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Modeling and analysis of the dynamic behavior of piezoelectric bimaterials containing interacting interface crack and a circular cavity

Dong Li, Huicong Wang, Tianshu Song

This study is concerned with the treatment of the dynamic behavior of piezoelectric bimaterials containing interacting interface crack and circular cavity under time-harmonic anti-plane shearing. The exact electric boundary conditions at the edge of the circular cavity and the permeable conditions at the crack surface are used to enable the treatment. The theoretical solutions of the problemare formulated using GreenÂ’s function method and conjunction technique. The resulting Fredholm integral equations are solved using the direct discrete method to provide the dynamic stress and electric fields. Numerical examples are provided to show the effect of the geometry parameters, the piezoelectric constants of the material and the frequency of the incident wave upon the dynamic stress concentration. The results show the significant effect of electromechanical coupling upon local stress distribution