Differential Quadrature Method for Dynamic Buckling of Graphene Sheet Coupled by a Viscoelastic Medium Using Neperian Frequency Based on Nonlocal Elasticity Theory

Journal of Applied and Computational Mechanics

Mohammad Malikan¹  Mohammad Naser Sadraee Far² 

[1] Department of Mechanical engineering, faculty of engineering, Islamic Azad University, Mashhad branch, Iran;Department of mechanical engineering, Islamic Azad university, Mashhad;

关键词: Dynamic buckling;    Graphene sheet;    Viscoelastic matrix;    differential quadrature method;   

DOI  :  10.22055/jacm.2017.22661.1138

来源: DOAJ

【 摘 要 】

In the present study, the dynamic buckling of the graphene sheet coupled by a viscoelastic matrix was studied. In light of the simplicity of Eringen's non-local continuum theory to considering the nanoscale influences, this theory was employed. Equations of motion and boundary conditions were obtained using Mindlin plate theory by taking nonlinear strains of von Kármán and Hamilton's principle into account. On the other hand, a viscoelastic matrix was modeled as a three-parameter foundation. Furthermore, the differential quadrature method was applied by which the critical load was obtained. Finally, since there was no research available for the dynamic buckling of a nanoplate, the static buckling was taken into consideration to compare the results and explain some significant and novel findings. One of these results showed that for greater values of the nanoscale parameter, the small scale had further influences on the dynamic buckling.

【 授权许可】

Unknown