Skip to main content
Log in

Revised damage evolution equation for high cycle fatigue life prediction of aluminum alloy LC4 under uniaxial loading

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The fatigue life prediction for components is a difficult task since many factors can affect the final fatigue life. Based on the damage evolution equation of Lemaitre and Desmorat, a revised two-scale damage evolution equation for high cycle fatigue is presented according to the experimental data, in which factors such as the stress amplitude and mean stress are taken into account. Then, a method is proposed to obtain the material parameters of the revised equation from the present fatigue experimental data. Finally, with the utilization of the ANSYS parametric design language (APDL) on the ANSYS platform, the coupling effect between the fatigue damage of materials and the stress distribution in structures is taken into account, and the fatigue life of specimens is predicted. The outcome shows that the numerical prediction is in accord with the experimental results, indicating that the revised two-scale damage evolution model can be well applied for the high cycle fatigue life prediction under uniaxial loading.

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. Schijve, J. Fatigue of Structures and Materials, Kluwer Academic, Dordrecht, 1–5 (2001)

    Google Scholar 

  2. Gonçalves, C. A., Araújo, J. A., and Mamiya, E. N. Multiaxial fatigue: a stress based criterion for hard metals. International Journal of Fatigue, 27, 177–187 2005

    Article  MATH  Google Scholar 

  3. Cristofori, A. and Tovo, R. An invariant-based approach for high-cycle fatigue calculation. Fatigue & Fracture of Engineering Materials & Structures, 32, 310–324 2009

    Article  Google Scholar 

  4. Socie, D. F. Fatigue-life prediction using local stress-strain concepts. Experimental Mechanics, 17, 50–56 1977

    Article  Google Scholar 

  5. Seshadri, R. The generalized local stress strain (GLOSS) analysis-theory and applications. Journal of Pressure Vessel Technology, 113, 219–227 1991

    Article  Google Scholar 

  6. Stanfield, G. Discussion on the strength of metals under combined alternating stresses. Proceedings of the Institution of Mechanical Engineers, 131, 93 1935

    Google Scholar 

  7. Stulen, F. and Cummings, H. A failure criterion for multi-axial fatigue stresses. Proceedings of the American Society for Testing and Materials, 54, 822–835 (1954)

    Google Scholar 

  8. Krajcinovic, D. Continuum damage mechanics. Applied Mechanics Reviews, 37, 1–6 1984

    Google Scholar 

  9. Chaboche, J. L. Continuous damage mechanics-a tool to describe phenomena before crack initiation. Nuclear Engineering and Design, 64, 233–247 1981

    Article  Google Scholar 

  10. Lemaitre, J. and Chaboche, J. L. Mechanics of Solid Materials, Cambridge University Press, Cambridge, 442–449 (1990)

    Book  MATH  Google Scholar 

  11. Chaboche, J. and Lesne, P. A nonlinear continuous fatigue damage model. Fatigue & Fracture of Engineering Materials & Structures, 11, 1–17 (1988)

    Article  Google Scholar 

  12. Lemaitre, J. and Desmorat, R. Engineering Damage Mechanics: Ductile, Creep, Fatigue and Brittle Failures, Springer, Berlin, 283–288 (2005)

    Google Scholar 

  13. Yang, F. P., Sun, Q., Luo, H. J., and Zhang, H. A corrected damage law for high cycle fatigue (in Chinese). Acta Mechanica Sinica, 44, 140–147 (2012)

    Google Scholar 

  14. Kachanov, L. Introduction to Continuum Damage Mechanics, Springer, Berlin, 1–6 (1986)

    MATH  Google Scholar 

  15. Bathias, C. and Pineau, A. Fatigue of Materials and Structures, Wiley Online Library, New York, 47–50 (2010)

    Google Scholar 

  16. Murakami, S. Continuum Damage Mechanics: a Continuum Mechanics Approach to the Analysis of Damage and Fracture, Springer, Berlin, 19–22 (2012)

    Book  Google Scholar 

  17. Argente dos Santos, H. A. F., Auricchio, F., and Conti, M. Fatigue life assessment of cardiovas-cular balloon-expandable stents: a two-scale plasticity-damage model approach. Journal of the Mechanical Behavior of Biomedical Materials, 15, 78–92 2012

    Article  Google Scholar 

  18. Desmorat, R., Kane, A., Seyedi, M., and Sermage, J. P. Two scale damage model and related numerical issues for thermo-mechanical high cycle fatigue. European Journal of Mechanics, A: Solids, 26, 909–935 2007

    Article  MATH  Google Scholar 

  19. Lautrou, N., Thevenet, D., and Cognard, J. Y. Fatigue crack initiation life estimation in a steel welded joint by the use of a two-scale damage model. Fatigue & Fracture of Engineering Materials & Structures, 32, 403–417 2009

    Article  Google Scholar 

  20. Zhang, X. Fracture and Damage Mechanics (in Chinese), Beijing University of Aeronautics and Astronautics Press, Beijing, 327–331 (2006)

    Google Scholar 

  21. Hansen, N. and Schreyer, H. A thermodynamically consistent framework for theories of elastoplasticity coupled with damage. International Journal of Solids and Structures, 31, 359–389 (1994)

    Article  MATH  Google Scholar 

  22. Chaboche, J. L. Thermodynamic formulation of constitutive equations and application to the viscoplasticity and viscoelasticity of metals and polymers. International Journal of Solids and Structures, 34, 2239–2254 1997

    Article  MATH  Google Scholar 

  23. Lemaitre, J., Sermage, J., and Desmorat, R. A two scale damage concept applied to fatigue. International Journal of Fracture, 97, 67–81 (1999)

    Article  Google Scholar 

  24. Wu, X. R. Handbook of Mechanical Properties of Aircraft Structural Metals (in Chinese), Aviation Industry Press, Beijing, 222–225 (1998)

    Google Scholar 

  25. Gao, Z. T. The Fatigue Performance Experiments Design and Data Processing (in Chinese), Beijing University of Aeronautics and Astronautics Press, Beijing (1999)

    Google Scholar 

  26. Zhang, M., Meng, Q. C., Hu, W. P., Shi, S. D., Hu, M., and Zhang, X. Damage mechanics method for fatigue life prediction of pitch-change-link. International Journal of Fatigue, 32, 1683–1688 2010

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Weiping Hu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhan, Z., Hu, W., Zhang, M. et al. Revised damage evolution equation for high cycle fatigue life prediction of aluminum alloy LC4 under uniaxial loading. Appl. Math. Mech.-Engl. Ed. 36, 1185–1196 (2015). https://doi.org/10.1007/s10483-015-1970-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-015-1970-6

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

Navigation