Research Article | | Peer-Reviewed

Validity of Laws for Predicting Lifespan of Welded Points Under Variable Loading

Received: 25 September 2024     Accepted: 15 October 2024     Published: 11 November 2024
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Abstract

The article examines the validity of the laws for predicting the life of welded points under variable amplitude loading, using three steels (HE360D, XE360D and XES) supplied by ArcelorMittal to Renault for the manufacture of automobile chassis parts. The fatigue tests revealed two modes of failure: cracking of the sheets at medium stresses and shearing of the molten core at high forces. For lifespan prediction, three damage laws were studied: Miner's law, Mesmacque and Amrouche law, and a proposed model. Miner's law, despite its simplicity and wide distribution, shows notable limitations in the presence of variable loads, because it does not take into account the interactions between successive load levels. The law of Mesmacque and Amrouche uses a damage indicator linked to the FN curve of the material, allowing a cycle by cycle estimation of the residual lifespan. However, it remains non-conservative at low effort. The proposed model, based on Chaboche law, overcomes some of its theoretical drawbacks, notably the dependence on the calibration parameters of the SN curve. By fitting this curve within a specific calibration window, the model improves forecast accuracy by taking into account parameter variability. This proposed model provides more reliable lifespan predictions that better correlate with experimental results, especially for low effort levels where Miner's law fails. The validation approach is based on comparing the predictions of the damage laws with the experimental results, by evaluating the deviation from the first bisector of the graphs. The results show that Miner's law is unsuitable for effort levels, while the proposed model turns out to be the most precise and conservative. The law of Mesmacque and Amrouche falls between the two, presenting a certain justice but remaining overall non-conservative. In conclusion, the proposed model offers a better match with experimental data, making its predictions more reliable for industrial applications.

Published in American Journal of Energy Engineering (Volume 12, Issue 4)
DOI 10.11648/j.ajee.20241204.11
Page(s) 80-93
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Materials Tested, Modes of Failure, Fatigue Tests, Damage Laws, Lifespan Prediction, Validation of Laws

References
[1] CHABOCHE J. L. A differential law of fatigue damage with nonlinear accumulation. Revue Française de Mécanique 50-51, 1974.
[2] D. Wel-Doret, Reliable Design of Welded Joints Under Variable Amplitude Loading, Thesis, University of N’Djamena, Chad, 2024.
[3] Nadjitonon, N., Contribution to the modeling of fatigue damage, Doctoral dissertation, Blaise Pascal University, 2010.
[4] ROSSILLON F. Influence des conditions de soudage sur le comportement en fatigue d’un acier THR Dual Phase soudé par point. Thèse de l’Université Blaise Pascal – Clermont II, Clermont-Ferrand, Clermont-Ferrand, 2007.
[5] YOUSEFI F., M. WITT and H. ZENNER, Fatigue strength of welded joints under multiaxial loading: experiments and cal-culations, Fatigue and Fracture of Engineering Materials and Structures, Vol. 24, pp. 339-355, 2001.
[6] BLONDEAU R. Metallurgy and mechanics of welding, Mechanics and Materials Engineering, Edition Lavoisier, 2001.
[7] B. Tikri, Study of the influence of overloads on the fatigue behavior of spot-welded steels, Thesis, Blaise Pascal University - Clermont-Ferrand, France, 2012.
[8] TIKRI B. Study and improvement of the non-linear damage law of Chaboche, Master 2 Research, Blaise Pascal University - Clermont II, Clermont-Ferrand, 2007.
[9] MESMACQUE G., GARCIA S., AMROUCHE A., RUBIO-GONZALEZ C. Sequential law in multiaxial fatigue, a new damage indicator, International Journal of Fatigue, 2004.
[10] MINER M. A. Cumulative Damage in Fatigue. Journal of Applied Mechanics, September 1945, p. A-159/A-164.
[11] WEBER B. Multiaxial Fatigue of Industrial Structures under Any Load, Thesis of INSA de Lyon, Lyon, 1999.
[12] Boutich O., Belmadi N. E., Etude comparative des critères de fatigue multiaxiale appliquée à des pièces traitées superficiellement. (Mémoire de master, University Abdlhamid Ibn Badis Mostaganem, (2022).
[13] D. Wel-Doret, Influence of residual stresses on the service life of structures under variable amplitude loading, International Journal of Innovation and Applied Studies, 39 (2), pp. 667-675, 2023.
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  • APA Style

    Tikri, B., Wel-Doret, D., Dao, D. (2024). Validity of Laws for Predicting Lifespan of Welded Points Under Variable Loading. American Journal of Energy Engineering, 12(4), 80-93. https://doi.org/10.11648/j.ajee.20241204.11

