Analysis of Thermoelastic Deformation of a Thin Hollow Circular Disk Due to Partially Distributed Heat Supply

We consider a thin hollow circular disk occupying the space D: a ≤ r ≤ b, −h/2 ≤ z ≤ h/2 and discuss the thermoelastic problem. The initial temperature of the disk is the same as the temperature of the surrounding medium, which is kept constant. The fixed circular edges are thermally insulated. The disk is subjected to a partially distributed and axisymmetric heat supply on the upper surface, while the lower surface is thermally insulated. To develop the analysis for the temperature field, we introduce the method of integral transforms. The results, obtained in a series form in terms of Bessel functions, are illustrated numerically.