Guided waves in cortical bone

Bone Quantitative Ultrasound

Volumn , Issue , 2011, Pages 147-179

  Talmant, Maryline ^a   Foiret, Josquin ^a   Minonzio, Jean Gabriel ^a  

^a CNRS   (France)

Author keywords

Arrays; Axial transmission; Bone characterization; Bone strength; Clinical devices; Cylindrical waveguide; Elastic anisotropy; Elastic waveguide; Instrumentation; Lamb waves; Long cortical bone; Material characterization; Multi component signal; Partial waves; Signal processing; Singular value decomposition

Indexed keywords

EID: 81455147654     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-94-007-0017-8_7     Document Type: Chapter

References (98)

1. B. A. Auld, Acoustic fields and waves in solids, 2nd ed. (Krieger, Malabar, FL, 1990), Vol. II.
2. I. A. Viktorov, Rayleigh and Lamb waves (Plenum, New York, NY, 1967).
3. J. D. Achenbach, Wave propagation in elastic solids (Elsevier, New York, NY, 1975).
4. D. Royer and E. Dieulesaint, Elastic waves in solids I: Free and guided propagation (Springer, New York, 2000).
5. F. Lefebvre, Y. Deblock, P. Campistron, D. Ahite, and J. J. Fabre, "Development of a new ultrasonic technique for bone and biomaterials in vitro characterization", Journal of Biomedical Materials Research 63(4), 441-446 (2002).
6. P. Moilanen, P. H. F. Nicholson, V. Kilappa, S. L. Cheng, and J. Timonen, "Assessment of the cortical bone thickness using ultrasonic guided waves: Modelling and in vitro study", Ultrasound in Medicine and Biology 33(2), 254-262 (2007).
7. D. A. Ta, K. Huang, W. Q. Wang, Y. Y. Wang, and L. H. Le, "Identification and analysis of multimode guided waves in tibia cortical bone", Ultrasonics 44, E279-E284 (2006).
8. D. Ta, W. Q. Wang, Y. Y. Wang, L. H. Le, and Y. Q. Zhou, "Measurement of the dispersion and attenuation of cylindrical ultrasonic guided waves in long bone", Ultrasound in Medicine and Biology 35(4), 641-652 (2009).
9. A. M. Tatarinov, V. P. Egorov, and A. P. Sarvazyan, "The dual-frequency method for ultrasonic assessment of skeletal system", Acoustical Physics 55(4-5), 665-673 (2009).
10. D. E. Chimenti, "Guided waves in plates and their use in materials characterization", Applied Mechanics Reviews 50(5), 247-284 (1997).
11. D. N. Alleyne and P. Cawley, "The interaction of Lamb waves with defects", IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control 39(3), 381-397 (1992).
12. P. Cawley and D. Alleyne, "The use of Lamb waves for the long range inspection of large structures", Ultrasonics 34(2-5), 287-290 (1996).
13. S. Dahmen, H. Ketata, M. H. Ben Ghozlen, and B. Hosten, "Elastic constants measurement of anisotropic Olivier wood plates using air-coupled transducers generated Lamb wave and ultrasonic bulk wave", Ultrasonics 50(4-5), 502-507 (2010).
14. J. L. Dean, C. Trillo, A. F. Doval, and J. L. Fernandez, "Determination of thickness and elastic constants of aluminum plates from full-field wavelength measurements of single-mode narrowband Lamb waves", The Journal of the Acoustical Society of America 124(3), 1477-1489 (2008).
15. D. Alleyne and P. Cawley, "A 2-dimensional Fourier-transform method for the measurement of propagating multimode signals", The Journal of the Acoustical Society of America 89(3), 1159-1168 (1991).
16. M. Niethammer, L. J. Jacobs, J. M. Qu, and J. Jarzynski, "Time-frequency representations of Lamb waves", The Journal of the Acoustical Society of America 109(5), 1841-1847 (2001).
17. R. A. Abram, "Coupled-mode formalism for elastic waveguides", Journal of Physics D-Applied Physics 7(10), 1329-1335 (1974).
18. V. B. Galanenko, "On coupled modes theory of two-dimensional wave motion in elastic waveguides with slowly varying parameters in curvilinear orthogonal coordinates", The Journal of the Acoustical Society of America 103(4), 1752-1762 (1998).
19. V. Pagneux and A. Maurel, "Lamb wave propagation in elastic waveguides with variable thickness", Proceedings of the Royal Society a-Mathematical Physical and Engineering Sciences 462(2068), 1315-1339 (2006).
