of Applied Mechanics, vol.63, issue.2, p.50, 1999.
DOI : 10.1115/1.2788912

A. M. Neville, Properties of concrete. Fourth and Final Edition, Pearson Education Limited, 2OO2, p.71

A. N. Norris, A differential scheme for the effective moduli of composites, Mechanics of Materials, vol.4, issue.1, pp.1-16, 1985.
DOI : 10.1016/0167-6636(85)90002-X

A. N. Norris, A. J. Callegari, and P. Sheng, A generalized differential effective medium theory, Journal of the Mechanics and Physics of Solids, vol.33, issue.6, pp.525-543, 1985.
DOI : 10.1016/0022-5096(85)90001-8

E. Ohdaira and N. Masuzawa, Water content and its effect on ultrasound propagation in concrete ??? the possibility of NDE, Ultrasonics, vol.38, issue.1-8, pp.546-552, 2000.
DOI : 10.1016/S0041-624X(99)00158-4

A. V. Oppenheim, R. W. Schafer, and J. R. Buck, Discrete-time signal processing, NJ, p.105, 1999.

J. V. Perfettini, E. Revertegat, and N. Langomazino, Evaluation of cement degradation induced by the metabolic products of two fungal strains, Experientia, vol.3, issue.6, pp.527-533, 1991.
DOI : 10.1007/BF01949872

B. Persson, Moisture in concrete subjected to different kinds of curing, Materials and Structures, vol.30, issue.199, pp.533-577, 1997.
DOI : 10.1007/BF02486397

B. Pichler, C. Hellmich, and J. Eberhardsteiner, Spherical and acicular representation of hydrates in a micromechanical model for cement paste: prediction of early-age elasticity and strength, Acta Mechanica, vol.128, issue.8, pp.137-162, 2008.
DOI : 10.1007/s00707-008-0007-9

O. Pierard, C. Friebel, and I. Doghri, Mean-field homogenization of multi-phase thermo-elastic composites: a general framework and its validation, Composites Science and Technology, vol.64, issue.10-11, pp.1587-1603, 2004.
DOI : 10.1016/j.compscitech.2003.11.009

O. Pierard, C. González, J. Segurado, J. Llorca, and I. Doghri, Micromechanics of elasto-plastic materials reinforced with ellipsoidal inclusions, International Journal of Solids and Structures, vol.44, issue.21, pp.6945-6962, 2007.
DOI : 10.1016/j.ijsolstr.2007.03.019

J. S. Popovics and J. L. Rose, A survey of developments in ultrasonic NDE of concrete, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.41, issue.1, pp.140-143, 1994.
DOI : 10.1109/58.265832

L. Pourcelot and F. Patat, Progr??s et perspectives ultrasonores, IRBM, vol.30, issue.2, pp.47-52, 2009.
DOI : 10.1016/j.irbm.2009.01.001

M. J. Povey, Ultrasonic techniques for fluids characterization, p.99, 1997.

T. C. Powers, Void spacing as a basic for producing air-entrained concrete, J. Am. Concr. Inst, vol.25, issue.63, pp.741-760, 1954.

V. S. Ramachandran, Concrete admixutes handbook: Properties, Science, and Technology, p.61, 1995.

K. L. Rens, C. L. Nogueira, and D. J. Transue, Bridge Management and Nondestructive Evaluation, Journal of Performance of Constructed Facilities, vol.19, issue.1, pp.3-16, 2005.
DOI : 10.1061/(ASCE)0887-3828(2005)19:1(3)

M. H. Repacholi and D. A. Benwell, Essentials of medical ultrasound: a practical introduction to the principles, techniques and biomedical applications, p.100, 1982.
DOI : 10.1007/978-1-4612-5805-6

S. Roels, J. Elsen, J. Carmeliet, and H. Hens, Characterisation of pore structure by combining mercury porosimetry and micrography, Materials and Structures, vol.10, issue.3, pp.76-82, 2001.
DOI : 10.1007/BF02481555

M. G. Richardson, Fundamentals of durable reinforced concrete, p.63, 2002.
DOI : 10.4324/9780203223192

F. Rollet, M. Mansell, and S. Cochran, Determining moisture content in concrete under simulated precipitation using ultrasonic propagation time measurements, Nondestructive Testing and Evaluation, vol.122, issue.4, pp.241-255, 2008.
DOI : 10.1680/macr.1986.38.137.220

D. M. Roy, P. W. Brown, D. Shi, B. E. Scheetz, and W. May, Concrete microstructure porosity and permeability, Nat. Res. Counc, p.73, 1993.

