Time-harmonic dynamic fundamental solutions for transversely isotropic magnetoelectroelastic media under anti-plane deformation

In this paper, we present the dynamic fundamental solutions of transversely isotropic magnetoelectroelastic materials under a time-harmonic line electric charge, a time-harmonic line magnetic charge and a time-harmonic anti-plane line force. By introducing two new functions, the governing equations of the original problem are decoupled into the Helmholz equation for the elastic displacement and two Laplace equations for the two new functions. Then, all the field quantities are determined explicitly. The obtained results show that electromagnetic line loadings can produce the stresses, which is different from the static case.