Multiple crack problems of antiplane elasticity in an infinite body by using fredholm integral equation approach

Two elementary solutions are present to solve the proposed problem. The first (second) elementary solution is defined as a solution that one pair of longitudinal concentrated forces is applied at a prescribed point of both edges of a single crack in infinite isotropic medium, with same magnitude and opposite direction (with same magnitude and same direction). Using the two elementary solutions and the principle of superposition, we found the proposed problem can be easily converted into a system of Fredholm integral equations. The system is solved numerically and SIF values at the crack tips can be easily calculated. Several numerical examples are given.