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Erratum: Twist-Induced Snapping in a Bent Elastic Rod and Ribbon (Physical Review Letters (2019) 122 (114301) DOI: 10.1103/PhysRevLett.122.114301)

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Abstract

After the publication of this Letter, the authors realized a mistake in the analysis of the linear response theory. On page 3, left column, we stated, “Retaining the terms up to the quadratic orders in Erod and taking the flat-ribbon limit h/w?0, we arrive at the Euler-Lagrange equations for ? and ? as ?'=?/R and ?'' '' - ( G - 2 ) ? '' / R 2 + ? / R 4 = 0 , where G=(1+?)/2.” The correct form of the Euler-Lagrange equation for ?(s) should be the following: (Formula Presented). he quadratic term -A2?2/(2R2) was incorrectly omitted in the expansion of elastic energy Erod . Including that term leads to a modified third term (1-G)?/R4 in the left-hand side of Eq. (1). We updated the Supplemental Material, which now provides the correct analytical solution of Eq. (1) for arbitrary G. In the G?0 limit, the solution correctly reduces to Eq. (2) defined in this Letter. All other equations and analyses are correct; hence, the conclusions remain unchanged.

Original languageEnglish
Article number069901
JournalPhysical review letters
Volume129
Issue number6
DOIs
Publication statusPublished - 2022 Aug 5

ASJC Scopus subject areas

  • General Physics and Astronomy

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