Three-dimensional weight function analyses and stress intensity factors for two eccentric and asymmetric surface cracks and surface-corner cracks at a circular hole.

• Accurate and wide-range weight functions of an eccentric crack in a finite sheet with constrained lateral edges are derived. • 3D weight function methods for two eccentric and asymmetric hole-edge surface and corner cracks are established. • The presented approach is accurate and much faster than FEM for SIF calculation. • The present SSWFM can be used to obtain 3D SIFs of most of the surface and surface-corner crack originating from a hole. Stress intensity factors (SIFs) of two eccentric and asymmetric surface cracks and surface-corner cracks at a hole are rare in the literature, since the problem is too complicated to be tackled by analytical methods and too costly by numerical approaches. A 3D slice synthesis weight function method (SSWFM) is developed to compute their 3D SIFs. The results agree well with those from finite element method (FEM). The SSWFM is about 450 times faster in calculation of the SIFs than FEM/Franc3D, and is very useful for 3D fatigue crack growth analyses of complicated surface and corner cracks at a hole. [ABSTRACT FROM AUTHOR]