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Effect of Rigid Boundary, Initial Stress and Inhomogeneity on the Propagation of Torsional Surface Waves
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This paper is developed to investigate the effect of presence of rigid boundary on the propagation of torsional surface waves in non homogeneous anisotropic half-space under initial stress. It has been assumed that the rigidity, initial compressive stress and density vary linearly with depth. The medium with assumed conditions allow the propagation of torsional surface waves. The dispersion relation has been obtained in a closed form and presented by means of graphs. It has been observed that when the initial stress increases, the velocity of torsional wave decreases and the increase of anisotropy factor increase the velocity. Also the velocity of torsional waves increases with the increases nonhomogeneity parameters.
Keywords
Rigid Boundary, Initial Stress, Inhomogeneity, Torsional Surface Waves, Dispersion Relation.
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- Biot, M.A.:The influence of initial stress on elastic wave, J. Appl. Phys. 11 (1940) 522–530.
- Chattopadhyay, A., Gupta, S., Kumari, P. Sharma, V.K.: Propagation of torsional waves in an inhomogeneous layer over an inhomogeneous half space. Meccanica. 46(4), 671-680 (2011).
- Chattopadhyay, A., Bose, S., Chakraborty, M. : Reflection of elastic waves under initial stress at a free surface, J. Acoust Soc. Am. 72,255–263 (1982).
- Dey, S., Gupta, S., Gupta, A.K. : Torsional surface waves in an elastic half-space with void pores, International Journal for Numerical and Analysis Methods in Geomechanics 17 (3), 97– 204(1993).
- Dey, S., Dutta, A.: Torsional wave propagation in an initially stressed cylinder, Proceedings of the Indian National Science Academy 58A (5) 425–429(1992).
- Dey, S., Addy, S.K. : Reflection of plane waves under initial stress at a free surface, Int. J. Non-linear Mech. 12 371– 381(1977).
- Georgiadis, H.G., Vardoulakis, I., Lykotrafitis, G. : Torsional surface waves in a gradient-elastic half-space, Wave Motion, 31 (4) ,333–348(2000).
- Gupta, S., Chattopadhyay, A., Kundu, S.: Effect of rigid boundary on propagation of torsional surface waves in porous elastic layer, Appl. Math. Mech.,32(3), 327–338 (2011).
- Kar, B.K., Kalyani, V.K.: Reflection and refraction of SH-waves due to the presence of a sandwiched initially stressed sandy layer, Geophys. Res. Bulletin 25, 117–124(1987).
- Meissner, E.: Elastic oberflachenwellen mit dispersion in einem inhomogeneous medium. Viertelgahrsschriftden Naturforschender Ge-sellschaft in Zurich. 66, 181-185 (1921).
- Selim, M.M.: Propagation of torsional surface waves in heterogeneous half-space with irregular free surface, Applied Mathematical Sciences 1 (29) 1429–1437(2007).
- Roy, P.P. :Wave propagation in a thinly two layered medium with stress couples under initial stresses, Acta Mech. 54 ,1– 21(1984).
- Vardoulakis, I.: Torsional surface wave in inhomogeneous elastic media. Int. J. Numer. Anal. Methods Geomech. 8, 287-296 (1984).
- Whittaker, E.T., Watson, G.N.: A course of modern analysis. Cambridge University Press. (1991).
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