Determination of elastic coefficients of bone and composite materials by acoustic immersion technique

Technology and Health Care

Volumn 14, Issue 4-5, 2006, Pages 219-232

  Goldmann, Tomáš ^a   Seiner, Hanuš ^a,b   Landa, Michal ^b  

^a CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

^b INSTITUTE OF THERMOMECHANICS   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE; BONE; ELASTICITY; MATHEMATICAL MODEL; MONTE CARLO METHOD; PRIORITY JOURNAL; ULTRASOUND; VELOCITY;

BOS TAURUS;

EID: 33750261675     PISSN: 09287329     EISSN: None     Source Type: Journal    
DOI: 10.3233/thc-2006-144-505     Document Type: Article

References (32)

1. B. Audion, Non-destructive evaluation of composite materials with ultrasonic waves generated and detected by lasers, Ultrasonics 40 (2002), 736-740.
2. B.A. Auld, Acoustic Fields and Waves in Solids, (Vol. 1), John Wiley and Sons, New York, 1973.
3. K. Balasubramaniam and S.C. Whitney, Ultrasonic through-transmission characterization of thick fibre-reinforced composites, NDT&E International 29 (1996), 225-236.
4. M. Brdička, Mechanika Kontinua, Nakladatelství Československé akademie věd, Prague, 1959.
5. B. Castagnède, J.T. Jenkins and W. Sachse, Optimal determination of the elastic constants of composite materials from ultrasonic wave-speed measurements, J. Appl. Phys. 69 (1990), 2753-2761.
6. B. Castagnède, K.Y. Kim, W. Sachse and M.O. Thomson, Determining of the elastic constants of anisotropic materials using laser-generated ultrasonic signals, J. Appl. Phys. 70 (1991), 150-157.
7. A. Castaings, B. Hosten and T. Kundu, Inversion of ultrasonic, plane-wave transmission data in composite plated to infer viscoelastic material properties, NDT&E 33 (2000), 377-392.
8. D.S. Chandrasekharaiah and L. Debnath, Continuum Mechanics, Academic Press, Boston, 1994.
9. Y.C. Chu and S.I. Rokhlin, Measurements of elastic constants of very thin anisotropic plates, J. Acoust. Soc. Am. 91 (1992), 313-318.
10. A.D. Degtyar and S.I. Rokhlin, Comparison of elastic constant determination in anisotropic materials from ultrasonic group and phase velocity data, J. Acoust. Soc. Am. 102 (1997), 3458-3466.
11. M.D. Enderby, A.R. Clarke, M. Patel, P. Ogden and A.A. Johnson, An automated ultrasonic immersion technique for the determination of three-dimensional elastic constants of polymer composites, Ultrasonics 36 (1998), 245-249.
12. A.G. Every and W. Sachse, Determination of the elastic constants of anisotropic solids from acoustic-wave group-velocity measurements, Physical Review B42 (1990), 8196-8205.
13. A.G. Every and W. Sachse, Sensitivity of inversion algorithms for recovering elastic constants of anisotropic solids from longitudinal wavespeed data, Ultrasonics 30 (1992), 43-48.
14. J.H. Gieske and R.E. Allred, Elastic Constants of B-A1 Composites by Ultrasonic Velocity Measurements, Experimental Mechanics (1974), 158-165.
15. R.F.S. Hearmon, Úvod do teorie pružnosti anizotropních látek, SNTL, Prague, 1965.
16. K.Y. Kim, R. Sribar and W. Sachse, Analytical and optimization procedures for determination of all elastic constants of anisotropic solids from group velocity data measured in symmetry planes, J. Appl. Phys. 77 (1995), 5589-5600.
17. J. Kožešník, Kmitání mechanických soustav, Academia, Prague, 1979.
18. R. Lakes, H.S. Yoon and J.L. Katz, Ultrasonic wave propagation and attenuation in wet bone, J. Biomed. Eng. 8 (1986). 143-148.
19. P. Lasayques and M. Pithioux, Ultrasonic characterization of orthotropic elastic bovine bones, Ultrasonics 39 (2002), 567-573.
20. T. Lee, R.S. Lakes and A. Lal, Investigation of bovine bone by resonant ultrasound spectroscopy and transmission ultrasound, Biomechanics and Modeling in Mechanobiology 1 (2002), 165-175.
21. ij values on the calculation convergence and influence of the LFI transducer parameters on determination of the SAW velocity, NDT&E 35 (2002), 279-286.
22. MATLAB function reference, Version 5. The Math Works, Inc., 1999.
23. M. Pithioux, P. Lasayques and P. Chabrand, An alternative ultrasonic method for measuring the elastic properties of cortical bone, Journal of Biomechanics 35 (2002), 961-968.
24. S.I. Rokhlin and W. Wang, Measurements of elastic constants of very thin anisotropic plates, J. Acoust. Soc. Am. 91 (1992), 3303-3312.
25. J.Y. Rho, An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone, Ultrasonics 34 (1996), 777-783.
26. D. Royer and E. Dieulesaint, Elastic Waves in Solids I: Free and Guided Propagation, Springer-Verlag, Berlin, 1996.
27. W. Sachse, K.Y. Kim and N.N. Hsu, Characterizing homogenous, anisotropic elastic media, in: Identification of Media and Structures by Inversion of Mechanical Wave Propagation, CISM Proc., A. Wirgin, ed., Udine, 1998, p. 26.
28. H. Seiner and M. Landa, Sensitivity analysis of an inverse procedure for determination of elastic coefficients for strong anisotropy, Ultrasonics 43 (2005), 253-263.
29. H. Seiner, Acoustic wave propagation in anisotropic elastic media and inverse problems in quantitative nondestructive evaluation of composites, Dissertation, CTU in Prague, 2004.
30. H. Seiner and M. Landa, Evaluation of all elastic muduli of anisotropic solids from ultrasonic wave inversion, Acta Technica CSAV 48 (2003), 1-18.
31. H. Yoon and J. Katz, Ultrasonic wave propagation in human cortical bone. II Measurements of elastic properties and microhardness, Journal of Biomechanics 9 (1976), 459-464.
32. T.T. Wu and Z.H. Ho, Anisotropic Wave propagation and its applications to NDE of composite materials, Experimental Mechanics 30 (1990), 313-318.