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Materials Science

, Volume 48, Issue 1, pp 20–28 | Cite as

Plane deformation of a body containing a ribbon fuel element

  • H. S. Kit
  • O. V. Halazyuk
Article

We propose a new formulation and a method for the solution of the plane problems of stationary heat conduction and thermoelasticity for bodies containing thin ribbon inclusions under the conditions of plane deformation. Ribbon elements are modeled by a sheet of heat sources and the temperature field created by these sources is determined from the solutions of integral equations of the first kind. It is shown that the set of solutions of these equations always contains the classical solution specifying the root-singular distribution of the heat flows on the boundary of the region of heat release.

Keywords

stationary problem of heat conduction plane deformation ribbon fuel element sheet of heat sources integral equation of the first kind 

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Copyright information

© Springer Science+Business Media, Inc. 2012

Authors and Affiliations

  1. 1.Pidstryhach Institute for Applied Problems of Mechanics and MathematicsUkrainian National Academy of SciencesLvivUkraine
  2. 2.Karpenko Physicomechanical InstituteUkrainian National Academy of SciencesLvivUkraine

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