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Nonlocal buckling characteristics of heterogeneous plates subjected to various loadings

  • Ebrahimi, Farzad (Department of Engineering, Imam Khomeini international university) ;
  • Babaei, Ramin (Department of Engineering, Imam Khomeini international university) ;
  • Shaghaghi, Gholam Reza (Department of Engineering, Imam Khomeini international university)
  • Received : 2017.06.23
  • Accepted : 2017.12.26
  • Published : 2018.09.25
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Abstract

In this manuscript, buckling response of the functionally graded material (FGM) nanoplate is investigated. Two opposite edges of nanoplate is under linear and nonlinear varying normal stresses. The small-scale effect is considered by Eringen's nonlocal theory. Governing equation are derived by nonlocal theory and Hamilton's principle. Navier's method is used to solve governing equation in simply boundary conditions. The obtained results exactly match the available results in the literature. The results of this research show the important role of nonlocal effect in buckling and stability behavior of nanoplates. In order to study the FG-index effect and different loading condition effects on buckling of rectangular nanoplate, Navier's method is applied and results are presented in various figures and tables.

Keywords

References

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