Exact static axisymmetric solutions of thick functionally graded cylindrical shells with general boundary conditions

Abstract

An analytical solution is presented for the axisymmetric static responses of thick functionally graded (FGM) cylindrical shells with general boundary conditions, which strictly satisfies the boundary conditions along the thickness. The illustrative examples show that the presented solution of thick cylindrical shells under various boundary conditions is of high precision and good convergence. The exact distributions of displacement and stress components along the radial and axial directions are revealed, and the influences of thickness-to-radius ratio, span-to-radius ratio and material gradient index on the static responses of the thick FGM cylindrical shell are analyzed.

Keywords:

• Functionally graded material
• thick cylindrical shell
• general boundary conditions
• exact solution
• boundary displacement function
• state space method

Additional information

Funding

The work was supported by the National Natural Science Foundation of China (No. 12102001). Partial support from the Opening Fund of Engineering Research Center of Hydraulic Vibration and Control, Ministry of Education. (No. HVC201903) is also acknowledged.