Temperature and stress distributions in a hollow cylinder of functionally graded material: The case of temperature-independent material properties

We have presented a numerical technique for analyzing one-dimensional trans ient temperature distributions in a circular hollow cylinder that was compo sed of functionally graded ceramic-metal-based materials, without consideri ng the temperature-dependent material properties. The functionally graded m aterial (PGM) cylinder was assumed to be initially in a steady state of gra dient temperature; the ceramic inner surface was exposed to high temperatur e, and the metallic outer surface, which was associated with its in-service performance, was exposed to low temperature. Then, the FGM cylinder was co oled rapidly on the ceramic surface of the cylinder, using a cold medium. T he transient temperature and related thermal stresses in the FGM cylinder w ere analyzed numerically for a model of the mullite-molybdenum FGM system. The technique for analyzing the temperature distribution is quite simple an d widely applicable for various boundary conditions of FGMs, in comparison with methods that have been proposed recently by other researchers.