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New approach based on continuum damage mechanics with simple parameter identification to fretting fatigue life prediction

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Abstract

A new continuum damage mechanics model for fretting fatigue life prediction is established. In this model, the damage evolution rate is described by two kinds of quantities. One is associated with the cyclic stress characteristics obtained by the finite element (FE) analysis, and the other is associated with the material fatigue property identified from the fatigue test data of standard specimens. The wear is modeled by the energy wear law to simulate the contact geometry evolution. A two-dimensional (2D) plane strain FE implementation of the damage mechanics model and the energy wear model is presented in the platform of ABAQUS to simulate the evolutions of the fatigue damage and the wear scar. The effect of the specimen thickness is also investigated. The predicted results of the crack initiation site and the fretting fatigue life agree well with available experimental data. Comparisons are made with the critical plane Smith-Watson-Topper (SWT) method.

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References

  1. Hills, D. A. and Nowell, D. Mechanics of Fretting Fatigue, Kluwer Academic Publishers, Dordrecht, 1–14 (1994)

    Google Scholar 

  2. Nowell, D., Dini, D., and Hills, D. A. Recent developments in the understanding of fretting fatigue. Engineering Fracture Mechanics, 73, 207–222 (2006)

    Article  Google Scholar 

  3. Nishioka, K. and Hirakawa, K. Fundamental investigations of fretting fatigue: part 6, effects of contact pressure and hardness of materials. Bulletin of the JSME, 15, 135–144 (1972)

    Article  Google Scholar 

  4. Szolwinski, M. P. and Farris, T. N. Mechanics of fretting crack formation. Wear, 198, 93–107 (1996)

    Article  Google Scholar 

  5. Lykins, C. D., Mall, S., and Jain, V. An evaluation of parameters for predicting fretting fatigue crack initiation. International Journal of Fatigue, 22, 703–716 (2000)

    Article  Google Scholar 

  6. Araujo, J. A. and Nowell, D. The effect of rapidly varying contact stress fields on fretting fatigue. International Journal of Fatigue, 24, 763–775 (2002)

    Article  Google Scholar 

  7. Naboulsi, S. and Mall, S. Fretting fatigue crack initiation behavior using process approach and finite element analysis. Tribology International, 36, 121–131 (2003)

    Article  Google Scholar 

  8. Zhang, T., McHugh, P. E., and Leen, S. B. Finite element implementation of multiaxial continuum damage mechanics for plain and fretting fatigue. International Journal of Fatigue, 44, 260–272 (2012)

    Article  Google Scholar 

  9. Hojjati-Talemi, R. and Abdel-Wahab, M. Fretting fatigue crack initiation lifetime predictor: using damage mechanics approach. Tribology International, 60, 176–186 (2013)

    Article  Google Scholar 

  10. McColl, I. R., Ding, J., and Leen, S. B. Finite element simulation and experimental validation of fretting wear. Wear, 256, 1114–1127 (2004)

    Article  Google Scholar 

  11. Madge, J. J., Leen, S. B., and Shipway, P. H. The critical role of fretting wear in the analysis of fretting fatigue. Wear, 263, 542–551 (2007)

    Article  Google Scholar 

  12. Madge, J. J., Leen, S. B., McColl, I. R., and Shipway, P. H. Contact-evolution based prediction of fretting fatigue life: effect of slip amplitude. Wear, 262, 1159–1170 (2007)

    Article  Google Scholar 

  13. Zhang, T., McHugh, P. E., and Leen, S. B. Computational study on the effect of contact geometry on fretting behavior. Wear, 271, 1462–1480 (2011)

    Article  Google Scholar 

  14. Fouvry, S., Liskiewicz, T., Kapsa, P. H., Hannel, S., and Sauger, E. An energy description of wear mechanisms and its applications to oscillating sliding contacts. Wear, 255, 287–298 (2003)

    Article  Google Scholar 

  15. Lemaitre, J. and Chaboche, J. L. Mechanics of Solid Materials, Cambridge University Press, Cambridge (1990)

    Book  MATH  Google Scholar 

  16. Lemaitre, J. and Rodrigue D. Engineering Damage Mechanics, Springer, New York (2005)

    Google Scholar 

  17. Xiao, Y. C., Li, S., and Gao, Z. T. A continuum damage mechanics model for high cycle fatigue. International Journal of Fatigue, 20, 503–508 (1998)

    Article  Google Scholar 

  18. Fridrici, V., Fouvry, S., and Kapsa, P. H. Effect of shot peening on the fretting wear of Ti-6Al-4V. Wear, 250, 642–649 (2001)

    Article  Google Scholar 

  19. Jin, O. and Mall, S. Effects of slip on fretting behavior: experiments and analysis. Wear, 256, 671–684 (2004)

    Article  Google Scholar 

  20. Jin, O. and Mall, S. Effects of independent pad displacement on fretting fatigue behavior of Ti-6Al-4V. Wear, 253, 585–596 (2002)

    Article  Google Scholar 

  21. Jin, O. and Mall, S. Influence of contact configuration on fretting fatigue behavior of Ti-6Al-4V under independent pad displacement condition. International Journal of Fatigue, 24, 1243–1253 (2002)

    Article  Google Scholar 

  22. United States Department of Defense. Metallic Materials and Elements for Aerospace Vehicle Structures, United States Department of Defense, New York (1998)

  23. Johnson, K. L. Contact Mechanics, Cambridge University Press, Cambridge (1987)

    Google Scholar 

  24. Hibbit, Karlsson and Sorensen Inc. ABAQUS/Standard Version 6.10, User Manual, Hibbit, Karlsson and Sorensen Inc., Rhode Island (2010)

  25. Ding, J., Bandak, G., Leen, S. B., Williams, E. J., and Shipway, P. H. Experimental characterization and numerical simulation of contact evolution effect on fretting crack nucleation for Ti-6Al-4V. Tribology International, 42, 1651–1662 (2009)

    Article  Google Scholar 

  26. Mohd-Tobi, A. L., Ding, J., Bandak, G., Leen, S. B., and Shipway, P. H. A study on the interaction between fretting wear and cyclic plasticity for Ti-6Al-4V. Wear, 267, 270–282 (2009)

    Article  Google Scholar 

  27. Madge, J. J., Leen, S. B., and Shipway, P. H. The critical role of fretting wear in the analysis of fretting fatigue. Wear, 263, 542–551 (2007)

    Article  Google Scholar 

  28. Madge, J. J., Leen, S. B., McColl, I. R., and Shipway, P. H. Contact-evolution based prediction of fretting fatigue life: effect of slip amplitude. Wear, 262, 1159–1170 (2007)

    Article  Google Scholar 

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Correspondence to Weiping Hu.

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Project supported by the National Natural Science Foundation of China (No. 11002010)

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Shen, F., Hu, W. & Meng, Q. New approach based on continuum damage mechanics with simple parameter identification to fretting fatigue life prediction. Appl. Math. Mech.-Engl. Ed. 36, 1539–1554 (2015). https://doi.org/10.1007/s10483-015-2002-6

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  • DOI: https://doi.org/10.1007/s10483-015-2002-6

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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