A new mathematical model of porous, physically non-linear, size-dependent shells in a corrosive, hydrogen-containing medium

A new mathematical model is derived for porous, functionally graded, inhomogeneous, size-dependent shells in corrosive, hydrogen-containing media, based on the Kirchhoff-Love kinematic model. The modified couple stress theory (MKST) is employed to model the size-dependent factors of the composite shells. The composite consists of a metal phase and a ceramic phase, with the ceramic phase remaining constant in functionally graded materials. The metallic phase is a physically non-linear material that depends on coordinates and the stress-strain state, enabling the application of theory of deformation plasticity. The Dolinskii corrosion model is implemented, and the governing equations are obtained through Hamilton's principle. The algorithm used to solve the partial differential equations (PDEs) is based on the method of variations iteration (VIM) or the extended Kantorovich method (EKM). The theoretical considerations are validated by numerical results.