Author(s)

Shishir Gupta, Amares Chattopadhyay, Sumit K. Vishwakarma, Dinesh K. Majhi

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In the present paper we study the effect of rigid boundary on the propagation of Love waves in an inhomogeneous substratum over an initially stressed half space, where the heterogeneity is both in rigidity and density. The dispersion equation of the phase velocity has been derived. It has been found that the phase velocity of Love wave is considerably influenced by the rigid boundary, inhomogeneity and the initial stress present in the half space. The velocity of Love waves have been calculated numerically as a function of KH (where K is a wave number H is a thickness of the layer) and are presented in a number of graphs.

Love Waves, Initial Stress, Heterogeneous Half-Space, Rigid Boundary, Phase Velocity

S. Gupta, A. Chattopadhyay, S. Vishwakarma and D. Majhi, "Influence of Rigid Boundary and Initial Stress on the Propagation of Love Wave," Applied Mathematics, Vol. 2 No. 5, 2011, pp. 586-594. doi: 10.4236/am.2011.25078.