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Nonlinear stability of non-axisymmetric functionally graded reinforced nano composite microplates

  • Loghman, Abbas (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan) ;
  • Arani, Ali Ghorbanpour (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan) ;
  • Barzoki, Ali Akbar Mosallaie (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
  • Received : 2016.10.22
  • Accepted : 2017.02.17
  • Published : 2017.06.25

Abstract

The nonlinear buckling response of nano composite anti-symmetric functionally graded polymeric microplate reinforced by single-walled carbon nanotubes (SWCNTs) rested on orthotropic elastomeric foundation with temperature dependent properties is investigated. For the carbon-nanotube reinforced composite (CNTRC) microplate, a uniform distribution (UD) and four types of functionally graded (FG) distribution are considered. Based on orthotropic Mindlin plate theory, von Karman geometric nonlinearity and Hamilton's principle, the governing equations are derived. Generalized differential quadrature method (GDQM) is employed to calculate the non-linear buckling response of the plate. Effects of FG distribution type, elastomeric foundation, aspect ratio (thickness to width ratio), boundary condition, orientation of foundation orthotropy and temperature are considered. The results are validated. It is found that the critical buckling load without elastic medium is significantly lower than considering Winkler and Pasternak medium.

Keywords

References

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