Axisymmetric buckling of the circular annular nanoplates using finite difference method

In recent years nanostructures have been used in a vast number of applications, so the study of the mechanical behavior of such structures could be of interest. In the present study, the buckling behavior of circular annular plates and solid disks under uniform compression has been surveyed for several combinations of boundary conditions using the finite difference method. The affects of nonlocal parameter and the plate size have been studied for each combination of boundary conditions. The obtained results are in good agreement with the other studies and the reality. The results also convince that the finite difference method is a powerful method for solving the problems corresponding to nanoplate mechanical behaviors.