A coupled mixed problem for a system of electrodes on the surface of a prestressed electroelastic structurally inhomogeneous half-space

The features of the interaction of a system of electrodes with a prestressed structurally inhomogeneous piezoactive half-space are investigated. The problem is reduced to a convolution equation on a system of sections, to solve which, a generalization of a previously proposed method is used, which enables the dynamic properties of the medium to be taken into account with high accuracy. Using the example of the problem of the excitation of shear oscillations of a weakly inhomogeneous piezoactive half-space, it is shown that the effect of the initial mechanical stresses on the electric-induction distribution in the contact zone for a homogeneous and bipolar system of five and nine electrodes is independent of the number of electrodes, but depends considerably on the form of the initial stress state. A triaxial stress state has the strongest effect on the electric-induction distribution.