Analysis on thermal stress and heat conduction of functionally graded cylindrical shell

Abstract

Ceramic-metal based functional graded materials (FGMs) are expected to be used in the design of airplane tail nozzle，not only because of their material characteristics varies with the changing of thickness continuously，but also because of the speed of heat conduction of ceramic material in the inner ring and the high strength of metal in the outer ring. The purpose of this article is to discuss the impacts of different heat flux density，ceramic volume fraction index and temperature on the thermal stress and heat conduction of FGMs shell. Firstly，the physical property model of FGMs was set up，and the effects of different kinds of parameters on the thermal physical properties were discussed. Thereafter，the thermal stress equation of the FGMs cylindrical shell was derived，and the change law of thermal stress under different conditions was explored. In the end，the heat conduction equation of FGMs shell was derived by energy equilibrium theorem and the impacts of heat flux density on the heat conduction were discussed. Results indicate that the thermal stress increases slowly with the increasing of the ceramic volume fraction index when the heat flux density is constant. The stress in the outer side of the cylindrical shell is larger than that of the inner side. The temperature of an arbitrary section increases with the increasing of heat flux density. And the trend is more obvious as the heat flux density becomes bigger.

Keywords

• functionally graded materials
• cylindrical shell
• thermal stress
• thermal conduction