We construct Boussinesq functions of the stationary problems of thermoelasticity for half spaces with free rigidly, smoothly, or flexibly fixed boundaries either at zero temperature or in the case of thermal insulation of the boundary under the action of a heat-generating thermal spherical inclusion. For the construction of these functions, we use thermoelastic potentials of displacements in the space with two spherical inclusions.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 63, No. 3, pp. 107–112, July–September, 2020.
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Kit, H.S., Andriychuk, R.М. Thermal Stressed State of a Half Space with Heat Generation in a Spherical Domain. J Math Sci 273, 124–131 (2023). https://doi.org/10.1007/s10958-023-06488-w
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DOI: https://doi.org/10.1007/s10958-023-06488-w