Xj. Zheng et al., CALCULATION OF STRESS INTENSITY FACTORS FOR SEMIELLIPTIC CRACKS IN A THICK-WALL CYLINDER, International journal of pressure vessels and piping, 62(3), 1995, pp. 249-258
Weight functions for the surface and the deepest point of an internal
semielliptical crack in a thick-wall cylinder were derived from a gene
ral weight function and two reference stress intensity factors. For se
veral linear and nonlinear crack face stress fields, the weight functi
ons were validated against finite element data. Stress intensity facto
rs were also calculated for the Lame through the thickness stress dist
ribution induced by internal pressure. The weight functions appear to
be particularly suitable for fatigue and fracture analysis of surface
semielliptical cracks in complex stress fields. All stress intensity f
actor expressions given in the paper are valid for cylinders with an i
nner radius to wall thickness ratio, R(i)/t = 4.