Analysis of Large Deflection of Nanobeams with Circular Cross Section under Distributed Load Taking into Surface Effects

Abstract

In the present study, the large deflection of nanobeams with surface effects has been investigated. The surface effects are modeled by using the generalized Young–Laplace equation. The finite element method has been used to investigate the mechanical behavior of nanobeams. This method provides the possibility of solving the problem with the least assumptions and with the arbitrary boundary conditions and geometry. With the use of the proposed model, nanobeams small to large deflection with different loading and support conditions can be analyzed. In this study, the large deflection of circular cross-sectional nanobeams under sinusoidal distributed load with surface effects has been investigated. The effect of various parameters such as aspect ratio, surface elastic modulus and residual surface stress on the large deflection of nanobeams has been investigated. The result obtained show the importance of considering the surface effects in the study of large deflection of nanobeams.