Solid Mechanics and Vehicle Conceptual Design

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

  • ZHAO Xiaochen ,
  • WU Xueren ,
  • TONG Dihua ,
  • XU Wu ,
  • CHEN Bo ,
  • HU Benrun
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  • 1. AECC Beijing Institute of Aeronautical Materials, Beijing 100095, China;
    2. School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China

Received date: 2017-12-29

  Revised date: 2018-03-14

  Online published: 2018-05-15

Supported by

National Natural Science Foundation of China (11402249)

Abstract

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.

Cite this article

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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