The present paper discusses the dispersion equation for horizontally polarized shear waves (SH waves) in a non-homogeneous self-reinforced layer over a semi infinite self-reinforced medium with an irregularity. The dispersion equation has been obtained in closed form. In the isotropic case, when non homogeneity and irregularity are absent, the dispersion equation reduces to standard SH wave equation. The dispersion curves have been presented by means of graphs for different sizes of irregularity and different values of non-homogeneity parameters. The influence of depth of irregularity and non-homogeneity parameters on phase velocity has been studied.
Wentzel–Kramers–Brillouin approximation technique serves as a powerful tool to find the particle displacements due to surface wave propagation in bedded structure with distinct material properties. This study is carried out to investigate the transference of Love-type waves in functionally graded piezoelectric material layer bonded between viscous liquid and pre-stressed piezoelectric half-space. Following the elastic wave theory, the mathematical model is established. Wentzel–Kramers–Brillouin method is applied to obtain the theoretical derivations in functionally graded piezoelectric material stratum where variation in material gradients is taken exponentially. Separation of variables method is employed to obtain the displacement components in viscous liquid and piezoelectric medium. Dispersion equations for considered surface wave are obtained in both electrically open and short cases. Profound effect of material gradient coefficient on phase velocity has been remarkably established. Some numerical examples are carried out and represented through graphs. The considered model facilitates a theoretical foundation and practical application for the development of surface acoustic wave devices.
In the present paper we study the propagation of horizontally polarised shear waves (SH waves) in an internal magnetoelastic monoclinic stratum with rectangular irregularity in lower interface and is sandwiched between two semi-infinite isotropic elastic media. The dispersion equation has been obtained. It is observed that the dispersion equation is in assertion with the classical Love-type wave equation, for isotropic layer sandwiched between two isotropic half spaces, in the absence of magnetic field and irregularity. The effects of depth of irregularity and monoclinic-magnetoelastic coupling parameters on dispersion curves are depicted by means of graphs. This study shows the remarkable effect of wave number, size of irregularity and magnetic field on the phase velocity.
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