Aminreza Noghrehabadi - Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Mohammad Ghalambaz - Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
Afshin Ghanbarzadeh - Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran.

In this paper, a monotone positive solution is studied for buckling of a distributed model of multi walled carbon nanotube (MWCNT) cantilevers in thevicinity of thin and thick graphite sheets subject to intermolecular forces. In the modeling of intermolecular forces, Van der Waals forces are taken into account.A hybrid nano-scale continuum model based on Lennard–Jones potential is applied to simulate the intermolecular force-induced deflection of MWCNT. Apositive monotone solution based on Green’s function in the form of a nonlinear iterative integral is introduced to obtain a solution for deflection of MWCNTcantilevers. In order to determine the accuracy of the presented method, the results are compared with numerical results of a numerical method as well as other methods reported in the literature. The results show that the monotone iterative solution is stable and converged to numerical results with a few iterations. The results of the present work are useful to prove the stability and convergence of Green’s function to deal with deflection of nano cantilever actuators in future works and simplifications

Nano cantilever,Monotone solution,Green’s function,Van der Waals force,MWCNT