Strength of Materials

, 41:560 | Cite as

Analysis of the limiting state of cylindrical shells with cracks with regard for the contact of crack lips

  • I. P. Shats’kyi
  • M. V. Makoviichuk

We study the stress-strain state and limiting equilibrium of cracked cylindrical shells. The effect of crack closure caused by bending strains is taken into account according to the model of contact of crack lips along a line. By using the energy fracture criterion, we plot the diagrams of limiting equilibrium for any ratio of tensile and bending loads.


cylindrical shell crack contact of crack lips bending strength 


  1. 1.
    V. V. Panasyuk, M. P. Savruk, and A. P. Datsyshin, Distribution of Stresses near Cracks in Plates and Shells [in Russian], Naukova Dumka, Kiev (1976).Google Scholar
  2. 2.
    E. S. Folias, “Fracture of pressure vessels,” in: Thin-Walled Shell Structures [in Russian], Mashinostroenie, Moscow (1980), pp. 481–508.Google Scholar
  3. 3.
    V. A. Osadchuk, Stress-Strain State and Limiting Equilibrium of Shells with Notches [in Russian], Naukova Dumka, Kiev (1985).Google Scholar
  4. 4.
    A. N. Guz’ (Ed.), Mechanics of Composites [in Russian], Vol. 7: A. N. Guz’, A. S. Kosmodamianskii, V. P. Shevchenko, et al., Stress Concentration, A.S.K, Kiev (1998).Google Scholar
  5. 5.
    I. P. Shatskii, “Problem of a notch whose edges are in contact in a shallow shell subjected to bending,” Izv. RAN. Mekh. Tverd. Tela, No. 5, 164–173 (1998).Google Scholar
  6. 6.
    I. P. Shats’kyi and M. V. Makoviichuk, “Contact interaction of crack lips in shallow shells subjected to bending with tension,” Fiz.-Khim. Mekh. Mater., 41, No. 4, 45–52 (2005).Google Scholar
  7. 7.
    I. P. Shats’kyi, “Closure of a transverse crack in a shallow cylindrical shell in bending,” Mat. Met. Fiz.-Mekh. Polya, 43, No. 2, 149–154 (2005).Google Scholar
  8. 8.
    I. P. Shats’kyi, “Closure of a longitudinal crack in a shallow cylindrical shell in bending,” Fiz.-Khim. Mekh. Mater., 41, No. 2, 45–48 (2005).Google Scholar
  9. 9.
    M. V. Makoviichuk, “Integral equations of the problem of closure of collinear cracks in a shallow shell in bending,” in: Abstracts of the Pidstryhach Conference of Young Scientists on the Contemporary Problems of Mechanics and Mathematics [in Ukrainian], Lviv (2005), pp. 80–81.Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  • I. P. Shats’kyi
    • 1
  • M. V. Makoviichuk
    • 1
  1. 1.Ivano-Frankivs’k Sector of the Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of UkraineIvano-Frankivs’kUkraine

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