Dispersion of Stoneley waves through the irregular common interface of two hydrostatic stressed MTI media

Abstract

The present work deals with the mathematical inspection of Stoneley wave propagation through the corrugated irregular common interface of two dissimilar magnetoelastic transversely isotropic (MTI) half-space media under the impression of hydrostatic stresses. For the enumeration of the Lorentz's force besmeared in the structure, generalized Ohm's law and Maxwell's equation have been considered. The interior deformations are calculated analytically to obtain the wave frequency equation using prescribed boundary conditions. To investigate the impacts of irregularity and various affecting parameters such as magnetic couplings and hydrostatic stresses on the wave propagation, frequency curves are framed-up for the phase velocity of the wave.

Examining the contact problem of a functionally graded layer supported by an elastic half‐plane with the analytical and numerical methods

“…Yan and Li (2015) investigated the frictionless separation contact problem between an FG layer and an elastic layer, accepting that the FG layer is isotropic and the shear modulus of the layer varies depending on an exponential function along the thickness [29]. In addition to the summarized studies above, the literature also includes studies evaluating layered structures' behavior under different wave types outside the contact problem [30][31][32][33][34][35][36].…”

Magnetic effects on surface waves in a rotating non-homogeneous half-space with grooved and impedance boundary characteristics

“…A grooved boundary surface could be visualized as a series of parallel furrows and ridges whose occurrence in mechanical propagation of wave results in several effects, especially across interfaces (Asano,[4]). Interestingly, some authors made contributions to this concept of corrugated boundary and other related wave propagation phenomena (Singh,; Das et al [12]; Abd-Alla et al [13]; Chattopadhyay et al [14]; Roy et al [16]; Singh et al [17]; Gupta et al [18][19]; Anya et al [20][21][22][23]; [24]; Maleki et al [24], Chowdhury et al [25]; Singh et al [26][27]; [28]; Sahu et al [28], Giovannini, [29] and Rakshit et al [30][31]).…”