Journal of Mathematical Sciences

, Volume 88, Issue 3, pp 413–418 | Cite as

The quasisteady contact problem of thermoelasticity for a two-layered cylinder under frictional heating and nonideal thermal contact

  • D. V. Grilits'kii
  • Yu. O. Pir'ev
  • Yu. I. Mandzik


In this article we give an analytic solution of the polar-symmetric quasisteady thermoelastic contact problem for a two-layer hollow circular cylinder. The problem is solved taking account of frictional heat production and thermal resistance on the mutually tangent surfaces of the components of the cylinder. On the exterior boundary of the two-layer system we study the condition of Winkler elastic fixing. In the solution we apply the Laplace transform with respect to time. We carry out a numerical analysis whose results are shown as graphs.


Thermal Resistance Circular Cylinder Contact Problem Heat Production Thermal Contact 
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Literature Cited

  1. 1.
    D. V. Grilits'kii and V. P. Baran. “On the statement of contact problems of thermoelasticity with heat emission under nonideal thermal contact of bodies,”Vsin. L'viv. Univ. Ser. Mekh-Mat,27, 10–13 (1987).Google Scholar
  2. 2.
    D. V. Grilits'kii and R. D. Kul'chits'kii-Zhigailo, “The two-dimensional contact problem of thermoelasticity for a two-layer hollow circular cylinder with heat production,”Fiz.-Khim. Mekh. Mater., No. 6, 24–30 (1994).Google Scholar
  3. 3.
    Yu. O. Pir'ev, D. V. Grilits'kii, and R. I. Mokrik, “The nonsteady temperature field and the thermoelastic state of a two-layered hollow cylinder under frictional heating,”Prikl. Mekh.,31, No. 1, 44–50 (1995).Google Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • D. V. Grilits'kii
  • Yu. O. Pir'ev
  • Yu. I. Mandzik

There are no affiliations available

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