Journal of Mathematical Sciences

, Volume 208, Issue 4, pp 448–459 | Cite as

Axisymmetric Contact Problem of Thermoelasticity for a Three-Layer Elastic Cylinder with Rigid Nonuniformly Heated Core

  • O. O. BobylevJr.
  • V. V. Loboda

We consider an axisymmetric contact problem for a finite three-layer elastic cylinder with rigid nonuniformly heated core under the conditions of external convective heat transfer. The conditions of perfect unilateral mechanical contact and imperfect thermal contact are given on the surfaces of possible contact of the cylinder with the core and between the layers. The variational formulation of the problem is obtained. Finally, we propose an iterative numerical algorithm in each iteration of which it is necessary to solve the uncoupled elasticity and heat-conduction problems and the finite-element method is used for their discretization.


Contact Problem Heat Conduction Problem Elastic Cylinder Rigid Core Heated Part 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • O. O. BobylevJr.
    • 1
  • V. V. Loboda
    • 1
  1. 1.Honchar Dnipropetrovsk National UniversityDnipropetrovskUkraine

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