Research on the stress intensity factor calculation of multi-elliptical hole-edge crack

For the long-serving aircraft, the holes in the overlap of the aircraft skin will change from circular holes to elliptical holes under the action of load. It is of great significance to calculate and analyse the stress intensity factor of the multi-elliptical hole-edge crack for the fracture mechanics analysis. This paper used the analytical calculation methods of finite truncation method and residue method. Both methods are based on the theory of complex function and combined with the approximate superposition method to calculate the stress intensity factors of cracks on the edge of multiple elliptical holes. Take the infinite plate with symmetrical cracks at the edge of two collinear elliptical holes as the research object. Calculate the stress intensity factors of the cracks at the edge of elliptical holes under different modes such as different semi-axial ratios and different hole spacings. The results show the residue method is more concise than the finite truncation method in calculating stress intensity factors for multiple elliptical holes, and the calculation error is smaller and the calculation efficiency is higher.

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Publication Details

Journal
Mathematics and Mechanics of Solids
Published
2024-10-03
DOI
https://doi.org/10.1177/10812865241279977
Primary Topic
Fatigue and fracture mechanics
Type
article
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Research on the stress intensity factor calculation of multi-elliptical hole-edge crack

Qun Chao Zhao, D. Cui, Miao Lv, Jinfang Zhao
Mathematics and Mechanics of Solids
Fatigue and fracture mechanics
article

Research on the stress intensity factor calculation of multi-elliptical hole-edge crack

Qun Chao Zhao, D. Cui, Miao Lv, Jinfang Zhao
article en

Abstract

For the long-serving aircraft, the holes in the overlap of the aircraft skin will change from circular holes to elliptical holes under the action of load. It is of great significance to calculate and analyse the stress intensity factor of the multi-elliptical hole-edge crack for the fracture mechanics analysis. This paper used the analytical calculation methods of finite truncation method and residue method. Both methods are based on the theory of complex function and combined with the approximate superposition method to calculate the stress intensity factors of cracks on the edge of multiple elliptical holes. Take the infinite plate with symmetrical cracks at the edge of two collinear elliptical holes as the research object. Calculate the stress intensity factors of the cracks at the edge of elliptical holes under different modes such as different semi-axial ratios and different hole spacings. The results show the residue method is more concise than the finite truncation method in calculating stress intensity factors for multiple elliptical holes, and the calculation error is smaller and the calculation efficiency is higher.

Mathematics and Mechanics of SolidsVol. 30(5)
Shenyang Institute of Engineering (CN), Shenyang Aerospace University (CN)
Openalex Percentile: Top 82%
Fatigue and fracture mechanics
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Research on the stress intensity factor calculation of multi-elliptical hole-edge crack — Qun Chao Zhao, D. Cui, et al. · Mathematics and Mechanics of Solids (2024) | TGRS Research Map | TGRS