Nonlinear snap-buckling of graphene platelet reinforced metal foams doubly curved shells with geometric imperfection

In this paper, the nonlinear bending of graphene platelet reinforced metal foams (GPLRMF) doubly curved shells is analyzed. Based on the Reddy' higher-order shear deformation theory, the nonlinear equations of motion are obtained by using Hamilton's principle, which are solved by utilizing assuming modal method and Newton-Raphson approach. In the end, the parameters are systematically studied to illustrate the effects of porosity coefficient, geometric imperfections, graphene platelets (GPLs) mass fraction, GPLs and pore distribution types on the nonlinear bending characteristics of GPLRMF doubly curved shells. It can be found that these parameters have a significant impact on this issue.