Bending energy of buckled edge dislocations

Raz Kupferman
Phys. Rev. E 96, 063002 – Published 11 December 2017

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.

  • Figure
  • Figure
  • Received 4 September 2017

DOI:https://doi.org/10.1103/PhysRevE.96.063002

©2017 American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft Matter

Authors & Affiliations

Raz Kupferman*

  • Einstein Institute of Mathematics, The Hebrew University, Jerusalem 91904, Israel

  • *raz@math.huji.ac.il

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 96, Iss. 6 — December 2017

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 E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×