Structural Engineering and Mechanics

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Critical buckling of functionally graded nanoscale beam with porosities using nonlocal higher-order shear deformation

  • Benahmed, Abdelillah (Laboratory de Modelisation et Simulation Multi-echaelle, Departement de Physique, Faculte des Science Exactes Universite de Sidi Bel Abbes) ;
  • Fahsi, Bouazza (Laboratory de Modelisation et Simulation Multi-echaelle, Departement de Physique, Faculte des Science Exactes Universite de Sidi Bel Abbes) ;
  • Benzair, Abdelnour (Laboratory de Modelisation et Simulation Multi-echaelle, Departement de Physique, Faculte des Science Exactes Universite de Sidi Bel Abbes) ;
  • Zidour, Mohamed (Civil Engineering Department, Universite Ibn Khaldoun) ;
  • Bourada, Fouad (Civil Engineering Department, Laboratory of Materials et Hydrology, University of Sidi Bel Abbes) ;
  • Tounsi, Abdelouahed (Civil Engineering Department, Laboratory of Materials et Hydrology, University of Sidi Bel Abbes)
  • Received : 2018.10.09
  • Accepted : 2019.01.10
  • Published : 2019.02.25
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Abstract

This paper presents an efficient higher-order nonlocal beam theory for the Critical buckling, of functionally graded (FG) nanobeams with porosities that may possibly occur inside the functionally graded materials (FG) during their fabrication, the nonlocal elastic behavior is described by the differential constitutive model of Eringen. The material properties of (FG) nanobeams with porosities are assumed to vary through the thickness according to a power law. The governing equations of the functionally graded nanobeams with porosities are derived by employing Hamilton's principle. Analytical solutions are presented for a simply supported FG nanobeam with porosities. The validity of this theory is studied by comparing some of the present results with other higher-order theories reported in the literature, Illustrative examples are given also to show the effects of porosity volume fraction, and thickness to length ratios on the critical buckling of the FG beams.

Keywords

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