Influence of Heterogeneity on Rayleigh Wave Propagation in an Incompressible Medium Bonded Between Two Half-Spaces

Subject Areas : Engineering

S.A Sahu ¹ (Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India)
A Singhal ² (Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India)
S Chaudhary ³ (Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India)

Received: 2017-06-16 Accepted : 2017-08-19 Published : 2017-09-01

Keywords:

References:

[1] Rayleigh L., 1885, On waves propagating along the plane surface of an elastic solid, Proceedings of the Royal Society of London, Series A 17: 4-11.
[2] Bullen K.E., 1947, An Introduction to the Theory of Seismology, Cambridge University Press.
[3] Ewing W.M., Jardetzky W.S., Press F., 1957, Elastic Waves in Layered Media, McGraw-Hill, New York.
[4] Love A.E.H., 1944, A Treatise on the Mathematical Theory of Elasicity, Dover Publication, New York.
[5] Stonely R., 1924, Elastic waves at the surface of separation of two solids (transverse waves in an internal stratum), Proceedings of the Royal Society of London.
[6] Stonely R., 1926, The effect of ocean on Rayleigh waves, Monthly Notices of the Royal Astronomical Society 1: 349-356.
[7] Biot M.A., 1952, The interaction of Rayleigh and Stonely waves in ocean bottom, Bulletin of the Seismological Society of America 42: 81-92.
[8] Tolstoy I., 1954, Dispersive properties of fluid layer over lying a semi-infinite elastic solid, Bulletin of the Seismological Society of America 44: 493-512.
[9] Abubaker I., Hudson J.A., 1961, Dispersive properties of liquid overlying an aelotropic half-space,The Royal Astronomical Society 5: 218-229.
[10] Carcoine J.M., 1992, Rayleigh waves in isotropic viscoelastic media, Geophysical Journal International 108:453-464.
[11] Destrade M., 2001, Surface waves in orthotropic incompressible materials, Acoustical Society of America 110(2): 837.
[12] Rudzki M.P., 2003, On the propagation of an elastic surface wave in a transversely isotropic medium, Journal of Applied Geophysics 54: 185-190.
[13] Vinh P.C., Ogden R.W., 2004, Formulas for Rayleigh wave speed in orthotropic elastic solids, Archives of Mechanics 56(3): 247-265.
[14] Singh J., Kumar R., 2013, Propagation of Rayleigh waves due to the presence of a rigid barrier in a shallow ocean, International Journal of Engineering and Technology 5(2): 917-924.
[15] Gupta I.S., 2013, Propagation of Rayleigh waves in a prestressed layer over a prestressed half-space, Frontiers in Geotechnical Engineering 2(1): 16-22.
[16] Vinh P.C., Anh V.T.N., Thanh V.P., 2014, Rayleigh waves in an isotropic elastic half-space coated by a thin isotropic elastic layer with smooth contact, Wave Motion 51: 496-504.
[17] Pal P.C., Kumar S., Bose S., 2015, Propagation of Rayleigh waves in anisotropic layer overlying a semi-infinite sandy medium, Ain Shams Engineering Journal 6(2): 621-627.
[18] Gupta I.S., Kumar A., 2014, Propagation of Rayleigh wave over the pre-stressed surface of a heterogeneous medium, Proceeding of 59th Congress of ISTAM.
[19] Kakar R., Kakar S., 2013, Rayleigh waves in non-homogeneous granular medium, Journal of Chemical, Biological and Physical Sciences 3(1): 464-478.
[20] Dutta S., 1963, Rayleigh waves in a two layer heterogeneous medium, Bulletin of the Seismological Society of America 53(3): 517-526.
[21] Singh B., 2014, Wave propagation in an incompressible transversely isotropic thermoelastic solid, Meccanica 50:1817-1825.
[22] Vinh P.C., Link N.T.K., 2013, Rayleigh waves in an incompressible elastic half-space overlaid with a water layer under the effect of gravity, Meccanica 48: 2051-2060.
[23] Singh B., 2013, Rayleigh wave in an initially stressed transversely isotropic dissipative half-space, Journal of Solid Mechanics 5(3): 270-277.
[24] Kakar R., 2015, Rayleigh waves in a homogeneous magneto-thermo voigt-type viscoelastic half-space under initial surface stresses, Journal of Solid Mechanics 7(3): 255-267.