20. D. E. Chimenti and B. A. Auld, "Micro and macrostructural dispersion of guided waves in solids", Wave Motion 21, 101-114 (1995).
21. H. Lamb, "On waves in an elastic plate", Proceedings of the Royal Society of London Series a-Containing Papers of a Mathematical and Physical Character 93(648), 114-128 (1917).
22. E. Bossy, M. Talmant, and P. Laugier, "Effect of bone cortical thickness on velocity measurements using ultrasonic axial transmission: A 2D simulation study", The Journal of the Acoustical Society of America 112(1), 297-307 (2002).
23. R. D. Mindlin, "Waves and vibrations in isotropic elastic plates", in Structural Mechanics, J. N. Goodier and N. J. Hoff, eds. (Pergamon, New York, NY, 1960), pp. 199-232.
24. B. A. Auld and G. S. Kino, "Normal mode theory for acoustic waves and its application to interdigital transducer", IEEE Transactions on Electron Devices ED 18(10), 898-908 (1971).
25. R. L. Weaver and Y. H. Pao, "Spectra of transient waves in elastic plates", The Journal of the Acoustical Society of America 72(6), 1933-1941 (1982).
26. I. Nunez, R. K. Ing, C. Negreira, and M. Fink, "Transfer and Green functions based on modal analysis for Lamb waves generation", The Journal of the Acoustical Society of America 107(5), 2370-2378 (2000).
27. H. Bai, J. Zhu, A. H. Shah, and N. Popplewell, "Three-dimensional steady state Green function for a layered isotropic plate", Journal of Sound and Vibration 269(1-2), 251-271 (2004).
28. L. Moreau and M. Castaings, "The use of an orthogonality relation for reducing the size of finite element models for 3D guided waves scattering problems", Ultrasonics 48(5), 357-366 (2008).
29. D. C. Gazis, "3-Dimensional investigation of the propagation of waves in hollow circular cylinder. 1. Analytical foundation", The Journal of the Acoustical Society of America 31(5), 568-573 (1959).
30. J. L. Rose, Acoustic waves in solid media (Cambridge University Press, Cambridge, UK, 1999).
31. M. G. Silk and K. F. Bainton, "Propagation in metal tubing of ultrasonic wave modes equivalent to Lamb waves", Ultrasonics 17(1), 11-19 (1979).
32. J. Davies and P. Cawley, "The application of synthetic focusing for imaging crack-like defects in pipelines using guided waves", IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control 56(4), 759-771 (2009).
33. J. Li and J. L. Rose, "Excitation and propagation of non-axisymmetric guided waves in a hollow cylinder", Journal of the Acoustical Society of America 109(2), 457-464 (2001).
34. J. J. Ditri and J. L. Rose, "Excitation of guided elastic wave modes in hollow cylinders by applied surface tractions", Journal of Applied Physics 72(7), 2589-2597 (1992).
35. R. B. Martin, D. B. Burr, and N. A. Sharkey, Skeletal tissue mechanics (Springer-Verlag, New York, 1998).
36. R. B. Ashman, S. C. Cowin, W. C. Van Buskirk, and J. C. Rice, "A continuous wave technique for the mesurement of the elastic properties of cortical bone", Journal of Biomechanics 17, 349-361 (1984).
37. V. Ricos, D. R. Pedersen, T. D. Brown, R. B. Ashman, C. T. Rubin, and R. A. Brand, "Effects of anisotropy and material axis registration on computed stress and strain distributions in the turkey ulna", Journal of Biomechanics 29(2), 261-267 (1996)
38. S. C. Cowin and R. T. Hart, "Errors in the orientation of the principal stress axes if bone tissue is modeled as isotropic", Journal of Biomechanics 23(4), 349-352 (1990)
39. E. Bossy, M. Talmant, and P. Laugier, "Three-dimensional simulations of ultrasonic axial transmission velocity measurement on cortical bone models", The Journal of the Acoustical Society of America 115(5), 2314-2324 (2004).
40. Y. Li and R. B. Thompson, "Influence of anisotropy on the dispersion characteristics of guided ultrasonic plate modes", The Journal of the Acoustical Society of America 87(5), 1911-1931 (1990).
41. W. Lin and L. M. Keer, "A study of Lamb waves in anisotropic plates", The Journal of the Acoustical Society of America 92(2), 888-894 (1992).