W. Sachse and Y. Pao, On the determination of phase and group velocities of dispersivewaves in solids, J. Acoust. Soc. Am, vol.49, issue.8 103, pp.4320-4327, 1978.

E. Sakai, T. Kasuga, T. Sugiyama, K. Asaga, and M. Daimon, Influence of superplasticizers on the hydration of cement and the pore structure of hardened cement, Cement and Concrete Research, vol.36, issue.11, pp.2049-2053, 2006.
DOI : 10.1016/j.cemconres.2006.08.003

H. S. Salem, Determination of the Acoustic Coupling Factor of Biot's Theory of Elasticity, Using in situ Seismic Measurements, Energy Sources, vol.216, issue.10, pp.917-936, 2001.
DOI : 10.1190/1.1439063

J. Salençon, Handbook of Continuum Mechanics: General Concepts-thermoelasticity. First edition, p.185, 2001.
DOI : 10.1007/978-3-642-56542-7

M. M. Salta and E. V. Pereira, Factors influencing the corrosion in reinforced concrete. State of the art

J. Sanahuja, L. Dormieux, and G. Chanvillard, Modelling elasticity of a hydrating cement paste, Cement and Concrete Research, vol.37, issue.10, pp.1427-1439, 2007.
DOI : 10.1016/j.cemconres.2007.07.003

L. M. Schwartz and D. L. Johnson, Long-wavelength acoustic propagation in ordered and disordered suspensions, Physical Review B, vol.30, issue.8, pp.4302-4313, 1984.
DOI : 10.1103/PhysRevB.30.4302

I. Sevostianov, N. Yilmaz, V. Kushch, and V. Levin, Effective elastic properties of matrix composites with transversely-isotropic phases, International Journal of Solids and Structures, vol.42, issue.2, pp.455-476, 2005.
DOI : 10.1016/j.ijsolstr.2004.06.047

S. P. Shah and S. Choi, Nondestructive techniques for studying fracture processes in concrete, International Journal of Fracture, vol.98, issue.3/4, pp.351-359, 1999.
DOI : 10.1023/A:1018620008780

T. J. Sheppard, Solid state gas metering ??? the future, Flow Measurement and Instrumentation, vol.5, issue.2, pp.103-106, 1994.
DOI : 10.1016/0955-5986(94)90043-4

D. Shi and D. N. Winslow, Contact angle and damage during mercury intrusion into cement paste, Cement and Concrete Research, vol.15, issue.4, pp.645-654, 1985.
DOI : 10.1016/0008-8846(85)90064-X

M. Shink, Compatibilité élastique, comportement mécanique et optimisation des bétons de granulats légers, p.24, 2003.

M. M. Shukla and N. T. , A calculation of the Debye characteristic temperature of cubic crystals, Revista Brasileira de Física, vol.3, issue.1, pp.39-45, 1973.

F. Soltani, Caractérisation de la pâte de ciment par des méthodes ultrasonores, p.97, 2010.

S. R. Stock, N. K. Naik, A. P. Wilkinson, and K. E. Kurtis, X-ray microtomography (microCT) of the progression of sulfate attack of cement paste, Cement and Concrete Research, vol.32, issue.10, pp.1673-1675, 2002.
DOI : 10.1016/S0008-8846(02)00814-1

P. E. Stutzman and J. R. Clifton, Specimen preparation for scanning electron microscopy, Proceedings of the Twenty-First International Conference on Cement Microscopy, pp.10-22, 1999.

