In engineering area, researches on "open ended single walled carbon nanotube structure embedded into plastic material" caused improvement in the material properties of the polymer based composite structures by increasing the strength of the composite material. Carbon nanotube structures play an important role in aerospace and electrical engineering applications. This studies have also effected the control of energy production in terms of millielectron volts. In the formation stages of the curved carbon nanotube structures; two forms of potential energy have been detected. Elastic potential energy generates in the formation of rolled shape open ended carbon nanotube and, in the process of fixing several adjacent carbon layers to each other, a second energy type called van der Waals arises. In this study, the results of three dimensional finite element analyzes for the simulation of the rolling behaviour of "open ended SWCN" under the effect of rolling forces were explained. Analyzes were performed on a three layered cylindrical composite material, namely; an outer "open ended single walled carbon nanotube," an inner "cylindrical graphene material" and an interface region between of these two layers. All of these layers were modelled as a "composite molecular structure." In order to calculate the nonlinear behaviour of plastic material of interface region, a spring-damper model with high stiffness was defined. The energies have been produced in stages of rolling preparation step in formation of graphene-interface-SWCN composite structure. The results were explained according to the FEA results. In order to demonstrate the interaction between the two neighborhood cylindrical composite molecules through their main molecular axis, the assumed forces, rotations and displacements were applied and calculated by using nonlinear finite element numerical solutions. This model was used to estimate the total potential energy of the graphene-interface-SWCN composite system, under different loads. The generation of the variances in the total potential energy calculations according to the specified loading cases and the final configurations of the SWCN structures were explained by curves. These curves were plotted according to the calculated stored total potential energy values versus rolling axes of the composite molecular structure.