42. S. P. Pelts and J. L. Rose, "Source influence parameters on elastic guided waves in an orthotropic plate", The Journal of the Acoustical Society of America 99(4), 2124-2129 (1996).
43. L. P. Solie and B. A. Auld, "Elastic waves in free anisotropic plates", The Journal of the Acoustical Society of America 54(1), 50-65 (1973).
44. M. G. Vavva, V. C. Protopappas, L. N. Gergidis, A. Charalambopoulos, D. I. Fotiadis, and D. Polyzos, "Velocity dispersion of guided waves propagating in a free gradient elastic plate: Application to cortical bone", The Journal of the Acoustical Society of America 125(5), 3414-3427 (2009).
45. Z. Q. Su, L. Ye, and Y. Lu, "Guided Lamb waves for identification of damage in composite structures: A review", Journal of Sound and Vibration 295(3-5), 753-780 (2006).
46. M. Castaings and B. Hosten, "Lamb and SH waves generated and detected by air-coupled ultrasonic transducers in composite material plates", Ndt & E International 34(4), 249-258 (2001).
47. Z. Q. Guo, J. D. Achenbach, and S. Krishnaswamy, "EMAT generation and laser detection of single lamb wave modes", Ultrasonics 35(6), 423-429 (1997).
48. J. G. Minonzio, M. Talmant, and P. Laugier, "Guided wave phase velocity measurement using multi-emitter and multi-receiver arrays in the axial transmission configuration", The Journal of the Acoustical Society of America 127 (5) (2010).
49. C. Prada and M. Fink, "Separation of interfering acoustic scattered signals using the invariants of the time-reversal operator. Application to Lamb waves characterization", The Journal of the Acoustical Society of America 104(2), 801-807 (1998).
50. D. Hans, S. K. Srivastav, C. Singal, R. Barkmann, C. F. Njeh, E. Kantorovich, C. C. Gluer, and H. K. Genant, "Does combining the results from multiple bone sites measured by a new quantitative ultrasound device improve discrimination of hip fracture?", Journal of Bone and Mineral Research 14(4), 644-651 (1999).
51. P. Moilanen, P. H. F. Nicholson, T. Karkkainen, Q. Wang, J. Timonen, and S. Cheng, "Assessment of the tibia using ultrasonic guided waves in pubertal girls", Osteoporosis International 14(12), 1020-1027 (2003).
52. M. Maata, P. Moilanen, P. Nicholson, S. L. Cheng, J. Timonen, and T. Jamsa, "Correlation of tibial low-frequency ultrasound velocity with femoral radiographic measurements and Bmd in elderly women", Ultrasound in Medicine and Biology 35(6), 903-911 (2009).
53. E. Bossy, M. Talmant, F. Peyrin, L. Akrout, P. Cloetens, and P. Laugier, "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", Journal of Bone and Mineral Research 19(9), 1548-1556 (2004).
54. W. Sachse and Y. H. Pao, "Determination of phase and group velocities of dispersive waves in solids", Journal of Applied Physics 49(8), 4320-4327 (1978).
55. W. H. Prosser, M. D. Seale, and B. T. Smith, "Time-frequency analysis of the dispersion of Lamb modes", Journal of the Acoustic Society of America 105(5), 2669-2676 (1999).
56. L. De Marchi, A. Marzani, S. Caporale, and N. Speciale, "Ultrasonic guided-waves characterization with warped frequency transforms", IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control 56(10), 2232-2240 (2009).
57. H. Kuttig, M. Niethammer, S. Hurlebaus, and L. J. Jacobs, "Model-based analysis of dispersion curves using chirplets", The Journal of the Acoustical Society of America 119(4), 2122-2130 (2006).
58. V. C. Protopappas, D. I. Fotiadis, and K. N. Malizos, "Guided ultrasound wave propagation in intact and healing long bones", Ultrasound in Medicine and Biology 32(5), 693-708 (2006).
59. V. D. Vrabie, J. I. Mars, and J. L. Lacoume, "Modified singular value decomposition by means of independent component analysis", Signal Processing 84(3), 645-652 (2004).
60. Y. Hua and T. K. Sarkar, "Matrix pencil method for estimating parameters of exponentially damped undamped sinusoids in noise", IEEE Transactions on Acoustics Speech and Signal Processing 38(5), 814-824 (1990).
61. D. W. Tufts and R. Kumaresan, "Estimation of frequencies of multiple sinusoids - Making linear prediction perform like maximum-likelihood", Proceedings of the IEEE 70(9), 975-989 (1982).
