G. Chen, D. Pageot, J. Legland, O. Abraham, M. Chekroun et al., Numerical modeling of ultrasonic coda wave interferometry in a multiple scattering medium with a localized nonlinear defect, Wave Motion, vol.72, pp.228-243, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01520252

D. M. Mccann and M. C. Forde, Review of NDT methods in the assessment of concrete and masonry structures, NDT & E Int, vol.34, issue.2, pp.71-84, 2001.

C. Payan, V. Garnier, J. Moysan, and P. A. Johnson, Determination of third order elastic constants in a complex solid applying coda wave interferometry, Appl. Phys. Lett, vol.94, issue.1, p.11904, 2009.

K. Aki and B. Chouet, Origin of coda waves: source, attenuation, and scattering effects, J. Geophys. Res, vol.80, issue.23, pp.3322-3342, 1975.

G. Poupinet, W. L. Ellsworth, and J. Fréchet, Monitoring velocity variations in the crust using earthquake doublets: an application to the Calaveras Fault, California, J. Geophys. Res, vol.89, pp.5719-5731, 1984.

A. Grêt, R. Snieder, R. C. Aster, and P. R. Kyle, Monitoring rapid temporal change in a volcano with coda wave interferometry, Geophys. Res. Lett, vol.32, issue.6, pp.10-1029, 2005.

Y. Zhang, O. Abraham, F. Grondin, A. Loukili, V. Tournat et al., Study of stress-induced velocity variation in concrete under direct tensile force and monitoring of the damage level by using thermally-compensated coda wave interferometry, Ultrasonics, vol.52, issue.8, pp.1038-1045, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01007343

E. Larose and S. Hall, Monitoring stress related velocity variation in concrete with a 2 × 10 -5 relative resolution using diffuse ultrasound, J. Acoust. Soc. Am, vol.125, issue.4, pp.1853-1856, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00352370

B. Hilloulin, Y. Zhang, O. Abraham, A. Loukili, F. Grondin et al., Small crack detection in cementitious materials using nonlinear coda wave modulation, NDT & E Int, vol.68, pp.98-104, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01073102

J. Legland, Y. Zhang, O. Abraham, O. Durand, and V. Tournat, Evaluation of crack status in a meter-size concrete structure using the ultrasonic nonlinear coda wave interferometry, J. Acoust. Soc. Am, vol.142, issue.4, pp.2233-2241, 2017.

E. Larose, A. Obermann, A. Digulescu, T. Planes, J. F. Chaix et al., Locating and characterizing a crack in concrete with diffuse ultrasound: a four-point bending test, J. Acoust. Soc. Am, vol.138, issue.1, pp.232-241, 2015.
URL : https://hal.archives-ouvertes.fr/hal-02454600

Y. Zhang, T. Planes, E. Larose, A. Obermann, C. Pospars et al., Diffuse ultrasound monitoring of stress and damage development on a 15-ton concrete beam, J. Acoust. Soc. Am, vol.139, issue.4, pp.1691-1701, 2016.

Y. Zhang, E. Larose, L. Moreau, and G. , Three-dimensional in-situ imaging of cracks in concrete using diffuse ultrasound, Struct. Health Monit, vol.17, issue.2, pp.279-284, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02134070

K. Van-den-abeele, P. A. Johnson, and A. Sutin, Nonlinear elastic wave spectroscopy (NEWS) techniques to discern material damage, part i: nonlinear wave modulation spectroscopy (NWMS), Res. Nondestr. Eval, vol.12, issue.1, pp.17-30, 2000.

G. Renaud, J. Rivière, P. L. Bas, and P. A. Johnson, Hysteretic nonlinear elasticity of berea sandstone at low-vibrational strain revealed by dynamic acousto-elastic testing, Geophys. Res. Lett, vol.40, issue.4, pp.715-719, 2013.

J. N. Eiras, Q. A. Vu, M. Lott, J. Payá, V. Garnier et al., Dynamic acousto-elastic test using continuous probe wave and transient vibration to investigate material nonlinearity, Ultrasonics, vol.69, pp.29-37, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01291010

P. A. Johnson, B. Zinszner, and P. N. Rasolofosaon, Resonance and elastic nonlinear phenomena in rock, J. Geophys. Res. B: Solid Earth, vol.101, issue.B5, pp.11553-11564, 1996.

P. A. Johnson and R. A. Guyer, The astonishing case of mesoscopic elastic nonlinearity, Phys. Today, vol.52, pp.30-35, 1999.

O. Buck, W. L. Morris, and J. M. Richardson, Acoustic harmonic generation at unbonded interfaces and fatigue cracks, Appl. Phys. Lett, vol.33, issue.5, pp.371-373, 1978.

P. A. Johnson and A. Sutin, Slow dynamics and anomalous nonlinear fast dynamics in diverse solids, J. Acoust. Soc. Am, vol.117, p.124, 2005.

Y. Zhang, V. Tournat, O. Abraham, O. Durand, S. Letourneur et al., Nonlinear mixing of ultrasonic coda waves with lower frequency-swept pump waves for a global detection of defects in multiple scattering media, J. Appl. Phys, vol.113, issue.6, p.64905, 2013.

Y. Zhang, V. Tournat, O. Abraham, O. Durand, S. Letourneur et al., Nonlinear modulation of ultrasonic coda waves for the global evaluation of damage levels in complex solids, Ultrasonics, vol.73, pp.245-252, 2016.

D. Komatitsch and J. P. Vilotte, The spectral element method: an effective tool to simulate the seismic response of 2D and 3D geological structures, B. Seismol. Soc. Am, vol.88, pp.5961-5972, 1998.

R. Snieder, A. Grêt, H. Douma, and J. Scales, Coda wave interferometry for estimating nonlinear behavior in seismic velocity, Science, vol.295, issue.5563, pp.2253-2255, 2002.

C. Geuzaine and J. F. Remacle, Gmsh: a three-dimensional finite element mesh generator with built-in pre-and post-processing facilities, Int. J. Numer. Meth. Eng, vol.79, issue.11, pp.1309-1331, 2009.

K. R. Mccall and R. Guyer, Equation of state and wave propagation in hysteretic nonlinear elastic materials, J. Geophys. Res. B: Solid Earth, vol.99, issue.B12, pp.23887-23897, 1994.

G. M. Mavko and A. Nur, Effect of non-elliptical cracks on compressibility of rocks, J. Geophys. Res, vol.83, issue.9, pp.4459-4468, 1978.

J. C. Savage, Attenuation of elastic waves in granular mediums, J. Geophys. Res, vol.70, pp.3935-3942, 1965.

H. P. Liu, D. L. Anderson, and H. Kanamori, Velocity dispersion due to anelasticity; implication for seismology and mantle composition, Geophys. J. Roy. Astr. S, vol.47, pp.41-58, 1976.

V. Y. Zaitsev, V. E. Gusev, V. E. Nazarov, and B. Castagnède, Interaction of acoustic waves with cracks: elastic and inelastic nonlinearity mechanisms on different time scales, Acoust. Phys, vol.51, pp.67-77, 2005.

P. Blanloeuil, A. Meziane, and C. Bacon, 2D finite element modeling of the non-collinear mixing method for detection and characterization of closed cracks, NDT & E Int, vol.76, pp.43-51, 2015.

P. Blanloeuil, A. Meziane, A. N. Norris, and C. Bacon, Analytical extension of finite element solution for computing the nonlinear far field of ultrasonic waves scattered by a closed crack, Wave Motion, vol.66, pp.132-146, 2016.