Exact solutions of bending deflections for nano-beams and nano-plates based on nonlocal elasticity theory. (July 2015)

• Record Type: Journal Article
• Authors: Yan, J.W.; Tong, L.H.; Li, C.; Zhu, Y.; Wang, Z.W.
• Is Part Of: Composite structures. Volume 125(2015)
• Page Start: 304
• Page End: 313
• Publication Date: 2015-07
• Subjects: Nonlocal elasticity theory -- Scale effect -- Bending deflection -- Nano-beam -- Nano-plate; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2015.02.017
• Languages: English
• ISSNs: 0263-8223

Abstract

Abstract: In this paper, we applied the nonlocal continuum mechanics to deriving a complete and asymptotic representation of the infinite higher-order governing differential equations for nano-beam and nano-plate models. Results show that the vanishing issue of small scale effects under some boundary conditions such as a clamped nano-beam subjected to distributed uniformly load is solved by using the present nonlocal continuum model. Several typical examples for nano-beam and nano-plate are studied and the scale effect on bending deflection is discussed at length. The analytical prediction for nonlocal bending deflection gives a good prediction of molecular dynamics simulation results which confirms the accuracy of the present model. It is found that when the external characteristic length tends to internal characteristic length, a property of a rigid body for the nano-beam and nano-plate is presented.