Abstract
In this paper, one-dimensional transient heat conduction and thermal bending problems under an axisymmetric condition are developed theoretically for a functionally graded circular plate due to a uniform heat supply from its surfaces. We construct the approach for the multipurpose optimization of the nonhomogeneous material composition in a functionally graded circular plate considering the relaxation of the thermal stress distribution and the improvement of the heat resistance. We deal with this multipurpose optimization using the weighting method. Using these analytical solutions for the temperature field and the associated thermoelastic one, and the approach for the multipurpose optimization of the nonhomogeneous material composition, numerical calculations of the optimal material composition are carried out for a titanium alloy(Ti-6 Al-4 V)/zirconium oxide(ZrO2) functionally graded circular plate subjected to a uniform heat supply from one side of its surface. The trade-off relationship between the maximum absolute stress ratio and the maximum heat flux is elucidated. It is shown that this approach is useful for the multipurpose optimal design of nonhomogeneous material composition considering both the securement of strength against thermal stress and the improvement of heat resistance against thermal load.
