Highly accurate Weight Functions (WFs) for the radial crack(s) at a circular hole are derived by using the Wu-Carlsson analytical Weight Function Method (WFM). Accuracy of the WFs proposed is verified and validated point-by-point by using Green's Functions (GFs) of Shivakumar-Forman and Newman, and also the Weight function Complex Taylor Series Expansion (WCTSE) method. It is shown that the WFs proposed are not only highly accurate, but also, as a continuous function for crack length, enable determination of key mechanical parameters of cracks of any length (a/R ≤ 2) under arbitrary loadings with high efficiency and accuracy. A unified approach is adopted for the derivations and expressions of WFs for single/double hole-edge crack(s). The analytical WFs proposed are also used to calculate stress intensity factors for various load cases including wedge-splitting forces at the crack mouth, crack face power stresses, and residual stress fields induced by cold-working of the circular hole.
ZHAO Xiaochen, WU Xueren, TONG Dihua, XU Wu, CHEN Bo, HU Benrun. Accurate analytical weight function solutions for crack at edge of circular hole in infinite plate[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(9): 221976-221987. DOI: 10.7527/S1000-6893.2018.21976
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