Analysis of Liquid-Core Cylindrical Acoustic Waveguides Embedded in Solid Media
Publication: Journal of Engineering Mechanics
Volume 122, Issue 1
Abstract
The propagation of elastic waves in liquid-core cylindrical acoustic waveguides is studied. The model analyzed represents a liquid-filled tube embedded inside a solid medium. The frequency equations are derived, and expressions for the displacement components and stress components are presented. Phase velocities of wave motions at low-frequency and high-frequency limits and cutoff conditions for all propagation modes are provided. Wave motions of three example waveguides constructed of different materials are calculated. The results show that the material properties of the waveguide and its surrounding medium determine the existence and the asymptotic limits of the guided wave motions. Displacement distributions and geometry effects are also studied, and the results reveal that, by selecting proper material combination for the liquid core and the solid tube, the waveguide can help to transmit signals in materials with high acoustic attenuation. Results also show that there are two propagation branches (the first branch of the longitudinal mode L01 and of the first flexural mode F11 ) with a zero cutoff frequency that can achieve a stable propagation mode along the liquid-solid interface at all frequency ranges, and that will be useful for efficient signal transmission.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Achenbach, J. D. (1973). Wave propagation in elastic solids . North-Holland Publishing Co., New York, N.Y.
2.
Armenakas, A. E.(1967). “Propagation of harmonic waves in composite circular cylindrical shells. I: Theoretical investigation.”AIAA J., 5(4), 740–744.
3.
Armenakas, A. E.(1971). “Propagation of harmonic waves in composite circular cylindrical shells. II: Numerical analysis.”AIAA J., 9(4), 599–605.
4.
Biot, M. A.(1952). “Propagation of elastic waves in a cylindrical bore containing a fluid.”J. Appl. Physics, 32, 997–1005.
5.
Chen, H. L., Cheng, C. T., and Chen, S. E.(1992). “Determination of fracture parameters of mortar and concrete beams by using acoustic emission.”Mat. Evaluation, 50(7), 888–894.
6.
Chen, H. L., and He, Y. (1993). “Study of acoustic waveguides in reinforced concrete structures.” Int. Conf. on Nondestructive Testing of Concrete in the Infrastructure, Soc. for Experimental Mech., Dearborn, Mich.
7.
Halabe, U. B., and Maser, K. R.(1993). “Leak detection from large storage tanks using seismic boundary waves.”J. Geotech. Engrg., ASCE, 119(9), 563–582.
8.
Hsieh, T. M., Lindgren, E. A., and Rosen, M.(1991). “Effect of interfacial properties on Stoneley wave propagation.”Ultrasonics, 29(1), 38–44.
9.
Lai, J. L., Dowell, E. H., and Tauchert, T. R. (1971). “Propagation of harmonic waves in a composite elastic cylinder.”J. Acoustic Soc. of Am., 49(1 part 2), 220–228.
10.
Lardat, C., Menot, J. P., and Tournois, P. (1975). “Delay lines using interface waves in solid-liquid-solid structures.”Sonics and Ultrasonics, SU-22, 16–24.
11.
Ohtsu, M.(1987). “Acoustic emission characteristics in concrete and diagnostic applications.”J. Acoustic Emission, 6(2), 99–108.
12.
Ouyang, C. S., Landis, E., and Shah, S. P.(1991). “Damage assessment in concrete using quantitative acoustic emission.”J. Engrg. Mech., ASCE, 117(11), 2681–2698.
13.
Roever, W. L., Rosenbaum, J. H., and Vining, T. F.(1974). “Acoustic waves from an impulsive source in a fluid-filled borehole.”J. Acoustic Soc. of Am., 55(6), 1144–1157.
14.
Safaai-Jazi, A., Jen, C. K., and Farnell, G.(1985). “Analysis of weakly guiding fiber acoustic waveguide.”IEEE Trans. on Ultrasonics, Ferroelectrics and Frequency Control, 33(1), 59–68.
15.
Safaai-Jazi, A., Jen, C. K., Farnell, G. W., and Cheeke, J. D. N.(1987). “Analysis of liquid-core cylindrical acoustic waveguides.”J. Acoustic Soc. of Am., 81(4), 1273–1278.
16.
Shah, S. P., and Ouyang, C.(1993). “Toughening mechanisms in quasibrittle materials.”J. Engrg. Mat. and Technol., 115(3), 300–307.
17.
Staecker, P. W., and Wang, W. C.(1973). “Propagation of elastic waves bound to a fluid layer between two solids.”J. Acoustic Soc. of Am., 53(1), 65–74.
18.
Thurston, R. N.(1978). “Elastic waves in rods and clad rods.”J. Acoustic Soc. of Am., 81(1), 1–37.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 122 • Issue 1 • January 1996
Pages: 1 - 9
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Jan 1, 1996
Published in print: Jan 1996
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.