by S.K.Georgantzinos, S.Markolefas, G.I.Giannopoulos, D.E.Katsareas, N.K.Anifantis
in Superlattices and Microstructures, Volume 103, March 2017, Pages 343-357
Highlights
• The effect on critical buckling load (CBL) of a pinhole in a graphene is similar in armchair and zigzag directions.
• As the pinhole size increases, the CBL decreases.
• As a pinhole is moved towards the loaded edge, the CBL increases and when moved towards the supported edge, it decreases.
• New empirical-analytical equations for predicting the buckling behavior of graphene with pinhole-type atom vacancies are proposed.
The graphene is modeled by a structural spring-based finite element approach, in which every interatomic interaction is approached as a linear spring.
Abstract
The effect of size and placement of pinhole-type atom vacancies on Euler’s critical load on free-standing, monolayer graphene, is investigated. The graphene is modeled by a structural spring-based finite element approach, in which every interatomic interaction is approached as a linear spring. The geometry of graphene and the pinhole size lead to the assembly of the stiffness matrix of the nanostructure. Definition of the boundary conditions of the problem leads to the solution of the eigenvalue problem and consequently to the critical buckling load. Comparison to results found in the literature illustrates the validity and accuracy of the proposed method. Parametric analysis regarding the placement and size of the pinhole-type vacancy, as well as the graphene geometry, depicts the effects on critical buckling load. Non-linear regression analysis leads to empirical-analytical equations for predicting the buckling behavior of graphene, with engineered pinhole-type atom vacancies.
Keywords
Graphene,Critical buckling load, Pinhole vacancy, Functionalization, FEM, Stability