Dispersion Characteristics of Shear Horizontal Waves in a Porous Magnetoelastic Multilayered Structure

The paper presents an analytic scheme to investigate the transference of the shear horizontal wave (SH-wave) in an n-layered porous magnetoelastic layered structure with initial stress. The poroelastic medium's constitutive relations and dynamic equations are derived from Eringen's nonlocal theory of elasticity in order to capture the effect of internal characteristic length. Using Haskell's matrix method, the dispersion equation of the propagating SH-wave through the multilayered structure is derived. In order to verify the validity of the problem, the dispersion equations are compared to the well-known Love wave equation for particular models. Numerical simulations and graphical illustrations are performed for n=2,3 to observe the impact of porosity, magnetoelastic parameter, prestress, and nonlocality on the phase velocity of the propagating wave. Thereafter, the finite difference method has been opted for to derive the phase velocity and group velocity. To check the stability of the finite difference method (FDM), an error analysis has been done to ensure its stability and convergence.