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

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.

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Correspondence to O. O. Bobylev Jr..

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 56, No. 4, pp. 149–157, October–December, 2013.

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Bobylev, O.O., Loboda, V.V. Axisymmetric Contact Problem of Thermoelasticity for a Three-Layer Elastic Cylinder with Rigid Nonuniformly Heated Core. J Math Sci 208, 448–459 (2015). https://doi.org/10.1007/s10958-015-2459-5

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Keywords

  • Contact Problem
  • Heat Conduction Problem
  • Elastic Cylinder
  • Rigid Core
  • Heated Part