On the Bending Energy of Buckled Edge-Dislocations
Soft Condensed Matter
2017-12-20 v1 Mathematical Physics
math.MP
Abstract
The study of elastic membranes carrying topological defects has a longstanding history, going back at least to the 1950s. When allowed to buckle in three-dimensional space, membranes with defects can totally relieve their in-plane strain, remaining with a bending energy, whose rigidity modulus is small compared to the stretching modulus. In this paper, we study membranes with a single edge-dislocation. We prove that the minimum bending energy associated with strain-free configurations diverges logarithmically with the size of the system.
Keywords
Cite
@article{arxiv.1709.02728,
title = {On the Bending Energy of Buckled Edge-Dislocations},
author = {Raz Kupferman},
journal= {arXiv preprint arXiv:1709.02728},
year = {2017}
}