Twist and Stretch of Helices Explained via the Kirchhoff-Love Rod Model of Elastic Filaments

Bojan Đuričković, Alain Goriely, John H. Maddocks

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

In various single-molecule experiments, a chiral polymer, such as DNA, is simultaneously pulled and twisted. We address an elementary but fundamental question raised by various authors: does the molecule overwind or unwind under tension? We show that within the context of the classic Kirchhoff-Love rod model of elastic filaments, both behaviors are possible, depending on the precise constitutive relations of the polymer. More generally, our analysis provides an effective linear response theory for helical structures that relates axial force and axial torque to axial translation and rotation. © 2013 American Physical Society.
Original languageEnglish (US)
JournalPhysical Review Letters
Volume111
Issue number10
DOIs
StatePublished - Sep 5 2013
Externally publishedYes

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