Propagation of Surface Wave in Fluid Saturated Porous Medium Sandwiched Between Magneto-Elastic Self-Reinforced Layer and Heterogeneous Isotropic half-space
Keywords:
Surface wave, Heterogeneity, Magneto-elastic, Self-reinforcement, Porosity
Abstract
The present study deals with the propagation of surface waves in the fluid saturated porous medium sandwiched between magneto-elastic self-reinforced medium and heterogeneous isotropic half-space. Frequency equation of surface wave has been obtained. Numerical results and particular cases have also been discussed. In the isotropic case, when heterogeneity, magnetic field, self-reinforcement and porosity are absent, the frequency equation reduces to classical Love wave equation. Effects of reinforcement, magneto-elastic coupling parameter and heterogeneity on phase velocity have been depicted by means of graphs.
References
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A.Chattopadhyay and S.Chaudhury, Magnetoelastic shear waves in an infinite self-reinforced plate, International Journal of Numerical and Analytical Methods in Geomechanics, 19(1995), 289-304.
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R.Kumar and B.S.Hundal, Wave propagation in a fluid saturated incompressible porous medium, Indian J. Pure Appl. Math., 4(2003), 651-665.
M.Sethi and K.C.Gupta, Surface Waves in Homogeneous, General Magneto-Thermo, Visco-Elastic Media of Higher Order Including Time Rate of Strain and Stress, International Journal of Applied Mathematics and Mechanics, 7(17)(2011), 1-21.
P.D.S.Verma, O.H.Rana and M.Verma, Magnetoelastic transverse surface waves in self-reinforced elastic bodies, Indian Journal of Pure and Applied Mathematics, 19(7)(1988), 713-716.
C.F.Richter, Elementary Seismology, Freeman, San Francisco, U.S.A., (1958).
M.A.Biot, Theory of Deformation of a Porous Viscoe-lastic Anisotropic Solid, Journal of Applied Physics, 27(5)(1956), 459-467.
M.A.Biot, Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid, Journal of the Acoustical Society of America, 28(2)(1956), 168-178.
A.Chattopadhyay and S.Chaudhury, Magnetoelastic shear waves in an infinite self-reinforced plate, International Journal of Numerical and Analytical Methods in Geomechanics, 19(1995), 289-304.
A.Chattopadhyay and R.K.De, Love type waves in a porous layer with irregular interface, Int. J. Engg. Sci., 21(1983), 1295-1303.
A.Chattopadhyay, S.A.Sahu and A.K.Singh, Dispersion of G-type seismic wave in magnetoelastic self-reinforced layer, Int. J. of Appl. Math and Mech., 8(2012), 2-7.
I.Edelman, Surface wave in porous medium interface: low frequency range, Wave Motion, 39(2004), 111-127.
D.Gubbins, Seismology and plate tectonics, Cambridge University press, Cambridge/New York, (1990).
S.Gupta, A.Chattopadhyay and D.K.Majhi, Effect of initial stress on Propagation of Love waves in an anisotropic porous layer, Journal of Solid Mechanics, 2(2010), 50-62.
R.Kumar and B.S.Hundal, Wave propagation in a fluid saturated incompressible porous medium, Indian J. Pure Appl. Math., 4(2003), 651-665.
M.Sethi and K.C.Gupta, Surface Waves in Homogeneous, General Magneto-Thermo, Visco-Elastic Media of Higher Order Including Time Rate of Strain and Stress, International Journal of Applied Mathematics and Mechanics, 7(17)(2011), 1-21.
P.D.S.Verma, O.H.Rana and M.Verma, Magnetoelastic transverse surface waves in self-reinforced elastic bodies, Indian Journal of Pure and Applied Mathematics, 19(7)(1988), 713-716.
C.F.Richter, Elementary Seismology, Freeman, San Francisco, U.S.A., (1958).
How to Cite
Nidhi Dewangan, & S.A.Sahu. (2016). Propagation of Surface Wave in Fluid Saturated Porous Medium Sandwiched Between Magneto-Elastic Self-Reinforced Layer and Heterogeneous Isotropic half-space. International Journal of Current Research in Science and Technology, 2(1), 61-71. Retrieved from https://crst.gfer.org/index.php/crst/article/view/61
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