Skip to main content
Log in

Evaluation of cyclic plasticity models of multi-surface and non-linear hardening by an energy-based fatigue criterion

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

This study examines the performance of four constitutive models according to capacity in predicting metal fatigue life under proportional and non-proportional loading conditions. These cyclic plasticity models are the multi-surface models of Mroz and Garud, and the non-linear kinematic hardening models of Armstrong-Frederick and Chaboche. The range of abilities of these models is studied in detail. Furthermore, the plastic strain energy under multiaxial fatigue condition is calculated in the cyclic plasticity models by the stress-strain hysteresis loops. Using the results of these models, the fatigue lives that have set in the energy-based fatigue model are predicted and evaluated with the reported experimental data of 1% Cr-Mo-V steel in the literature. Consequently, the optimum model in the loading condition for this metal is chosen based on life factor.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. B. R. You and S. B. Lee, A critical review on multiaxial fatigue assessments of metals. International Journal of Fatigue, 18(4) (1996) 235–244.

    Article  Google Scholar 

  2. A. Fatemi and D. F. Socie, Critical plane approaches to multiaxial fatigue damage including out-of-phase loading. Fatigue & Fracture of Engineering Materials & Structures, 11(3) (1988) 149–165.

    Article  Google Scholar 

  3. E. Macha and C. M. Sonsino, Energy criteria of multiaxial fatigue failure. Fatigue & Fracture of Engineering Materials & Structures, 22 (1999) 1053–1070.

    Article  Google Scholar 

  4. I. V. Papadopoulos, P. Davoli, C. Gorla, M. Fillippini and A. Bernasconi, A comparative study of multiaxial high-cycle fatigue criteria for metals. International Journal of Fatigue, 19(3) (1997) 219–235.

    Article  Google Scholar 

  5. D. H. Kwak, H. R. Roh, J. K. Kim and S. B. Cho, A study on fretting fatigue life prediction for Cr-Mo Steel (SCM420). Journal of the Korean Society of Precision Engineering, 24(4) (2007) 123–130.

    Google Scholar 

  6. G. Rashed, R. Ghajar and G. Farrahi, Multiaxial stress-strain modeling and effect of additional hardening due to nonproportional loading. Journal of Mechanical Science and Technology, 21(8) (2007) 1153–1161.

    Article  Google Scholar 

  7. H. J. Gough, Engineering steels under combined cyclic and static stresses. Journal of Applied Mechanics, 50 (1950) 113–125.

    Google Scholar 

  8. Y. Yokobori, H. Yamanouc and S. Yamamoto, Low cycle fatigue of thin-walled hollow cylinder specimens of mild steel in uniaxial tests at constant strain amplitude. International Journal of Fracture Mechanics, 1 (1965) 3–13.

    Article  Google Scholar 

  9. C. E. Feltner and J. Morrow, Microplastic strain hysteresis energy as a criterion for fatigue fracture. Journal of Basic Engineering, Transactions of the ASME, Series D, 83 (1961) 15–22.

    Google Scholar 

  10. J. Morrow, Cyclic plastic strain energy and fatigue of metals. Internal friction, damping and cyclic plasticity, ASTM STP 378, American Society for Testing and Materials, West Conshohocken, PA, (1965) 45–87.

  11. G. R. Halford, The energy required for fatigue. Journal of materials, 1(1) (1996) 3–18.

    Google Scholar 

  12. H. Jahed and A. Varvani-Farahani, Upper and lower fatigue life limits model using energy-based fatigue properties. International Journal of Fatigue, 28 (2006) 467–473.

    Article  MATH  Google Scholar 

  13. M. Haffman and T. Seeger, A generalized method for estimating multiaxial elastic-plastic notch stresses and strains, part1. Journal of Engineering Materials and Technology, 107 (1985) 250–254.

    Article  Google Scholar 

  14. D. McDowell, An evaluation of recent developments in hardening and flow rules for rate-independent, nonproportional cyclic plasticity. ASME, Journal of Applied Mechanics, 54 (1987) 323–334.

