Accurate analytical weight function solutions for crack at edge of circular hole in infinite plate

作者：Zhao, Xiaochen; Wu, Xueren; Tong, Dihua; Xu, Wu; Chen, Bo; Hu, Benrun

来源：Acta Aeronautica et Astronautica Sinica, 2018, 39(9): 221976.

DOI：10.7527/S1000-6893.2018.21976

• Circular holes
• Complex taylor series expansions
• Continuous functions
• Crack opening displacements
• Mechanical parameters
• Residual stress fields
• Weight function method
• Weight function solutions

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.

• 出版日期2018
• 单位上海交通大学