Two-dimensional Stress and strain Analysis for Graphenepolymer Nanocomposite under Axial Load

A two-dimensional stress-function method describing the stress transfer in a three-layered adhesive bonded graphene and poly(methyl methacrylate) nanocomposite structure, subjected to axial load is developed and applied. The governing ordinary differential equation of fourth order with constant coefficients for the axial stress in the first layer is obtained minimizing the strain energy in the whole structure and solved analytically. The two-dimensional stresses and strains (axial, shear and peel) in the structure’s layers are expressed and calculated as functions of this axial one and its derivatives and illustrated with graphics. The model graphene strain is compared with experimental data for strain in graphene and shear-lag model results from literature and shows good agreement at 0.4% external strains.