Department of Applied Mathematics Indian School of Mines University, Dhanbad-826 004, India.
The paper aims to study the shear wave propagation in a monoclinic layer over a semi-infinite monoclinic half space due to irregularity in the monoclinic layer. It is of great interest to study the propagation of shear waves in the assumed medium having a non planar boundary for its similarity to most of real situations. In this paper the irregularity has been taken in the layer over the half-space in the form of a triangular notch. The perturbation method is applied to find the displacement field. Finally, as an application the result obtained is used to get the reflected field in anisotropic layer when the shear wave is incident on an irregular boundary in the shape of triangular notch. It is observed that the amplitude of this reflected wave decreases as the length of the notch decreases and there will be no reflection if the length of the triangular notch is an integral multiple of the wavelength. As a limiting case dispersion equation of Love wave has been obtained by neglecting the anisotropic nature of the medium. Also the dispersion equation of shear waves in anisotropic layer with irregular boundary obtained by Chattopadhyay and Pal [11] has been deduced.
