Transient Temperature and Thermal Stresses in a Functionally Graded Plate Subjected to Intermittent Heating.

Abstract

Analytical solutions are presented for temperature and thermal stresses in a functionally graded plate subjected to intermittent heating on its surface. The nonhomogeneous thermal and elastic properties of the functionally graded plate are assumed to be symmetric with respect to the midplane. The transient temperature field is obtained from the solution for a transient heat conduction problem in the same functionally graded plate heated continually on its surface that is analyzed by Vodicka's method. Associated thermal stresses are analyzed based on Rogers and Spencer's solutions which are expressed in terms of the solution to the approximate, two-dimensional, thin-plate, governing equations for an equivalent homogeneous plate. Numerical calculations are carried out for the transient temperature and thermal stress distributions in PSZ/SUS 304/PSZ functionally graded plates subjected to intermittent heating on both plate surfaces.