Abstract

A closed form solution of the Stress Intensity Factor (SIF) for stiffened flat sheets, typically used in aircraft construction, in Multiple Site Damage (MSD) conditions, has been developed. The well-known theory of complex variable functions has been used, through the application of functions specifically developed for the case of cracks equally spaced and of equal length. Moreover, the superposition principle has been applied to evaluate the compression loads transmitted by the stringers through the rivets, by imposing the equilibrium on the crack free surfaces and the compatibility of displacements between sheet and stringers at the rivets location. The results have been compared with solutions available in the literature, obtained by combination of various analytical techniques and experimental methodologies, showing a good agreement. The proposed method is a reference for the validation of other numerical or analytical methods and effectively can replace the Finite Element Method for simple geometries.

Highlights

  • In 1988, an Aloha Airlines Boeing 737 lost a large portion of the fuselage when the aircraft reached its cruising altitude of 24,000 ft

  • The collapse was produced by the simultaneous presence of several cracks in a fuselage riveted joint (Multiple Site Damage: MSD)

  • The occurrence of Widespread Fatigue Damage (WFD), as in the case of the Aloha Airlines flight, poses a risk that the analyses can be invalidated over time due to the simultaneous presence of flaws within a structure

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Summary

Introduction

In 1988, an Aloha Airlines Boeing 737 lost a large portion of the fuselage when the aircraft reached its cruising altitude of 24,000 ft. The occurrence of Widespread Fatigue Damage (WFD), as in the case of the Aloha Airlines flight, poses a risk that the analyses can be invalidated over time due to the simultaneous presence of flaws within a structure. This problem produced the introduction of revised requirements to take into account in the fatigue life evaluation, among others, the effect of corrosion or repairs, as may happen in aging aircraft [3]. A sample calculation on a stiffened flat sheet was conducted, confirming the effectiveness of the results

SIF Evaluation by the Complex Variable Functions Method
AIMS Materials Science
Coefficient of Influence Bi
Coefficient of Influence Aij
Coefficient of Influence Bjs
Coefficient of Influence Aisj
Example of SIF Calculation
Findings
Conclusion
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