Using Non-local Elasticity Theory for the Analysis of the Buckling Behaviour of Nanoplates

摘要

This paper presents the buckling analysis of isotropic nanoplates, using nonlocal elasticity theory. The nanoplate is modeled based on four variable refined plate theory, and the axial stress caused by the thermal effects is also considered. The four variable refined plate theory takes account of transverse shear effects and parabolic distribution of the transverse shear strains through the thickness of the plate, hence it is unnecessary to use shear correction factors. Nonlocal governing equations of motion for the nanoplate are derived from the principle of virtual displacements. The closed form solution for buckling of a simply supported rectangular nanoplate has been obtained by using Navier's method of solution. Numerical results obtained by the present theory are compared with available solutions in the literature.