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  Volume 3, Number 1, February 2021, pages 71-88
DOI: https://doi.org/10.12989/cme.2021.3.1.071
 
open access

Size-dependent bending and stability analysis of FG nanobeams via a novel simplified first-order shear deformation beam theory
Ismail Bensaid, Ahmed Bekhadda and Bachir Kerboua

 
Abstract
    This paper is concerned to investigate the static bending and buckling response of Functionally Graded (FG) nanobeams by employing a new refined first order shear deformation beam theory. The elegancy of this novel theory is that, not only has one variable in terms of equations of motion as in classical beam theory (EBT) but also accounts for the effect of transverse shear deformation without any requirement of Shear Correction Factors (SCFs). The material properties of FG nanobeam are supposed to change gradually across the thickness direction and are evaluated via the power-law model. Nonlocal elasticity theory of Eringen is incorporated in order to capture the small scale effect into current investigation. The nonlocal governing equations of motion and boundary conditions are obtained through Hamilton
 
Key Words
    FG nanobeam; nonlocal elasticity theory; bending; buckling; novel refined beam model; one variable shear deformation
 
Address
Ismail Bensaid and Ahmed Bekhadda:
IS2M Laboratory, Faculty of Technology, Mechanical Engineering Department, University Abou Beckr Belkaid (UABT), Tlemcen, Algeria
Bachir Kerboua:
Faculty of Technology, Mechanical Engineering Department, University Abou Beckr Belkaid (UABT), Tlemcen, Algeria
 

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