Buckling analysis of shear deformable nanorods within the framework of nonlocal elasticity theory

This article provides useful insights into the ealstica type buckling phenomenon of shear deformable nanorods. In the analysis, a rod is considered to be a prismatic, inextensible column, whose constitutive equation corresponds to a differential type of the nonlocal elasticity. The strongly nonlinear governing equation of the buckling of the rod is established and solved by the homotopy perturbation method. The governing equations of buckling take into consideration the effects of small length scale and transverse shear deformation. The validity, convergence and accuracy of the solutions are partly established by comparing them with known classical elastic model solutions. The numerical results show that an increase in the small scale parameter, as well as the transverse shear deformation, gives rise to an increase in post-buckling deformation, and a decrease in the buckling load.