P. E. Stutzman, Scanning electron microscopy in concrete petrography. The American Ceramic Society, pp.59-72, 2000.

K. Tanaka and T. Mori, Note on volume integrals of the elastic field around an ellipsoidal inclusion, Journal of Elasticity, vol.23, issue.3, pp.199-200, 1972.
DOI : 10.1007/BF00125528

G. P. Tandon and G. J. Weng, Average stress in the matrix and effective moduli of randomly oriented composites, Composites Science and Technology, vol.27, issue.2, pp.111-132, 0190.
DOI : 10.1016/0266-3538(86)90067-9

H. F. Taylor, Cement chemistry, pp.61-71, 1997.
DOI : 10.1680/cc.25929

P. D. Tennis and H. M. Jennings, A model for two types of calcium silicate hydrate in the microstructure of Portland cement pastes, Cement and Concrete Research, vol.30, issue.6, pp.855-863, 2000.
DOI : 10.1016/S0008-8846(00)00257-X

K. Tharmaratnam and B. S. Tan, Attenuation of ultrasonic pulse in cement mortar, Cement and Concrete Research, vol.20, issue.3, pp.335-345, 1990.
DOI : 10.1016/0008-8846(90)90022-P

J. J. Thomas and H. M. Jennings, Effect of Heat Treatment on the Pore Structure and Drying Shrinkage Behavior of Hydrated Cement Paste, Journal of the American Ceramic Society, vol.25, issue.9, pp.2293-2298, 2002.
DOI : 10.1016/0008-8846(83)90089-3

J. J. Thomas, H. M. Jennings, and A. J. Allen, The surface area of cement paste as measured by neutron scattering: evidence for two C-S-H morphologies, Cement and Concrete Research, vol.28, issue.6, pp.897-905, 1998.
DOI : 10.1016/S0008-8846(98)00049-0

T. Uomoto, Non-Destructive Testing in Civil Enngineering, 2000.

V. V. Vasiliev and E. V. Morozov, Advanced mechanics of composite materials, p.96, 2007.

K. Velez, S. Maximilien, D. Damidot, G. Fantozzi, and F. Sorrentino, Determination by nanoindentation of elastic modulus and hardness of pure constituents of Portland cement clinker, Cement and Concrete Research, vol.31, issue.4, pp.555-561, 2001.
DOI : 10.1016/S0008-8846(00)00505-6

I. Vlahini´cvlahini´c, H. M. Jennings, and J. J. Thomas, A constitutive model for drying of a partially saturated porous material, Mechanics of Materials, vol.41, issue.3, pp.319-328, 2009.
DOI : 10.1016/j.mechmat.2008.10.011

H. Q. Vu, Estimation des propriétés poromécaniques effectives des argiles : apport des méthodes d'homogénéisation, p.18, 2006.

J. P. Watt, G. F. Davies, and R. J. , The elastic properties of composite materials. Reviews of geophysics and space physics, pp.541-563, 1976.

L. J. Walpole, On bounds for the overall elastic moduli of inhomogeneous systems???I, Journal of the Mechanics and Physics of Solids, vol.14, issue.3, pp.151-162, 1966.
DOI : 10.1016/0022-5096(66)90035-4

L. J. Walpole, On bounds for the overall elastic moduli of inhomogeneous systems???II, Journal of the Mechanics and Physics of Solids, vol.14, issue.5, pp.289-301, 1966.
DOI : 10.1016/0022-5096(66)90025-1

L. J. Walpole, On the overall elastic moduli of composite materials, Journal of the Mechanics and Physics of Solids, vol.17, issue.4, pp.235-251, 0194.
DOI : 10.1016/0022-5096(69)90014-3

J. B. Walsh, New analysis of attenuation in partially melted rock, Journal of Geophysical Research, vol.2, issue.6, pp.4333-4337, 0194.
DOI : 10.1029/JB074i017p04333

J. B. Walsh, W. F. Brace, and A. W. England, Effect of Porosity on Compressibility of Glass, Journal of the American Ceramic Society, vol.221, issue.9, pp.605-608, 1965.
DOI : 10.1121/1.1908597

H. Wang and Q. Li, Prediction of elastic modulus and Poisson???s ratio for unsaturated concrete, International Journal of Solids and Structures, vol.44, issue.5, pp.1370-1379, 2007.
DOI : 10.1016/j.ijsolstr.2006.06.028

E. W. Washburn, Note on a Method of Determining the Distribution of Pore Sizes in a Porous Material, Proc. Natl. Acad. Sci, pp.115-116, 1921.
DOI : 10.1073/pnas.7.4.115

G. Washer, P. Fuchs, and B. Graybeal, Elastic properties of reactive powder concrete . Non-Destructive Testing in Civil Engineering, p.183, 2003.

