Electric field gradient effects in anti-plane problems of polarized ceramics

Abstract The equations of elastic dielectrics with electric field gradient effects are specialized to the case of anti-plane motions of polarized ceramics. A general solution is obtained in polar coordinates. Analytical solutions to the static problems of the potential field of a line source, the capacitance of a circular cylindrical ceramic shell, and the dynamic problem of the dispersion relation of plane waves are obtained to examine the electric field gradient effect. Special attention is paid to the case when the shell is thin and the waves are short.