Effect of Surface Stress on Post-buckling of Cantilever Nanorods under Self-weight

Abstract

This paper presents an investigation of effect of surface stress on post-buckling of nanorods under its own weight. The principle of virtual work-energy is used in the model formulation which includes virtual strain energy due to bending, virtual work of surface stress, and virtual work due to self-weight. The intrinsic coordinate, which is the rotation angle, is used to define the post-buckling configuration. The problem is nonlinear, an analytical exact solution is unavailable. Therefore, the finite element method and the Newton-Raphson are used to obtain the numerical solution. The effect of surface stress on the post-buckling shapes are studied, the results show that the effect of surface stress tends to decrease the post-buckling configuration.