    Article  MATH  Google Scholar 

  15. Y. Dafalias and E. Popove, Plastic internal variables formalism of cyclic plasticity. ASME. Journal of Applied Mechanics, 43 (1975) 645–651.

    Article  Google Scholar 

  16. S. Bari and T. Hassan, Kinematic hardening rules in uncoupled modeling for multiaxial ratcheting simulation. International Journal of Plasticity, 17 (2001) 885–905.

    Article  MATH  Google Scholar 

  17. W. Prager, A new method of analyzing stresses and strains in work hardening. Journal of Applied Mechanics, 23 (1956) 493–496.

    MATH  MathSciNet  Google Scholar 

  18. P. J. Armstrong and C. O. Frederick, A mathematical representation of the multiaxial Bauschinger effect. G.E.G.B. Report RD/B/N731, Berkeley Nuclear Laboratories, (1966).

  19. J. L. Chaboche, Time-independent constitutive theories for cyclic plasticity. International Journal of Plasticity, 2(2) (1986) 149–188.

    Article  MATH  Google Scholar 

  20. J. L. Chaboche, Constitutive equations for cyclic plasticity and cyclic viscoplasticity. International Journal of Plasticity, 5(3) (1989) 247–302.

    Article  MATH  Google Scholar 

  21. J. L. Chaboche, On some modifications of kinematic hardening to improve the description of ratchetting effects. International Journal of Plasticity, 7(7) (1991) 661–678.

    Article  Google Scholar 

  22. Z. Mróz, On the description of anisotropic work-hardening. Journal of the Mechanics and Physics of Solids, 15 (1967) 163–175.

    Article  Google Scholar 

  23. Z. Mróz, An attempt to describe the behavior of metals under cyclic loads using a more general workhardening model. Acta Mechanica, 7(2) (1969) 199–212.

    Article  Google Scholar 

  24. Y. S. Garud, Multiaxial fatigue: a survey of the state of the art. Journal of Testing and Evaluation, 9 (1981) 165–178.

    Google Scholar 

  25. J. Yanyao, O. W. Christian, V. Michael and N. Horst, Fatigue life predictions by integrating EVICD fatigue damage model and an advanced cyclic plasticity theory. International Journal of Plasticity, 25(5) (2009) 780–801.

    Article  MATH  Google Scholar 

  26. D. Lohr, R. and E. G. Ellison, Biaxial high strain fatigue testing of 1% Cr-Mo-V steel. Fatigue of Engineering Materials & Structures, 3 (1980) 19–37.

    Article  Google Scholar 

  27. K. Kanazawa, K. J. Miller and M. W. Brown, Cyclic deformation of 1% Cr-Mo-V steel under out-of-phase loads. Fatigue of Engineering Materials & Structures, 2 (1979) 217–228.

    Article  Google Scholar 

  28. M. W. Brown, K. J. M., Biaxial cyclic deformation behaviour of steels. Fatigue of Engineering Materials & Structures, 1 (1979) 93–106.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shahram Shahrooi.

Additional information

This paper was recommended for publication in revised form by Associate Editor Chongdu Cho

Shahram Shahrooi received his B.S. and M.S. degrees in Mechanical Engineering from the Islamic Azad University, Arak branch, Iran, in 1991 and 1996, respectively. At present, he is a Ph.D. student at the Department of Mechanical Engineering at the University of Malaya, Kuala Lumpur, Malaysia. Mr. Shahrooi’s research interests include fatigue, plasticity, and finite element method.

Ibrahim Henk Metseelar earned his M.S. degree in Chemical Technology from the University of Twente in the Netherlands in 1994. During his Ph.D. studies in Mechanical Engineering, his research focus was Tribology. Dr. Metseelar joined the University of Malaya in September 2001 and has worked as Senior Lecturer in the Materials program in the Mechanical Engineering Department.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shahrooi, S., Metselaar, I.H. & Huda, Z. Evaluation of cyclic plasticity models of multi-surface and non-linear hardening by an energy-based fatigue criterion. J Mech Sci Technol 24, 1255–1260 (2010). https://doi.org/10.1007/s12206-010-0339-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-010-0339-y

Keywords

Navigation