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On the Viscous Models for Wave Propagation in Solid Loaded with Viscous Liquid

Published online by Cambridge University Press:  05 May 2011

M.-P. Chang  and
T.T. Wu
M.-P. Chang*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
T.T. Wu*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Graduate student
**Professor, corresponding author
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Abstract

Recently, in the fields of biosensing and nondestructive of materials, there are increasing interests on the investigations of the surface wave propagation in fluid loaded layered medium. Several different models for the elastic coefficients of viscous liquids are usually adopted in the investigations. The purpose of this paper is to study the variations of choosing different viscous liquid models on the dispersion and attenuation of waves in liquid loaded solids. In the paper, a derivation of the elastic coefficients of a viscous liquid based on the Stokes' assumption is given first. Then, for the hypothetical solid assumption of a viscous liquid, the associated wave equations and expressions of the stress components for different viscous liquid models utilized in the literatures are given. Finally, dispersion and attenuation of waves in a viscous liquid loaded A1 half space and a SiC plate immersed in a viscous liquid are calculated and utilized to discuss the differences among these four different models.

Keywords

Viscous liquidSurface waveLamb wave.
Type
Articles
Information
Journal of Mechanics , Volume 15 , Issue 3 , September 1999 , pp. 103 - 108
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1999

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References

REFERENCES

l.Andle, J. C. and Vetelino, J. F., “Acoustic Wave Biosensors,” Sensors and Actuators, A(44), pp. 167–176 (1994).CrossRefGoogle Scholar
2.Kim, J. O., “Love Waves in Layered Medium,” J. Acoust Soc. Am., 91, pp. 3099–3103 (1992).CrossRefGoogle Scholar
3.Kovacs, G., Vellekoop, M. J., Haueis, R., Lubking, G. W. and Venema, A., “A Love Wave Sensor for (Bio)chemical Sensing in Liquids,” Sensors and Actuators, A(43), pp. 38–43 (1994).CrossRefGoogle Scholar
4.Quan, Qi, “Attenuated Leaky Rayleigh Waves,” J. Acoust Soc. Am., 95(6), pp. 3222–3231 (1994).Google Scholar
5.Wu, J. and Zhu, Z., “An Alternative Approach for Solving Attenuated Leaky Rayleigh Waves,” J. Acoust. Soc. Am., 97(5), pp. 3191–3193 (1995).Google Scholar
6Zhu, Z. and Wu, J., “The Propagation of Lamb aves in a Plate Bordered with a Viscous Liquid,” J. oust. Soc. Am., 98, pp. 1057–1064 (1995).Google Scholar
7.Nagy, P. B. and Nayfeh, A. H., “Viscosity-Induced Attenuation of Longitudinal Guided Waves in Fluid-Loaded Rods,” J. Acoust. Soc. Am., 100(3), pp. 1501–1508(1996).Google Scholar
8.Nayfeh, A. H. and Nagy, P. B., “Excess Attenuation of Leaky Lamb Waves due to Viscous Fluid Loading,” J. Acoust. Soc. Am., 101(5), pp. 2649–2658 (1997).CrossRefGoogle Scholar
9.Potter, M. C. and Wiggert, D. C.Mechanics of Fluids, Prentice Hall, Englewood Cliffs, N.J. (1991).Google Scholar
10.Currie, I. G., Fundamental Mechanics of Fluids, McGraw Hill International Editions (1993).Google Scholar
11.Achenbach, J. D., Wave Propagation in Elastic Solids, North-Holland Publishing Company, New York (1976).Google Scholar
12.Ewing, W. M., Jardetzky, W. S. and Press, F., Elastic Waves in Layered Media, McGraw-Hill, New York (1957).CrossRefGoogle Scholar
13.Braga, M. B., “Wave Propagation in Anisotropic Layered Composites,” Ph.D. Dissertation, Stanford University (1990).Google Scholar
14.Wu, T.-T. and Wu, T.-Y. “Surface Waves in Coated Anisotropic Medium Loaded with Viscous Liquid,” ASME, J. Appl Mech. (in revision) (1999).Google Scholar