Love-type wave propagation in a hydrostatic stressed magneto-elastic transversely isotropic strip over an inhomogeneous substrate caused by a disturbance point source

Abstract

Propagation of Love-type waves emanating due to a disturbance point source in a transversely isotropic layer of finite thickness laid over a semi-infinite half-space is investigated. The layer is assumed under the influence of magnetic field and hydrostatic state of stress, while the half-space is inhomogeneous. The source point is situated at the common interface of the layer and half-space. Maxwell’s equation and generalized Ohm’s law have been taken into account to calculate the Laurent force induced in the layer. Green’s function technique and Fourier transform are used as a powerful tool to calculate the interior deformations of the model; consequently, we obtain a closed-form dispersion relation for the wave. Six numerical examples for the transversely isotropic layer, namely, beryl, magnesium, cadmium, zinc, cobalt, and simply isotropic, have been considered. The role of magneto-elastic coupling parameter, hydrostatic stress, inhomogeneity, the order of the depth variation in inhomogeneity function, and different examples of the layer on the propagation of Love-type wave has been observed by numerical examples and graphical demonstrations.

Parametric influence of magneto elasticity, initial stresses, porosity and thickness ratio on the phase and attenuation traits of SH-waves

“…They have calculated the group and phase velocities by using the stiffness matrix method (SMM) for magneto-electrically open and shorted cases. Some other interesting investigations on SH wave are reported in the articles (Alam et al, 2018;Hobeck and Inman, 2015;Liu and Lv, 2019).…”

Dispersion and attenuation of SH‐waves in a temperature‐dependent Voigt‐type viscoelastic strip over an inhomogeneous half‐space

“…As pointed out by Bullen [12], the different adjacent layers of Earth have different density rates. The wave regulation phenomenon in heterogeneous elastic media has long been a subject of great interest (Kundu et al [13], Kumari et al [14,15], Sahu et al [16,17], Alam et al [18], and Vaishnav et al [19]).…”

Vibrational analysis of Love waves in a viscoelastic composite multilayered structure

“…The vibrational analysis of SH-waves in different magneto-elastic Earth's structure has been mathematically carried out by Alam et al [7] and Kundu et al [26]. Moreover, the propagation behavior of Love-type waves originating due to a point source has been graphically demonstrated by Alam et al [8]. In this study, the results have been obtained by considering six different transversely isotropic media like beryl, magnesium, cadmium, zinc, cobalt, and simply isotropic one.…”