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Buckling Analysis of Smart Size-Dependent Higher Order Magneto-Electro-Thermo-Elastic Functionally Graded Nanosize Beams

Published online by Cambridge University Press:  24 May 2016

F. Ebrahimi  and
M. R. Barati
F. Ebrahimi*
Affiliation:
Mechanical Engineering DepartmentFaculty of EngineeringImam Khomeini International UniversityQazvin, Iran
M. R. Barati
Affiliation:
Mechanical Engineering DepartmentFaculty of EngineeringImam Khomeini International UniversityQazvin, Iran
*
*Corresponding author ([email protected])

Abstract

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The present paper examines the thermal buckling of nonlocal magneto-electro-thermo-elastic functionally graded (METE-FG) beams under various types of thermal loading namely uniform, linear and sinusoidal temperature rise and also heat conduction. The material properties of nanobeam are graded in the thickness direction according to the power-law distribution. Based on a higher order beam theory as well as Hamilton's principle, nonlocal governing equations for METE-FG nanobeam are derived and are solved using Navier type method. The small size effect is captured using Eringen's nonlocal elasticity theory. The most beneficial feature of the present beam model is to provide a parabolic variation of the transverse shear strains across the thickness direction and satisfies the zero traction boundary conditions on the top and bottom surfaces of the beam without using shear correction factors. Various numerical examples are presented investigating the influences of thermo-mechanical loadings, magnetic potential, external electric voltage, power-law index, nonlocal parameter and slenderness ratio on thermal buckling behavior of nanobeams made of METE-FG materials.

Keywords

Magneto-electro-thermo-elastic FG nanobeamBucklingNonlocal elasticity theoryHigher order beam theory
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 1 , February 2017 , pp. 23 - 33
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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