Buckling analysis of functionally graded nanobeams based on a nonlocal third-order shear deformation theory

@article{Rahmani2015BucklingAO,
  title={Buckling analysis of functionally graded nanobeams based on a nonlocal third-order shear deformation theory},
  author={Omid Rahmani and A. A. Jandaghian},
  journal={Applied Physics A},
  year={2015},
  volume={119},
  pages={1019-1032}
}
  • Omid Rahmani, A. A. Jandaghian
  • Published 2015
  • Chemistry
  • Applied Physics A
  • In this paper, a general third-order beam theory that accounts for nanostructure-dependent size effects and two-constituent material variation through the nanobeam thickness, i.e., functionally graded material (FGM) beam is presented. The material properties of FG nanobeams are assumed to vary through the thickness according to the power law. A detailed derivation of the equations of motion based on Eringen nonlocal theory using Hamilton’s principle is presented, and a closed-form solution is… CONTINUE READING

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