This paper presents a static analysis of large deflection behavior in functionally graded magneto-electro-elastic porous (FG-MEEP) cylindrical shells using the geometric fully nonlinear finite element (FE) method. The governing equations are derived based on the first-order shear deformation theory (FOSD) and the strain-displacement relationship considering large rotations. A nonlinear dynamic model is developed employing the Hamiltonian principle. Four gradient models of temperature variation along the thickness are constructed, such as uniform, linear, sinusoidal and heat conduction. Moreover, the porosity effects of FG-U, FG-V, FG-O and FG-X distributions are taken into account. The accuracy and efficiency of the proposed model are verified by comparing with the results of existing literature and commercial software. The subsequent extensive research is conducted to investigate the influence of various parameters on the mechanical response of the FG-MEEP structure. It is concluded that adopting the large rotation theory (LRT) can yield more precise outcomes for structures experiencing significant deformations under thermal environments, providing valuable insights for future research on FG-MEEP structures.
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