International Applied Mechanics

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

Separation of an Inclusion in an Orthotropic Composition

  • M. M. Kundrat


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


Differential Equation Cauchy Problem External Load Effective Length Initial Length 
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    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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