Skip to main content
SpringerLink
Log in

Computational Model of the Propagation of Stress-Corrosion Cracks at High Temperatures

  • Published:
Materials Science Aims and scope

We propose a mathematical model for the investigation of the fracture of thin-walled structural elements with cracks under the action of long-term static loads and aggressive media. The model is based on the energy approach and the basic ideas of fracture mechanics. We deduce an equation for the analysis of the kinetics of growth of stress-corrosion cracks, which forms, together with the initial and final conditions, a mathematical model for the determination of the period of subcritical growth of these cracks in metallic materials. We determine the influence of acid corrosive media on the lifetime of thin-walled plates of 20 steel weakened by cracks (an analog of the Griffith problem) under the action of static loads and high-temperature creep. The dependences of the lifetime of the plate on the initial size of the defect are plotted both in corrosive media and in air. It is shown that corrosive media increase the rate of propagation of creep cracks, which leads to a decrease in the lifetime of structural elements.

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

Fig. 1.
Fig. 2.
Fig. 3.

Similar content being viewed by others

References

  1. V. V. Panasyuk (editor), Fracture Mechanics and Strength of Materials: A Handbook [in Russian], Vol. 4: O. N. Romaniv, S. Ya. Yarema, G. N. Nikiforchin, N. A. Makhutov, and M. M. Stadnik, Fatigue and Cyclic Crack Resistance of Structural Materials [in Russian], Naukova Dumka, Kiev (1990).

  2. G. P. Cherepanov, Fracture Mechanics [in Russian], Inst. Comput. Investigations, Izhevsk (2012).

    Google Scholar 

  3. P. Arnoux, “Atomistic simulations of stress corrosion cracking,” Corr. Sci., 52, 1247–1257 (2010).

    Article  Google Scholar 

  4. I. M. Dmytrakh and V. V. Panasyuk, Influence of Corrosive Media on the Local Fracture of Metals Near Stress Concentrators [in Ukrainian], Physicomechanical Institute, Lviv (1999).

    Google Scholar 

  5. K. Sieradzki and R. C. Newman, “Stress-corrosion cracking,” J. Phys. Chem. Solids, 48, No. 11, 1101–1113 (1987).

    Article  Google Scholar 

  6. O. E. Andreikiv, L. N. Dobrovol’s’ka, and N. V. Yavors’ka, “Growth of high-temperature creep cracks in metallic materials under the influence of hydrogen,” Fiz.-Khim. Mekh. Mater., 50, No. 3, 45–52 (2014); English translation: Mater. Sci., 50, No. 3, 358–368 (2014).

  7. O. E. Andreikiv and N. B. Sas, “Subcritical growth of a plane crack in a three-dimensional body under the conditions of high-temperature creep,” Fiz.-Khim. Mekh. Mater., 44, No. 2, 19–26 (2008); English translation: Mater. Sci., 44, No. 2, 163–174 (2008).

  8. F. Garofalo, Fundamentals of Creep and Creep-Rupture in Metals, MacMillan, New York (1970).

    Google Scholar 

  9. O. E. Andreikiv and O. V. Hembara, Fracture Mechanics and Durability of Metal Materials in Hydrogen-Containing Media [in Ukrainian], Naukova Dumka, Kyiv (2008).

    Google Scholar 

  10. N. I. Tym’yak and O. E. Andreikiv, “Evaluation of crack-growth rate under conditions of simultaneous action of static loading and corrosive media,” Fiz.-Khim. Mekh. Mater., 31, No. 2, 68–74 (1995); English translation: Mater. Sci., 31, No. 2, 219–225 (1995).

  11. O. V. Hembara, Z. O. Terlets’ka, and O. Ya. Chepil’, “Determination of electric fields in electrolyte-metal systems,” Fiz.-Khim. Mekh. Mater., 43, No. 2, 71–77 (2007); English translation: Mater. Sci., 43, No. 2, 222–229 (2007).

  12. L. Babii, O. Student, and A. Zahors’kyi, “Properties of 15Kh2MFA hull still under the conditions of creep in gaseous hydrogen,” Fiz.-Khim. Mekh. Mater., 1, Special Issue No. 7, 100–105 (2008).

  13. M. Shul’zhenko, P. Hontarovs’kyi, and I. Melezhyk, “Evaluation of the influence of corrosive media on the kinetics of cracks in elements of power-generating equipment,” Mashynoznavstvo, No. 3–4, 45–49 (2011).

Download references

Author information

Authors and Affiliations

  1. Franko Lviv National University, Lviv, Ukraine

    О. E. Andreikiv & А. R. Lysyk

  2. Karpenko Physicomechanical Institute, Ukrainian National Academy of Sciences, Lviv, Ukraine

    І. Ya. Dolins’ka

  3. Hzhyts’kyi Lviv National University of Veterinary Medicine and Biotechnologies, Lviv, Ukraine

    N. B. Sas

Authors
  1. О. E. Andreikiv
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. І. Ya. Dolins’ka
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. А. R. Lysyk
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. N. B. Sas
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to О. E. Andreikiv.

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 52, No. 5, pp. 99–105, September–October, 2016.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Andreikiv, О.E., Dolins’ka, І.Y., Lysyk, А.R. et al. Computational Model of the Propagation of Stress-Corrosion Cracks at High Temperatures. Mater Sci 52, 714–721 (2017). https://doi.org/10.1007/s11003-017-0014-x

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11003-017-0014-x

Keywords

Search

Navigation