Three-Dimensional Analysis of Transient Thermal Stresses in a Nonhomogeneous Plate.

Abstract

This paper is concerned with an approximate three-dimensional analysis of thermal stresses in a nonhomogeneous plate with temperature variation and nonhomogeneous properties only in the thickness direction. The nonhomogeneous plate is approximated as a laminated plate consisting of different homogeneous and isotropic layers which are perfectly bonded to each neighboring layer. The transient temperature field is analyzed by Vodicka's method for a heat conduction problem in one-dimensional composite regions. The nonhomogeneous thermal and elastic properties are restricted to those symmetric with respect to the mid-plane of the plate. The three-dimensional thermal stresses are analyzed using the solutions developed by Rogers and Spencer, which are expressed in terms of the solution of the approximate, two-dimensional, thin-plate, governing equations for an equivalent homogeneous plate.