一次元非定常温度場における不均質平板の熱応力緩和のための材料組成最適化問題

概要

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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.
一般社団法人日本機械学会の論文
1996-01-25