Multiple Zener-Stroh crack problem in an infinite plate

Summary.

In this paper, the multiple Zener-Stroh crack problem is studied. We choose the distributed dislocations as unknown functions in the integral equation. The crack faces are assumed to be traction free. The applied “generalized loading” for cracks is the initial displacement jump (abbreviated as IDJ), which in turn is the increment of displacement when a moving point goes around the crack in a closed loop. A system of singular integral equations is obtained. After solving the integral equations, the stress intensity factors at crack tips can be evaluated immediately. Numerical examples are given. It is found that interactions between Zener-Stroh cracks are quite different from those for the Griffith cracks, in the qualitative and quantitative aspects.