Elastic analysis of functionally graded porous cylinders under uniform internal pressure by using shear deformation theory

This research aims to analyze cylindrical shells made of functionally graded porous materials, focusing on three types of monotonous, symmetric, and nonsymmetric porosity distributions. Material properties are defined for different porosity distributions, individually. Due to the slight variation of Poisson’s ratio, it is assumed to be constant throughout the thickness of the cylinder. The governing equations are derived using the first-order shear deformation theory and the virtual work principle. The governing equations are solved using the eigenvalue–eigenvector method for clamped–clamped boundary conditions. The solution’s accuracy and convergence are validated by conducting a comparative study. Finally, the numerical results include the components of displacement, axial displacement, radial displacement, circumferential stress, radial stress, and shear stress are reported according to porosity coefficient and different porosity distributions.