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Multiaxial High Cycle Fatigue Criteria Based on Fracture Plane Identification: Applicability to Metallic Materials

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Abstract

Two multiaxial high cycle fatigue criteria pertaining to the critical plane-based approach are reviewed. The models were proposed by Carpinteri and Spagnoli (C&S) and Liu and Mahadevan (L&M), and unlike other models based on the same approach, they have the critical plane directly correlated with the fatigue fracture plane. As the aim of this study is mainly to compare their capability to predict fatigue failure, the two models were applied to a number of published experimental fatigue tests, involving synchronous sinusoidal in-phase and out-of-phase bending and torsion. The results indicate that both models possess good predictive capability under fully reversed stresses, with the L&M model being on the average slightly more conservative. Applying, to the same loading conditions, a mesoscopic scale-based approach proposed by Papadopoulos, one can verify that its predictive capability is as good as those corresponding to the C&S and L&M criteria. However, in the presence of superimposed mean stresses, the capability of these two models to predict fatigue behavior is seen to be considerably lower than that detected for Papadopoulos’.

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References

  1. Y. Liu and S. Mahadevan, Multiaxial High-Cycle Fatigue Criterion and Life Prediction for Metals, Int. J. Fatigue, 2005, 27, p 790–800

    Article  Google Scholar 

  2. Y.S. Garud, Multiaxial Fatigue: A Survey of the State-of-the-Art, J. Test. Eval., 1981, 9, p 165–178

    Google Scholar 

  3. I.V. Papadopoulos, P. Davoli, C. Gorla, M. Filippini, and A. Bernasconi, A Comparative Study of Multiaxial High Cycle Fatigue Criteria for Metals, Int. J. Fatigue, 1997, 19, p 219–235

    Article  Google Scholar 

  4. Y.Y. Wang and W.X. Yao, Evaluation and Comparison of Several Multiaxial Fatigue Criteria, Int. J. Fatigue, 2004, 26, p 17–25

    Article  Google Scholar 

  5. B.R. You and S.B. Lee, A Critical Review on Multiaxial Fatigue Assessments of Metals, Int. J. Fatigue, 1996, 18, p 235–244

    Article  Google Scholar 

  6. A. Carpinteri and A. Spagnoli, Multiaxial High Cycle Fatigue Criterion for Hard Metals, Int. J. Fatigue, 2001, 23, p 135–145

    Article  Google Scholar 

  7. A. Carpinteri, R. Brighenti, and A. Spagnoli, A Fracture Plane Approach in Multiaxial High Cycle Fatigue of Metals, Fatigue Fract. Eng. Mater. Struct., 2000, 23, p 355–364

    Article  Google Scholar 

  8. A. Carpinteri, A. Spagnoli, and S. Vantadori, Multiaxial Fatigue Assessment Using a Simplified Critical Plane-Based Criterion, Int. J. Fatigue, 2011, 33, p 969–976

    Article  Google Scholar 

  9. A. Carpinteri, A. Spagnoli, S. Vantadori, and C. Bagni, Structural Integrity Assessment of Metallic Components Under Multiaxial Fatigue: The C-S Cri-terion and its Evolution, Fatigue Fract. Eng. Mater. Struct., 2013, 36, p 870–883

    Article  Google Scholar 

  10. T. Nishihara and M. Kawamoto, The Strength of Metals Under Combined Alternating Bending and Torsion with Phase Difference, Mem College Eng Kyoto Imp Univ, 1945, 11, p 85–112 (Cited in Ref [3,6])

    Google Scholar 

  11. H. Zenner, R. Heidenreich, and I.Z. Richter, Dauerschwingfestigkeit bei nichtsynchroner mehrachsinger beanspruchung, Werkstofftech, 1985, 16, p 101 (Cited in Ref [3])

    Article  Google Scholar 

  12. C. Froustey and S. Lasserre, Multiaxial Fatigue Endurance of 30NCD16 Steel, Int. J. Fatigue, 1989, 11, p 169–175

    Article  Google Scholar 

  13. A. Carpinteri, A. Spagnoli, S. Vantadori, and D. Viappiani, A Multiaxial Criterion for Notch High-Cycle Fatigue Using a Critical-Point Method, Eng. Fract. Mech., 2008, 75, p 191–199

    Google Scholar 

  14. A. Carpinteri, A. Spagnoli, and S. Vantadori, Multiaxial Criteria Fatigue Life Estimation in Welded Joints Using the Critical Plane Approach, Int. J. Fatigue, 2009, 31, p 188–196

    Article  Google Scholar 

  15. A. Carpinteri, G. Fortese, C. Roncher, D. Scorza, A. Spagnoli, and S. Vantadori, Fatigue Life Evaluation of Metallic Structures Under Multiaxial Random Loading, Int. J. Fatigue, 2016, 90, p 191–199

    Article  Google Scholar 

  16. J. Schijve, Fatigue of Structural Materials, Springer, Berlin, 2009

    Book  Google Scholar 

  17. D.L. McDiarmid, Fatigue Under Out-of-Phase Bending and Torsion, Fa-tigue Fract Eng Mater Struct, 1987, 9, p 457–475

    Article  Google Scholar 

  18. I.V. Papadopoulos, Critical Plane Approach in High Cycle Fatigue: On the Definition of the Amplitude and Mean Value of the Shear Stress Acting on the Critical Plane, Fatigue Fract. Eng. Mater. Struct., 1998, 21, p 269–285

    Article  Google Scholar 

  19. I.V. Papadopoulos, Long Life Fatigue under Multiaxial Loading, Int J Fa-tigue, 2001, 23, p 839–849

    Article  Google Scholar 

Download references

Acknowledgments

This work was developed within the scope of the Research and Technological Development of the Brazilian Electric Energy Sector Program regulated by ANEEL, with the support of the Eneva Companies—Pecém II Energy Generation S.A., Itaqui Energy Generation S.A. and Parnaíba I, II and III Energy Generation S.A.

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Correspondence to Maria C. Teixeira.

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Pereira, M.V., Darwish, F.A., Teixeira, M.C. et al. Multiaxial High Cycle Fatigue Criteria Based on Fracture Plane Identification: Applicability to Metallic Materials. J. of Materi Eng and Perform 28, 4740–4750 (2019). https://doi.org/10.1007/s11665-019-04242-5

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  • DOI: https://doi.org/10.1007/s11665-019-04242-5

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