Buckling of spontaneously twisted ribbons

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

doi:10.1016/s0378-4371(02)01069-5

Buckling of spontaneously twisted ribbons

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

Department of Physics - at Bar-Ilan University

Bar-Ilan University

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	125-129
Number of pages	5
Journal	Physica A: Statistical Mechanics and its Applications
Volume	314
Issue number	1-4
DOIs	https://doi.org/10.1016/s0378-4371(02)01069-5
State	Published - 2002

Bibliographical note

Funding Information:
A.D. acknowledges financial support by the Israeli Ministry of Science. Y.R.'s work is supported by a grant from the Israel Science Foundation. We would like to thank Y. Kats for help with numerical calculations.

Funding

A.D. acknowledges financial support by the Israeli Ministry of Science. Y.R.'s work is supported by a grant from the Israel Science Foundation. We would like to thank Y. Kats for help with numerical calculations.

Funders	Funder number
Israeli Ministry of Science
Israel Science Foundation

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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.",

author = "Drozdov, {A. D.} and Panyukov, {S. V.} and Y. Rabin",

note = "Funding Information: A.D. acknowledges financial support by the Israeli Ministry of Science. Y.R.'s work is supported by a grant from the Israel Science Foundation. We would like to thank Y. Kats for help with numerical calculations.",

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Buckling of spontaneously twisted ribbons

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