A mathematical model for the description of coupled processes of radiative heat exchange, heat conduction, and deformation in semitransparent bodies under thermal radiation is generalized for the case of these bodies with closed structural cavities. The model is based on the phenomenological theory of radiation and theory of quasistatic thermoelasticity in the description of radiation properties of materials by spectral characteristics and taking into account properties of the medium on cavities. As an example, we investigate the thermostressed state of a hollow sphere filled by gas under homogeneous radiation from a heated external spherical surface.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 53, No. 2, pp. 108–121, April–June, 2010.
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Hachkevych, O.R., Humenchuk, O.B. & Gajek, M. Thermomechanical behavior of semitransparent bodies with cavities under thermal radiation. J Math Sci 178, 496–511 (2011). https://doi.org/10.1007/s10958-011-0565-6
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DOI: https://doi.org/10.1007/s10958-011-0565-6