Effect of Rotation, Magnetic Field and Initial Stresses on Propagation of Plane Waves in Transversely Isotropic Dissipative Half Space

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References

[1] M. A. Biot, “The Influence of Initial Stress on Elastic Waves,” Journal of Applied Physics, Vol. 11, No. 8, 1940, pp. 522-530. doi:10.1063/1.1712807

[2] J. D. Achenbach, “Wave Propagation in Elastic Solids,” North-Holland Pub. Co., New York, 1973.

[3] P. Borejko, “Reflection and Transmission Coefficients for Three-Dimensional Plane Waves in Elastic Media,” Wave Motion, Vol. 24, No. 4, 1996, pp. 371-393.
doi:10.1016/S0165-2125(96)00026-1

[4] M. A. Biot, “Mechanics of Incremental Deformation,” Wiley, New York, 1965.

[5] S. Dey and D. Dutta, “Propagation and Attenuation of Seismic Body Waves in Initially Stressed Dissipative Me dium,” Acta Geophysica, Vol. 46, No. 3, 1998, pp. 351-366.

[6] R. W. Ogden and D. Sotirropoulos, “Reflection of Plane Waves from the Boundary of a Pre-Stressed Compressi ble Elastic Half-Space,” IMA Journal of Applied Mathe matics, Vol. 61, No. 1, 1998, pp. 61-90.
doi:10.1093/imamat/61.1.61

[7] S. K. Roychoudhuri and S. Banerjee, “Magneto-Thermo elastic Interaction in an Infinite Viscoelastic Cylinder of Temperature-Rate Dependent Material Subjected to a Pe riodic Loading,” International Journal of Engineering Science, Vol. 36, No. 5-6, 1998, pp. 635-643.
doi:10.1016/S0020-7225(97)00096-7

[8] M. D. Sharma, “Effect of Initial Stress on Reflection at the Free Surfaces of Anisotropic Elastic Medium,” Journal of Earth System Science, Vol. 116, No. 6, 2007, pp. 537-551. doi:10.1007/s12040-007-0049-8

[9] R. D. Tooly, T. W. Spencer and H. F. Sagoci, “Reflection and Transmission of Plane Compressional Waves,” Geo physics, Vol. 30, No. 4, 1965, pp. 552-570.
doi:10.1190/1.1439622

[10] A. Chattopadhyay and R. L. K. Venkateswarlu, “Reflec tion and Refraction of Quasi P and SV Waves at the In terface of Fiber-Reinforced Media,” Advanced Studies in Theoretical Physics, Vol. 1, No. 2, 2007, pp. 57-73.

[11] A. N. Norris, “Propagation of Plane Waves in a Pre Stressed Elastic Media,” Journal of the Acoustical Society of America, Vol. 74, No. 5, 1983, pp. 1642-1643.
doi:10.1121/1.390131

[12] B. Singh and J. Arora, “Reflection of Plane Waves from a Free Surface of an Initially Stressed Transversely Iso tropic Dissipative Medium,” Applied Mathematics, Vol. 2, 2011, pp. 115-125.

[13] B. Singh and J. Arora, “Reflection of Plane Waves from Free Surface of an Initially Stressed Rotating Orthotropic Dissipative Solid Half Space,” Engineering, Vol. 4, No. 3, 2012, pp. 170-175. doi:10.4236/eng.2012.43022

[14] M. M. Selim, “Reflection of Plane Waves at Free Surface of an Initially Stressed Dissipative Medium,” World Academy of Science, Engineering and Technology, Vol. 30, 2008, pp. 120-127.

[15] T. Kong, D. X. Li and X. Wang, “Thermo-Magneto-Dy namic Stresses and Perturbation of Magnetic Field Vector in a Non-Homogeneous Hollow Cylinder,” Applied Ma thematical Modelling, Vol. 33, No. 11, 2009, pp. 2939-2950. doi:10.1016/j.apm.2008.10.003