Modeling and Analysis of the Dynamic Behavior for Interacting Cracks on Circular Cavities in Piezoelectric Material

The present paper is exposed theoretically to the influence on the dynamic stress intensity factor (DSIF) in the piezoelectric material model with two permeable radial cracks emanating from the edges of two circular cavities, subjected to the dynamic incident anti-plane shearing wave (SH-wave). Green's functions are established based on complex variable and wave function expansion methods. Conjunction and crack-simulation techniques are used to evaluate DSIFs at the cracks' tip. The problem is reduced to a series of Fredholm integral equations of first kind. The numerical results are obtained by solving the equations to show the influence of the structural geometry, and the wave frequencies of incident wave on the dimensionless DSIFs.