Buckling Analysis of a Nanowire Lying on Winkler-Pasternak Elastic Foundation

This article studies the axial buckling of a nanowire (NW) lying on Winkler-Pasternak substrate medium with the Timoshenko beam theory. The surface effect of the NW is accounted for with the Steigmann-Ogden model. An explicit solution of the critical buckling force and its associated buckling mode are obtained analytically. The influences of the surface stress effect, the geometry of the NW, and the elastic foundation moduli on the buckling behavior are fully discussed.