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Evaluation of an energy-based fatigue approach considering mean stress effects

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Abstract

In this paper, an attempt is made to extend the total strain energy approach for predicting the fatigue life subjected to mean stress under uniaxial state. The effects of means stress on the fatigue failure of a ferritic stainless steel and high pressure tube steel are studied under strain-controlled low cycle fatigue condition. Based on the fatigue results from different strain ratios, modified total strain energy density approach is proposed to account for the mean stress effects. The proposed damage parameter provides convenient means of evaluating fatigue life with mean stress effects considering the fact that the definitions used for measuring strain energies are the same as in the fully-reversed cycling (R = −1). A good agreement is observed between experimental life and predicted life using proposed approach. Two other mean stress models (Smith-Watson-Topper model and Morrow model) are also used to evaluate the low cycle fatigue data. Based on a simple statistical estimator, the proposed approach is compared with these models and is found realistic.

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References

  1. F. Ellyin, Fatigue damage, crack growth and life prediction, Chapman & Hall, London (1997).

    Google Scholar 

  2. A. Fatemi and P. Kurath, Multi-axial fatigue life prediction under the influence of mean stresses, J. Eng. Mater. Technol., 110 (1988) 380–388.

    Article  Google Scholar 

  3. S. K. Koh and R. I. Stephens, Mean stress effects on low cycle fatigue for a high strength steel, Fatigue Fract. Eng. Mater. Struct., 14(4) (1991) 413–428.

    Article  Google Scholar 

  4. M. Nihei, P. Heular, C. Boller and T. Seeger, Evaluation of mean stress effect on fatigue life by use of damage parameters, Int. J. Fatigue, 8 (1986) 119–126.

    Article  Google Scholar 

  5. J. D. Morrow, Fatigue design handbook, Adv. Eng., 4 (1968) 21–29.

    Google Scholar 

  6. A. Fatemi and D. F. Socie, A critical plane approach to multiaxial fatigue damage including out-of-phase loading, Fatigue Fract. Eng. Mater. Struct., 11 (1988) 149–165.

    Article  Google Scholar 

  7. A. Fatemi and L. Yang, Cumulative fatigue damage and life prediction theories: A survey of the state of the art for homogenous materials, Int. J. Fatigue., 20 (1998) 9–34.

    Article  Google Scholar 

  8. K. N. Smith, P. Watson and T. H. Topper, A Stress-strain function for the fatigue of metals, J. Mater., 5(4) (1970) 767–778.

    Google Scholar 

  9. S. Kwofie, An exponential function for predicting fatigue strength and life due to mean stress, Int. J. Fatigue, 23 (2001) 829–836.

    Article  Google Scholar 

  10. D. Lefebvre and F. Ellyin, Cyclic response and inelastic strain energy in low cyclic fatigue, Int. J. Fatigue, 6(1) (1984) 471–480.

    Article  Google Scholar 

  11. Y. S. Garud, A new approach to the evaluation of fatigue under multiaxial loadings, J. Eng. Mater. Fatigue, 103 (1981) 118–125.

    Google Scholar 

  12. B. N Leis, An energy based fatigue and creep-fatigue damage parameter, J. Press. Ves. Technol., 99 (1977) 524–533.

    Article  Google Scholar 

  13. F. Ellyin and D. Kujawski, Plastic strain energy in fatigue, Press. Ves. Technol., 106 (1984) 342–346.

    Article  Google Scholar 

  14. T. Xiao, W. De and X. Hao, Investigation of cyclic hysteresis energy in fatigue failure process, Int. J. Fatigue, 11 (1989) 353–359.

    Article  Google Scholar 

  15. P. Jinso and D. Nelson, Evaluation of an energy-based approach and a critical plane approach for predicting constant amplitude multiaxial fatigue life, Int. J. Fatigue, 22 (2000) 23–39.

    Article  Google Scholar 

  16. K. Golos and F. Ellyin, A total strain energy density theory for cumulative fatigue damage, J. Press. Ves. Technol., 110 (1988) 36–41.

    Article  Google Scholar 

  17. S. K. Koh, Fatigue damage evaluation of a high pressure tube steel using cyclic strain energy density. Int. J. Press. Ves. Pip, 79 (2002) 791–798.

    Article  Google Scholar 

  18. S. M. H. Kabir and T. Yeo, Characterization of unified material parameters in elasto-plastic continuum approach, Int. Rev. Mech. Eng., 4(5) (2010) 507–517.

    Google Scholar 

  19. H. D. Chandler and S. Kwofie, A description of cyclic creep under conditions of axial cyclic and mean stress, Int. J. Fatigue, 27 (2005) 541–545.

    Article  Google Scholar 

  20. S. Kwofie and H. D. Chandler, Low cycle fatigue under tensile mean stresses where cyclic life extension occurs, Int. J. Fatigue, 23 (2001) 341–345.

    Article  Google Scholar 

  21. J. Fash and D. F. Socie, Fatigue behavior and mean effects in grey cast iron, Int. J. Fatigue, 4 (1982) 137–142.

    Article  Google Scholar 

  22. J. A. Bannantine, J. J. Comer and J. L. Handrock, Fundamentals of metal fatigue analysis, Prentice Hall, NJ (1990).

    Google Scholar 

  23. W. Navidi, Statistics for engineers and scientists, McGraw Hill (2006).

    Google Scholar 

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Correspondence to S. M. Humayun Kabir.

Additional information

Recommended by Associate Editor Hak-Sung Kim

S. M. Humayun Kabir was born in Chittagong, Bangladesh. He has completed B.Sc. in mechanical engineering from the Department of Mechanical Engineering in Chittagong University of Engineering & Technology (CUET), Chittagong, Bangladesh, and has also completed Ph.D. on the same major at University of Ulsan, Ulsan, Republic of Korea. His research interests include low-cycle fatigue and solid mechanics.

Taein Yeo, B.S., M.S., Ph.D. is a professor of School of Mechanical and Automotive Engineering at University of Ulsan, Korea since 1993. He was born in Pusan, Korea and has earned B.S. at Pusan National University, Pusan, Korea in 1982 and subsequently, M.S. at KAIST, Seoul, Korea in 1984, both in mechanical engineering. He has completed Ph.D. on the same major at University of Michigan, U.S.A. He has published several journal papers and conference papers and carried out 36 research projects. His research interests include thermo-mechanical fatigue and solid mechanics.

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Humayun Kabir, S.M., Yeo, Ti. Evaluation of an energy-based fatigue approach considering mean stress effects. J Mech Sci Technol 28, 1265–1275 (2014). https://doi.org/10.1007/s12206-013-1155-y

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  • DOI: https://doi.org/10.1007/s12206-013-1155-y

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