Bending energy of buckled edge dislocations

Raz Kupferman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageAmerican English
Article number063002
JournalPhysical Review E
Volume96
Issue number6
DOIs
StatePublished - 11 Dec 2017

Bibliographical note

Publisher Copyright:
© 2017 American Physical Society.

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