Skip to main content
SpringerLink
Log in

A theoretical method of determining the limiting state of a plate with a hole

  • Scientific-Technical Section
  • Published:
Strength of Materials Aims and scope

Abstract

The author is describing the new method of calculating the limiting state of plates of finite dimensions weakened by a hole. The method is based on the combined application of the strength criteria of crack mechanics and mechanics of solids. The proposed method makes it possible to determine the acting stress at the edges of the plate at which the standard element fails, as well as the critical size of the zone of the limiting stage of the material at the hole. An example of calculating the plate with a hole using the method is described. The largest difference between the experimental and theoretical data does not exceed 9%.

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

Literature cited

  1. B. I. Koval'chuk, A. A. Lebedev, and S. E. Umanskii, Mechanics of Inelastic Deformation of the Materials and Structural Members [in Russian], Naukova Dumka, Kiev (1987).

    Google Scholar 

  2. G. S. Pisarenko and A. A. Lebedev, Deformation and Strength of Materials in a Multiaxial Stress State [in Russian], Naukova Dumka, Kiev (1976).

    Google Scholar 

  3. N. A. Makutov, Strain Failure Criterion Calculation of the Strength of Structural Members [in Russian], Naukova Dumka, Kiev (1976).

    Google Scholar 

  4. G. P. Cherepanov, Mechanics of Brittle Fracture [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  5. G. N. Savin, Distribution of Stresses around Holes [in Russian], Naukova Dumka, Kiev (1968).

    Google Scholar 

  6. H. Fuehring, “Approximation functions for K-factors of cracks in notches,” Int. J. Fract.,9, No. 3, 328–331 (1973).

    Google Scholar 

  7. M. P. Savruk, Stress Intensity Factors in Bodies with Cracks [in Russian], Naukova Dumka, Kiev (1988).

    Google Scholar 

  8. H. Khan, Elasticity Theory [Russian translation], Mir, Moscow (1988).

    Google Scholar 

  9. R. Peterson, Stress Concentration Factors, Wiley, New York (1974).

    Google Scholar 

  10. N. M. Borodachev and M. P. Kulii, “Generalization of the method of flat sections for determining the stress intensity factor,” Probl. Prochn., No. 2, 23–27 (1983).

    Google Scholar 

  11. A. Karlsson and J. Backlund, “Summary of SIF design graphs for cracks emanating from circular holes,” Int. J. Fract.,14, No. 6, 585–596 (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kiev Institute of Civil Aviation Engineers, USSR

    N. M. Borodachev & Yu. I. Kazarinov

Authors
  1. N. M. Borodachev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. I. Kazarinov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Problemy Prochnosti, No. 10, pp. 3–7, October, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Borodachev, N.M., Kazarinov, Y.I. A theoretical method of determining the limiting state of a plate with a hole. Strength Mater 22, 1381–1387 (1990). https://doi.org/10.1007/BF00767216

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00767216

Keywords

Search

Navigation