62. J. Vollmann, R. Breu, and J. Dual, "High-resolution analysis of the complex wave spectrum in a cylindrical shell containing a viscoelastic medium. 2. Experimental results versus theory", The Journal of the Acoustical Society of America 102(2), 909-920 (1997).
63. P. Moilanen, P. H. F. Nicholson, V. Kilappa, S. Cheng, and J. Timonen, "Measuring guided waves in long bones: Modeling and experiments in free and immersed plates", Ultrasound in Medicine and Biology 32(5), 709-719 (2006).
64. M. Cheney, "The linear sampling method and the MUSIC algorithm", Inverse Problems 17(4), 591-595 (2001).
65. T. T. Wu and Y. H. Liu, "Inverse determinations of thickness and elastic properties of a bonding layer using laser-generated surface waves", Ultrasonics 37(1), 23-30 (1999).
66. W. M. Gao, C. Glorieux, and J. Thoen, "Laser ultrasonic study of Lamb waves: Determination of the thickness and velocities of a thin plate", International Journal of Engineering Science 41(2), 219-228 (2003).
67. D. A. Hutchins, K. Lundgren, and S. B. Palmer, "A laser study of transient Lamb waves in thin materials", The Journal of the Acoustical Society of America 85(4), 1441-1448 (1989).
68. D. Clorennec, C. Prada, and D. Royer, "Local and noncontact measurements of bulk acoustic wave velocities in thin isotropic plates and shells using zero group velocity Lamb modes", Journal of Applied Physics 101 (3) (2007).
69. J. Vishnuvardhan, C. V. Krishnamurthy, and K. Balasubramaniam, "Blind inversion method using Lamb waves for the complete elastic property characterization of anisotropic plates", The Journal of the Acoustical Society of America 125(2), 761-771 (2009).
70. I. A. Veres and M. B. Sayir, "Wave propagation in a wooden bar", Ultrasonics 42(1-9), 495-499 (2004).
71. C. Desceliers, C. Soize, Q. Grimal, M. Talmant, and S. Naili, "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 125(4), 2027-2034 (2009).
72. P. H. F. Nicholson, P. Moilanen, T. Karkkainen, J. Timonen, and S. L. Cheng, "Guided ultrasonic waves in long bones: Modelling, experiment and in vivo application", Physiological Measurement 23(4), 755-768 (2002).
73. E. Camus, M. Talmant, G. Berger, and P. Laugier, "Analysis of the axial transmission technique for the assessment of skeletal status", The Journal of the Acoustical Society of America 108(6), 3058-3065 (2000).
74. P. Nicholson, S. Cheng, and J. Timonen, "Thickness effects on axial ultrasound velocity in bone", Osteoporosis International 12(11), 987-987 (2001).
75. S. Prevrhal, T. Fuerst, B. Fan, C. Njeh, D. Hans, M. Uffmann, S. Srivastav, and H. K. Genant, "Quantitative ultrasound of the tibia depends on both cortical density and thickness", Osteoporosis International 12(1), 28-34 (2001).
76. C. F. Njeh, D. Hans, C. Wu, E. Kantorovich, M. Sister, T. Fuerst, and H. K. Genant, "An in vitro investigation of the dependence on sample thickness of the speed of sound along the specimen", Medical Engineering & Physics 21(9), 651-659 (1999).
77. P. Moilanen, V. Kilappa, P. H. F. Nicholson, J. Timonen, and S. Cheng, "Thickness sensitivity of ultrasound velocity in long bone phantoms", Ultrasound in Medicine & Biology 30(11), 1517-1521 (2004).
78. A. Tatarinov, N. Sarvazyan, and A. Sarvazyan, "Use of multiple acoustic wave modes for assessment of long bones: Model study", Ultrasonics 43(8), 672-680 (2005).
79. K. I. Lee and S. W. Yoon, "Feasibility of bone assessment with leaky Lamb waves, in bone phantoms and a bovine tibia", The Journal of the Acoustical Society of America 115(6), 3210-3217 (2004).
80. M. Sasso, M. Talmant, G. Haiat, S. Naili, and P. Laugier, "Analysis of the Most Energetic Late Arrival in Axially Transmitted Signals in Cortical Bone", IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control 56(11), 2463-2470 (2009).
81. E. Bossy, M. Talmant, M. Defontaine, F. Patat, and P. Laugier, "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).
