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

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Abstract

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 a–n 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.

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Abbreviations

\(a\) :

Crack length

a 0 :

Initial crack length

a c :

Final crack length

\(c\) :

Material constant of the Paris

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

Material constant after improved

\(f\) :

Fatigue crack opening function

\(K\) :

Stress intensity factor

K c :

Fracture toughness

\(n\) :

Material constant of the Paris

N:

Life

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

Material constant after improved

R :

Stress ratio

\(w\) :

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

β :

Shape factor

σ :

Stress

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Funding

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).

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Authors and Affiliations

  1. Light Alloy Research Institute, Central South University, Changsha, 410012, China

    Yashi Liao

  2. School of Mechanical and Electrical Engineering, Central South University, Changsha, 410083, China

    Yibo Li, Minghui Huang, Jian Li & Yang Pan

Authors
  1. Yashi Liao
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  2. Yibo Li
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  3. Minghui Huang
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  4. Jian Li
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  5. Yang Pan
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Correspondence to Yibo Li.

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Liao, Y., Li, Y., Huang, M. et al. Residual Fatigue Life Analysis of Cracked Aluminum Lithium Alloy Plates Repaired with Titanium Alloy Patches for Different Sizes. J Fail. Anal. and Preven. 19, 258–269 (2019). https://doi.org/10.1007/s11668-019-00579-0

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  • DOI: https://doi.org/10.1007/s11668-019-00579-0

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