Sushko T. Two-dimensional static and stationary wave fields in piecewise homogeneous piezoceramic solids

The new antiplane boundary problems of electroelasticity for composite piezoceramic solids with the tunnel defects are solved by the singular integral equations method. The direct and inverse piezoeffect has been observed in composite piezoceramic medium under antiplane strain conditions. The 2D singular electroelastic problems for compound or uniform piezoceramic wedge under antiplane or plane strain conditions are considered. Singularities of coupled physical fields at the apex of the wedge are investigated for two basic types boundary conditions on its faces. At some relations of the geometric and stiffness parameters of the wedge components, the coupled electroelastic fields have a power-type singularity intensified by oscillations at the wedge top. Such an effect is not observed in the case of piezopassive composite wedges under antiplane strain conditions. The Green's function is constructed for the case of point shearing action of strains or electrical charges in a composite wedge. The appropriate boundary problems with engaging of Mellin's integral transformation are considered. The fundamental solution of stationary wave problems electroelasticity for compound piezoceramic solids are constructed under antiplane strain conditions. The boundary problem is solved.