Structural Engineering and Mechanics

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On the size-dependent behavior of functionally graded micro-beams with porosities

  • Amar, Lemya Hanifi Hachemi (Faculte de Technologie, Departement de Genie Civil et Hydraulique, Universite Dr Tahar Moulay) ;
  • Kaci, Abdelhakim (Faculte de Technologie, Departement de Genie Civil et Hydraulique, Universite Dr Tahar Moulay) ;
  • Tounsi, Abdelouahed (Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes)
  • Received : 2017.03.01
  • Accepted : 2017.05.25
  • Published : 2017.12.10
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Abstract

In this work, a new hyperbolic shear deformation beam theory is proposed based on a modified couple stress theory (MCST) to investigate the bending and free vibration responses of functionally graded (FG) micro beam made of porous material. This non-classical micro-beam model introduces the material length scale coefficient which can capture the size influence. The non-classical beam model reduces to the classical beam model when the material length scale coefficient is set to zero. The mechanical material properties of the FG micro-beam are assumed to vary in the thickness direction and are estimated through the classical rule of mixture which is modified to approximate the porous material properties with even and uneven distributions of porosities phases. Effects of several important parameters such as power-law exponents, porosity distributions, porosity volume fractions, the material length scale parameter and slenderness ratios on bending and dynamic responses of FG micro-beams are investigated and discussed in detail. It is concluded that these effects play significant role in the mechanical behavior of porous FG micro-beams.

Keywords

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