Inverse Analysis of Thermal Conductivity in Functionally Graded Material Plate with function of Temperature Control and Thermal Bending Relaxation

Abstract

In this paper, an inverse analysis method of thermal conductivity is proposed in functionally graded material plates (FGM plates) with the function of temperature control and thermal bending minimization. This method is based on piecewise nonlinear nonhomogeneous approximate method (PNNA method) developed to obtain accurate analytical solutions for the transient heat conduction problems in FGM plate with arbitrary variation in thermal conductivity through the thickness, and genetic algorithm (GA). The thermal conductivity in PSZ/SUS304 FGM plate with the function mentioned above is inversely determined. The curvature of thermal bending and the temperature distribution in the FGM plate with the thermal conductivity determined inversely are shown.