Elastoacoustic model with uncertain mechanical properties for ultrasonic wave velocity prediction: application to cortical bone evaluation

The Journal of the Acoustical Society of America
Karina MacoccoChristian Soize

Abstract

The axial transmission technique can measure the longitudinal wave velocity of an immersed solid. An elementary model of the technique is developed with a set of source and receivers placed in a semi-infinite fluid coupled at a plane interface with a semi-infinite solid. The acoustic fluid is homogeneous. The solid is homogeneous, isotropic, and linearly elastic. The work is focused on the prediction of the measured velocity (apparent velocity) when the solid is considered to have random material properties. The probability density functions of the random variables modeling each mechanical parameter of the solid are derived following the maximum entropy principle. Specific attention is paid to the modeling of Poisson's ratio so that the second-order moments of the velocities remain finite. The stochastic solver is based on a Monte Carlo numerical simulation and uses an exact semianalytic expression of the acoustic response derived with the Cagniard-de Hoop method. Results are presented for a solid with the material properties of cortical bone. The estimated mean values and confidence regions of the apparent velocity are presented for various dispersion levels of the random parameters. A sensibility analysis with respect to the ...Continue Reading

References

Jun 2, 2001·The Journal of the Acoustical Society of America·C Soize
Jul 27, 2002·The Journal of the Acoustical Society of America·Emmanuel BossyPascal Laugier
Mar 5, 2004·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Emmanuel BossyPascal Laugier
Jun 24, 2004·Journal of Biomechanics·X Neil Dong, X Edward Guo
Feb 18, 2005·Physics in Medicine and Biology·Sylvie MonfraixAnssi R A Sovijärvi

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Citations

Feb 1, 2012·Computer Methods in Biomechanics and Biomedical Engineering·Vu-Hieu Nguyen, Salah Naili
Jun 11, 2009·The Journal of the Acoustical Society of America·Guillaume HaïatChristian Soize
Jun 14, 2014·The Journal of the Acoustical Society of America·Maria G VavvaDimitrios I Fotiadis
Apr 10, 2009·The Journal of the Acoustical Society of America·Christophe DesceliersSalah Naili
Mar 25, 2010·The Journal of the Acoustical Society of America·Cécile Baron, Salah Naili
Apr 8, 2010·The Journal of the Acoustical Society of America·Salah NailiGuillaume Haïat
Sep 1, 2011·The Journal of the Acoustical Society of America·Alexios PapacharalampopoulosDemosthenes Polyzos
Aug 24, 2013·Ultrasound in Medicine & Biology·Vincent MathieuGuillaume Haïat
Feb 15, 2013·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Josquin FoiretPascal Laugier
Aug 4, 2015·Computer Methods in Biomechanics and Biomedical Engineering·A AbdoulatufS Naili
Jul 5, 2008·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Petro Moilanen
Apr 24, 2016·The Journal of the Acoustical Society of America·Hisham Assi, Richard S C Cobbold
Apr 2, 2011·Journal of Biomechanics·Quentin GrimalPascal Laugier
Feb 24, 2015·The Journal of the Acoustical Society of America·Salah NailiChristian Soize

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