G. J. Weng, A micromechanical theory of grain-size dependence in metal plasticity, Journal of the Mechanics and Physics of Solids, vol.31, issue.3, pp.193-203, 1983.
DOI : 10.1016/0022-5096(83)90021-2

K. W. Winkler and A. Nur, Seismic attenuation: Effects of pore fluids and frictional???sliding, GEOPHYSICS, vol.47, issue.1, pp.1-15, 1982.
DOI : 10.1190/1.1441276

P. J. Withers, W. M. Stobbs, and O. B. Pederson, The application of the eshelby method of internal stress determination to short fibre metal matrix composites, Acta Metallurgica, vol.37, issue.11, pp.3061-3084, 1989.
DOI : 10.1016/0001-6160(89)90341-6

H. S. Wong, M. K. Head, and N. R. Buenfeld, Characterizing the pore structure of cement-based materials using backscattered electron and confocal microscopy. Measuring, Monitoring and Modeling Concrete Properties, pp.495-502, 2006.

T. T. Wu, The effect of inclusion shape on the elastic moduli of a two-phase material, International Journal of Solids and Structures, vol.2, issue.1, pp.1-8, 1966.
DOI : 10.1016/0020-7683(66)90002-3

Y. Xi and H. M. Jennings, Shrinkage of cement paste and concrete modelled by a multiscale effective homogeneous theory, Materials and Structures, vol.44, issue.159, pp.329-339, 1997.
DOI : 10.1007/BF02480683

I. O. Yaman, N. Hearn, and H. M. Aktan, Active and non-active porosity in concrete Part I: Experimental evidence, Materials and Structures, vol.16, issue.246, pp.102-109, 2002.
DOI : 10.1007/BF02482109

I. O. Yaman, H. M. Aktan, and N. Hearn, Active and non-active porosity in concrete Part II: Evaluation of existing models, Materials and Structures, vol.12, issue.1, pp.110-116, 2002.
DOI : 10.1007/BF02482110

C. C. Yang, APPROXIMATE ELASTIC MODULI OF LIGHTWEIGHT AGGREGATE, Cement and Concrete Research, vol.27, issue.7, pp.1021-1030, 0190.
DOI : 10.1016/S0008-8846(97)00099-9

C. C. Yang and R. Huang, Double inclusion model for approximate elastic moduli of concrete material, Cement and Concrete Research, vol.26, issue.1, pp.83-91, 1996.
DOI : 10.1016/0008-8846(95)00196-4

N. Yang, J. H. Kim, J. J. Thomas, O. Balogun, and S. Krishnaswamy, Characterization of water-saturated porous cement paste by a lazer based ultrasonic NDE technique, pp.1541-1548, 2010.

G. Ye, Experimental study and numerical simulation of the development of the microstructure and permeability of cementitious Materials, p.66, 2003.

M. W. Zemansky and R. H. Dittman, Heat and thermadynamics: An intermediate textbook. The McGraw-HILL Companies, p.100, 1997.

R. W. Zimmerman, Elastic moduli of a solid containing spherical inclusions, Mechanics of Materials, vol.12, issue.1, pp.17-24, 1991.
DOI : 10.1016/0167-6636(91)90049-6

R. W. Zimmerman, M. S. King, and P. J. Monteiro, The elastic moduli of mortar as a porous-granular material, Cement and Concrete Research, vol.16, issue.2, pp.239-245, 1986.
DOI : 10.1016/0008-8846(86)90140-7

A. Zofka, M. O. Marasteanu, T. R. Clyne, X. Li, and O. Hoffmann, Developement of simple asphalt test for determination of RAP blending charts, Final Report, p.28, 2004.

T. I. Zohdi and P. Wriggers, Computational Micro-macro Material Testing. Archives of Computational Methods in Engineering-State of the art reviews, pp.3-106, 2001.