Thermomechanical Nonlinear Buckling of Pressurized Shear Deformable FGM Cylindrical Shells Including Porosities and Elastically Restrained Edges

Abstract

This work proposes an effective analytical solution to study the nonlinear buckling of functionally graded material (FGM) porous cylindrical shells subjected to external pressure and elevated temperature. Volume fractions of constituents are varied through the thickness direction according to power functional rules, and effective properties are estimated according to a modified rule of mixture. The porosities are evenly or unevenly distributed within the shell. Basic equations of a simply supported shell are based on first-order shear deformation theory, including von Kármán-Donnell nonlinearity, and solved using analytical solutions and the Galerkin method. To account for practical situations, temperature-dependent properties, together with the elastic constraint of edges, are included. The suggested form of two-term deflection overcomes mathematical difficulties and is suitable for shear deformation cylindrical shells. Numerical results indicate that porosities detrimentally influence the buckling resistance of pressurized shells. Furthermore, tangential edge constraints have slight and significant effects on critical buckling loads and the pressure bearing capacity of porous shells at normal and high temperatures, respectively. Besides being an innovative approach, the presented study aims to address practical aspects in engineering applications of pressurized porous shells.