Skip to main content
Log in

Specific Features of Contact of the Faces of an Edge Crack Under Moving Hertzian Loads

  • Published:
Materials Science Aims and scope

We consider the contact problem of the theory of elasticity for a half plane containing an edge oblique crack whose faces are in contact (with friction) under the action of a Hertzian contact load unidirectionally moving along the edge of the half plane. We present the maps of contact of the crack faces and compute stress intensity factors for the combinations of parameters typical of rolling contact interaction (the coefficients of friction between the crack faces and rolling bodies, crack orientation, and crack length).

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.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. L. M. Keer and M. D. Bryant, “A pitting model for rolling contact fatigue,” Trans. ASME, J. Lubric. Technol., 105, No. 2, 198–205 (1983).

    Article  Google Scholar 

  2. Yu. V. Kolesnikov and E. M. Morozov, Mechanics of Contact Fracture [in Russian], Nauka, Moscow (1989).

    Google Scholar 

  3. J. W. Ringsberg and A. Bergkvist, “On propagation of short rolling contact fatigue cracks,” Fatigue Fract. Еng. Mater. Struct., 26, No. 10, 969 − 983 (2003).

    Article  Google Scholar 

  4. U. Zerbst, K. Madler, and H. Hintze, “Fracture mechanics in railway applications—an overview,” Eng. Fract. Mech., 72, No. 2, 163–194 (2005).

    Article  Google Scholar 

  5. S. Way, “Pitting due to rolling contact,” Trans. ASME, J. Appl. Mech., 2, A49–A58 (1935).

    Google Scholar 

  6. A. Ekberg and E. Kabo, “Fatigue of railway wheel and rails under rolling contact and thermal loading—an overview,” Wear, 258, 1288–1300 (2005).

    Article  Google Scholar 

  7. O. P. Datsyshyn, “Service life and fracture of solid bodies under the conditions of cyclic contact interaction,” Fiz.-Khim. Mekh. Mater., 41, No. 6, 5–25 (2005); English translation: Mater. Sci., 41, No. 6, 709–733 (2005).

  8. Y. Murakami, M. Kaneta, and H. Yatsuzuka, “Analysis of surface crack propagation in lubricated rolling contact,” Trans. ASLE, 28, No. 1, 60 − 68 (1985).

    Article  Google Scholar 

  9. O. P. Datsyshyn and H. P. Marchenko, “Numerical analysis of the durability of rolling surfaces in the stage of propagation of edge cracks according to the mechanism of shear,” in: V. T. Troshchenko (editor), Tribofatigue: Proc. of the Fourth Internat. Symp. on Tribofatigue (ISTF 4) [in Ukrainian], Vol. 1, Ternopil’ State Tech. Univ., Ternopil’ (2002), pp. 420–425.

  10. O. Datsyshyn and H. Marchenko, “Determination of the period of growth of a surface crack by the mechanism of shear in rolling contact,” Mashynoznavstvo, No. 7, 21–28 (2003).

    Google Scholar 

  11. A. B. Levus, “Kinetics of contact of the crack faces in rolling,” in: Proc. of the XX Open Sci.-Eng. Conf. of Young Scientists and Experts of the Physicomechanical Institute “Problems of Stress Corrosion Fracture, Surface Engineering, and Diagnostic Systems” (KMN-2007) [in Ukrainian], Karpenko Physicomechanical Institute, Ukrainian National Academy of Sciences, Lviv (2007), pp. 79–82.

  12. S. Bogdanski, M. Olzak, and J. Stupnicki, “Numerical stress analysis of rail contact fatigue cracks,” Wear, 191, 14 − 24 (1996).

    Article  Google Scholar 

  13. S. Bogdanski and M. Trajer, “A dimensionless multi-size finite element model of a rolling contact fatigue crack,” Wear, 258, 1265–1272 (2005).

    Article  Google Scholar 

  14. N.-A. Noda, M. Yagishita, and T. Kihara, “Effect of crack shape, inclination angle, and friction coefficient in crack surface contact problems,” Int. J. Fract., 105, 367–389 (2000).

    Article  Google Scholar 

  15. M. Akama and T. Mori, “Boundary element analysis of surface initiated rolling contact fatigue cracks in wheel/rail contact system,” Wear, 253, 35 − 41 (2002).

    Article  Google Scholar 

  16. M. Beghini, L. Bertini, and V. Fontanari, “Parametric study of oblique edge cracks under cyclic contact loading,” Fatigue Fract. Eng. Mater. Struct., 28, No. 1/2, 31 − 40 (2005).

    Google Scholar 

  17. O. P. Datsyshyn, V. I. Tkachov, A. Yu. Hlazov, and R. A. Khrunyk, “Prediction of the contact durability of back-up rolls of forge-rolling mills in the process of development of pitting,” Fiz.-Khim. Mekh. Mater., 42, No. 6, 95–105 (2006); English translation: Mater. Sci., 42, No. 6, 823–836 (2006).

  18. O. P. Datsyshyn, V. V. Panasyuk, and A. Yu. Glazov, “Modelling of fatigue contact damages formation in rolling bodies and assessment of their durability,” Wear, 271, No. 1–2, 186–194 (2011).

    Article  Google Scholar 

  19. A. F. Bower, “The influence of crack face friction and trapped fluid on surface initiated rolling contact fatigue cracks,” Trans. ASME, J. Tribol., 110, No. 4, 704 − 711 (1988).

    Article  Google Scholar 

  20. X. Xu, D.-H. Cho, Y.-S. Chang, et al., “Evaluation of slant crack propagation under RCF in railway rail,” J. Mech. Sci. Technol., 25, No. 5, 1215–1220 (2011).

    Article  Google Scholar 

  21. O. P. Datsyshyn and H. P. Marchenko, “Stressed state of a half plane with shallow edge crack under Hertzian loading (a survey),” Fiz.-Khim. Mekh. Mater., 44, No. 1, 23–34 (2008); English translation: Mater. Sci., 44, No. 1, 22–34 (2008).

  22. A. P. Datsyshin and G. P. Marchenko, “Interaction of curvilinear cracks with the boundary of an elastic half plane,” Fiz.-Khim. Mekh. Mater., 20, No. 5, 64–71 (1984); English translation: Soviet Mater. Sci., 20, No. 5, 466–473 (1984).

  23. M. P. Savruk, Two-Dimensional Problems of Elasticity for Bodies with Cracks [in Russian], Naukova Dumka, Kiev (1981).

    Google Scholar 

  24. O. P. Datsyshyn and A. B. Terlets’kyi, “Stress-strain state near edge curvilinear cracks in the half plane under elliptic loading of its boundary,” Fiz.-Khim. Mekh. Mater. (1997), Deposited at DNTB of Ukraine 9.01.1997, No. 57 UK 97.

  25. O. P. Datsyshyn, R. E. Pryshlyak, S. V. Prykhods’ka, et al., “Influence of the shape of a model contact load on the stress intensity factors for an edge crack,” Probl. Trybol., No. 3, 3–16 (1998).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to O. P. Datsyshyn.

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 49, No. 5, pp. 31–41, September–October, 2013.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Datsyshyn, O.P., Hlazov, A.Y. & Levus, A.B. Specific Features of Contact of the Faces of an Edge Crack Under Moving Hertzian Loads. Mater Sci 49, 589–601 (2014). https://doi.org/10.1007/s11003-014-9652-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11003-014-9652-4

Keywords

Navigation