# Two dimensional time-dependent creep analysis of a thick-walled FG cylinder based on first order shear deformation theory

• Loghman, Abbas (Department of Solid Mechanic, Faculty of Mechanical Engineering, University of Kashan) ;
• Faegh, Reza K. (Department of Solid Mechanic, Faculty of Mechanical Engineering, University of Kashan) ;
• Arefi, Mohammad (Department of Solid Mechanic, Faculty of Mechanical Engineering, University of Kashan)
• Accepted : 2017.12.05
• Published : 2018.03.10
• 1,271 0

#### Abstract

In this paper the time-dependent creep analysis of a thick-walled FG cylinder with finite length subjected to axisymmetric mechanical and thermal loads are presented. First order shear deformation theory (FSDT) is used for description of displacement components. Inner and outer temperatures and outer pressure are considered as thermo-mechanical loadings. Both thermal and mechanical loadings are assumed variable along the axial direction using the sinusoidal distribution. To find temperature distribution, two dimensional heat transfer equation is solved using the required boundary conditions. The energy method and Euler equations are employed to reach final governing equations of the cylinder. After determination of elastic stresses and strains, the creep analysis can be performed based on the Yang method. The results of this research indicate that the boundaries have important effects on the responses of the cylinder. The effect of important parameters of this analysis such as variable loading, non-homogeneous index of functionally graded materials and time of creep is studied on the behaviors of the cylinder.

#### Keywords

creep analysis;first order shear deformation theory;functionally graded materials;cylindrical shell

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