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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