American Journal of Mechanical and Industrial Engineering

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A Multiaxial Variable Amplitude Fatigue Life Prediction Method Based on a Plane Per Plane Damage Assessment

Received: 23 June 2018    Accepted: 19 July 2018    Published: 17 August 2018
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Abstract

A multiaxial variable amplitude fatigue life prediction method is proposed in this paper. Three main steps are distinguished. The first one concerns the counting of multiaxial cycles and uses the normal stress to a physical plane as the counting parameter. Then a multiaxial finite fatigue life criterion allows one to assess the material life corresponding to each cycle on any physical plane. A damage law and its cumulation rule describe the damage induced by each cycle plane per plane. By this way the critical plane for a given multiaxial stress history is found out. It is assumed to be the fracture plane and the fatigue life of the material is traduced as the number of repetitions of the sequence up to crack initiation. At this stage, material fatigue criteria and linear and nonlinear damage laws assume that the material is damaged. One distinguishes among these criteria critical plan type whose formalism can identify the crack initiation plan. An application is given for each load. In the context of multiaxial solicitations of variable amplitude, a validation of the estimation of the orientations of the priming planes is carried out based on experimental results on cruciform test pieces; the estimated orientations are close to those observed experimentally.

DOI 10.11648/j.ajmie.20180304.12
Published in American Journal of Mechanical and Industrial Engineering (Volume 3, Issue 4, July 2018)
Page(s) 47-54
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

Multiaxial Fatigue, Variable Amplitude, Fatigue Life, Damage Law, Cycle Counting

References
[1] Carpinteri A., Spagnoli A., Critical plane criterion for fatigue life calculation: time and frequency domain formulations, 3rd International Conference on Material and Component Performance under Variable Amplitude Loading, VAL2015, 2015 pp. 518- 523.
[2] Wang C. H., Brown M. W., Life Prediction Tecliniques for Variable Amplitude Multiaxial Fatigue, Journal of Engineering Materials and Technology, 1996, Vol. 118/367.
[3] Zheng-Yong Yu, Shun-Peng Zhu, A New Energy-Critical Plane Damage Parameter for Multiaxial Fatigue Life Prediction of Turbine Blades, www.mdpi.com/journal/materials, 2017.
[4] Nicholas R. Gates, Ali Fatemi, Multiaxial variable amplitude fatigue life analysis using the critical plane approach, Part I: Un-notched specimen experiments and life estimations, International Journal of Fatigue, 2017 pp. 283–295.
[5] Yingyu Wang, Critical Plane Approach to Multiaxial Variable Amplitude Fatigue Loading, Frattura ed Integrità Strutturale, 2015 pp. 345-356.
[6] Wang, Y. and Susmel, L., The Modified Manson-Coffin Curve Method to estimate fatigue lifetime under complex constant and variable amplitude multiaxial fatigue loading. International Journal of Fatigue, 2016, pp. 135-149.
[7] Bannantine, J. A. and Socie, D. F., A variable amplitude multiaxial fatigue life prediction method. In Fatigue under Biaxial and Multiaxial Loading, ESIS 10, ed. K. Kussmaul, D. McDiarmid and D. F. Socie. Mechanical Engineering Publications, London, 1991, pp. 35-51.
[8] Miner, M. A., Cumulative damage in fatigue, Journal of Applied Mechanics, 1945, pp. 159-164.
[9] Zhi Yong Huang, Danièle Wagner, Claude Bathias, Jean Louis Chaboche, Cumulative fatigue damage in low cycle fatigue and gigacycle fatigue for low carbon-manganese steel, 2018.
[10] Jan Papuga, Quest for fatigue limit prediction under multiaxial loading, Procedia Engineering, 5th Fatigue Design Conference, Fatigue Design 2013.
[11] Robert, J. L., Fogue, M. and Bahuaud, J., Fatigue life prediction under periodical or random multiaxial stress states. In Automation in Fatigue and Fracture: Testing and Analysis, ASTM STP 1231, ed. C. Amzallag. ASTM, Philadelphia, 1994, pp. 369-387.
Author Information
  • Department of Mechanical Engineering, Polytechnic University of Mongo, Mongo, Chad

  • Department of Mechanical Engineering, Clermont Auvergne University, Clermont-Ferrand, France

  • Department of Metallurgical and Materials Engineering, ARCELORMITTAL Maizieres Research, Maizieres-Les-Metz, France

