Thermo-Elastic Analysis of Clamped-Clamped Thick FGM Cylinders by Using Third-Order Shear Deformation Theory

Abstract

Using the third-order shear deformation theory (TSDT), an analytical solution for deformations and stresses of axisymmetric clamped-clamped thick cylindrical shells made of functionally graded material (FGM) subjected to internal pressure and thermal loading are presented. The material properties are graded along the radial direction according to power functions of the radial direction. It is assumed that Poisson's ratio is constant across the cylinder thickness. The differential equations governing were generally derived, making use of TSDT. Following that, the set of non-homogenous linear differential equations for the cylinder with clamped-clamped ends was solved, and the effect of loading and supports on the stresses and displacements was investigated. The problem was also solved, using the finite element method (FEM), and the results of which were compared with those of the analytical method. Furthermore, the effect of increases in the temperature gradient on displacement and stress values has been studied. Finally, in order to investigate the effect of third-order approximations on displacements and stresses, a comparison between the results of first-and third-order shear deformation theory has been made.

Transient Stress Intensity Factors of Functionally Graded Hollow Cylinders with Internal Circumferential Cracks

“…Such transient thermal and/or mechanical stresses are equal to or higher than those of the corresponding steady state operation. Thus, the steady state and transient thermo- elastic problems of hollow and solid cylinders made from FGMs have been the subject of research for years (Shao & Ma 2008;Liew et al 2003;Peng & Li 2010;Lee et al 2012;Gharooni et al 2016).…”

Thermal stress analysis of functionally graded solid and hollow thick-walled structures with heat generation

“…Celebi et al (2016Celebi et al ( , 2017) carried out the one-dimensional steady-state thermal and mechanical stresses analysis for a thick cylinder/sphere made of exponentially graded materials by complementary functions method. An analytical solution of clamped-clamped thick-walled FG cylinder with power-law varying material properties in radial directions is discussed in Gharooni et al (2016)'s study for deformations and stresses under internal pressure and thermal loading. The third-order shear deformation theory was adopted for the effect of loading and supports the displacements and stresses.…”

New nonlinear solution of nearly incompressible hyperelastic FGM cylindrical shells with arbitrary variable thickness and non-uniform pressure based on perturbation theory

“…Ghannad et al (2013) presented a closed-form analytical solution for thick FGM cylindrical shells with variable thickness subjected to constant internal pressure based on the first-order shear deformation theory (FSDT) and solved the governing equations by the usage of perturbation theory. Gharooni et al (2016) investigated thermo-elastic analysis in pressurized thick FGM cylinders with varying properties of power function based on higher-order shear deformation theory. The innovative formulations for higher-order approximation with FG function of materials properties have been presented in this research.…”