Mechanical and thermal stresses in radially functionally graded hollow cylinders with variable thickness due to symmetric loads

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ABSTRACT

In this paper, based on the higher-order shear deformation theory, a thermo-elastic analysis for axisymmetric clamped–clamped rotating pressurised thick cylindrical shells with variable thickness made of functionally graded materials subjected to thermal loading is presented. The material properties, except the Poisson’s ratio, are assumed to vary with the power law function in the radial direction of the cylinder. The governing equations are a system of non-homogeneous ordinary differential equations with variable coefficients. Based on two-dimensional steady-state heat conduction equation, temperature distribution in cylinder with variable thickness is given. Using multilayer method, these equations could be converted into systems of differential equations with constant coefficients. The effects of higher-order approximations on the radial and axial displacements, von Mises stress and shear stress have been studied. Finally, the displacements and stresses along the radius and length have been plotted, and distribution of these is compared with the solution using finite-element method.

KEYWORDS:

• Thermal stress
• cylindrical shell with variable thickness
• radially functionally graded material
• higher-order shear deformation theory (HSDT)

Additional information

Notes on contributors

Mehdi Jabbari

Mehdi Jabbari received PhD degrees in mechanical engineering at the Yasouj University. He carried out his thesis in the field of Thermo-electro-elastic analysis of FG thick shells by Multi-layered method under supervision of Nejad. His research fields of interest are semi-analytical methods, thermo-elastic analysis and thick shells.

Mohammad Zamani Nejad

Mohammad Zamani Nejad is currently as an associate professor in the Department of Mechanical Engineering in Yasouj University. He received his B.S. in Mechanical Engineering-Solids Design at Shiraz University and his M.S. in Mechanical Engineering-Applied Design at Mazandaran University. His Ph.D. is from Tarbiat Modares University,Tehran, Iran. His research interests include thermo-elasto plastic analysis and creep analysis of solids.