Electro-elastic coupled fields of the general line source in infinite multilayered piezoelectric medium

Abstract

Electro-elastic coupled fields excited by a general line source in a multilayered anisotropic piezoelectric medium are expressed in an analytical form. The general line source represents a combination of a straight 4D dislocation with the force and charge, distributed along the same line. The results are obtained in the form of well-convergent Fourier integrals. They can be considered as Green’s functions describing electro-elastic fields created in the given medium by arbitrary 2D bulk distributions of dislocations, forces, charges and electro-potential. The analysis is accomplished in terms of the propagator matrix which is equally applicable to both the stratified and graded layered media.