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Evaluation of Elastic Properties of Anisotropic Cylindrical Tubes Using an Ultrasonic Resonance Scattering Spectroscopy  

Kim, Jin-Yeon (Woodruff School of Mechanical Engineering, Georgia Institute of Technology)
Li, Zheng (Department of Mechanics and Aerospace Engineering, Peking University)
Publication Information
Journal of the Korean Society for Nondestructive Testing / v.30, no.6, 2010 , pp. 548-557 More about this Journal
Abstract
An ultrasonic resonance scattering spectroscopy technique is developed and applied for reconstructing elastic constants of a transversely isotropic cylindrical component. Immersion ultrasonic measurements are performed on tube samples made from a boron/aluminum composite material to obtain resonance frequencies and dispersion curves of different guided wave modes propagating in the tube. Theoretical analysis on the acoustic resonance scattering from a transversely isotropic cylindrical tube is also performed, from which complete backscattering and resonance scattering spectra and theoretical dispersion curves are calculated. A sensitive change of the dispersion curves to the elastic properties of the composite tube is observed for both normal and oblique incidences; this is exploited for a systematic evaluation of damage and elastic constants of the composite tube samples. The elastic constants of two boron/aluminum composite tube samples manufactured under different conditions are reconstructed through an optimization procedure in which the residual between the experimental and theoretical phase velocities (dispersion curves) is minimized.
Keywords
Ultrasonic Spectroscopy; Elastic Constants Reconstruction; Composite Materials; Resonance Acoustic Scattering; Inverse Problem;
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1 Niklasson, A. J. and Datta, S. K. (1998) Scattering by an Infinite Transversely Isotropic Cylinder in a Transversely Isotropic Medium, Wave Motion 27, pp. 169-185   DOI   ScienceOn
2 Kim, J.-Y. and Rokhlin, S.I. (2009) Determination of Elastic Constants of Generally Anisotropic Inclined Lamellar Structure Using Line-Focus Acoustic Microscopy, J. Acoust. Soc. Am. 126, pp. 2998-3007   DOI   ScienceOn
3 Uberall, H., Hosten, B., Deschamps, M. and Gerard, A. (1994) Repulsion of Phase-Velocity Dispersion Curves and the Nature of Plate Vibrations, J. Acoust. Soc. Am. 94, pp. 908-917
4 Veksler, D. N. (1992) Intermediate Background in Problems of Sound Waves Scattering by Elastic Shells, Acustica 76, pp. 1-9
5 Mileiko, S. T. and Khvostunkov, A. A. (1995) Boron/Aluminium Shells Under Hydrostatic Pressure, Composites Science and Technology, 55, pp. 25-32   DOI   ScienceOn
6 Werby, M. F. and Gaunaurd, G. C. (1986) Transition from Soft to Rigid Behavior in Scattering from Submerged Thin Elastic Shells, Acoust. Lett. 9, pp. 89-93
7 Honarvar, F. and Sinclair, A. N. (1998) Nondestructive Evaluation of Cylindrical Components by Resonance Acoustic Spectroscopy, Ultrasonics 36, pp. 845-854   DOI   ScienceOn
8 Joo, Y.-S., Ih, J.-G. and Choi, M.-S. (1998) Inherent Background Coefficients for Acoustic Resonance Scattering from Submerged, Multilayered, Cylindrical Structures, J. Acoust. Soc. Am. 103, pp. 900-910   DOI   ScienceOn
9 Li, T.-B. and Ueda, M. (1989) Sound Scattering of a Plane Wave Obliquely Incident on a Cylinder, J. Acoust. Soc. Am. 86, pp. 2363-2368   DOI
10 Maze, G., Izbicki, J. L. and Ripoche, J. (1985) Resonances of Plates and Cylinders: Guided waves, J. Acoust. Soc. Am. 77, pp. 1352-1357   DOI
11 Morse, P. M. and Feshbach, H. (1953) Methods of Theoretical Physics, McGraw-Hill, New York
12 Ripoche, J., Maze, G. and Izbicki, J.-L. (1985) A New Acoustic Spectroscopy: Resonance Spectroscopy by the MIIR, J. of Nondestruct. Eval. 2, pp. 69-79
13 Gaunaurd, G. C. and Werby, M. F. (1990) Acoustic Resonance Scattering by Submerged Elastic Shell, Appl. Mech. Rev. 43, pp. 171-208   DOI
14 Choi, M. S., Joo, Y.-S. and Lee, J.-P. (1997) Inherent Background Coefficients for Submerged Cylindrical Shells, J. Acoust. Soc. Am. 101, pp. 1743-1745   DOI   ScienceOn
15 Conoir, J. M., Rambert, P., Lenoir, O. and Izbicki, J. L. (1993) Relation between Surface Helical Waves and Elastic Cylinder, J. Acoust. Soc. Am. 93, pp. 1300-1307   DOI
16 De Billy, M. (1986) Determination of the Resonance Spectrum of Elastic Bodies via the Use of Short Pulses and Fourier Transform Theory, J. Acoust. Soc. Am. 79, pp. 219-221   DOI
17 Gaunaurd, G. C. (1992) Hybrid Background Coefficients to Isolate the Resonance Spectrum of Submerged Shells, J. Acoust. Soc. Am. 92, pp. 1981-1984   DOI
18 Honarvar, F. and Sinclair, A. N. (1996) Acoustic Wave Scattering from Transversely Isotropic Cylinders, J. Acoust. Soc. Am. 100, pp. 57-63   DOI   ScienceOn
19 Auld, B. A. (1973) Acoustic Fields and Waves in Solids, John Wiley & Sons, New York