Probability-type strength criteria for a body having stochastically distributed disk-type cracks subject to axisymmetric loading

  • P. M. Vitvits'kii
  • R. I. Kvit


Equations have been derived and diagrams have been constructed for the limiting state in axisymmetric loading for a body containing internal diskoid cracks having random radius and orientation. The diagrams correspond to a given failure probabilitv and mean values for the failure stress. The most likely values for the failure stresses have been determined for several cases. A study is made of how the failure criterion is affected by the structural inhomogeneity, the volume, and the form (complexity) of the state of stress.


Failure Criterion Failure Stress Structural Inhomogeneity Strength Criterion Axisymmetric Loading 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    P. M. Vitvits'kii, “Determining failure probability in axisymmetric loading of a body containing internal disk-type cracks,” Fiz.-Khim. Mekh. Mater., No. 6, 50–57 (1989).Google Scholar
  2. 2.
    P. M. Vitvits'kii and S. Yu. Popina, Strength and Brittle-Failure Criteria for Stochastically Defective Bodies [in Russian], Naukova Dumka, Kiev (1980).Google Scholar
  3. 3.
    J. C. Fisher and J. M. Hollomon, “A statistical theory of fracture,” Metals Teehnol.,14, No. 5, 1–16 (1947).Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • P. M. Vitvits'kii
    • 1
  • R. I. Kvit
    • 1
  1. 1.Karpenko Physicomechanics InstituteAcademy of Sciences of the Ukrainian SSRL'vov

Personalised recommendations