Two Parallel Cracks in a Functionally Graded Piezoelectric Strip under Electric Loading

Abstract

In this paper, the mixed-mode fracture problem of two parallel cracks in a functionally graded piezoelectric material (FGPM) strip is considered. It is assumed that the electroelastic properties of the strip vary continuously along the thickness of the strip, and that the strip is under a uniform electric loading. The crack faces are supposed to be insulated electrically. Fourier transform techniques are used to reduce the mixed boundary value problems to a system of singular integral equations. The singular integral equations are solved by using the Gauss-Jacobi integration formula. Numerical calculations are carried out, and the stress and electric displacement intensity factors are presented for various values of dimensionless parameters representing the crack size, the crack location, and the material nonhomogeneity.