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http://dx.doi.org/10.12989/sem.2015.55.5.1001

Size-dependent bending analysis of FGM nano-sinusoidal plates resting on orthotropic elastic medium  

Kolahchi, Reza (Department of Mechanical Engineering, Shahinshahr Branch, Islamic Azad University)
Bidgoli, Ali Mohammad Moniri (Faculty of Mechanical Engineering, College of Engineering, University of Tehran)
Heydari, Mohammad Mehdi (Young Researchers and Elite Club, Kashan Branch, Islamic Azad University)
Publication Information
Structural Engineering and Mechanics / v.55, no.5, 2015 , pp. 1001-1014 More about this Journal
Abstract
Bending analysis of functionally graded (FG) nano-plates is investigated in the present work based on a new sinusoidal shear deformation theory. The theory accounts for sinusoidal distribution of transverse shear stress, and satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate without using shear correction factor. The material properties of nano-plate are assumed to vary according to power law distribution of the volume fraction of the constituents. The size effects are considered based on Eringen's nonlocal theory. Governing equations are derived using energy method and Hamilton's principle. The closed-form solutions of simply supported nano-plates are obtained and the results are compared with those of first-order shear deformation theory and higher-order shear deformation theory. The effects of different parameters such as nano-plate length and thickness, elastic foundation, orientation of foundation orthtotropy direction and nonlocal parameters are shown in dimensionless displacement of system. It can be found that with increasing nonlocal parameter, the dimensionless displacement of nano-plate increases.
Keywords
FG nano-plate; sinusoidal shear deformation theory; exact solution; bending;
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Times Cited By KSCI : 1  (Citation Analysis)
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