Skip to main content
SpringerLink
Log in

Modeling of Coalescence of Dispersed Surface Cracks. Part 1. Probabilistic Model for Crack Coalescence

  • Published:
Strength of Materials Aims and scope

Abstract

A probabilistic model was developed for coalescence of cracks randomly dispersed on the surface and having uniform orientation and statistically nonuniform length. The model makes it possible to calculate the probability of coalescence of any pair of closely located cracks with allowance for the interaction of the strain fields. The model has been modified for the case of coalescence of cracks having the biggest length in the sample. The initial parameters for determining the probability of coalescence are: mathematical expectation of the length of cracks, their surface density, the magnitude of the damaged area of the material (size-scale factor), and the level of the acting stress. The model obtained can be used to predict the life of a component from the criterion of formation of critical cracks by coalescence of dispersed defects.

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. S. N. Zhurkov, V. S. Kuksenko, and V. A. Petrov, “Is it possible to predict fracture?” in: The Future of Science [in Russian], Znanie, Moscow (1983), pp. 100–111.

    Google Scholar 

  2. R. P. Salganik, “Mechanics of bodies with a large number of cracks,” Izv. AN SSSR, Mekh. Tverd. Tela, No. 4, 149–158 (1973).

  3. A. E. Elagin, “Interaction of surface cracks in a uniaxially stretched plate,” Probl. Prochn., No. 3, 14–17 (1990).

    Google Scholar 

  4. O. S. Minchenkov, N. A. Kostenko, and Yu. I. Popov, “On the interaction of crack-like defects located in three-dimensional bodies,” Probl. Prochn., No. 8, 34–37 (1990).

    Google Scholar 

  5. U. Lindborg, “A statistical model for the linking of microcracks,” Acta Met., 17, 521–526 (1969).

    Google Scholar 

  6. S. R. Ignatovich, “Critical values of the concentration of accumulated dispersed damages,” Probl. Prochn., No. 4, 61–68 (1995).

  7. G. P. Cherepanov, “Current problems in fracture mechanics,” Probl. Prochn., No. 8, 3–13 (1987).

  8. S. R. Ignatovich, “Prediction of the coalescence of dispersed defects,” Probl. Prochn., No. 2, 71–77 (1992).

  9. V. V. Bolotin, Service Life of Machines and Structures [in Russian], Mashinostroenie, Moscow (1990).

    Google Scholar 

  10. B. A. Fedelich, “A stochastic theory for the problem of multiple surface crack coalescence,” Int. J. Fract., 91, 23–25 (1998).

    Google Scholar 

  11. P. J. E. Forsyth, “A unified description of micro-and macroscopic fatigue crack behavior,” Int. J. Fract., 5, 3–14 (1983).

    Google Scholar 

  12. C. M. Sah and H. Kitagava, “Crack growth behavior of fatigue microcracks in low-carbon steels,” Fatigue Fract. Eng. Mater. Struct., 9, No. 6, 409–424 (1986).

    Google Scholar 

  13. N. Gao, M. W. Brown, and K. J. Miller, “Crack growth morphology and microstructural changes in 316 stainless steel under creep-fatigue cycling,” Fatigue Fract. Eng. Mater. Struct., 18, No. 12, 1407–1422 (1995).

    Google Scholar 

  14. S. R. Ignatovich, “Regularities in multiple fracture of alloy ÉI698VD under low-cycle loading,” in: Aerospace Technical Equipment and Technology [in Russian], Issue 26, Kharkiv Aviation Institute, Kharkiv (2001), pp. 136–139.

    Google Scholar 

  15. Y. Ochi, A. Ishii, and S. K. Sasaki, “An experimental and statistical investigation of surface fatigue crack initiation and growth,” Fatigue Fract. Eng. Mater. Struct., 8, No. 4, 327–339 (1985).

    Google Scholar 

  16. R. N. Parkins and P. M. Singh, “Stress corrosion crack coalescence,” Corrosion, 46, No. 6, 485–499 (1990).

    Google Scholar 

  17. X. J. Xin and E. R. De Los Rios, “Interactive effect of two coplanar cracks on plastic yielding and coalescence,” Fatigue Fract. Eng. Mater. Struct., 17, No. 9, 1043–1056 (1994).

    Google Scholar 

  18. S. R. Ignatovich and F. F. Ninasivincha Soto, “Stochastic model for the formation of nonuniformity of dispersed crack sizes. Part 1. Steady-state crack growth,” Probl. Prochn., No. 3, 104–113 (1999).

    Google Scholar 

  19. S. R. Ignatovich and F. F. Ninasivincha Soto, “Stochastic model for the formation of nonuniformity of dispersed crack sizes. Part 2. Nonsteady-state crack growth,” Probl. Prochn., No. 4, 59–67 (1999).

    Google Scholar 

  20. E. S. Venttsel and L. A. Ovcharov, The Probability Theory and its Engineering Applications [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  21. V. A. Petrov, “On the mechanism and kinetics of macrofracture,” Fiz. Tverd. Tela, 21, No. 12, 3681–3686 (1979).

    Google Scholar 

  22. E. Gumbel, Statistics of Extreme Values [Russian translation], Mir, Moscow (1965).

    Google Scholar 

Download references

Authors
  1. S. R. Ignatovich
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. G. Kucher
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. S. Yakushenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. V. Bashta
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ignatovich, S.R., Kucher, A.G., Yakushenko, A.S. et al. Modeling of Coalescence of Dispersed Surface Cracks. Part 1. Probabilistic Model for Crack Coalescence. Strength of Materials 36, 125–133 (2004). https://doi.org/10.1023/B:STOM.0000028302.80199.da

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:STOM.0000028302.80199.da

Search

Navigation