Unsteady Thermal Stress Analysis of an Inhomogeneous Rectangular Plate Due to Cyclic Heat Supply

-When Temperature Change on Bottom Surface is kept at Zero-

Abstract

An unsteady thermal stress analysis of an inhomogeneous rectangular plate in which material properties are given in a form of power of a coordinate in the thickness direction has been developed. Analytical solution of temperature change in the plate with arbitrary inhomogeneous material properties has been derived when the plate is subjected to sinusoidally time varying temperature change on the upper surface, and is kept at zero temperature change on the bottom surface. Thermal stresses and deflection of the plate due to the temperature change are developed theoretically under the simply supported condition at the whole circumference. Performing numerical calculation, the effect of inhomogeneity in specific heat capacity on the thermoelastic behavior of the rectangular plate is discussed.