Nonlocal integral elasticity analysis of beam bending by using finite element method

M. Taghizadeh, H.R. Ovesy and S.A.M. Ghannadpour

Abstract

In this study, a 2-D finite element formulation in the frame of nonlocal integral elasticity is presented. Subsequently, the bending problem of a nanobeam under different types of loadings and boundary conditions is solved based on classical beam theory and also 3-D elasticity theory using nonlocal finite elements (NL-FEM). The obtained results are compared with the analytical and numerical results of nonlocal differential elasticity. It is concluded that the classical beam theory and the nonlocal differential elasticity can separately lead to significant errors for the problem under consideration as distinct from 3-D elasticity and nonlocal integral elasticity respectively.

Key Words

nonlocal integral elasticity; nonlocal differential elasticity; finite element; beam; bending

Address

M. Taghizadeh and H.R. Ovesy: Department of Aerospace Engineering and Centre of Excellence in Computational Aerospace Engineering, Amirkabir University of Technology, Tehran, 15875-4413, Iran S.A.M. Ghannadpour: Department of Aerospace Engineering, Faculty of New Technologies and Engineering, Shahid Beheshti University, GC, 1983963113, Tehran, Iran

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