Abstract
In the article the analysis of a monochromatic elastic surface wave in an unlimited plate of limited thickness whose opposite surfaces are planar and mutually parallel, made of an elastic isotropic material of a constant density is described. Equations are calculated for the wave number calculation — speed of surface wave propagation, and an equation for the calculation of the vector components deformation (component trajectory) of the elastic medium.
Similar content being viewed by others
References
Lord Rayleigh: Proc. Lond. Math. Soc.17 (1885) 4.
Lord Rayleigh: Proc. Lond. Math. Soc.20 (1889) 225.
Auld B.A.: Acoustic Fields and Waves in Solids, J. Wiley and S., New York, 1973.
Dieulesaint E. and Royer D.: Elastic Waves in Solids, J. Wiley and S., Chichester, 1980.
Oliner A.A.: Acoustic Surface Waves, Springer-Verlag, Berlin, 1978.
Farnell G.W.:in Physical Acoustics (Eds. W.P. Mason and R.N. Thurston), Academic, New York, 1970, Vol. 6, p. 109.
Bálek R., Košek M., Taraba O., and Zelenka O.: Surface Acoustic Waves, Academia, Prague, 1986 (in Czech).
Viktorov I.A.: Physical Fundamentals of Applications of Rayleigh and Lamb Ultrasonic Waves in Technology, Nauka, Moscow, 1966 (in Russian).
Farnell G.W. and Adler E.L.:in Physical Acoustics (Eds. W.P. Mason and R.N. Thurston), Academic, New York, 1972, Vol. 9, p. 35.
Brekhovskikh L.M. and Godin O.A.: Acoustics of Layered Media, Nauka, Moscow, 1989 (in Russian).
Ewing W.M., Jardentzky W.L., and Press F.: Elastic Waves in Layered Media, Mc Graw-Hill, New York, 1957.
Shui Y. and Solodov I.Y.: J. Appl. Phys.64 (1988) 6155.
Zabolotskaya E.A.: J. Acoust. Soc. Am.91 (1992) 2569.
Zhou S.A.: J. Appl. Phys.74 (1993) 1912.
Quan Qi: J. Acoust. Soc. Am.95 (1994) 3222.
Li Z.L. and Achenbach J.D.: J. Appl. Mech.58 (1991) 688.
Tiersten H.F.: Linear Piezoelectric Plate Vibrations, Plenum Press, New York, 1969.
Harvey A.P., Craine R.E., and Syngellakis S.: J. Mech. and Phys. of Solids40 (1992) 1529.
Tonning A. and Ingebrigtsen K.A.: Propagation and Excitation of Elastic Waves in Crystals. Norweg. Inst. of Technol., Trondheim (Norway), 1967.
Synge J.L.: J. Math. and Phys.35 (1957) 323.
Stoneley R.: Proc. Roy. Soc. A232 (1955) 447.
Deresiewicz H. and Mindlin R.D.: J. Appl. Phys.28 (1957) 669.
Jansen D.P. and Hutchins D.A.: Acustica79 (1993) 117.
Chernoochenko A.A., Makhort F.G., and Gushcha O.I.: Soviet Appl. Mech.27 (1991) 38.
Chernoochenko A.A., Makhort F.G., and Gushcha O.I.: Int. Appl. Mech.28 (1992) 434.
Scott J.C.: Surface Wave (Abstracts), Vol. 4, No. 2. Multi-Science Publishing Co. Ltd., London E 15 (England), 1974.
Proc. Conf. Ultrasonics Int. 73, Imperial College, London, 27–29 March 1973. IPC Science and Technology Press, 1973.
Proc. Conf. Ultrasonics Int. 85, King’s College, London, 2–4 July 1985.
Brdička M.: Mechanics of Continuum, NČSAV, Prague, 1959 (in Czech).
Lamb H.: Proc. Roy. Soc. (Lond.) A93 (1916) 114.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Samek, L. Rayleigh surface waves in a plate. Czech J Phys 48, 45–56 (1998). https://doi.org/10.1023/A:1021288229749
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1023/A:1021288229749