82. K. Raum, I. Leguerney, F. Chandelier, E. Bossy, M. Talmant, A. Saied, F. Peyrin, and P. Laugier, "Bone microstructure and elastic tissue properties are reflected in QUS axial transmission measurements", Ultrasound in Medicine and Biology 31(9), 1225-1235 (2005).
83. M. Muller, P. Moilanen, E. Bossy, P. Nicholson, V. Kilappa, T. Timonen, M. Talmant, S. Cheng, and P. Laugier, "Comparison of three ultrasonic axial transmission methods for bone assessment", Ultrasound in Medicine and Biology 31(5), 633-642 (2005).
84. H. Sievanen, S. Cheng, S. Ollikainen, and K. Uusi-Rasi, "Ultrasound velocity and cortical bone characteristics in vivo", Osteoporosis International 12(5), 399-405 (2001).
85. S. C. Lee, B. S. Coan, and M. L. Bouxsein, "Tibial ultrasound velocity measured in situ predicts the material properties of tibial cortical bone", Bone 21(1), 119-125 (1997).
86. M. Hudelmaier, V. Kuhn, E. M. Lochmuller, H. Well, M. Priemel, T. M. Link, and F. Eckstein, "Can geometry-based parameters from pQCT and material parameters from quantitative ultrasound (QUS) improve the prediction of radial bone strength over that by bone mass (DXA) ?", Osteoporosis International 15(5), 375-381 (2004).
87. M. Weiss, A. Ben-Shlomo, H. P., and S. Ish-Shalom, "Discrimination of proximal hip fracture by quantitative ultrasound measurement at the radius", Osteoporosis International 11, 411-416 (2000).
88. K. M. Knapp, G. M. Blake, T. D. Spector, and I. Fogelman, "Multisite quantitative ultrasound: Precision, age- and menopause-related changes, fracture discrimination, and T-score equivalence with dual-energy X-ray absorptiometry", Osteoporosis International 12(6), 456-464 (2001).
89. D. Hans, L. Genton, S. Allaoua, C. Pichard, and D. O. Slosman, "Hip fracture discrimination study - QUS of the radius and the calcaneum", Journal of Clinical Densitometry 6(2), 163-172 (2003).
90. M. Talmant, S. Kolta, C. Roux, D. Haguenauer, I. Vedel, B. Cassou, E. Bossy, and P. Laugier, "In Vivo Performance Evaluation of Bi-Directional Ultrasonic Axial Transmission for Cortical Bone Assessment", Ultrasound in Medicine and Biology 35(6), 912-919 (2009).
91. P. Moilanen, M. Talmant, P. H. F. Nicholson, S. L. Cheng, J. Timonen, and P. Laugier, "Ultrasonically determined thickness of long cortical bones: Three-dimensional simulations of in vitro experiments", The Journal of the Acoustical Society of America 122(4), 2439-2445 (2007).
92. M. Hapsara and D. D. Iliescu, "Lamb waves detection in a bovine cortical tibia using scanning laser vibrometry - art. no. 69200N", in Medical Imaging 2008: Ultrasonic Imaging and Signal Processing, S. A. McAleavey and J. Dhooge, eds. (Spie-Int Soc Optical Engineering, Bellingham, WA, 2008), pp. N9200-N9200.
93. P. Moilanen, M. Talmant, V. Bousson, P. H. F. Nicholson, S. Cheng, J. Timonen, and P. Laugier, "Ultrasonically determined thickness of long cortical bones: Two-dimensional simulations of in vitro experiments", The Journal of the Acoustical Society of America 122(3), 1818-1826 (2007).
94. D. Royer, D. Clorennec, and C. Prada, "Lamb mode spectra versus the Poisson ratio in a free isotropic elastic plate", The Journal of the Acoustical Society of America 125(6), 3683-3687 (2009).
95. K. Macocco, Q. Grimal, S. Naili, and C. Soize, "Elastoacoustic model with uncertain mechanical properties for ultrasonic wave velocity prediction: Application to cortical bone evaluation", The Journal of the Acoustical Society of America 119(2), 729-740 (2006).
96. R. Barkmann, S. Lusse, B. Stampa, S. Sakata, M. Heller, and C. C. Gluer, "Assessment of the geometry of human finger phalanges using quantitative ultrasound in vivo", Osteoporosis International 11(9), 745-755 (2000).
97. V. Le Floch, G. M. Luo, J. J. Kaufman, and R. S. Siffert, "Ultrasonic Assessment of the Radius in Vitro", Ultrasound in Medicine and Biology 34(12), 1972-1979 (2008).
98. J. Grondin, Q. Grimal, K. Engelke, and P. Laugier, "Potential of First Arriving Signal to Assess Cortical Bone Geometry at the Hip with QUS: A Model Based Study", Ultrasound in Medicine & Biology 36(4), 656-666 (2010).