Time-Harmonic Lamb Problem for a System Consisting of a Prestressed Piezoelectric Covering Layer and a Prestressed Half-Plane

Abstract

Within the framework of a piecewise homogeneous body model, with the use of exact equations of the linearized theory of electroelasticity for initially stressed bodies, the time-harmonic Lamb problem for a system consisting of a prestressed piezoelectric covering layer and a half-plane is studied. The boundary value problem considered is solved by employing the Fourier exponential transformation technique with respect to the coordinates along the interface. An algorithm is proposed and employed to obtain numerical results for the distribution of the normal and shear stresses acting on the interface plane.