Abstract
By using generalized functions, we obtain the set of thermoelasticity equations for a hollow thermosensitive, transversally isotropic sphere with a thin foreign inclusion. By approximating the thermoelastic characteristics of the basic material and the material of the inclusion by piecewise-constant functions, we deduce a differential equation with coefficients of the type of impulse functions to determine a radial displacement. We carry out the numerical analysis of the temperature and level of thermal stresses in a system made of graphites.
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Semerak, F.V., Sikora, O.V. & Ivanyk, E.G. Thermoelasticity of a Thermosensitive Hollow Anisotropic Sphere with a Thin Foreign Inclusion. Journal of Mathematical Sciences 109, 1273–1282 (2002). https://doi.org/10.1023/A:1013709114368
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DOI: https://doi.org/10.1023/A:1013709114368