Elastic analysis for a radial crack in a circular ring

The plane elastic problem corresponding to a radial crack emanating from the internal boundary of a circular ring is considered. Uniform external tension on the outer boundary is chosen as the applied load. The stress intensity factors at the crack tip are found by using the recently derived ‘modified mappingcollocation’ technique. Accurate data are found for varying crack depths over a representative range of wall ratios for fracture mechanics applications to pressurized hollow circular cylinders.