Stress intensity factors for embedded elliptical cracks in cylindrical and spherical vessels

In this paper, we give a very accurate approximation of the stress intensity factors of embedded elliptical cracks in cylindrical and spherical vessels. We evaluate the stress intensity factor along the whole crack border; we do so using a polynomial weight function based on a second order approximation of the Oore-Burns integral in terms of the deviation of the contour from a disk. The stress intensity factor is given for uniform internal pressure and is related to the hoop stress. Finally, a comparison with FE stress intensity factor is given.