Axisymmetric deformation of geometrically imperfect circular graphene sheets

Axisymmetric deformation of geometrically imperfect circular graphene sheets In this study, we investigate the axisymmetric deformation of a geometrically imperfect circular graphene sheet subjected to a uniform radial load using nonlocal elasticity theory. Due to the imperfection of the graphene sheet, an inhomogeneous version of Bessel’s equation is derived as a nonlocal governing equation of the system. Closed-form expressions are obtained to predict the deformations of the graphene sheet as functions of the radius, small-scale coefficient, initial imperfection, and bending rigidity of the graphene sheet. Furthermore, relations are proposed to determine critical radial loads. The present model indicates that it is necessary to include the effect of an initial imperfection as well as the small-scale effect. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mechanica Springer Journals

Axisymmetric deformation of geometrically imperfect circular graphene sheets

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Publisher
Springer Vienna
Copyright
Copyright © 2017 by Springer-Verlag Wien
Subject
Engineering; Theoretical and Applied Mechanics; Classical and Continuum Physics; Continuum Mechanics and Mechanics of Materials; Structural Mechanics; Vibration, Dynamical Systems, Control; Engineering Thermodynamics, Heat and Mass Transfer
ISSN
0001-5970
eISSN
1619-6937
D.O.I.
10.1007/s00707-017-1891-7
Publisher site
See Article on Publisher Site

Abstract

In this study, we investigate the axisymmetric deformation of a geometrically imperfect circular graphene sheet subjected to a uniform radial load using nonlocal elasticity theory. Due to the imperfection of the graphene sheet, an inhomogeneous version of Bessel’s equation is derived as a nonlocal governing equation of the system. Closed-form expressions are obtained to predict the deformations of the graphene sheet as functions of the radius, small-scale coefficient, initial imperfection, and bending rigidity of the graphene sheet. Furthermore, relations are proposed to determine critical radial loads. The present model indicates that it is necessary to include the effect of an initial imperfection as well as the small-scale effect.

Journal

Acta MechanicaSpringer Journals

Published: Jun 7, 2017

References

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