Inverse transient thermoelastic deformations in thin circular plates

This paper deals with the determination of unknown heating temperatures and temperature distributions on the upper surface of a thin circular plate, defined as 0 ≤ r ≤a, —b/2 ≤z ≤b/2. The expressions of unknown heating temperatures and temperature distributions are obtained in series form, involving Bessel’s functions with the help of the integral transform technique. Thermoelastic deformations are discussed with the help of temperature and are illustrated numerically.