Time-harmonic dynamic Green's functions for two-dimensional functionally graded magnetoelectroelastic materials

In this study, for two-dimensional functionally graded magnetoelectroelastic materials, the explicit solutions of time-harmonic dynamic Green's functions are derived. With the coupling of the mechanical-electric-magnetic fields and material gradient properties of exponentially varying, the governing equations are presented. Different conditions on the wave number and material gradient characteristics are discussed, separately. In the numerical results, the effects of both dynamic and gradient properties on the Green's functions are presented. It is also found that the time-harmonic dynamic Green's functions tend to zero with the distance increasing.