Journal of Failure Analysis and Prevention

, Volume 19, Issue 1, pp 258–269 | Cite as

Residual Fatigue Life Analysis of Cracked Aluminum Lithium Alloy Plates Repaired with Titanium Alloy Patches for Different Sizes

  • Yashi Liao
  • Yibo LiEmail author
  • Minghui Huang
  • Jian Li
  • Yang Pan
Technical Article---Peer-Reviewed


The main issues after selectively repairing an aluminum lithium alloy plate are the crack tip stress intensity factors and the residual fatigue life of the plate. Crack propagation is investigated, based on the software ABAQUS. Stress intensity factors are estimated with the FRANC3D software. The fatigue crack growth rate is calculated with the NASGRO equation and the Paris equation. The fatigue residual life and an curve of repair structure are obtained by the post-processing under the conditions of different repair structure sizes. The study demonstrates that a structural repair having a relative length of 50%, relative width of 35.7% and relative thickness of 83.3% increased the residual fatigue life.


Aluminum lithium alloy Crack propagation FRANC3D Residual fatigue life 

List of symbols


Crack length


Initial crack length


Final crack length


Material constant of the Paris

\(c^{{\prime }}\)

Material constant after improved


Fatigue crack opening function


Stress intensity factor


Fracture toughness


Material constant of the Paris



\(n^{{\prime }}\)

Material constant after improved


Stress ratio


Plate width

\(\Delta {\text{K}}\)

Amplitude of stress intensity factor

\(\Delta K_{P}\)

Amplitude of stress intensity factor after repaired

\(\Delta K_{U}\)

Amplitude of stress intensity factor after repaired

\(\Delta K_{\mathrm{th}}\)

Threshold value of stress intensity factor


Shape factor





This research was supported by National Natural Science Foundation of China (51575535), Grants from the Project of Innovation-driven Plan in Central South University (2015CX002), Science and Technology Planning Project of Hunan Province, China (2016RS2015).

Conflict of interest

The authors declare that there is no conflict of interest regarding the publication of this paper.


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Copyright information

© ASM International 2019

Authors and Affiliations

  • Yashi Liao
    • 1
  • Yibo Li
    • 2
    Email author
  • Minghui Huang
    • 2
  • Jian Li
    • 2
  • Yang Pan
    • 2
  1. 1.Light Alloy Research InstituteCentral South UniversityChangshaChina
  2. 2.School of Mechanical and Electrical EngineeringCentral South UniversityChangshaChina

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