Modeling and analyze of behaviors of functionally graded graphene reinforced composite beam with geometric imperfection in multiphysics

This paper establishes a mathematical model to analyze the static and dynamic behaviors of functionally graded graphene reinforced composite (FG-GRC) beam with geometric imperfection subjected to thermo-electro-mechanical load. Three different geometric imperfections are considered. Four different distribution patterns of graphene nanoplatelets (GPLs) are taken into consideration. The effective properties of the geometrically imperfect FG-GRC beam are estimated by the modified Halpin-Tsai model and rule of mixture. The nonlinear partial differential governing equations are deduced based on first -order shear deformation theory, von Karman nonlinear displacement-strain relationship and Hamilton principle, and discretized as ordinary differential forms through the differential quadrature (DQ) method. Newmark-beta method and iteration method are employed to numerically solve the governing equations. The effects of geometric imperfection, GPLs and piezoelectric actuators on bending and vibration of the geometrically imperfect FG-GRC beam subjected to thermo-electro-mechanical load are comprehensively investigated. The results clearly demonstrate that the coupling effect of geometric imperfections and thermo-electric-mechanical loads can introduce an additional transverse load acting along the length of the geometrically imperfect FG-GRC beam, and hence makes a significant difference on its static and dynamic behaviors. (C) 2022 Elsevier Masson SAS. All rights reserved.

Automated summary

This paper establishes a mathematical model to analyze the static and dynamic behaviors of functionally graded graphene reinforced composite beam with geometric imperfection subjected to thermo-electro-mechanical load. The coupling effect of geometric imperfections and thermo-electric-mechanical loads is found to have a significant impact on the bending and vibration of the beam.