The thermoelastic state of a thermosensitive sphere and space with a spherical cavity subject to complex heat exchange

摘要

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.