Abstract
The present paper is concerned with two-dimensional wave propagation in a homogeneous isotropic elastic solid medium underlying a liquid layer, under the influence of a gravitational field, when a compressional wave source is present in the liquid. In the absence of gravity the result is in good agreement with the corresponding result of the classical problem.
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References
Biot M A 1965Mechanics of incremental deformation (New York: Wiley)
Bromwich T J J A 1898 On the influence of gravity on elastic waves and in particular on the vibrations of an elastic globe.Proc. London Math. Soc. 30: 98–120
Das T K, Sengupta P R 1992 Effect of gravity on visco-elastic surface waves in solids involving time rate of strain and stress of first order.Sādhanā 17: 315–323
De S N, Sengupta P R 1973 Plane Lamb’s problem under the influence of gravity.Gerlands. Beitr. Geophys. (Leipzig) 82: 421–426
De S N, Sengupta P R 1974 Influence of gravity on wave propagation in an elastic layer.J. Acoust. Soc. Am. 55: 919–921
De S N, Sengupta P R 1976 Surface waves under the influence of gravity.Gerlands Beitr. Geophys. (Leipzig) 85: 311–318
Ewing W M, Jardetzky W S, Press F 1957Elastic waves in layered media (London: McGraw Hill)
Jeffreys H 1926 On compressional waves in two superposed layers.Proc. Cambridge Philos. Soc. 22: 472–481
Lamb H 1945Hydrodynamics 6th edn (New York: Dover)
Love A E H 1911Some problems of geodynamics (New York: Dover)
Muskat M 1933 Theory of refraction shooting.Physics 4: 14–28
Pekeris C L 1948 Theory of propagation of explosive sound in shallow water.Geol. Soc. Am., Mem. 27
Press F, Ewing W M 1950 Propagation of explosive sound in a liquid overlying a semi-infinite elastic solid.Geophysics 15: 426–446
Scholte J G 1943 Over het verband tussen zeego ‘ven on Microseismen III.Neet Akad. Wetenschap Verslag Gewone Vergader Afdeel Naturk. 52: 669–683
Sommerfeld A 1949Partial differential equations in physics (New York: Academic Press) ch. 1
Stoneley R 1926 The effect of the ocean on Rayleigh waves.Mon. Not. R. Astron. Soc. 1: 349–356
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Nath, S., Sengupta, P.R. Influence of gravity on propagation of waves in a medium in presence of a compressional source. Sadhana 24, 495–505 (1999). https://doi.org/10.1007/BF02745625
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DOI: https://doi.org/10.1007/BF02745625