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, Er and Hr, of the electric and magnetic fields as well as the hoop components, Dθ and Bθ, 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.