Dislocation Field Theory in 2D: Application to Graphene
Mesoscale and Nanoscale Physics
2015-10-15 v1 Materials Science
Abstract
A two-dimensional (2D) dislocation continuum theory is being introduced. The present theory adds elastic rotation, dislocation density, and background stress to the classical energy density of elasticity. This theory contains four material moduli. Two characteristic length scales are defined in terms of the four material moduli. Non-singular solutions of the stresses and elastic distortions of an edge dislocation are calculated. It has been pointed out that the elastic strain agrees well with experimental data found recently for an edge dislocation in graphene.
Cite
@article{arxiv.1510.04058,
title = {Dislocation Field Theory in 2D: Application to Graphene},
author = {Markus Lazar},
journal= {arXiv preprint arXiv:1510.04058},
year = {2015}
}