R. Ashman, S. Cowin, W. Van-buskirk, and J. Rice, A continuous wave technique for the measurement of the elastic properties of cortical bone, Journal of Biomechanics, vol.17, issue.5, pp.349-361, 1984.
DOI : 10.1016/0021-9290(84)90029-0

B. A. Auld, Acoustic fields and waves in solids, p.218, 1973.

A. P. Baumann, J. M. Deuerling, D. J. Rudy, G. L. Niebur, and R. K. Roeder, The relative influence of apatite crystal orientations and intracortical porosity on the elastic anisotropy of human cortical bone, Journal of Biomechanics, vol.45, issue.16, pp.45-2743, 2012.
DOI : 10.1016/j.jbiomech.2012.09.011

S. Bernard, Q. Grimal, and P. Laugier, Accurate measurement of cortical bone elasticity tensor with resonant ultrasound spectroscopy, Journal of the Mechanical Behavior of Biomedical Materials, vol.18, pp.12-19, 2013.
DOI : 10.1016/j.jmbbm.2012.09.017

S. Bernard, Q. Grimal, and P. Laugier, Resonant ultrasound spectroscopy for viscoelastic characterization of anisotropic attenuative solid materials, The Journal of the Acoustical Society of America, vol.135, issue.5, pp.2601-2613, 2014.
DOI : 10.1121/1.4869084

S. Bernard, G. Marrelec, P. Laugier, and Q. Grimal, Bayesian normal modes identification and estimation of elastic coefficients in resonant ultrasound spectroscopy, Inverse Problems, vol.31, issue.6, pp.31-065010, 2015.
DOI : 10.1088/0266-5611/31/6/065010

URL : https://hal.archives-ouvertes.fr/hal-01314378

P. Droin, G. Berger, and P. Laugier, Velocity dispersion of acoustic waves in cancellous bone, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.45, issue.3, pp.581-592, 1998.
DOI : 10.1109/58.677603

K. Engelke, B. Van-rietbergen, and P. Zysset, FEA to Measure Bone Strength: A Review, Clinical Reviews in Bone and Mineral Metabolism, vol.81, issue.4, pp.26-37, 2016.
DOI : 10.1007/s12018-015-9201-1

M. Granke, Q. Grimal, A. Sa¨?edsa¨?ed, P. Nauleau, F. Peyrin et al., Change in porosity is the major determinant of the variation of cortical bone elasticity at the millimeter scale in aged women, Bone, vol.49, issue.5, pp.1020-1026, 2011.
DOI : 10.1016/j.bone.2011.08.002

URL : https://hal.archives-ouvertes.fr/hal-01301976

Q. Grimal, S. Haupert, D. Mitton, L. Vastel, and P. Laugier, Assessment of cortical bone elasticity and strength: Mechanical testing and ultrasound provide complementary data, Medical Engineering & Physics, vol.31, issue.9, pp.31-1140, 2009.
DOI : 10.1016/j.medengphy.2009.07.011

Q. Grimal, K. Raum, A. Gerisch, and P. Laugier, A determination of the minimum sizes of representative volume elements for the prediction of cortical bone elastic properties, Biomechanics and Modeling in Mechanobiology, vol.23, issue.2?3, pp.925-937, 2011.
DOI : 10.1007/s10237-010-0284-9

G. Haiat, F. Padilla, R. O. Cleveland, and P. Laugier, Effects of frequency-dependent attenuation and velocity dispersion on in vitro ultrasound velocity measurements in intact human femur specimens, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.53, issue.1, pp.39-51, 2006.
DOI : 10.1109/TUFFC.2006.1588390

S. Kohles, J. Bowers, A. Vailas, and R. Vanderby, Ultrasonic Wave Velocity Measurement in Small Polymeric and Cortical Bone Specimens, Journal of Biomechanical Engineering, vol.119, issue.3, pp.232-236, 1997.
DOI : 10.1115/1.2796085

R. Lakes, H. S. Yoon, and J. L. Katz, Ultrasonic wave propagation and attenuation in wet bone, Journal of Biomedical Engineering, vol.8, issue.2, pp.143-148, 1986.
DOI : 10.1016/0141-5425(86)90049-X

