| Authors | H Ashrafi - O Bashari |
|---|---|
| Conference Title | 6th International Conference on Nanoscience and Nanotechnology (ICNN 2016) |
| Holding Date of Conference | 2016-10-26 |
| Event Place | کرج |
| Presentation | SPEECH |
| Conference Level | International Conferences |
Abstract
In recent years, nonlocal elasticity has been used to properly model nano-beam, -plate and -shell due to their small length scale. When the internal characteristic length and time scale are large enough compared to external length, the classical elastic theory fails. In this paper, a finite element method for modelling of nonlocal nano-beams is presented based on nonlocal elasticity theory. Differential constitutive equation of Eringen has been developed to describe the nonlocal elastic behaviour of nano-beams. The Galerkin’s method has been used for finite element formulation. Firstly, the governing differential equation of nonlocal elasticity theory has been converted to a weak form, and then the final form of finite element method has been exploited for Euler-Bernoulli nano-beams by attention to the boundary conditions and the interpolation functions.