Dynamic Anti-plane Interaction Of Two Piezoelectric Inclusions

Piezoelectric materials possess high degree of high power density, greater efficiency and potential for low cost manufacture in comparison with alternative electromechanically coupled materials. As a result, the applications of piezoelectric materials have given rise to the remarkable progress of sensors and actuators used in the self-controlling and self-monitoring smart structures. In many practical devices, the layered structures consist of the piezoelectric and other materials are most widely adopted. So much attention has focused on the dynamic response of the layered piezoelectric structuresThis paper constitutes a continuing study in understanding the microscopic behavior of these materials in the presence of defects such as cracks, dislocations, cavities and inclusions subjected to mechanical and electrical loads. In this article, the dynamic interaction between inclusions in piezoelectric medium under anti-plane mechanical and in-plane electric loads was investigated by using complex function theory and multi-polar coordinate method. The complex function series which approach the solution of that problem and general expression for boundary conditions are given. Numerical examples are provided to show the effect of the geometry of the inclusions, the piezoelectric constants of the materials and the frequencies of the incident wave upon the dynamic stress concentration factors. The study reveals the importance of the electro-mechanical coupling terms upon the resulting dynamic stress concentration factors.