Post-Buckling of Magneto-Electro-Elastic Porous Functionally Graded Cylindrical Shells with Geometric Imperfection

Cylindrical shell subjected to axial compression is very sensitive to the initial geometric imperfection. Even very small initial imperfection would significantly reduce the critical load. In this paper, the post-buckling behaviors of functionally graded (FG) porous magneto-electro-elastic (MEE) cylindrical shell with initial geometric imperfection is investigated by using the high-order shear deformation theory. The post-buckling equilibrium paths for different imperfection amplitudes are obtained by Galerkin's method. Several numerical examples are presented to demonstrate the accuracy of the proposed model and reveal the effects of geometrical parameters, material properties, external magneto-electric loads on the post-buckling equilibrium path. In addition, the imperfection sensitivity of FG porous MEE cylindrical shells is also discussed.

Automated summary

This paper investigates the post-buckling behaviors of functionally graded porous magneto-electro-elastic cylindrical shell with initial geometric imperfection. Numerical examples demonstrate the effects of geometrical parameters, material properties, and external loads on the post-buckling equilibrium path, and discuss the imperfection sensitivity of the shell.