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International Applied Mechanics

, Volume 36, Issue 9, pp 1235–1241 | Cite as

Separation of an Inclusion in an Orthotropic Composition

  • M. M. Kundrat
Article

Abstract

The problem on separation of a rigid linear inclusion in an orthotropic matrix is analytically solved by using Cherepanov's γ-concept in the theory of cracks. It is assumed that plastic or prefracture zones, which are modeled by discontinuities of tangential displacements along the matrix–inclusion interface, develop near the inclusion apices under loading. The problem is reduced to the Cauchy problem for a differential equation of the first order. The effective length of the inclusion is found for specific values of its initial length and external loads

Keywords

Differential Equation Cauchy Problem External Load Effective Length Initial Length 
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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REFERENCES

  1. 1.
    N. M. Kundrat, “ Local fracture of an orthotropic matrix with a linear inclusion,” Prikl. Mekh., 32, No. 8, 63–71 (1996).Google Scholar
  2. 2.
    S. G. Lekhnitskii, The Theory of Elasticity of an Anisotropic Body [in Russian], Nauka, Moscow (1977).Google Scholar
  3. 3.
    N. I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).Google Scholar
  4. 4.
    G. P. Cherepanov, “ On quasibrittle fracture,” Prikl. Mat. Mekh., 32, No. 6, 1034–1042 (1968).Google Scholar

Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • M. M. Kundrat
    • 1
  1. 1.Rovno UniversityRovnoUkraine

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