Scattering Of SH-Wave And Dynamic Stress Concentration On A Piezoelectric Medium With A Cavity Near The Interface

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. Therefore, it is of very importance to study the electro-elastic fields as a result of the presence of defects.An analytic method based on the theory of linear elasticity is developed for the problem of scattering of steady SH-wave and dynamic analysis on a piezoelectric medium with a cavity near the interface in this paper. The scattered wave function, which satisfies the condition of stress free at the surface of a piezoelectric semi-infinity with a cavity near the interface impacted by incident steady SH-wave, is constructed based upon the symmetry of SH-wave scattering and the method of multi-polar coordinates. Furthermore the problem can be summarized to the scattering of SH-wave by a semi-infinite piezoelectric medium with a cavity near the interface with the help of this wave function. Then the scattering of time harmonic SH-wave and the dynamic stress concentrations in a piezoelectric medium with a cavity near the interface are studied with the help of complex variable function theory and wave function developing method. The theoretical analyses reveal how the stress fields depend upon the intensity of incident wave and electric field, as well as the ratio of the distance between the cavity's center and the interface to the cavity's radius.