Failure probability under axisymmetric loading in a body having internal diskoid cracks

  • P. M. Vitvits'kii


Formulas have been derived for the failure probability of a body containing internal (structural) disk-type cracks of random size and orientation on axisymmetric loading. The calculations are based on the assumption that the cracks do not interest, where Sack's criterion is used with radius and orientation-angle distributions. Trends in the failure probability are related to the load, state of strain, material strength and structural characteristics, and body size (number of cracks in the body).


Body Size Structural Characteristic Failure Probability Material Strength Random Size 
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Literature cited

  1. 1.
    P. M. Vitvitskii and S. Yu. Popina, Strength and Brittle-Failure Criteria for Stochastically Defective Bodies [in Russian], Naukova Dumka, Kiev (1980).Google Scholar
  2. 2.
    J. C. Fisher and J. M. Hollomon, “A statistical theory of fracture,” Metals Technol.,14, No. 6, 1–16 (1947).Google Scholar
  3. 3.
    I. N. Sneddon, “A note on the problem of the penny-shaped crack,” Proc. Cambridge Philos. Soc.,14, No. 2, 609–611 (1965).Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • P. M. Vitvits'kii
    • 1
  1. 1.Karpenko Physicomechanics InstituteAcademy of Sciences of the Ukrainian SSRLvov

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