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Nonstationary contact problem of thermoelasticity for bodies heated to different temperatures

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Abstract

The solution of a nonstationary contact problem of thermoelasticity for bodies heated to different temperatures is obtained by using the Laplace-Hankel integral transformation. The expression for contact pressure is deduced in the form of an explicit dependence on two unknown functions: the distribution of heat flow and the radius of the contact zone. An algorithm of simplified solution of the contact problem is proposed.

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REFERENCES

  1. D. L. George I. N. Sneddon (1962) ArticleTitleThe axisymmetric Boussinesq problem for a heated punch J. Math. Phys. 11 665–689

    Google Scholar 

  2. N. M. Borodachov (1962) ArticleTitleOn the solution of a contact problem of thermoelasticity in the case of axial symmetry Mekh. Mashinostr. 5 86–90

    Google Scholar 

  3. I. N. Sneddon, The Use of Transform Methods in Elasticity, Tech. Rep., North Carolina State College (1964), pp. 150–156.

  4. N. M. Borodachov (1964) ArticleTitleThermoelastic Hertz problem in the case of axial symmetry Mekh. Mashinostr. 5 83–87

    Google Scholar 

  5. J. R. Barber (1978) ArticleTitleContact problems involving a cooled punch J. Elast. 8 409–423

    Google Scholar 

  6. J. R. Barber M. Comninou (1989) Thermoelastic contact problems R. B. Hetnarski (Eds) Thermal Stresses Elsevier Amsterdam 1–105

    Google Scholar 

  7. J. Dundurs C. Panek (1976) ArticleTitleHeat conduction between bodies with wavy surfaces Int. J. Heat Mass Transfer 19 731–736

    Google Scholar 

  8. Z. S. Olesiak, “O zagadnieniach, w których napręźenia w istotny sposób zaleźą od kierunku strumienia ciepla,” in: Zagadnienia Maszyn Przeplywowych, Gdansk (1993), pp. 545–557.

  9. R. Kulchytsky-Zhyhailo Z. Olesiak (2000) ArticleTitleWhen can we avoid the paradoxes in the solution to the problems of two thermoelastic cylinders in contact J. Theor. Appl. Mech. 38 IssueID2 297–314

    Google Scholar 

  10. R. Kulchytsky-Zhyhailo Z. Olesiak O. Yevtushenko (2001) ArticleTitleOn thermal contact of two axially symmetric elastic solids J. Elast. 63 1–17

    Google Scholar 

  11. M. Comninou J. Dundurs (1979) ArticleTitleOn the Barber boundary conditions for thermoelastic contact Trans. ASME, J. Appl. Mech. 46 849–853

    Google Scholar 

  12. M. Comninou J. R. Barber (1984) ArticleTitleThe thermoelastic Hertz problem with pressure dependent contact resistance Int. J. Mech. Sci. 26 IssueID11/12 549–554

    Google Scholar 

  13. Z. S. Olesiak A. A. Yevtushenko R. D. Kulchytsky-Zhyhailo (1995) ArticleTitleOn the contact of two heated bodies Fiz.-Khim. Mekh. Mater. 31 IssueID5 32–39

    Google Scholar 

  14. Y. S. Pidstryhach (1963) ArticleTitleConditions of thermal contact of solid bodies Dokl. Akad. Nauk Ukr. RSR 7 872–874

    Google Scholar 

  15. Y. S. Pidstryhach (1963) ArticleTitleTemperature field in a system of solid bodies conjugated via a thin intermediate layer Inzh.-Fiz. Zh. 1 IssueID10 129–136

    Google Scholar 

  16. R. D. Kul’chyts’kyi-Zhyhailo (2000) ArticleTitleDistribution of stresses in axisymmetric contact problems with regard for heat release Tren. Iznos 21 IssueID3 238–245

    Google Scholar 

  17. W. Nowacki (1986) Thermoelasticity Pergamon Press-PWN Warszawa

    Google Scholar 

  18. A. A. Yevtushenko R. D. Kulchytsky-Zhyhailo (1995) ArticleTitleDetermination of limiting radii of the contact area in axisymmetric contact problems with frictional heat generation J. Mech. Phys. Solid. 43 IssueID4 599–604

    Google Scholar 

  19. A. A. Yevtushenko R. D. Kulchytsky-Zhyhailo (1997) ArticleTitleSimplified solution for elliptic contact problem with wear Int. J. Eng. Sci. 35 IssueID14 1327–1334

    Google Scholar 

  20. R. Kulchytsky-Zhyhailo (2001) ArticleTitleA simplified solution for three-dimensional contact problem with heat generation Int. J. Eng. Sci. 39 IssueID3 303–315

    Google Scholar 

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Authors and Affiliations

  1. Warszawa University, Warszawa

    Z. Olesiak & R. Kul’chyts’kyi-Zhyhailo

  2. Bialystok Technical University, Bialystok, Poland

    Z. Olesiak & R. Kul’chyts’kyi-Zhyhailo

Authors
  1. Z. Olesiak
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  2. R. Kul’chyts’kyi-Zhyhailo
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 40, No. 3, pp. 51–61, May–June, 2004.

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Olesiak, Z., Kul’chyts’kyi-Zhyhailo, R. Nonstationary contact problem of thermoelasticity for bodies heated to different temperatures. Mater Sci 40, 352–364 (2004). https://doi.org/10.1007/PL00021999

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  • DOI: https://doi.org/10.1007/PL00021999

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