A rigid line in a confocal elliptic piezoelectric inhomogeneity embedded in an infinite piezoelectric medium

An e€ective method is developed and used to investigate the elastic ®eld and electric ®eld of a rigid line in a confocal elliptic piezoelectric inhomogeneity embedded in an in®nite piezoelectric medium. The matrix is subjected to the remote antiplane shear and inplane electric ®eld. The analytical solution is obtained using the conformal mapping and the theorem of analytic continuation. Speci®c solutions which are compared with existing ones are provided. The characteristics of the elastic ®eld and electric ®eld singularities at the rigid line tip are analyzed and the extension forces on the rigid line are derived