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Vibration analysis of nonlocal porous nanobeams made of functionally graded material

  • Berghouti, Hana (Aeronautical sciences laboratory, Institute of Aeronautics and Space studies, University of Saad Dahlab Blida-1) ;
  • Adda Bedia, E.A. (Centre of Excellence for Advanced Materials Research, King Abdulaziz University) ;
  • Benkhedda, Amina (Aeronautical sciences laboratory, Institute of Aeronautics and Space studies, University of Saad Dahlab Blida-1) ;
  • Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
  • Received : 2019.04.04
  • Accepted : 2019.05.05
  • Published : 2019.09.25

Abstract

In this work, dynamic behavior of functionally graded (FG) porous nano-beams is studied based on nonlocal nth-order shear deformation theory which takes into the effect of shear deformation without considering shear correction factors. It has been observed that during the manufacture of "functionally graded materials" (FGMs), micro-voids and porosities can occur inside the material. Thus, in this work, the investigation of the dynamic analysis of FG beams taking into account the influence of these imperfections is established. Material characteristics of the FG beam are supposed to be vary continuously within thickness direction according to a "power-law scheme" which is modified to approximate material characteristics for considering the influence of porosities. A comparative study with the known results in the literature confirms the accuracy and efficiency of the current nonlocal nth-order shear deformation theory.

Keywords

porosity;nonlocal elasticity theory;FG nanobeam;free vibration;nth-order shear deformation theory

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