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Nonlinear Transient Thermoelastic Analysis of a Thick FGM Cylinder with Temperature-Dependent Material Properties Using the Finite Element Method

In the present paper, nonlinear transient heat transfer and thermoelastic analyses of a thick hollow FGM cylinder is accomplished using the finite element method and taking the temperature-dependency of the material properties into consideration. Due to incorporation of the effect of the temperature-dependency of the material properties, the resulted governing FEM equations of both transient heat transfer and thermoelastic stress analyses are nonlinear. In this regard, various thermal, geometrical, and stress boundary conditions are incorporated. An efficient numerical algorithm based on successive updating and time integration is used to derive the results. Finally, results obtained considering the temperature-dependency of the material properties are compared with those derived based on temperature independency assumption. Furthermore, influences of various boundary conditions on the temperature distribution and the radial and circumferential stresses are investigated. Results reveal that the temperature-dependency effect is significant.