Buckling analysis of a bi-directional strain-gradient euler-bernoulli nano-beams

Murat Çelik, Reha Artan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

Investigated herein is the buckling of Euler-Bernoulli nano-beams made of bi-directional functionally graded material with the method of initial values in the frame of gradient elasticity. Since the transport matrix cannot be calculated analytically, the problem was examined with the help of an approximate transport matrix (matricant). This method can be easily applied with buckling analysis of arbitrary two-directional functionally graded Euler-Bernoulli nano-beams based on gradient elasticity theory. Basic equations and boundary conditions are derived by using the principle of minimum potential energy. The diagrams and tables of the solutions for different end conditions and various values of the parameters are given and the results are discussed.

Original languageEnglish
Article number2050114
JournalInternational Journal of Structural Stability and Dynamics
Volume20
Issue number11
DOIs
Publication statusPublished - 1 Oct 2020
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2020 World Scientific Publishing Company.

Keywords

  • bi-directional functionally graded materials
  • buckling
  • Euler-Bernoulli nano-beams
  • method of initial values
  • stability of beams
  • Theory of gradient elasticity
  • transfer matrix

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