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

다국어 초록 (Multilingual 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.

목차 (Table of Contents)

• Abstract
• 1. Introduction
• 2. Ultrasonic Experiment
• 3. Theory
• 4. Results and Discussion
• 5. Summary
• References

참고문헌 (Reference)

1 Werby, M. F., "Transition from Soft to Rigid Behavior in Scattering from Submerged Thin Elastic Shells" 9 : 89-93, 1986

2 Li, T.-B., "Sound Scattering of a Plane Wave Obliquely Incident on a Cylinder" 86 : 2363-2368, 1989

3 Niklasson, A. J., "Scattering by an Infinite Transversely Isotropic Cylinder in a Transversely Isotropic Medium" 27 : 169-185, 1998

4 Maze, G., "Resonances of Plates and Cylinders: Guided waves" 77 : 1352-1357, 1985

5 Überall, H., "Repulsion of Phase-Velocity Dispersion Curves and the Nature of Plate Vibrations" 94 : 908-917, 1994

6 Conoir, J. M., "Relation between Surface Helical Waves and Elastic Cylinder" 93 : 1300-1307, 1993

7 Honarvar, F., "Nondestructive Evaluation of Cylindrical Components by Resonance Acoustic Spectroscopy" 36 : 845-854, 1998

8 Morse, P. M., "Methods of Theoretical Physics" McGraw-Hill 1953

9 Veksler, D. N., "Intermediate Background in Problems of Sound Waves Scattering by Elastic Shells" 76 : 1-9, 1992

10 Choi, M. S., "Inherent Background Coefficients for Submerged Cylindrical Shells" 101 : 1743-1745, 1997

11 Joo, Y.-S., "Inherent Background Coefficients for Acoustic Resonance Scattering from Submerged, Multilayered, Cylindrical Structures" 103 : 900-910, 1998

12 Gaunaurd, G. C., "Hybrid Background Coefficients to Isolate the Resonance Spectrum of Submerged Shells" 92 : 1981-1984, 1992

13 De Billy, M., "Determination of the Resonance Spectrum of Elastic Bodies via the Use of Short Pulses and Fourier Transform Theory" 79 : 219-221, 1986

14 Kim, J.-Y., "Determination of Elastic Constants of Generally Anisotropic Inclined Lamellar Structure Using Line-Focus Acoustic Microscopy" 126 : 2998-3007, 2009

15 Mileiko, S. T., "Boron/Aluminium Shells Under Hydrostatic Pressure" 55 : 25-32, 1995

16 Honarvar, F., "Acoustic Wave Scattering from Transversely Isotropic Cylinders" 100 : 57-63, 1996

17 Gaunaurd, G. C., "Acoustic Resonance Scattering by Submerged Elastic Shell" 43 : 171-208, 1990

18 Auld, B. A., "Acoustic Fields and Waves in Solids" John Wiley & Sons 1973

19 Ripoche, J., "A New Acoustic Spectroscopy: Resonance Spectroscopy by the MIIR" 2 : 69-79, 1985