Journal of Mathematical Sciences

, Volume 84, Issue 6, pp 1497–1504 | Cite as

The two-dimensional stressed state of a multiconnected anisotropic body with cavities and cracks

  • S. A. Kaloerov
  • E. S. Goryanskaya


We present a method of determining the two-dimensional generalized stress-strain state and the stress intensity factors for an anisotropic body with cylindrical cavities and plane cracks. The method is based on the use of generalized complex potentials, conformal mappings, the method of least squares, and numerical passage to the limit to determine the stress intensity factors. We apply the method to study the stress-strain state and the change in stress intensity factors as functions of the geometric and elastic characteristics of an orthotropic cylinder with one or two cracks, an infinite anisotropic body with elliptic cavities and cracks, and an infinite body with a curvilinear cavity. Five figures. Six tables.


Stressed State Stress Intensity Intensity Factor Stress Intensity Factor Conformal Mapping 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    S. G. LekhnitskiiTheory of Elasticity of an Anisotropic Body [in Russian], Moscow (1977).Google Scholar
  2. 2.
    S. A. Kaloerov, “An approximate method of determining the stress intensity factors for multiconnected bodies with rectilinear cracks,”Teoret. Prikl. Mekh., No. 24, 13–18 (1993).Google Scholar
  3. 3.
    S. A. Kaloerov and N. M. Neskorodev, “The stressed state of an anisotropic plate with two arbitrarily located elliptic holes or cracks,”Teoret. Prikl Mekh., No. 24, 19–24 (1993).Google Scholar
  4. 4.
    S. A. Kaloerov and E. S. Goryanskaya, “The two-dimensional stressed state of an anisotropic body with a finite number of cavities or cracks,” Preprint, No. 1350-Uk94 (1994).Google Scholar
  5. 5.
    S. A. Kaloerov, “The complex potentials of the two-dimensional theory of elasticity for a multiconnected body with cracks,”Teoret. Prikl Mekh., No. 21, 24–34 (1990).Google Scholar
  6. 6.
    N. I. Muskhelishvili,Some Basic Problems of the Mathematical Theory of Elasticity [in Russian], Moscow (1966).Google Scholar
  7. 7.
    N. M. Neskorodev, “The boundary-element method in problems of the stressed state of an anisotropic plate with holes,”Teoret. Prikl. Mekh., No. 24, 44–50 (1993).Google Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • S. A. Kaloerov
  • E. S. Goryanskaya

There are no affiliations available

Personalised recommendations