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Journal of Mathematical Sciences

, Volume 92, Issue 5, pp 4154–4156 | Cite as

On the problem of the legitimacy of various models of cracks for an anisotropic plate

  • S. A. Kaloerov
  • E. S. Goryanskaya
Article
  • 11 Downloads

Abstract

On the basis of numerical studies of the solution of the problem for an anisotropic plate with an arbitrary elliptic hole it is shown that a rectilinear slit can be modeled as an ellipse when the ratio of the semiaxes is less than 0.001, and as a triangle or other figure when the ratio of the sides is less than 0.001. It is shown that a slit cannot be modeled as a rectangular hole with any nonzero width.

Two figures. Bibliography: 5 titles.

Keywords

Torque Stress Intensity Factor Isosceles Triangle Internal Crack Elliptic Hole 
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.

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Literature Cited

  1. 1.
    S. A. Kaloerov and E. S. Goryanskaya, “The two-dimensional stressed state of a multiconnected anisotropic body with cavities and cracks,”Teoret. Prikl. Mekh., No. 25, 45–56 (1995).MATHGoogle Scholar
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    S. G. Lekhnitskii,Theory of Elasticity of an Anisotropic Body, Holden-Day, San Francisco (1963).Google Scholar
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    S. A. Kaloerov, “The problem of the theory of elasticity for a multiconnected anisotropic plate with holes and internal cracks,”Prikl. Mekh. 19, No. 9, 71–78 (1983).MATHMathSciNetGoogle Scholar
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    S. A. Kaloerov, “The stressed state of a multiconnected anisotropic plate with cracks,”Teoret. Prikl. Mekh., No. 24, 25–33 (1983).Google Scholar
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    E. K. Ashkenazi and E. V. Ganov,Anisotropy of Structural Materials [in Russian], Moscow (1980).Google Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

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

There are no affiliations available

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