Torsional Waves in Self-Reinforced Medium
Publication: International Journal of Geomechanics
Volume 9, Issue 1
Abstract
The present paper discusses the frequency equation for torsional waves in a self-reinforced medium. It can be seen that the phase velocity of torsional waves in a self-reinforced rod of circular cross section is influenced by the reinforced parameters. Numerical computation shows that the presence of the reinforcement parameter increases the phase velocity significantly. It has been observed that the velocity of torsional waves coincides with the shear wave velocity when the reinforcement parameters are zero.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The writers are grateful to the reviewers for their constructive suggestions for the improvement of the paper. The writers also thank the Department of Science and Technology, New Delhi, India for financial support to A. Chattopadhyay and S. Gupta (Project No. SR/S4/MS: 436/07; Project title: “Wave propagation in anisotropic media”).
References
Achenbach, J. D. (1976). Wave propagation in elastic solid, North Holland, New York.
Belfield, A. J., Rogers, T. G., and Spencer, A. J. M. (1983). “Stress in elastic plates reinforced by fibres lying in concentric circles.” J. Mech. Phys. Solids, 31(1), 25–34.
Chattopadhyay, A., and Choudhury, S. (1990). “Propagation, reflection and transmission of magnetoelstic shear waves in self-reinforced medium.” Int. J. Eng. Sci., 28(6), 485–495.
Chattopadhyay, A., and Choudhury, S. (1995). “Magnetoelastic shear waves in a self-reinforced medium.” Int. J. Numer. Analyt. Meth. Geomech., 19, 289–304.
Clark, S. K. (1956). “Torsional wave propagation in a hollow cylindrical bars.” J. Acoust. Soc. Am., 28(6), 1163–1165.
Dey, S., Gupta, A. K., and Gupta, S. (1996). “Propagation of torsional surface waves in a homogeneous substratum over a heterogeneous half space.” Int. J. Numer. Analyt. Meth. Geomech., 20, 287–294.
Georgiadis, H. G., Vardoulakis, I., and Lykotrafitis, G. (2000). “Torsional surface waves in a gradient-elastic half-space.” Wave Motion, 31(4), 333–348.
Jones, R. P. (1959). “The generation of torsional stress waves in a circular cylinder.” Q. J. Mech. Appl. Math., 12(3), 325–336.
Markham, M. F. (1970). “Measurement of elastic constants of the fibre composites by ultrasonic.” Composites, 1, 145–149.
Penney, W. G., et al. (1950). “A discussion on detonation.” Proc. R. Soc. London, Ser. A, 204(17), 1–33.
Rayleigh, Lord. (1945). Theory of sound, Dover, New York.
Spencer, A. J. M. (1974). “Boundary layers in highly anisotropic plane elasticity.” Int. J. Solids Struct., 10, 1103–1123.
Vardoulakis, I. (1984). “Torsional surface waves in inhomogeneous elastic media.” Int. J. Numer. Analyt. Meth. Geomech., 8, 287–296.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 9 • Issue 1 • January 2009
Pages: 9 - 13
Copyright
© 2009 ASCE.
History
Received: Jul 25, 2007
Accepted: Jul 2, 2008
Published online: Jan 1, 2009
Published in print: Jan 2009
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.