Buckling of spontaneously twisted ribbons

A. D. Drozdov, S. V. Panyukov, Y. Rabin

Research output: Contribution to journalArticlepeer-review

Abstract

We study the effect of spontaneous twist on the buckling instability of thin rectilinear elastic filaments with non-circular cross-section (ribbons). We find that the presence of twist in the stress-free reference state increases, albeit non-monotonically, the critical load at which buckling takes place. Stability with respect to buckling increases with the asymmetry of the cross-section and saturates at twice the Euler value for an untwisted beam. The classical Euler result is recovered, independent of twist, for filaments with circularly symmetric cross-section.

Original languageEnglish
Pages (from-to)125-129
Number of pages5
JournalPhysica A: Statistical Mechanics and its Applications
Volume314
Issue number1-4
DOIs
StatePublished - 1 Jan 2002
Externally publishedYes

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