"Stresses near a circular crack in a half space"

Abstract

Solutions are presented for a circular crack embedded in a semi-infinite solid and for a part circular crack in the surface of a semi-infinite solid. The stresses in the neighborhood of the crack were found by a superposition and iteration technique. Recurrence relationships and series solutions for some integrals involving Bessel functions were derived to facilitate the computations. A computer program was written to compute the stresses and stress intensity factor for two types of normal loading and for several crack geometries.