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Adaptive Finite Element Modeling of Fatigue Crack Propagation

Received: 24 May 2013    Accepted:     Published: 10 June 2013
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Abstract

An adaptive finite element interactive program has been developed for fatigue crack propagation simulation under constant amplitude loading condition. The purpose of this model is on the determination of 2D crack paths and surfaces as well as on the evaluation of components Lifetimes as a part of the damage tolerant assessment. As part of a linear elastic fracture mechanics analysis, the determination of the stress intensity factor distribution is a crucial point. The fatigue crack direction and the corresponding stress-intensity factors are estimated at each small crack increment by employing the J-integral technique. The propagation is modeled by successive linear extensions, which are determined by the stress intensity factors under linear elastic fracture mechanics assumption. The stress intensity factors range history has to be recorded along the small crack increments. Upon completion of the stress intensity factors range history recording, fatigue crack propagation life of the examined specimen is predicted. Verification of the predicted fatigue life is validated with relevant experimental data and numerical results obtained by other researchers. The comparisons show that this model is capable of demonstrating the fatigue life prediction results as well as the fatigue crack path satisfactorily.

Published in International Journal of Materials Science and Applications (Volume 2, Issue 3)
DOI 10.11648/j.ijmsa.20130203.16
Page(s) 104-108
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

Finite Element, Fatigue, Crack Growth, Stress Intensity Factor, Adaptive Mesh

References
[1] Yung-Li Lee, Y.L, Pan, J., Hathaway, R. Barkey, M.E., 2005. Fatigue testing analysis theory and practice, Elsevier Butterworth–Heinemann.
[2] Portela A, Aliabadi M, Rooke D. The dual boundary element method: effective implementation for crack problem. Int J Numer Methods Eng, 1991; 33: 1269–87.
[3] Yan AM, Nguyen-Dang H. Multiple-cracked fatigue crack growth by BEM. Comput Mech 1995; 16: 273–80.
[4] Yan, X. A boundary element modeling of fatigue crack growth in a plane elastic plate. Mech Res Commun 2006; 33: 470–81.
[5] Belytschko T, Gu L, Lu YY. Fracture and crack growth by element-free Galerkin methods. Model Simul Mater Sci Eng 1994; 2: 519–34.
[6] Duflot, M., Dang, H.N. Fatigue crack growth analysis by an enriched meshless method. J Comput Appl Math 2004; 168: 155–64.
[7] Singh, I.V., Mishra, B.K., Bhattacharya, S., Patil, R.U., The numerical simulation of fatigue crack growth using extended finite element method, 2012, International Journal of Fatigue, 36, 109–119
[8] Alshoaibi M. Abdulnaser, Finite Element Procedures for the Numerical Simulation of Fatigue Crack Propagation under Mixed Mode Loading. Structural Engineering and Mechanics. 2010. Vol. 35, No.3, pp.283-299.
[9] Rice, J.R., 1968. A path independent integral and the approximate analysis of strain concentration by notches and cracks", J. App. Mech., 35, pp.379-386.
[10] Knowles, J.K. and E. Sternberg, On a class of conservation laws in linearized and finite elastostatics", Archives for Rational Mechanics & Analysis, 1972, 44, pp.187-211.
[11] Atluri, S.N., 1982. Path-independent integrals in finite elasticity and inelasticity, with body forces, inertia, and arbitrary crack-face conditions", Engineering Fracture. Mechanics, 16, pp.341-364.
[12] Bittencourt, T.N., P.A. Wawrzynek, A.R. Ingraffea and J.L. Sousa, 1996. Quasi-automatic simulation of crack propagation for 2D LEFM problems. Engineering Fractrue Mechanics, Volume 55, pp. 321-334.
[13] Erdogan, F. and G. Sih, 1963. On the crack extension in plates under plane loading and transverse shear. Journal of Basic Engineering 85: 519–27.
[14] Cho, J.U, Xie, L., Cho, C., Lee, S., 2012. Crack propagation of CCT foam specimen under low strain rate fatigue. International Journal of Fatigue, 35, pp. 23–30
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  • APA Style

