A moving dislocation in a magneto-electro-elastic solid

This work considers the generalized plane problem of a moving dislocation in an anisotropic elastic medium with piezoelectric, piezomagnetic and magnetoelectric effects. The closed-form expressions for the elastic, electric and magnetic fields are obtained using the extended Stroh formalism for steady-state motion. The radial components, E_r and H_r, of the electric and magnetic fields as well as the hoop components, D _θ and B_θ, of electric displacement and magnetic flux density are found to be independent of θ in a polar coordinate system. This interesting phenomenon is proven to be is a consequence of the electric and magnetic fields, electric displacement and magnetic flux density that exhibit the singularity r^-1 near the dislocation core. As an illustrative example, the more explicit results for a moving dislocation in a transversely isotropic magneto-electro-elastic medium are provided and the behavior of the coupled fields is analyzed in detail.