Abstract
Acoustic surface waves propagating around the periphery of a piezoelectric cylinder of hexagonal symmetry are investigated. A co-axial structure with a piezoelectric insulator as the inner cylinder and electric conductor as the outer cylinder is considered. The dispersion equation is derived and solved under certain approximations assuming the elastic stiffness to be time dependent as in Voigt's model of viscoelasticity. The final expressions for the mechanical displacement component and electric potential are obtained. Ultimately some important parameters of such waves as group velocity, Poynting vector and power flow components have also been determined.
Similar content being viewed by others
References
Viktorov I. A.: Rayleigh and Lamb waves. Plenum Press, New York, 1967.
Brekhovskikh L. M.: Sov. Phys. Acoust.13 (1968) 462.
Keller J. B., Karal F. C.: J. Acoust. Soc. Am.36 (1964) 32.
Rulf B.: J. Acoust. Soc. Am.45 (1969) 493.
Moon F. C.: J. Acoust. Soc. Am.48 (1970) 253.
Chen C. L.: J. Appl. Phys.44 (1973) 3841.
Sun C. F., Chen N. C.: J. Appl. Phys.45 (1974) 4288.
Auld B. A.: Acoustic fields and waves in solids. Vol. 1. Wiley-Inter Science Publication, New York, 1973.
Abramowitz M., Stegun I. A.: Handbook of Mathematical Function. Dover, New York, 1965
Author information
Authors and Affiliations
Additional information
I am grateful to Dr. A. K. Pal for his helpful suggestions in the preparation of the paper.
Rights and permissions
About this article
Cite this article
Ganguly, M. Surface waves propagating around the periphery of a piezoelectric cylinder of hexagonal symmetry with time dependent elastic stiffness. Czech J Phys 35, 963–976 (1985). https://doi.org/10.1007/BF01676359
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01676359