Vovk O. Analytical-numerical solving of thermoelasticity problems under convective-radial heat exchange

An analytical-numerical procedure has been proposed to calculate the thermostressed state of thermosensitive bodies of simple geometric shape (the bodies are bounded by the coordinate surfaces or their fragments) subject to convective-radial heat exchange through the bounding surfaces with the surroundings and simultaneous force loading and also to define the temperature field of opaque lamellate shell under radial heat exchange with another shell. The constructed models and developed methods have been used to define the thermostressed state of thermosensitive: layer, solid and shallow spheres, space with a spherical cavity, plate. The solutions to the problems of radial-conductive heat exchange have been constructed for a spherical and prismatic shell. The influence of thermosensitivity of the bodies material and presence of force loadings on their surfaces on the character and value of temperature distribution and components of the stress-strain state has been studied.