表面一様加熱を受ける不均質円板の熱応力緩和と遮熱性向上を考慮した材料組成多目的最適化問題

概要

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In this paper, one-dimensional transient heat conduction and thermal bending problems under the axisymmetic condition are developed theoretically for a nonhomogeneous circular plate due to a uniform heat supply from its surfaces. We constructed the approach for multiobjective optimization of nonhomogeneous material composition for a functionally graded circular plate, taking into account the thermal stress relaxation and improvement of the heat resistance. We have dealt with this multiobjective optimization using the weighting method. Using both these analytical solutions for the temperature field and the associated thermoelastic one, and the approach for multiobjective optimization of a nonhomogeneous material composition, numerical calculations of optimal material composition are carried out for a titanium alloy/zirconium oxide functionally graded circular plate subjected to a uniform heat supply from one side of its surface. The tradeoff relationship between the maximum absolute stress ratio and the maximum heat flux is elucidated. It is shown that this approach is useful for the multiobjective optimal design of nonhomogeneous material composition, taking into account both securement of strength against thermal stress and improvement of heat resistance against thermal loads.
1997-10-25