Arbitrarily Oriented Cracks in a Reinforced Sheet

The elastic interaction between a crack and a fiber is studied for various loading conditions. Generalized from earlier work by Greif and Sanders, the present formulation is valid for arbitrary relative orientation between the crack and the fiber. Helpful design information, such as the critical loading condition and the critical fiber orientation to trigger a certain failure mode, is therefore attainable. The fundamental solutions, each associated with proper parameters and proper boundary conditions, can also be superposed to model more realistic problems.