Weight function of stress intensity factor for symmetrical radial cracks emanating from hollow cylinder

Mode-I stress intensity factor (SIF) for symmetrical radial cracks emanating from hollow cylinder in an infinite plane under complex nonlinear loadings is firstly solved with the weight function method. A weight function providing wide-spectrum expressions for such fractures is developed. The weight function based SIFs are validated against different boundary collocation based SIFs. Three correlations of weight function parameters are derived for simplifying engineering applications and numerical simulations. Finally, the parameters are applied to calculate SIF of inclined crack subjected to complex nonlinear loadings in hydraulic fracturing, and show great potential in addressing cracks initiation from hollow cylinder.