Multifield and higher-order analysis of sandwich smart curved beams made of graphene origami auxetic metamaterial

Abstract

This article is organized to investigate effect of material and geometric characteristics of graphene origami as well as multifield loading on the electro-magneto-elastic bending results of the sandwich smart nanocomposite curved beam. The analysis is performed using the higher-order shear deformation theory accounting out of plane normal strain. The constitutive relations are extended in the cylindrical coordinate in the presence of thermal, electrical, and magnetic loads. The governing equations are derived using the principle of virtual work with accounting electric and magnetic works. The effective material properties of graphene origami reinforced composite core are evaluated through Halpin–Tsai micromechanical models and rule of mixture for modulus of elasticity, Poisson’s ratio, and density. The analytical solution is presented for simply supported boundary conditions based on trigonometric functions. A verification test is performed for validation of the formulation, solution procedure, and numerical results. The stress and deformation components are evaluated with changes of multifield loading and characteristics of graphene origami along the thickness direction. The results show a significant effect of electrical, thermal, and magnetic loading on the stress and deformation results.