A Fourier series approach is proposed to calculate stress intensity factors using weight functions for semi-elliptical surface cracks in flat plates subjected to two-dimensional stress distributions. The weight functions were derived from reference stress intensity factors obtained by three-dimensional finite element analyses. The close form weight functions derived are suitable for the calculation of stress intensity factors for semi-elliptical surface cracks in flat plates under two-dimensional stress distributions with the crack aspect ratio in the range of 0.1 ≤a/c ≤ 1 and relative depth in the range of 0 ≤ a/t ≤ 0.8. Solutions were verified using several two-dimensional non-linear stress distributions; the maximum difference being 6%.

Additional Metadata
Keywords Stress intensity factor, Surface crack, Weight function
Persistent URL dx.doi.org/10.1111/j.1460-2695.1997.tb01517.x
Journal Fatigue and Fracture of Engineering Materials and Structures
Citation
Wang, X, & Lambert, S.B. (S. B.). (1997). Stress intensity factors and weight functions for semi-elliptical surface cracks in finite-thickness plates under two-dimensional stress distribution. Fatigue and Fracture of Engineering Materials and Structures, 20(12), 1637–1655. doi:10.1111/j.1460-2695.1997.tb01517.x