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    ACS Style

    Tikri, B.; Wel-Doret, D.; Dao, D. Validity of Laws for Predicting Lifespan of Welded Points Under Variable Loading. Am. J. Energy Eng. 2024, 12(4), 80-93. doi: 10.11648/j.ajee.20241204.11

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    AMA Style

    Tikri B, Wel-Doret D, Dao D. Validity of Laws for Predicting Lifespan of Welded Points Under Variable Loading. Am J Energy Eng. 2024;12(4):80-93. doi: 10.11648/j.ajee.20241204.11

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  • @article{10.11648/j.ajee.20241204.11,
      author = {Bianzeube Tikri and Djonglibet Wel-Doret and Dougabka Dao},
      title = {Validity of Laws for Predicting Lifespan of Welded Points Under Variable Loading
    },
      journal = {American Journal of Energy Engineering},
      volume = {12},
      number = {4},
      pages = {80-93},
      doi = {10.11648/j.ajee.20241204.11},
      url = {https://doi.org/10.11648/j.ajee.20241204.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajee.20241204.11},
      abstract = {The article examines the validity of the laws for predicting the life of welded points under variable amplitude loading, using three steels (HE360D, XE360D and XES) supplied by ArcelorMittal to Renault for the manufacture of automobile chassis parts. The fatigue tests revealed two modes of failure: cracking of the sheets at medium stresses and shearing of the molten core at high forces. For lifespan prediction, three damage laws were studied: Miner's law, Mesmacque and Amrouche law, and a proposed model. Miner's law, despite its simplicity and wide distribution, shows notable limitations in the presence of variable loads, because it does not take into account the interactions between successive load levels. The law of Mesmacque and Amrouche uses a damage indicator linked to the FN curve of the material, allowing a cycle by cycle estimation of the residual lifespan. However, it remains non-conservative at low effort. The proposed model, based on Chaboche law, overcomes some of its theoretical drawbacks, notably the dependence on the calibration parameters of the SN curve. By fitting this curve within a specific calibration window, the model improves forecast accuracy by taking into account parameter variability. This proposed model provides more reliable lifespan predictions that better correlate with experimental results, especially for low effort levels where Miner's law fails. The validation approach is based on comparing the predictions of the damage laws with the experimental results, by evaluating the deviation from the first bisector of the graphs. The results show that Miner's law is unsuitable for effort levels, while the proposed model turns out to be the most precise and conservative. The law of Mesmacque and Amrouche falls between the two, presenting a certain justice but remaining overall non-conservative. In conclusion, the proposed model offers a better match with experimental data, making its predictions more reliable for industrial applications.
    },
     year = {2024}
    }
    

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  • TY  - JOUR
    T1  - Validity of Laws for Predicting Lifespan of Welded Points Under Variable Loading
    
    AU  - Bianzeube Tikri
    AU  - Djonglibet Wel-Doret
    AU  - Dougabka Dao
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    DO  - 10.11648/j.ajee.20241204.11
    T2  - American Journal of Energy Engineering
    JF  - American Journal of Energy Engineering
    JO  - American Journal of Energy Engineering
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    EP  - 93
    PB  - Science Publishing Group
    SN  - 2329-163X
    UR  - https://doi.org/10.11648/j.ajee.20241204.11
    AB  - The article examines the validity of the laws for predicting the life of welded points under variable amplitude loading, using three steels (HE360D, XE360D and XES) supplied by ArcelorMittal to Renault for the manufacture of automobile chassis parts. The fatigue tests revealed two modes of failure: cracking of the sheets at medium stresses and shearing of the molten core at high forces. For lifespan prediction, three damage laws were studied: Miner's law, Mesmacque and Amrouche law, and a proposed model. Miner's law, despite its simplicity and wide distribution, shows notable limitations in the presence of variable loads, because it does not take into account the interactions between successive load levels. The law of Mesmacque and Amrouche uses a damage indicator linked to the FN curve of the material, allowing a cycle by cycle estimation of the residual lifespan. However, it remains non-conservative at low effort. The proposed model, based on Chaboche law, overcomes some of its theoretical drawbacks, notably the dependence on the calibration parameters of the SN curve. By fitting this curve within a specific calibration window, the model improves forecast accuracy by taking into account parameter variability. This proposed model provides more reliable lifespan predictions that better correlate with experimental results, especially for low effort levels where Miner's law fails. The validation approach is based on comparing the predictions of the damage laws with the experimental results, by evaluating the deviation from the first bisector of the graphs. The results show that Miner's law is unsuitable for effort levels, while the proposed model turns out to be the most precise and conservative. The law of Mesmacque and Amrouche falls between the two, presenting a certain justice but remaining overall non-conservative. In conclusion, the proposed model offers a better match with experimental data, making its predictions more reliable for industrial applications.
    
    VL  - 12
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    ER  - 

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