Abstract
This paper investigates Rayleigh waves, propagating on the surface of a visco-elastic solid under the linear theory of nonlocal elasticity. Dispersion relations are obtained. It is observed that the waves are dispersive in nature for small wavelengths. Numerical calculations and discussions presented in this paper lead us to some important conclusions.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Caloi P 1948 Comportement des ondes de Rayleigh dans unmilieu firmo-elastique indefini.Publ. Bur. Cent. Seismol. Int. A17: 89–108
Das S C, Acharya D P, Sengupta P R 1994 Magneto-visco-elastic surface waves in stressed conducting media.Sādhanā 19: 337–346
Eringen A C 1973 On Rayleigh surface waves with small wave lengths.Appl. Eng. Sci. 1: 11–17
Ewing W M, Jardetzky W S, Press F 1957Elastic waves in layered media (New York: Me Graw Hill) pp 272–280
Flügge W 1967Visco-elasticity (London: Blaisdell)
Hunter S C 1960Visco-elastic waves, progress in solid mechanics (eds) IN Snedon, R Hill (Amsterdam, New York: North Interscience)
Love A E H 1944A treatise on mathematical theory of elasticity (New York: Dover) p. 307
Maradudin A A, Montroll E W, Weiss G H, Ipatova IP 1971Theory of lattice dynamics in the harmonic approximation 2nd edn (New York: Academic Press) p. 531
Voigt W1887 Theoretische studien über die Elasticitatsverhalinisse Krystalle.Abh. Ges. Wiss. Goettingen 34
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Acharya, D.P., Mondal, A. Propagation of Rayleigh surface waves with small wavelengths in nonlocal visco-elastic solids. Sadhana 27, 605–612 (2002). https://doi.org/10.1007/BF02703353
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02703353