Elastic interaction of dislocations with a crack in a disk

Under the assumption of linear elasticity numerical solutions of stress field for a circular disk containing a dislocation dipole and a traction-free straight crack are obtained in this paper. The disk may be subjected to self-balanced external forces. The analysis based on solving a system of linear algebraic equations establishes a semianalytic relation between the disk geometry and the stress intensity factor (SIF) at the crack tip. Some typical results are exemplified graphically.