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Method for calculating nonstationary temperature stresses in a thermosensitive half-space

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On the basis of a model of a thermosensitive body, we propose an analytic-numerical method for the construction of the solution of an axisymmetric quasistationary problem of thermoelasticity for a half-space heated by an instantaneous linear heat source and exchanging heat through a bounding surface by convective heat transfer with the environment. Using the perturbation method, we reduce the problem to the solution of a sequence of boundary-value problems for the Poisson equations, whose solutions are constructed in the form of rapidly convergent series for each approximation by using expansions in multiple probability integrals.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    V. S. Popovych & N. O. Horechko

Authors
  1. V. S. Popovych
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  2. N. O. Horechko
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 53, No. 2, pp. 137–146, April–June, 2010.

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Popovych, V.S., Horechko, N.O. Method for calculating nonstationary temperature stresses in a thermosensitive half-space. J Math Sci 178, 531–544 (2011). https://doi.org/10.1007/s10958-011-0567-4

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  • DOI: https://doi.org/10.1007/s10958-011-0567-4

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