Inverse Determination of Thermal Conductivity in Functionally Graded Material Plates with a Prescribed Temperature Distribution

Abstract

In this paper, an inverse determination method of thermal conductivity is proposed in functionally graded material plates (FGM plates) with the prescribed temperatures at the inner points. This method is based on piecewise nonhomogeneous approximate method (PNA method) developed in order to obtain an accurate analytical solution for the transient heat conduction problem in the FGM plate with arbitrary variation in thermal properties through the thickness by present authors and genetic algorithm (GA). The thermal conductivity in PSZ/SUS304 FGM plate is determined inversely. The ratio of the thermal stress to bending strength is estimated for the FGM plate with the thermal conductivity determined and the ceramic-rich FGM plate suitable for the relaxation of thermal stress.