  • Department of Mechanical Engineering, Clermont Auvergne University, Clermont-Ferrand, France

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  • APA Style

    Bianzeube Tikri, Fabienne Fennec, Bastien Weber, Jean-Louis Robert. (2018). A Multiaxial Variable Amplitude Fatigue Life Prediction Method Based on a Plane Per Plane Damage Assessment. American Journal of Mechanical and Industrial Engineering, 3(4), 47-54. https://doi.org/10.11648/j.ajmie.20180304.12

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    ACS Style

    Bianzeube Tikri; Fabienne Fennec; Bastien Weber; Jean-Louis Robert. A Multiaxial Variable Amplitude Fatigue Life Prediction Method Based on a Plane Per Plane Damage Assessment. Am. J. Mech. Ind. Eng. 2018, 3(4), 47-54. doi: 10.11648/j.ajmie.20180304.12

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    AMA Style

    Bianzeube Tikri, Fabienne Fennec, Bastien Weber, Jean-Louis Robert. A Multiaxial Variable Amplitude Fatigue Life Prediction Method Based on a Plane Per Plane Damage Assessment. Am J Mech Ind Eng. 2018;3(4):47-54. doi: 10.11648/j.ajmie.20180304.12

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  • @article{10.11648/j.ajmie.20180304.12,
      author = {Bianzeube Tikri and Fabienne Fennec and Bastien Weber and Jean-Louis Robert},
      title = {A Multiaxial Variable Amplitude Fatigue Life Prediction Method Based on a Plane Per Plane Damage Assessment},
      journal = {American Journal of Mechanical and Industrial Engineering},
      volume = {3},
      number = {4},
      pages = {47-54},
      doi = {10.11648/j.ajmie.20180304.12},
      url = {https://doi.org/10.11648/j.ajmie.20180304.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajmie.20180304.12},
      abstract = {A multiaxial variable amplitude fatigue life prediction method is proposed in this paper. Three main steps are distinguished. The first one concerns the counting of multiaxial cycles and uses the normal stress to a physical plane as the counting parameter. Then a multiaxial finite fatigue life criterion allows one to assess the material life corresponding to each cycle on any physical plane. A damage law and its cumulation rule describe the damage induced by each cycle plane per plane. By this way the critical plane for a given multiaxial stress history is found out. It is assumed to be the fracture plane and the fatigue life of the material is traduced as the number of repetitions of the sequence up to crack initiation. At this stage, material fatigue criteria and linear and nonlinear damage laws assume that the material is damaged. One distinguishes among these criteria critical plan type whose formalism can identify the crack initiation plan. An application is given for each load. In the context of multiaxial solicitations of variable amplitude, a validation of the estimation of the orientations of the priming planes is carried out based on experimental results on cruciform test pieces; the estimated orientations are close to those observed experimentally.},
     year = {2018}
    }
    

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    T1  - A Multiaxial Variable Amplitude Fatigue Life Prediction Method Based on a Plane Per Plane Damage Assessment
    AU  - Bianzeube Tikri
    AU  - Fabienne Fennec
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    AU  - Jean-Louis Robert
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    DO  - 10.11648/j.ajmie.20180304.12
    T2  - American Journal of Mechanical and Industrial Engineering
    JF  - American Journal of Mechanical and Industrial Engineering
    JO  - American Journal of Mechanical and Industrial Engineering
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    EP  - 54
    PB  - Science Publishing Group
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    AB  - A multiaxial variable amplitude fatigue life prediction method is proposed in this paper. Three main steps are distinguished. The first one concerns the counting of multiaxial cycles and uses the normal stress to a physical plane as the counting parameter. Then a multiaxial finite fatigue life criterion allows one to assess the material life corresponding to each cycle on any physical plane. A damage law and its cumulation rule describe the damage induced by each cycle plane per plane. By this way the critical plane for a given multiaxial stress history is found out. It is assumed to be the fracture plane and the fatigue life of the material is traduced as the number of repetitions of the sequence up to crack initiation. At this stage, material fatigue criteria and linear and nonlinear damage laws assume that the material is damaged. One distinguishes among these criteria critical plan type whose formalism can identify the crack initiation plan. An application is given for each load. In the context of multiaxial solicitations of variable amplitude, a validation of the estimation of the orientations of the priming planes is carried out based on experimental results on cruciform test pieces; the estimated orientations are close to those observed experimentally.
    VL  - 3
    IS  - 4
    ER  - 

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