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A solution is derived for the non-stationary heat-conduction problem involving a thermosensitive sphere and space with a spherical cavity under convective radial heat exchange with the environment. The influence of the material thermosensitivity on the temperature distribution and the stresses caused by it is analyzed for the cases when force loadings exist and when they are absent on the surface of the bodies considered.Keywords Complex heat exchange · Space with a spherical cavity · Sphere · Thermoelasticity · Thermosensitivity of material

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We have tested the method of linearizing parameters for the determination of temperature fields in thermosensitive structural elements by the example of the determination of a temperature field in a thermosensitive layer through the surfaces of which convective heat exchange with an environment of timevarying temperature occurs. The components of the stress-strain state caused by the found temperature distribution have been determined and investigated.

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Stationary temperature distribution in a three-layer infinite hollow cylinder based on the thermosensitive body model was determined. The cylinder is subjected to the steady temperature on the inner surface and on the outer one is present the convective heat exchange. In the second layer exist heat sources with parabolic dependence on radial coordinate. The components of the thermostressed state have been found. The influence of the temperature dependence of the thermal and mechanical components characteristics of materials on the temperature distribution has been investigated.