Solution of multiple crack problem in a finite plate using an alternating method based on two kinds of integral equation

This paper investigates a solution of multiple crack problem in a finite plate using an alternating method. The finite plate with cracks is an overlapping region of two regions: namely the infinite region exterior to the cracks and the finite region interior to finite plate without cracks. It is assumed that the cracks are applied by some loading and edges of the finite plate are of traction free. Governing equations for the problem and an alternating method are suggested. In the iteration, we need to solve two boundary value problems. One is the multiple crack problem in an infinite plate, and the other is the boundary value problem for the finite plate without crack. Several numerical examples are provided to prove the effectiveness of the suggested method.