Analytical Model of Unconstrained Nonlocal Higher-Order Nano-Plates for Bending Analysis

Abstract:

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.

• Periodical: Advanced Materials Research (Volumes 97-101)
• Pages: 4193-4196
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.97-101.4193
• Online since: March 2010
• Authors: Jun Chuan Niu, Chee Wah Lim, A.Y.T. Leung
• Keywords: Bending Analysis, Higher-Order Plate Theory, Nano-Plates, Nonlocal Elasticity

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