Development and validation of an accurate analytical solution for hoop stress distribution in cylindrical functionally graded materials

Functionally graded materials (FGMs) are a type of composite material whose microstructure is not homogeneous, differing at each coordinate position. The development of FGM material technology is an important and strategic effort to meet the needs of an increasingly advanced industry. Theoretically, an important topic that is commonly discussed for mechanical applications is the analytical solution of stress distribution in FGM materials subjected to mechanical loads. Previous studies have proposed a stress distribution solution in cylindrical FGM, but the solution is inaccurate in certain applications. Other studies propose stress distribution solutions, but with different boundary conditions. The present study proposes a new solution different from previous studies and valid for applying to cylindrical FGMs with more general inhomogeneity. The developed solution uses a power function to determine the inhomogeneity constant and applies internal pressure under axisymmetric conditions. The solution proposed in this study was validated through numerical simulations (FEM), and a good agreement is obtained with an error value of less than 2.77%. Moreover, the proposed solution shows good agreement with experimental data from previous studies.