Temperature distributions in a stress-relief-type plate of functionally graded material under thermal shock

In this paper, a numerical technique for analyzing one-dimensional steady-s tate and transient temperature distributions in a plate of functionally gra ded ceramic-metal-based materials (FGMs), in relation to both the temperatu re-dependent thermal properties and continuous/gradual variation of the the rmal properties of the FGM, is presented. The FGM plate is assumed to initi ally have a steady-state temperature gradient, being exposed to high temper ature on the ceramic surface and to low temperature on the metallic surface , similar to its in-service state. The FGM plate is then rapidly cooled fro m the ceramic surface side by cold medium. The steady-state and transient t emperature distributions in the FGM, plate are analyzed numerically for a m odel alumina-nickel FGM system. The proposed analytical technique for deter mining the temperature distribution is relatively simple and widely applica ble compared with methods recently proposed by other researchers.