Abstract
Within the framework of the linear theory of piezoelectricity, the problem of circularly cylindrical layered media under anti-plane deformations and in-plane electric fields is considered and solved in this paper. The layers are coaxial cylinders of annular cross-sections with arbitrary radii and different material properties. Based on the complex variable theory and the method of alternating technique, the solution of the present problem is expressed in terms of the solution of the corresponding homogeneous problem subjected to the same loading. Stress and electric field concentrations which are dependent on the mismatch in the material constants, the location of singularities and the magnitude of electromechanical loadings are studied in detail. In the course of these developments, it is discovered that certain types of inclusions do not disturb a uniform anti-plane shear and a uniform in-plane electric field.
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