EXCITATION OF SHEAR WAVES IN A PIEZOCERAMIC LAYER WITH A TUNNEL CAVITY BY A SYSTEM OF SURFACE ELECTRODES

Abstract

An antiplane stationary dynamic problem of electroelasticity for a piezoceramic layer weakened by a tunnel cavity with a system of active surface electrodes is studied. Using Green’s function for a homogeneous piezoceramic layer integral representations of the solutions automatically satisfying the boundary conditions on its bases and also the conditions of radiation at infinity are constructed. Allowing for these representations the boundary problem of electroelasticity is reduced to a system of singular integrodifferential equations of the second kind with resolvent kernels. Results of parametric investigations characterizing the behaviour of the components of the electroelastic field on the cavity surface in the area of a piecewise-homogeneous layer are given. An antiplane stationary dynamic problem of electroelasticity for a piezoceramic layer weakened by a tunnel cavity with a system of active surface electrodes is studied. Using Green’s function for a homogeneous piezoceramic layer integral representations of the solutions automatically satisfying the boundary conditions on its bases and also the conditions of radiation at infinity are constructed. Allowing for these representations the boundary problem of electroelasticity is reduced to a system of singular integrodifferential equations of the second kind with resolvent kernels. Results of parametric investigations characterizing the behaviour of the components of the electroelastic field on the cavity surface in the area of a piecewise-homogeneous layer are given.