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Journal of Mathematical Sciences

, Volume 171, Issue 5, pp 682–692 | Cite as

Interaction of a crack with a cylindrical inclusion in heating and tension of a body

  • M. S. Chernyak
Article

We consider the plane deformation of an infinite body with a cylindrical inclusion whose mechanical and thermophysical characteristics differ from those of the material of the body for a heat flow and tensile forces given far from the inclusion. Stress intensity factors in the vicinity of a crack located on the continuation of the diameter of the inclusion are determined by the solution of a singular integral equation using the method of mechanical quadratures. We investigate the ratio of the length of the crack to the distance between it and the inclusion at which the regular kernel of the integral equation can be neglected in calculations. In this case, analytic formulas for the determination of the stress intensity factors are obtained.

Keywords

Stress Intensity Factor Stress Intensity Factor Singular Integral Equation Linear Thermal Expansion Coefficient Thermophysical Characteristic 
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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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  • M. S. Chernyak
    • 1
  1. 1.Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of SciencesLvivUkraine

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