Dislocations and line charges in anisotropic piezoelectric insulators

Abstract

Abstract The six‐dimensional framework developed by Stroll to treat dislocations and line forces in classical anisotropic elastic media is extended to an eight‐dimensional formalism to treat dislocated piezoelectric insulators. The solutions are recast into a four‐dimensional form using the so‐called integral formalism developed previously by the authors. This technique allows one to compute the gradients of the mechanical displacement and the electrostatic potential as well as the total energy of the dislocated piezoelectric by merely computing three constant real (4 × 4) matrices using numerical integration, numerically a considerably simpler method than the prescription attached to the original Stroh formalism.