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Acta Mechanica Sinica

, Volume 35, Issue 1, pp 174–189 | Cite as

Buckling analysis of functionally graded plates partially resting on elastic foundation using the differential quadrature element method

  • Arash ShahbaztabarEmail author
  • Koosha Arteshyar
Research Paper
  • 48 Downloads

Abstract

We extend the differential quadrature element method (DQEM) to the buckling analysis of uniformly in-plane loaded functionally graded (FG) plates fully or partially resting on the Pasternak model of elastic support. Material properties of the FG plate are graded in the thickness direction and assumed to obey a power law distribution of the volume fraction of the constituents. To set up the global eigenvalue equation, the plate is divided into sub-domains or elements and the generalized differential quadrature procedure is applied to discretize the governing, boundary and compatibility equations. By assembling discrete equations at all nodal points, the weighting coefficient and force matrices are derived. To validate the accuracy of this method, the results are compared with those of the exact solution and the finite element method. At the end, the effects of different variables and local elastic support arrangements on the buckling load factor are investigated.

Keywords

Differential quadrature element method Pasternak elastic support Critical buckling load Functionally graded plates 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Ocean EngineeringAmirKabir University of TechnologyTehranIran
  2. 2.Department of Mechanical EngineeringIslamic Azad UniversityKarajIran

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