Optimization Problem of Material Composition for Nonhomogeneous Plate to Minimize Thermal Stresses When Subjected to Unsteady Heat Supply.

Abstract

For a nonhomogeneous medium, both the heat conduction equation and the governing equations of an associated thermoelastic held are nonlinear forms in general. Therefore, the theoretical treatment of these nonlinear equations is very difficult and an exact solution is almost impossible to obtain. By introducing a laminated composite model, we derived a one-dimensional temperature solution for a nonhomogeneous plate in a tarasient state in our previous paper. In this paper, making use of this temperature solution, the optimization problem of material composition to minimize the transient thermal stress distribution is described. As a numerical example, two kinds of nonhomogeneous plates composed of zirconium oxide/titanium alloy and alumina/aluminum alloy are considered. Then the optimum material composition is determined from calculations. Furthermore, the temperature dependence of material properties is discussed.