Journal of Mathematical Sciences

, Volume 84, Issue 6, pp 1525–1527 | Cite as

The heat-conduction problem for a shell with a system of diathermanous cuts

  • A. S. Gol'tsev
  • A. V. Lobachev


Using the two-dimensional Fourier transform and the elementary theory of distributions, we solve the heat-conduction problem for shells with a system of diathermanous cuts. We take account of heat exchange according to Newton's law on the lateral surfaces of the shells. For a spherical shell with two cuts of identical length we carry out numerical studies of the influence of the thermophysical properties of one cut on the jump in temperature of the adjacent cut. Three figures.


Fourier Fourier Transform Heat Exchange Lateral Surface Thermophysical Property 
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Literature Cited

  1. 1.
    G. S. Kit and M. G. Krivtsun,Two-dimensional Problems of Thermoelasticity for Bodies with Cracks [in Russian], Kiev (1983).Google Scholar
  2. 2.
    A. S. Gol'tsev and V. P. Shevchenko, “Thermal conductivity and thermoelasticity of shells with a diathermanous cut”,Izv. Akad. Nauk SSSR, Ser. Mekh. Tver. Tela, No. 4, 153–160 (1985).Google Scholar
  3. 3.
    Ya. S. Podstrigach and R. N. Shvets,Thermoelasticity of Thin Shells [in Russian], Kiev (1978).Google Scholar
  4. 4.
    V. K. Khizhnyak and V. P. Shevchenko,Mixed Problems of the Theory of Plates and Shells [in Russian], Donetsk (1980).Google Scholar
  5. 5.
    A. S. Gol'tsev, T. F. Kharabeshlik and V. P. Shevchenko, “The problem of thermal conductivity for orthotropic shells with a system of cuts”,Teoret. Prikl. Mekh., No. 24, 50–54 (1993).Google Scholar
  6. 6.
    A. I. Kalandiya,Mathematical Methods of Two-dimensional Elasticity [in Russian], Moscow (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • A. S. Gol'tsev
  • A. V. Lobachev

There are no affiliations available

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