Rayleigh Wave in an Initially Stressed Transversely Isotropic Dissipative Half-Space

Subject Areas : Engineering

B Singh ¹

1 - Department of Mathematics, Post Graduate Government College, Sector 11,Chandigarh

Received: 2013-05-18 Accepted : 2013-07-15 Published : 2013-09-30

Keywords:

References:

[1] Sinha S.B., 1964, Transmission of elastic waves through a homogenous layer sandwiched in homogenous media, Journal of Physics of the Earth 12:1-4.

[2] Gupta R. N., 1965, Reflection of plane waves from a linear transition layer in liquid media, Geophysics 30:122-131.

[3] Tooly R. D., Spencer T.W., Sagoci H.F., 1965, Reflection and transmission of plane compressional waves, Geophysics 30:552-570.

[4] Gupta R.N., 1966, Reflection of elastic waves from a linear transition layer, The Bulletin of the Seismological Society of America 56:511-526.
[5] Gupta R. N.,1967, Propagation of SH-waves in inhomogeneous media, The Journal of the Acoustical Society of America 41:1328-1329.

[6] Acharya H.K., 1970, Reflection from the free surface of inhomogeneous media, The Bulletin of the Seismological Society of America 60:1101-1104.
[7] Cerveny V., 1974, Reflection and transmission coefficients for transition layers, Studia Geophysica et Geodaetica 17:59-68.

[8] Singh B. M., Singh S. J., Chopra S. D., 1978, Reflection and refraction of SH-waves at the plane boundary between two laterally and vertically heterogeneous solids, Acta Geophysica Polonica 26:209-216.

[9] Singh B., 2008, Effect of hydrostatic initial stresses on waves in a thermoelastic solid half-space, Applied Mathematics and Computation 198:498-505.
[10] Sharma M. D., 2007, Effect of initial stress on reflection at the free surfaces of anisotropic elastic medium, Journal of Earth System Science 116:537-551.

[11] Dey S., Dutta D., 1998, Propagation and attenuation of seismic body waves in initially stressed dissipative medium, Acta Geophysica Polonica 46: 351-365.

[12] Selim M. M., Ahmed M. K., 2006, Propagation and attenuation of seismic body waves in dissipative medium under initial and couple stresses, Applied Mathematics and Computation 182:1064-1074.

[13] Biot M. A., 1965, Mechanics of Incremental Deformation, John Wiley and Sons Inc., New York.
[14] Selim M. M., 2008, Reflection of plane waves at free surface of an initially stressed dissipative medium, World Academy of Science, Engineering and Technology 30:36-43.

[15] Singh B., Arora J., 2011, Reflection of plane waves from a free surface of an initially stressed transversely iso- tropic dissipative medium, Applied Mathematics 2:1129-1133.

[16] Biot M. A., 1940, The influence of initial stress on elastic waves, Journal of Applied Physics 11:522-530.

[17] Babich S. Y., Guz A. N., Zhuk A. P, 1979 , Elastic waves in bodies with initial stress, Soviet Applied Mechanics 15:277-291.

[18] Guz A.N., 2002, Elastic waves in bodies with initial (residual) stresses, International Applied Mechanics38:23-59.

[19] Fung Y. C., 1965, Foundation of Solid Mechanics, Prentice Hall of India, New Delhi.