A comparison for the non-classical plate model based on axial buckling of single-layered graphene sheets

A. M. Fattahi, B. Safaei, N. A. Ahmed

Research output: Contribution to journalArticlepeer-review

51 Citations (Scopus)

Abstract

In this study, the size effect on the axial buckling behavior of single-layered graphene sheets embedded in elastic foundation is studied. Eringen’s non-local elasticity equations are incorporated into first-order shear deformation, higher-order shear deformation, and classical plate theories. Values of Winkler and Pasternak moduli parameters, side lengths of square SLGSs, non-local parameter and mode numbers are obtained from different non-local plate theories. It is shown that the axial buckling behavior is strongly dependent on non-local parameters and moduli which are different for different numbers and side lengths. Furthermore, we find that non-locality is more influential in first-order shear deformation than other non-local plate theories, especially in certain ranges of non-local parameters. Sensitivity indices are determined based on the Sobol method in their corresponding physical ranges.

Original languageEnglish
Article number555
JournalEuropean Physical Journal Plus
Volume134
Issue number11
DOIs
Publication statusPublished - 1 Nov 2019

ASJC Scopus subject areas

  • General Physics and Astronomy

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