Skip to main content
Log in

TWO-CRITERION FRACTURE DIAGRAM FOR A PENNY-SHAPED RING-LOADED CRACK

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

A critical load (force) is estimated for a space with a penny-shaped crack in a case where a concentrated force acts on its faces along the circumference. It is shown that it is impossible to determine the ultimate force with the help of classical fracture criteria, so a structural strength criterion formulated for axisymmetric problems is used. A relationship between fracture toughness and crack size is investigated and a two-criteria fracture diagram is constructed.

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

Similar content being viewed by others

REFERENCES

  1. K. Ando, B. A. Kim, M. Iwasa, and N. Ogura, “Process Zone Size Failure Criterion and Probabilistic Fracture Assessment Curves for Ceramics," Fatigue Fracture Engng Materials Structures 15 (2), 139–149 (1992).

    Article  Google Scholar 

  2. A. R. Dowling and C. H. A. Townley, “The Effect of Defects on Structural Failure: A Two-Criteria Approach," Intern. J. Pressure Vessels Piping. 3 (2), 77–107 (1975).

    Article  Google Scholar 

  3. R. P. Harrison, “A Unified Approach to Failure Assessment of Engineering Structures," in Fracture Mechanics in Engineering Practice, Ed. by P. Stanely (Appl. Sci. Publ. Ltd., L., 1977).

  4. A. Ziliukas, “Two-Parametrical Fracture Criterion," Problemy Prochnosti, No. 4, 56–63 (2006) [Strength Mater. 38, 367–373 (2006); DOI: 10.1007/s11223-006-0052-3].

    Article  Google Scholar 

  5. V. V. Panasyuk, Limiting Equilibrium of Brittle Bodies with Cracks (Naukova Dumka, Kiev, 1968) [in Russian].

    Google Scholar 

  6. L. I. Slepyan, Fracture Mechanics (Sudostroenie, Leningrad, 1990) [in Russian].

    Google Scholar 

  7. I. N. Sneddon, “A Note on the Problem of the Penny-Shaped Crack," Proc. Cambridge Philos. Soc. 61 (2), 609–611 (1965).

    Article  ADS  MathSciNet  Google Scholar 

  8. Yu. V. Petrov and V. I. Smirnov, “Strength of Materials with Small Defects," Izv. Ros. Akad. Nauk. Mekhanika Tverdogo Tela, No. 4, 165–177 (2006).

  9. V. I. Smirnov, “Structural Approach in Problems of the Limit Equilibrium of Brittle Solids with Stress Concentrators," Prikl. Mekh. Tekh. Fiz. 48 (4), 162–172 (2007) [J. Appl. Mech. Tech. Phys. 48 (4), 605–613 (2007)].

    Article  ADS  Google Scholar 

  10. A. V. Dyskin, “Crack Growth Criteria Incorporating Non-Singular Stresses: Size Effect in Apparent Fracture Toughness," Intern. J. Fracture. 83 (2), 191–206 (1997).

    Article  Google Scholar 

  11. V. V. Panasyuk and S. E. Kovchik, Effect of a Surface-Active Medium on the Surface Energy of a Brittle Body (Dokl. Akad. Nauk. SSSR 146 (1), 82–85 (1962).

  12. S. V. Suknev, “Fictitious Fracture Criterion: Advantages and Limitations," Zavod. Lab. 75 (10), 45–51 (2009).

    Google Scholar 

  13. S. V. Suknev, “A Criterion of Local Strength," Problemy Prochnosti, No. 4, 108–124 (2004) [Strength of Materials 36, 413–425 (2004); DOI: 10.1023/B:STOM.0000041543.77999.83].

    Article  Google Scholar 

  14. P. V. Sadikov, “A New Approach to Strength Testing at Singular Points of a Body," Vestn. Grazhd. Inzhenerov, No. 4, 64–68 (2011).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. A. Atroshenko.

Additional information

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Vol. 63, No. 4, pp. 164-171. https://doi.org/10.15372/PMTF20220417.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Smirnov, V.I., Atroshenko, S.A. TWO-CRITERION FRACTURE DIAGRAM FOR A PENNY-SHAPED RING-LOADED CRACK. J Appl Mech Tech Phy 63, 695–701 (2022). https://doi.org/10.1134/S0021894422040174

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021894422040174

Keywords

Navigation