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Some problems of mathematical modeling in thermomechanics of bodies of various transparencies subjected to thermal irradiation

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Features of the statement of problems of thermomechanics for solids of various transparencies for thermal radiation are presented. Approximate approaches to the calculation of temperature in semitransparent solids are analyzed. We investigate the influence of the effects of radiation and transfer of thermal energy on temperatures and stresses in semitransparent and opaque solids on a model problem for an irradiated layer.

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Authors and Affiliations

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

    A. R. Hachkevych, R. F. Terletskii & M. B. Brukhal’

  2. Technical University of Opole, Opole, Poland

    A. R. Hachkevych

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  1. A. R. Hachkevych
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  2. R. F. Terletskii
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  3. M. B. Brukhal’
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 51, No. 3, pp. 202–219, July–September, 2008.

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Hachkevych, A.R., Terletskii, R.F. & Brukhal’, M.B. Some problems of mathematical modeling in thermomechanics of bodies of various transparencies subjected to thermal irradiation. J Math Sci 165, 403–425 (2010). https://doi.org/10.1007/s10958-010-9808-1

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