Influence of polarization on two unequal semi-permeable cracks in a piezoelectric media

Abstract

In this paper, the influence of arbitrary poling direction on a cracked piezoelectric medium is studied. For this purpose, an infinite piezoelectric plate cut along to equal semipermeable collinear cracks is considered. Stroh’s formalism and complex variable technique are used to formulate the problem. The closed-form analytical expressions are derived for the various fracture parameters viz. crack opening displacement, crack opening potential drop, intensity factors, and energy release rate. Moreover, the quadratic equation is derived to find the electric displacement inside the crack gap media. For a poled PZT-5H ceramic plate, an illustrative numerical investigation is implemented to demonstrate the effect of arbitrary polarization on the various fracture parameters.