Journal of Mathematical Sciences

, Volume 215, Issue 2, pp 254–265 | Cite as

Influence of the Variable Heat-Transfer Coefficients on Thermal Stresses in a Finite Cylindrical Shell

  • B. S. Khapko
  • A. I. Chyzh

We study the thermal stressed state of a finite cylindrical shell (with conditions of sliding restraint imposed on its end faces) caused by the difference of temperatures of the ambient medium on the front faces of the shell and the coordinate-dependent heat-transfer coefficients on these faces. We propose a method for the reduction of the boundary-value problem of heat conduction to a coupled system of Fredholm integral equations of the second kind and present the results of numerical analysis of the distributions of mean temperature and temperature moment and the values of parameters induced by these distributions, namely, the deflection, elongation, forces, and bending moments.


Thermal Stress Cylindrical Shell Ambient Medium Fredholm Integral Equation Circular Cylindrical Shell 
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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • B. S. Khapko
    • 1
  • A. I. Chyzh
    • 1
  1. 1.Pidstryhach Institute for Applied Problems in Mechanics and MathematicsUkrainian National Academy of SciencesLvivUkraine

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