Investigation of the direct and inverse piezoeffect in the dynamic problem of electroelasticity for an unbounded medium with a tunnel opening

An effective approach to the investigation of antiplane electroacoustic wave fields in an unbounded piezoelectric medium weakened by a tunnel opening with the given system of surface electrodes is suggested. The approach is based on the method of boundary integral equations. It is assumed that the medium excitation occurs due to the effect of the given electrodes electric potential differences (inverse piezoeffect). The solution of the boundary-value problem of electroelasticity is also considered in the case of the direct piezoeffect when as a result of diffraction on the opening of monochromatic shear waves the generation of electric potential difference takes place on electrode coverings. An approximate scheme of numerical realization of the solvable system of singular integro-differential equations of the second kind with discontinuous kernels is given. There are presented some examples.