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

Reza Kolahchi, Ali Mohammad Moniri Bidgoli and Mohammad Mehdi Heydari

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

Key Words

FG nano-plate; sinusoidal shear deformation theory; exact solution; bending

Address

Reza Kolahchi: Department of Mechanical Engineering, Shahinshahr Branch, Islamic Azad University, Shahinshahr, Iran Ali Mohammad Moniri Bidgoli: Faculty of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran Mohammad Mehdi Heydari: Young Researchers and Elite Club, Kashan Branch, Islamic Azad University, Kashan, Iran

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