Open AccessA nonlinear plate theory for the monolayer graphene
Author(s) -
Kun Huang,
Yin Ya-Jun,
Jing Wu
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.156201
Subject(s) - graphene , plate theory , materials science , nonlinear system , elasticity (physics) , bending , buckling , bending of plates , monolayer , quintic function , ritz method , enhanced data rates for gsm evolution , composite material , classical mechanics , mechanics , mathematical analysis , physics , boundary value problem , mathematics , nanotechnology , computer science , telecommunications , quantum mechanics
In the present paper, the kinematic equation of a monolayer graphene is proposed based on a plate theory, and the nonlinear elasticity stress-strain relations are obtained from experiments. The equation includes cubic and quintic nonlinearities. The bending produced when subjected to a concentrated force at the center of the plate and the static buckling arising from edge in-plane axial uniform loads are investigated using Ritz methods for a simply-supported rectangular plate. Results suggest that the plate theory with nonlinear constitutive equation may characterize the mechanical property of a monolayer graphene appropriately, and the quintic nonlinearities have a significant effect on the bending deformations of the graphene.