Determination of the random anisotropic elasticity layer using transient wave propagation in a fluid-solid multilayer: Model and experiments

Journal of the Acoustical Society of America

Volumn 125, Issue 4, 2009, Pages 2027-2034

  Desceliers, Christophe ^a   Soize, Christian ^a   Grimal, Quentin ^b   Talmant, Maryline ^b   Naili, Salah ^c  

^a Centre National de la Recherche Scientifique   (France)

^b SORBONNE UNIVERSITÉ   (France)

^c UNIVERSITÉ PARIS EST CRÉTEIL   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC SOURCES; ANISOTROPIC ELASTICITIES; AXIAL TRANSMISSIONS; CORTICAL BONES; DISPERSION PARAMETERS; ELASTIC PARAMETERS; ELASTICITY MODELS; ELASTICITY TENSORS; FLUID LAYERS; HUMAN BONES; IN-VIVO; MASS DENSITIES; MEAN VALUES; MULTI LAYERS; NUMERICAL SOLVERS; PROBABILISTIC MODELS; RANDOM TENSORS; SIMPLIFIED MODELS; SOLID LAYERS; STATISTICAL FLUCTUATIONS; TRANSIENT WAVE PROPAGATION; ULTRASONIC CHARACTERIZATIONS;

ACOUSTICS; ANISOTROPY; BONE; TENSORS; ULTRASONIC APPLICATIONS; WAVE PROPAGATION;

ELASTICITY;

ANISOTROPY; ARTICLE; CONTROLLED STUDY; CORTICAL BONE; ELASTICITY; HUMAN; MAJOR CLINICAL STUDY; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; PROBABILITY; STOCHASTIC MODEL; VELOCITY;

ALGORITHMS; ANISOTROPY; BONE AND BONES; ELASTICITY; HUMANS; MODELS, STATISTICAL; MODELS, THEORETICAL; STOCHASTIC PROCESSES; ULTRASONICS;

EID: 64649091987     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3087428     Document Type: Article

References (16)

1. Bossy, E., Talmant, M., Defontaine, M., Patat, F., and Laugier, P. (2004a). " Bidirectional axial transmission can improve accuracy and precision of ultrasonic velocity measurement in cortical bone: A validation on test materials.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control ITUCER 0885-3010 10.1109/TUFFC.2004.1268469 51, 71-79.
2. Bossy, E., Talmant, M., and Laugier, P. (2002). " Effect of bone cortical thickness on velocity measurements using ultrasonic axial transmission: A 2D simulation study.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.1480836 112, 297-307.
3. Bossy, E., Talmant, M., and Laugier, P. (2004b). " Three-dimensional simulations of ultrasonic axial transmission velocity measurement on cortical bone models.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.1689960 115, 2314-2324.
4. Bossy, E., Talmant, M., Peyrin, F., Akrout, L., Cloetens, P., and Laugier, P. (2004c). " An in vitro study of the ultrasonic axial transmission technique at the radius: 1-MHz velocity measurements are sensitive to both mineralization and intracortical porosity.," J. Bone Miner. Res. JBMREJ 0884-0431 10.1359/JBMR.040513 19, 1548-1556.
5. Camus, E., Talmant, M., Berger, G., and Laugier, P. (2000). " Analysis of the axial transmission technique for the assessment of skeletal status.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.1290245 108, 3058-3065.
6. Desceliers, C., Soize, C., Grimal, Q., Haiat, G., and Naili, S. (2008). " A time-domain method to solve transient elastic wave propagation in a multilayer medium with a hybrid spectral-finite element space approximation.," Wave Motion 45 (4), 383-399. 0165-2125
7. Grimal, Q., and Naili, S. (2006). " A theoretical analysis in the time-domain of wave reflection on a bone plate.," J. Sound Vib. 298, 12-29. 0022-460X
8. Grimal, Q., Raum, K., Desceliers, C., Soize, C., Haiat, G., Naili, S., Talmant, M., and Laugier, P. (2007). " Stochastic simulation of the axial transmission technique based on a multi-scale model of bone material properties.," in Second European Symposium on Ultrasonic Characterization of Bone, Halle, Germany (Shaker, Aachen, Germany).
9. Macocco, K., Grimal, Q., Naili, S., and Soize, C. (2006). " Elastoacoustic model with uncertain mechanical properties for ultrasonic wave velocity prediction: Application to cortical bone evaluation.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.2146110 119, 729-740.
10. Nelder, J. A., and Mead, R. (1965). " A simplex-method for function minimization.," Comput. J. 7, 308-313. 0010-4620
11. Raum, K., Leguerney, I., Chandelier, F., Bossy, E., Talmant, M., Saied, A., Peyrin, F., and Laugier, P. (2005). " Bone microstructure and elastic tissue properties are reflected in QUS axial transmission measurements.," Ultrasound Med. Biol. USMBA3 0301-5629 10.1016/j.ultrasmedbio.2005.05.002 31, 1225-1235.
12. Royer, D., and Dieulesaint, E., Elastic Waves in Solids: Free and Guided Propagation (Springer, Berlin, 1999), Vol. 1.
13. Shannon, C. E. (1948). " A mathematical theory of communications.," Bell Syst. Tech. J. 27, 379-423. 0005-8580
14. Shannon, C. E. (1997). " A mathematical theory of communications (reprinted).," MD Comput. 14, 306-317. 0724-6811
15. Soize, C. (2001). " Maximum entropy approach for modeling random uncertainties in transient elastodynamics.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.1360716 109, 1979-1996.
16. Soize, C. (2005). " Random matrix theory for modeling uncertainties in computational mechanics.," Comput. Methods Appl. Mech. Eng. CMMECC 0045-7825 10.1016/j.cma.2004.06.038 194, 1333-1366.