Analysis of Two Anti Plane Shear Collinear Cracks in a Porous Piezoelectric Layer Bonded between Two Elastic Half-Spaces

Abstract

In this paper, an analysis of two collinear anti-plane shear cracks in a porous piezoelectric layer bonded with two similar elastic half-spaces is done. The impermeable crack face conditions are considered. Using Fourier transform, the problem is reduced to three pairs of integral equations. The displacement and electric potentials are expanded as a series of Jacobi polynomials and then the integral equations are solved by making use of Schmidt's method. The analytic expressions, for the intensity factors at the right and left end of the crack, are obtained. A particular case for the piezoelectric layer is also discussed in which the expressions for the intensity factors for the cracks in a piezoelectric layer are derived. Numerical calculations are made to show the effects of geometry and position of cracks on the stress intensity factors and electric displacement intensity factors.