R. S. Lakes, Viscoelastic materials, pp.63-65, 2009.
DOI : 10.1017/CBO9780511626722

S. B. Lang, Elastic Coefficients of Animal Bone, Science, vol.165, issue.3890, pp.287-288, 1969.
DOI : 10.1126/science.165.3890.287

A. V. Lebedev, Method of linear prediction in the ultrasonic spectroscopy of rock, Acoustical Physics, vol.48, issue.3, pp.339-346, 2002.
DOI : 10.1134/1.1478120

E. Lefèvre, P. Lasaygues, C. Baron, C. Payan, F. Launay et al., Analyzing the anisotropic Hooke?s law for children?s cortical bone, Journal of the Mechanical Behavior of Biomedical Materials, vol.49, pp.370-377, 2015.
DOI : 10.1016/j.jmbbm.2015.05.013

J. D. Maynard, The use of piezoelectric film and ultrasound resonance to determine the complete elastic tensor in one measurement, The Journal of the Acoustical Society of America, vol.91, issue.3, pp.1754-1762, 1992.
DOI : 10.1121/1.402455

P. Nicholson, G. Lowet, C. Langton, J. Dequeker, and G. Van-der-perre, A comparison of time-domain and frequency-domain approaches to ultrasonic velocity measurement in trabecular bone, Physics in Medicine and Biology, vol.41, issue.11, pp.41-2421, 1996.
DOI : 10.1088/0031-9155/41/11/013

C. Njeh, R. Hodgskinson, J. Currey, and C. Langton, Orthogonal relationships between ultrasonic velocity and material properties of bovine cancellous bone, Medical Engineering & Physics, vol.18, issue.5, pp.373-381, 1996.
DOI : 10.1016/1350-4533(95)00064-X

A. A. Orías, J. M. Deuerling, M. D. Landrigan, J. E. Renaud, and R. K. Roeder, Anatomic variation in the elastic anisotropy of cortical bone tissue in the human femur, Journal of the Mechanical Behavior of Biomedical Materials, vol.2, issue.3, pp.255-263, 2009.
DOI : 10.1016/j.jmbbm.2008.08.005

D. Phillips, A. North, and R. Pethrick, Ultrasonic studies of polycarbonate, polysulfone, and polyether sulfone, Journal of Applied Polymer Science, vol.21, issue.7, pp.1859-1867, 1977.
DOI : 10.1002/app.1977.070210713

J. Rho, An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone, Ultrasonics, vol.34, issue.8, pp.777-783, 1996.
DOI : 10.1016/S0041-624X(96)00078-9

D. J. Rudy, J. M. Deuerling, A. A. Orías, and R. K. Roeder, Anatomic variation in the elastic inhomogeneity and anisotropy of human femoral cortical bone tissue is consistent across multiple donors, Journal of Biomechanics, vol.44, issue.9, pp.1817-1820, 2011.
DOI : 10.1016/j.jbiomech.2011.04.009

C. Schwartz-dabney and P. Dechow, Accuracy of Elastic Property Measurement in Mandibular Cortical Bone is Improved by Using Cylindrical Specimens, Journal of Biomechanical Engineering, vol.124, issue.6, pp.714-723, 2002.
DOI : 10.1115/1.1517567

X. Tang, Z. Zhu, and M. Toksöz, Radiation patterns of compressional and shear transducers at the surface of an elastic half?space, The Journal of the Acoustical Society of America, vol.95, issue.1, pp.71-76, 1994.
DOI : 10.1121/1.408299

H. Trebacz and H. Gawda, The estimation of structural anisotropy of trabecular and cortical bone tissues based on ultrasonic velocity and attenuation, Acta of Bioengineering and Biomechanics, vol.3, issue.2, pp.41-48, 2001.

B. Van-rietbergen and K. Ito, A survey of micro-finite element analysis for clinical assessment of bone strength: The first decade, Journal of Biomechanics, vol.48, issue.5, pp.832-841, 2015.
DOI : 10.1016/j.jbiomech.2014.12.024