Techno Press
You logged in as Techno Press

Advances in Materials Research
  Volume 6, Number 1, March 2017 , pages 045-63
DOI: https://doi.org/10.12989/amr.2017.6.1.045
 

Bending and stability analysis of size-dependent compositionally graded Timoshenko nanobeams with porosities
Ismail Bensaid and Ahmed Guenanou

 
Abstract
    In this article, static deflection and buckling of functionally graded (FG) nanoscale beams made of porous material are carried out based on the nonlocal Timoshenko beam model which captures the small scale influences. The exact position of neutral axis is fixed, to eliminate the stretching and bending coupling due to the unsymmetrical material change along the FG nanobeams thickness. The material properties of FG beam are graded through the thickness on the basis of the power-law form, which is modified to approximate the material properties with two models of porosity phases. By employing Hamilton\'s principle, the nonlocal governing equations of FG nanobeams are obtained and solved analytically for simply-supported boundary conditions via the Navier-type procedure. Numerical results for deflection and buckling of FG nanoscale beams are presented and validated with those existing in the literature. The influences of small scale parameter, power law index, porosity distribution and slenderness ratio on the static and stability responses of the FG nanobeams are all explored.
 
Key Words
    nonlocal elasticity theory; bending; buckling; FG nanobeam; porosities
 
Address
Ismail Bensaid: IS2M Laboratory, Faculty of Technology, Mechanical engineering Department, University of Tlemcen, Tlemcen, Algeria
Ahmed Guenanou: Faculty of Technology, Mechanical engineering Department, University of Tlemcen, Tlemcen, Algeria
 

Techno-Press: Publishers of international journals and conference proceedings.       Copyright © 2023 Techno Press
P.O. Box 33, Yuseong, Daejeon 305-600 Korea, Tel: +82-42-828-7996, Fax : +82-42-828-7997, Email: info@techno-press.com