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http://dx.doi.org/10.5762/KAIS.2012.13.7.3207

Nonlocal elasticity theory for bending and free vibration analysis of nano plates  

Lee, Won-Hong (Department of Civil Engineering, Gyeongnam National University of Science and Technology)
Han, Sung-Cheon (Department of Civil & Railroad Engineering, Daewon University College)
Park, Weon-Tae (Division of Construction and Environmental Engineering, Kongju National University)
Publication Information
Journal of the Korea Academia-Industrial cooperation Society / v.13, no.7, 2012 , pp. 3207-3215 More about this Journal
Abstract
In this paper, we study the bending and free vibration analysis of nano plate, using a nonlocal elasticity theory of Eringen with a third-order shear deformation theory. This theory has ability to capture the both small scale effects and quadratic variation of shear strain and consequently shear stress through the plate thickness. Analytical solutions of bending and vibration of a laminated composite nano plate are presented using this theory to illustrate the effect of nonlocal theory on deflection of the nano plates. The relations between nonlocal third-order and local theories are discussed by numerical results. Further, effects of (i) nonlocal parameters, (ii) laminate schemes, (iii) directions of the fiber angle and (iv) number of layers on nondimensional deflections are investigated. In order to validate the present solutions, the reference solutions are used and discussed. The results of anisotropic nano plates using the nonlocal theory may be the benchmark test for the bending analysis.
Keywords
Nonlocal elasticity theory; Third-order shear deformation theory; Bending analysis; Free vibration analysis; Nano plates;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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