    Abdulnaser M. Alshoaibi. (2013). Adaptive Finite Element Modeling of Fatigue Crack Propagation. International Journal of Materials Science and Applications, 2(3), 104-108. https://doi.org/10.11648/j.ijmsa.20130203.16

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    ACS Style

    Abdulnaser M. Alshoaibi. Adaptive Finite Element Modeling of Fatigue Crack Propagation. Int. J. Mater. Sci. Appl. 2013, 2(3), 104-108. doi: 10.11648/j.ijmsa.20130203.16

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    AMA Style

    Abdulnaser M. Alshoaibi. Adaptive Finite Element Modeling of Fatigue Crack Propagation. Int J Mater Sci Appl. 2013;2(3):104-108. doi: 10.11648/j.ijmsa.20130203.16

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  • @article{10.11648/j.ijmsa.20130203.16,
      author = {Abdulnaser M. Alshoaibi},
      title = {Adaptive Finite Element Modeling of Fatigue Crack Propagation},
      journal = {International Journal of Materials Science and Applications},
      volume = {2},
      number = {3},
      pages = {104-108},
      doi = {10.11648/j.ijmsa.20130203.16},
      url = {https://doi.org/10.11648/j.ijmsa.20130203.16},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmsa.20130203.16},
      abstract = {An adaptive finite element interactive program has been developed for fatigue crack propagation simulation under constant amplitude loading condition. The purpose of this model is on the determination of 2D crack paths and surfaces as well as on the evaluation of components Lifetimes as a part of the damage tolerant assessment. As part of a linear elastic fracture mechanics analysis, the determination of the stress intensity factor distribution is a crucial point. The fatigue crack direction and the corresponding stress-intensity factors are estimated at each small crack increment by employing the J-integral technique. The propagation is modeled by successive linear extensions, which are determined by the stress intensity factors under linear elastic fracture mechanics assumption. The stress intensity factors range history has to be recorded along the small crack increments. Upon completion of the stress intensity factors range history recording, fatigue crack propagation life of the examined specimen is predicted. Verification of the predicted fatigue life is validated with relevant experimental data and numerical results obtained by other researchers. The comparisons show that this model is capable of demonstrating the fatigue life prediction results as well as the fatigue crack path satisfactorily.},
     year = {2013}
    }
    

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  • TY  - JOUR
    T1  - Adaptive Finite Element Modeling of Fatigue Crack Propagation
    AU  - Abdulnaser M. Alshoaibi
    Y1  - 2013/06/10
    PY  - 2013
    N1  - https://doi.org/10.11648/j.ijmsa.20130203.16
    DO  - 10.11648/j.ijmsa.20130203.16
    T2  - International Journal of Materials Science and Applications
    JF  - International Journal of Materials Science and Applications
    JO  - International Journal of Materials Science and Applications
    SP  - 104
    EP  - 108
    PB  - Science Publishing Group
    SN  - 2327-2643
    UR  - https://doi.org/10.11648/j.ijmsa.20130203.16
    AB  - An adaptive finite element interactive program has been developed for fatigue crack propagation simulation under constant amplitude loading condition. The purpose of this model is on the determination of 2D crack paths and surfaces as well as on the evaluation of components Lifetimes as a part of the damage tolerant assessment. As part of a linear elastic fracture mechanics analysis, the determination of the stress intensity factor distribution is a crucial point. The fatigue crack direction and the corresponding stress-intensity factors are estimated at each small crack increment by employing the J-integral technique. The propagation is modeled by successive linear extensions, which are determined by the stress intensity factors under linear elastic fracture mechanics assumption. The stress intensity factors range history has to be recorded along the small crack increments. Upon completion of the stress intensity factors range history recording, fatigue crack propagation life of the examined specimen is predicted. Verification of the predicted fatigue life is validated with relevant experimental data and numerical results obtained by other researchers. The comparisons show that this model is capable of demonstrating the fatigue life prediction results as well as the fatigue crack path satisfactorily.
    VL  - 2
    IS  - 3
    ER  - 

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Author Information
  • Department of Mechanical Engineering, Jazan University, Jazan, Kingdom of Saudi Arabia

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