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The Damage Criterion Affecting Life Prediction of Fiber-Reinforced Al–Li Alloy Laminates Under Spectrum Loading

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Abstract

Fiber metal laminates, as the new generation of aircraft structural materials, are widely concerned by material researcher. This paper presents a study on the life prediction problems of fiber-reinforced Al–Li alloy laminates under spectrum loading by applying the cumulative damage and residual strength models. Firstly, fatigue life performance of the laminate materials is tested under different loading cases. Then, the most advanced damage accumulation and residual strength models are summarized, which is applied to composite laminates. Some models are directly abandoned because the data needed for fitting model cannot be obtained by this experiment or the model formulation is prevented directly to the application for the spectrum blocks with free loading. Meanwhile, a cumulative damage model considering residual strength is modified accordingly based on the characteristics of life prediction under spectrum loading. To study the impacts of these models on the fatigue life prediction for fiber reinforced Al–Li alloy laminate under spectrum loading, the predicted accuracy of these models will be compared by applying them to life prediction problems of 2/1 laminate and 3/2 laminate. Results show that compared with other models, modified model improves the prediction accuracy especially for 3/2 laminate.

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Data Availability

The figures and tables data used to support the findings of this study are included within the article, and the article permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abbreviations

FMLs:

Fiber metal laminates

UTS:

Ultimate tensile strength

UCS:

Ultimate compression strength

PM:

Palmgren–Miner

N i :

Fatigue life corresponding to stress cycle si under the ith

s i :

Cycle stress under the ith

ith:

The ith loading block

WAR:

Weighted average range

\(\sigma_{{{\text{eq}}}}\) :

Equivalent stress

\(\sigma_{{\max_{i} }}\) :

Maximum stress under the ith

m:

Number of constant amplitude loading block in spectrum loading

ni :

Number of cycles stress under the ith

\(\sigma_{0}\) and k :

S–N curve parameters

BF:

Bond and Farrow

BS:

Broutman and Sahu

\(S\left( 0 \right)\) :

Static strength of materials

\(S_{{\text{r}}}\) :

Residual strength after \( n_{i}\) cycles under maximum stress \(\sigma_{\max ,i}\)

\(\sigma_{{\text{p}}}\) :

Peak stress

\(\sigma_{{\text{v}}}\) :

Valley stress

Mod-model:

Modified model

exp data:

Experiment data

MVF:

Metal volume fraction

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Acknowledgements

The authors gratefully acknowledge the financial supports by Natural Science Foundation of Liaoning Province [2019-BS-198], [20180540137], and Key Research and Development Plan of Liaoning Province [2019JH2/10100014].

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Authors and Affiliations

  1. School of Mechanical Engineering, Shenyang Jianzhu University, No. 25, Hunnan Middle Road, Hunnan District, Shenyang, 110168, China

    Weiying Meng, Xiaochen Zhang, Huaitao Shi & Yu Zhang

  2. Shenyang Jianzhu University, No. 25, Hunnan Middle Road, Hunnan District, Shenyang, 110168, China

    Yupeng Li

  3. Shanghai MicroPort Medical (Group) Co., Ltd., 1601 ZhangDong Rd, ZJ Hi-Tech Park, Shanghai, 201203, China

    Xiao Lv

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  1. Weiying Meng
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  2. Yupeng Li
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  5. Yu Zhang
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Correspondence to Yupeng Li or Xiaochen Zhang.

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Meng, W., Li, Y., Zhang, X. et al. The Damage Criterion Affecting Life Prediction of Fiber-Reinforced Al–Li Alloy Laminates Under Spectrum Loading. Int. J. Aeronaut. Space Sci. 21, 984–995 (2020). https://doi.org/10.1007/s42405-020-00271-w

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