Moving dislocations in general anisotropic piezoelectric solids

The explicit closed-form solution is presented for a moving dislocation with the generalized Burgers vector b = (b₁,b₂,b ₃, Δφ]^T in an anisotropic piezoelectric solid, where Δφ corresponds to an electric dipole layer along the slip plane. The steady-state version of the Stroh formalism for piezoelectricity is used in this work. Particular attention is paid to the basic characteristics of the electric displacement and electric field due to the moving piezoelectric dislocations. As an important example, a detailed analysis is made for moving dislocations in hexagonal piezoelectric crystals.