Materials Science

, Volume 31, Issue 5, pp 567–575 | Cite as

On the contact of two heated bodies

  • Z. S. Olesiak
  • O. O. Evtushenko
  • R. D. Kul'chyts'kyi-Zhyhailo


The axially symmetric Hertz thermoelastic contact problem is solved under the assumption that the contact heat resistance is inversely proportional to pressure. We consider heat flows directed both inside the body whose coefficient of thermal distortion is smaller and in the opposite direction.


Opposite Direction Heat Flow Heat Resistance Contact Problem Contact Heat 
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  1. 1.
    J. R. Barber, “Indentation of a semi-infinite solid by a hot sphere,”Int. J. Mech. Sci.,15, No. 10, 813–819 (1973).Google Scholar
  2. 2.
    K. Johnson,Contact Mechanics, Cambridge University Press, Cambridge (1987).Google Scholar
  3. 3.
    J. R. Barber, “Indentation of an elastic half space by a cooled flat punch,”Quart. J. Mech. Appl. Math.,35, No. 1, 141–154 (1982).Google Scholar
  4. 4.
    V. P. Levitskii and V. M. Onyshkevich, “Pressure exerted by a hard punch with flat base heated to a constant temperature on the elastic half space,”Prikl. Mekh.,28, No. 7, 43–50 (1992).Google Scholar
  5. 5.
    J. R. Barber, “Contact problems involving a cooled punch,”J. Elasticity,8, No. 4, 409–423 (1978).Google Scholar
  6. 6.
    J. R. Barber and M. Comninou, “Thermoelastic contact problems,” in: R. R. Hetnarsky (editor),Thermal Stresses III, Elsevier, Amsterdam (1989), pp. 1–105.Google Scholar
  7. 7.
    Z. S. Olesiak, “On the problems in which the stresses depend considerably on the direction of heat flux,”Zagad. Masz. Przeplyw., 545–557 (1994).Google Scholar
  8. 8.
    M. V. Generalov, B. A. Kudryavsev, and V. Z. Parton, “Thermoelasticity contact problem for rotating bodies,”Izv. Akad Nauk SSSR, Mekh. Tverd. Tela, No. 3, 46–52 (1976).Google Scholar
  9. 9.
    Yu. P. Shlykov, E. A. Ganin, and S. N. Tsarevskii,Contact Thermal Resistance [in Russian], Énergiya, Moscow (1977).Google Scholar
  10. 10.
    G. Duvaut, “Free boundary problem connected with thermoelasticity and unilateral contact,” in: F. Severi (editor),Free Boundary Problems, Vol. 2, Inst. Naz. Alta Mat., Pavia (1979), pp. 217–236.Google Scholar
  11. 11.
    Ya. S. Uflyand,Method of Coupled Equations in Problems of Mathematical Physics [in Russian], Nauka, Leningrad (1977).Google Scholar
  12. 12.
    G. A. Korn and T. M. Korn,Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York (1968).Google Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • Z. S. Olesiak
  • O. O. Evtushenko
  • R. D. Kul'chyts'kyi-Zhyhailo

There are no affiliations available

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