Y. Shindo et al., TORSIONAL SINGULAR STRESSES IN A THICK-WALLED SPHERICAL-SHELL WITH A CIRCUMFERENTIAL EDGE CRACK, International journal of pressure vessels and piping, 56(1), 1993, pp. 53-67
This paper considers the elastostatic torsion problem for a thick-wall
ed spherical shell containing an internal or external circumferential
edge crack. Using an integral transform technique, we obtain a singula
r integral equation of the first kind which has a generalized Cauchy k
ernel as the dominant part. The integral equation is solved numericall
y, and the influence of the geometrical configuration on the stress in
tensity factor is shown graphically in detail.