Advertisement

Journal of Mathematical Sciences

, Volume 212, Issue 2, pp 121–130 | Cite as

Mathematical Models for Estimating the Residual Life of Plates with Systems of Cracks Under the Action of Long-Term Static Loads, High Temperatures, and Hydrogen

  • O. E. Andreikiv
  • N. V. Yavors’ka
  • V. Z. Kukhar
Article
  • 25 Downloads

We formulate computational models used to determine the durability of plates with systems of cracks under the action of long-term static loads, high temperatures, and hydrogen-containing environments. These models are based on the first law of thermodynamics, i.e., on the balance of energy components and rates of their changes in metallic materials containing macrocracks and subjected to long-term tension, high-temperature field, and hydrogen-containing environments. We also consider specific cases of periodic and doubly periodic systems of cracks.

Keywords

Stress Intensity Factor Process Zone Periodic System Residual Life Creep Crack Growth 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    O. E. Andreikiv and O. V. Hembara, Fracture Mechanics and Durability of Metallic Materials in Hydrogen-Containing Media [in Ukrainian], Naukova Dumka, Kyiv (2008).Google Scholar
  2. 2.
    O. E. Andreikiv, M. B. Kit, and S. V. Khyl’, “Evaluation of the residual life of a cracked plate under block loading,” Fiz.-Khim. Mekh. Mater., 47, No. 4, 62–70 (2011); English translation: Mater. Sci., 47, No. 4, 488–498 (2012).Google Scholar
  3. 3.
    O. E. Andreikiv, R. M. Lesiv, and I. Ya. Dolins’ka, “Dependence of the period of subcritical growth of a creep fatigue crack on the duration of loading cycles,” Fiz.-Khim. Mekh. Mater., 45, No. 4, 31–38 (2009); English translation: Mater. Sci., 45, No. 4, 494–503 (2009).Google Scholar
  4. 4.
    O. E. Andreikiv and N. B. Sas, “A mathematical model for determining the period of the subcritical propagation of cracks of hightemperature creep in solids,” Dopov. NAN Ukr., No. 5, 47–52 (2006).Google Scholar
  5. 5.
    O. E. Andreikiv and N. B. Sas, “Fracture mechanics of metallic plates under conditions of high-temperature creep,” Fiz.-Khim. Mekh. Mater, 42, No. 2, 62–68 (2006); English translation: Mater. Sci., 42, No. 2, 210–219 (2006).Google Scholar
  6. 6.
    O. Andreikiv, L. Dobrovol’s’ka, I. Dolins’ka, and N. Yavors’ka, “Effect of hydrogen on the growth of creep-fatigue cracks in thinwalled structural elements,” Visnyk Ternopil’. Nats. Tekh. Univ., No. 4 (72), 7–15 (2013).Google Scholar
  7. 7.
    L. Babii, O. Student, and A. Zahors’kyi, “Properties of 15Kh2MFA hull steel under the conditions of creep in gaseous hydrogen,” Fiz.-Khim. Mekh. Mater., Special issue No. 7, Vol. 1, 100–105 (2008).Google Scholar
  8. 8.
    A. M. Lokoshchenko, “Creep and long-term strength of metals in corrosive media (Review),” Fiz.-Khim. Mekh. Mater., 37, No. 4, 27–41 (2001); English translation: Mater. Sci., 37, No. 4, 559–572 (2001).Google Scholar
  9. 9.
    G. P. Mel’nikov, Durability of Structural Elements under the Conditions of High Temperatures in Benchmark Tests [in Russian], Atomizdat, Moscow (1979).Google Scholar
  10. 10.
    V. I. Nikitin, Physicochemical Phenomena in the Interaction between Liquid and Solid Metals [in Russian], Atomizdat, Moscow (1967).Google Scholar
  11. 11.
    V. L. Danilov and S. V. Zarubin, “Steel creep and creep rupture strength in environment containing hydrogen,” in: R. K. Penny (editor), Proc. Fourth Internat. Colloq. “Aging of Materials and Methods for the Assessment of Lifetimes of Engineering Plant” (Cape Town, South Africa, Apr. 21–25, 1997), Balkema, Rotterdam (1997), pp. 113–116.Google Scholar
  12. 12.
    F. Garofalo, Fundamentals of Creep and Creep-Rupture in Metals, MacMillan, New York (1970).Google Scholar
  13. 13.
    Yu. Murakami (editor), Stress Intensity Factors. Handbook, Pergamon, Oxford (1987).Google Scholar
  14. 14.
    M. Yatomi, K. M. Nikbin, and N. P. O’Dowd, “Creep crack growth prediction using a damage based approach,” Int. J. Pres. Ves. Pip., 80, No. 7–8, 573–583 (2003).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • O. E. Andreikiv
    • 1
    • 2
  • N. V. Yavors’ka
    • 2
  • V. Z. Kukhar
    • 2
  1. 1.Karpenko Physicomechanical InstituteUkrainian National Academy of SciencesLvivUkraine
  2. 2.Franko Lviv National UniversityLvivUkraine

Personalised recommendations