Skip to main content
SpringerLink
Log in

Contact strength of two elastic half spaces with circular groove

  • Published:
Materials Science Aims and scope

We present the analysis of the stress-and-strain state of a contact couple formed by two isotropic semi-infinite solids one of which has a small surface groove. Based on the classical fracture criteria, namely, on the criterion of maximal principal stresses and the criterion of maximal shear stresses, we determine the regions of the most possible formation of the zones of crack initiation and plastic zones. Brittle cracking can be induced both by tensile and compressive stresses arising on the interface. For some shapes of the groove considered as an example, our analysis reveals that the fracture process starts from the boundary of contacting solids.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. B. Monastyrs’kyi and A. Kaczyński, “Contact interaction of two elastic half spaces with circular groove,” Fiz.-Khim. Mekh. Mater., 46, No. 3, 47–56 (2010).

    Google Scholar 

  2. K. L. Johnson, Contact Mechanics, Oxford Univ. Press, Oxford (1985).

    Google Scholar 

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

    Google Scholar 

  4. A. Kryshtafovych and R. Martynyak, “Strength of a system of mated anisotropic half planes with surface recesses,” Int. J. Eng. Sci., 39, 403–413 (2001).

    Article  Google Scholar 

  5. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  6. A. P. Prudnikov, Yu. L. Brychkov, and O. I. Marichev, Integrals and Series. Special Functions [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  7. V. V. Bozhydarnyk and H. T. Sulym, Elements of the Theory of Plasticity and Strength [in Ukrainian], Svit, Lviv (1999).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Science, Lviv, Ukraine

    B. Monastyrs’kyi

  2. Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland

    A. Kaczyński

Authors
  1. B. Monastyrs’kyi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Kaczyński
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. Monastyrs’kyi.

Additional information

Published in Fizyko-Khimichna Mekhanika Materialiv, Vol. 46, No. 4, pp. 69–77, July–August, 2010.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Monastyrs’kyi, B., Kaczyński, A. Contact strength of two elastic half spaces with circular groove. Mater Sci 46, 505–516 (2011). https://doi.org/10.1007/s11003-011-9318-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11003-011-9318-4

Keywords

Search

Navigation