Nonlinear elastic behavior of graphene: Ab initio calculations to continuum description

Xiaoding Wei, Benjamin Fragneaud, Chris A. Marianetti, and Jeffrey W. Kysar
Phys. Rev. B 80, 205407 – Published 10 November 2009

Abstract

The nonlinear in-plane elastic properties of graphene are calculated using density-functional theory. A thermodynamically rigorous continuum description of the elastic response is formulated by expanding the elastic strain energy density in a Taylor series in strain truncated after the fifth-order term. Upon accounting for the symmetries of graphene, a total of fourteen nonzero independent elastic constants are determined by least-squares fit to the ab initio calculations. The nonlinear continuum description is valid for infinitesimal and finite strains under arbitrary in-plane tensile loading in circumstance for which the bending stiffness can be neglected. The continuum formulation is suitable for incorporation into the finite element method.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 12 August 2009

DOI:https://doi.org/10.1103/PhysRevB.80.205407

©2009 American Physical Society

Authors & Affiliations

Xiaoding Wei1, Benjamin Fragneaud1, Chris A. Marianetti2, and Jeffrey W. Kysar1,*

  • 1Department of Mechanical Engineering, Columbia University, New York, New York 10027, USA
  • 2Department of Applied Physics and Applied Mathematics, Columbia University, New York, New York 10027, USA

  • *Author to whom correspondence should be addressed; jk2079@columbia.edu

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 80, Iss. 20 — 15 November 2009

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×