Analysis of Temperature/Stress Distribution in a Stress-Relief-Type Functionally Graded Material Plate under Thermal Shock

This paper presents a numerical technique to analyze one-dimensional steady-state and transient temperature distributions in a plate of functionally graded ceramic-metal based materials (FGM) in relation to both the temperature-dependence and continuous/gradual variation of the thermo-mechanical properties of the FGM. The FGM plate is assumed to be in steady state of temperature gradient initially, suffering high temperature on the ceramic surface and low temperature on the metallic surface associated with its in-service environment. The FGM plate is then cooled on the ceramic surface of the plate rapidly by cold air. The transient temperature and related thermal stresses in the FGM plate are analyzed numerically for a model of alumina-nickel based FGM. The analytical technique of temperature distribution proposed here is simple and applicable widely compared with the previous methods proposed by other researchers.