Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept

- Journal title : Steel and Composite Structures
- Volume 20, Issue 5, 2016, pp.963-981
- Publisher : Techno-Press
- DOI : 10.12989/scs.2016.20.5.963

Title & Authors

Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept

Ahouel, Mama; Houari, Mohammed Sid Ahmed; Bedia, E.A. Adda; Tounsi, Abdelouahed;

Ahouel, Mama; Houari, Mohammed Sid Ahmed; Bedia, E.A. Adda; Tounsi, Abdelouahed;

Abstract

A nonlocal trigonometric shear deformation beam theory based on neutral surface position is developed for bending, buckling, and vibration of functionally graded (FG) nanobeams using the nonlocal differential constitutive relations of Eringen. The present model is capable of capturing both small scale effect and transverse shear deformation effects of FG nanobeams, and does not require shear correction factors. The material properties of the FG nanobeam are assumed to vary in the thickness direction. The equations of motion are derived by employing Hamilton`s principle, and the physical neutral surface concept. Analytical solutions are presented for a simply supported FG nanobeam, and the obtained results compare well with those predicted by the nonlocal Timoshenko beam theory.

Keywords

nanobeam;nonlocal elasticity theory;bending;buckling;vibration;functionally graded materials;neutral surface position;

Language

English

Cited by

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Forced vibration analysis of viscoelastic nanobeams embedded in an elastic medium,;

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Bending analysis of FGM plates using a sinusoidal shear deformation theory,;;;

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A new refined nonlocal beam theory accounting for effect of thickness stretching in nanoscale beams,;;;;

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A new 3-unknowns non-polynomial plate theory for buckling and vibration of functionally graded sandwich plate,;;;

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A simple hyperbolic shear deformation theory for vibration analysis of thick functionally graded rectangular plates resting on elastic foundations,;;;

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