2D electro-elastic fields in a piezoelectric layer–substrate structure

Abstract

The coupled electro-elastic fields are found in the piezoelectric layer–substrate structure of unrestricted anisotropy containing straight-line sources in the interior or at the surface of the structure. The line sources in the interior are parallel to the surface, which is supposed to be free of traction or clamped and, electrically, metallized, free of charge or adjoined to an isotropic dielectric medium. The boundary problems of prescribed distributions of loads, displacements, electric potential or charge density at the surface are also considered. All obtained solutions are presented in a form of convergent Fourier integrals. The integrands are implicitly expressed in terms of the eigenvalues and the eigenvectors of the generalized Stroh matrix.