ELASTICA TYPE BUCKLING ANALYSIS OF MICRO-/NANO-RODS USING NONLOCAL ELASTICITY THEORY

摘要

This paper provides useful insights into the ealstica type buckling phenomenon of Micro-/Nano-rods. In the analysis, a rod is considered to be a prismatic, inextensible column with no shear effect, 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. These equations cover not only the buckling situation of the rod but also the small scale effect. Additionally, the accuracy of the solution is estimated by comparing the results with known solutions for classic elastic model.