Abstract
Ultrasonic guided-wave technologies are powerful nondestructive testing techniques to characterize bone material. This work aims to evaluate the effect due to spatial heterogeneity of bone material properties on its ultrasound response using axial transmission technique. A probabilistic model is introduced to describe the mechanical behavior of bone material. The numerical results focused on studying of FAS (First Arriving Velocity) showing that this quantity strongly depends on the dispersion induced by statistical fluctuations of stochastic elasticity field.
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Barkmann, R., Kantorovich, E., Singal, C., Hans, D., Genant, H.K., Heller, M., Gluer, C.C.: A new method for quantitative ultrasound measurements at multiple skeletal sites. J. Clin. Densitometry 3, 1–7 (2000)
Bossy, E., Talmant, M., Defontaine, M., Patat, F., Laugier, P.: Bidirectional axial transmission can improve accuracy and precision of ultrasonic velocity measurement in cortical bone: a validation on test materials. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control 51(1), 71–79 (2004)
Desceliers, C., Soize, C., Grimal, M., Talmant, Q., Naili, S.: Determination of the random anisotropic elasticity layer using transient wave propagation in a fluidsolid multilayer: model and experiments. J. Acoust. Soc. Am. 125(4), 2027–2034 (2008a)
Desceliers, C., Soize, C., Grimal, Q., Haat, G., Naili, S.: Three dimensional transient elastic waves in multilayer semi-infinite media solved by a time-space-spectral numerical method. Wave Motion 45(4), 383–399 (2008b)
Desceliers, C., Soize, C., Naili, S., Haiat, G.: Probabilistic model of the human cortical bone with mechanical alterations in ultrasonic range. Mechanical Systems and Signal Processing 32, 170–177 (2012)
Dong, X.N., Guo, X.E.: The dependence of transversely isotropic elasticity of human femoral cortical bone on porosity. J. Biomech. 37(8), 1281–1287 (2004)
Haiat, G., Naili, S., Grimal, Q., Talmant, M., Desceliers, C., Soize, C.: Influence of a gradient of material properties on ultrasonic wave propagation in cortical bone: Application to axial transmission. J. Acoust. Soc. Am. 125(6), 4043–4052 (2009)
Hans, D., Srivastav, S.K., Singal, C., Barkmann, R., Njeh, C.F., Kantorovich, E., Gluer, C.C., Genant, H.K.: Does combining the results from multiple bone sites measured by a new quantitative ultrasound device improve discrimination of hip fracture? J. Bone Miner. Res. 14(4), 644–651 (1999)
Levander, A.R.: Fourth-order finite-difference P-SV seismograms. Geophysics 53(11), 1425–1436 (1988)
Lowet, G., Van der Perre, G.: Ultrasound velocity measurements in long bones: measurement method and simulation of ultrasound wave propagation. Journal of Biomechanics 29, 1255–1262 (1996)
Macocco, K., Grimal, Q., Naili, S., Soize, C.: Elastoacoustic model with uncertain mechanical properties for ultrasonic wave velocity prediction; application to cortical bone evaluation. Journal of the Acoustical Society of America 119(2), 729–740 (2006)
Naili, S., Vu, M.-B., Grimal, Q., Talmant, M., Desceliers, C., Soize, C., Haiat, G.: Influence of viscoelastic and viscous absorption on ultrasonic wave propagation in cortical bone: Application to axial transmission. J. AcousT. Soc. Am. 127(4), 2622–2634 (2010)
Nguyen, V.-H., Naili, S.: Ultrasonic wave propagation in viscoelastic cortical bone plate coupled with fluids: a spectral finite element study. Computer Methods in Biomechanics and Biomedical Engineering (2012)
Reilly, D.T., Burnstein, A.H.: The mechanical properties of cortical bone. J. Bone Joint Surg. Am. 56, 1001–1022 (1974)
Rho, J.Y.: An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone. Ultrasonics 34(8), 777–783 (1996)
Soize, C.: Random matrix theory for modeling uncertainties in computational mechanics. Computer Methods in Applied Mechanics and Engineering 194, 1333–1366 (2005)
Soize, C.: Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators. Computer Methods in Applied Mechanics and Engineering 195, 26–64 (2006)
Stegman, M.R., Heaney, R.P., Travers-Gustafson, D., Leist, J.: Cortical ultrasound velocity as an indicator of bone status. Osteoporos. Int. 5(5), 349–533 (1995)
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Naili, S., Nguyen, VH., Vu, MB., Desceliers, C., Soize, C. (2014). Ultrasound Wave Propagation in a Stochastic Cortical Bone Plate. In: Huynh, V., Denoeux, T., Tran, D., Le, A., Pham, S. (eds) Knowledge and Systems Engineering. Advances in Intelligent Systems and Computing, vol 245. Springer, Cham. https://doi.org/10.1007/978-3-319-02821-7_38
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DOI: https://doi.org/10.1007/978-3-319-02821-7_38
Publisher Name: Springer, Cham
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