Anti-plane dynamic problem of an electroelastic cylinder with thin rigid inclusions excited by a system of surface electrodes

Summary The anti-plane mixed boundary problem of electroelasticity for vibrations of an infinite piezoceramic cylinder with a thin rigid inclusion is considered. Using the developed integral representation of the solution, the boundary problem is reduced to a system of singular integro-differential equations of the second kind with resolvent kernels. Calculations yeild the amplitude-frequency characteristics of the piecewise homogeneous cylinder. The behaviour of electroelastic fields, both within the cylinder and on its boundary, is given.