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

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.

Automated summary

An analytical solution is proposed for the axisymmetric static responses of thick functionally graded cylindrical shells with general boundary conditions, satisfying the boundary conditions along the thickness. The solution demonstrates high precision and good convergence for various boundary conditions. It reveals the exact distributions of displacement and stress components along the radial and axial directions, and analyzes the effects of thickness-to-radius ratio, span-to-radius ratio, and material gradient index on the static responses of the thick FGM cylindrical shell.