Analytical Model of Unconstrained Nonlocal Higher-Order Nano-Plates for Bending Analysis
This paper presents a higher-order nonlocal plate model and its formulation for bending analysis of nanoplates via variational principle and virtual work approach based on Leung’s unconstrained higher-order plate theory and Eringen’s nonlocal continuum theory. Bending of the simply supported rectangular higher-order nano-plate is investigated in comparison with the lower-order plate models. The numerical examples show that nonlocal nanoscale parameters increase the deflections of the plate as the rotary inertia and the transverse shear deformation do.
Zhengyi Jiang and Chunliang Zhang
J. C. Niu et al., "Analytical Model of Unconstrained Nonlocal Higher-Order Nano-Plates for Bending Analysis", Advanced Materials Research, Vols. 97-101, pp. 4193-4196, 2010