Open AccessEquivalent mechanical boundary conditions for single layer graphene sheets
Author(s) -
Sadeghzadeh Sadegh
Publication year - 2016
Publication title -
micro and nano letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.25
H-Index - 31
ISSN - 1750-0443
DOI - 10.1049/mnl.2015.0427
Subject(s) - graphene , nanoelectromechanical systems , materials science , enhanced data rates for gsm evolution , boundary value problem , substrate (aquarium) , monolayer , work (physics) , silicon , boundary (topology) , resonator , nanotechnology , mechanics , structural engineering , mechanical engineering , mathematics , computer science , physics , mathematical analysis , engineering , optoelectronics , nanomedicine , telecommunications , oceanography , geology , nanoparticle
To describe and analyse mechanical structures due to external loads, equation of motion must be supplemented with appropriate boundary conditions. When nanomechanical structures (especially layered systems) are considered, satisfying the boundaries is more challenging. It may be essential to develop a specific methodology for any system in such scale and configuration. This work introduces a general approach for boundary conditions of monolayer graphene sheets as the most important part of future sensors and resonators in nanoelectromechanical systems. Comparing with the experiments, it has been demonstrated that the graphene sheets on the adhesive surfaces should be assumed as a hinged edge condition and not as a clamped one. As a result, inaccuracy of the commonly used rigid base as a clamped condition is proven due to comparison with a reported experiment. It is suggested that a flexible substrate can be replaced to have better accordance. A flexible silicon base with equilibrium distance equal to s = 2.5 Å and depth of potential well equal to ε = 0.02 eV is obtained as the best substrate for a square graphene sheet under doubly clamped edge conditions.