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Buckling of spontaneously twisted ribbons

A.d Drozdov, S.v Panyukov and Y Rabin

Physica A: Statistical Mechanics and its Applications, 2002, vol. 314, issue 1, 125-129

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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:314:y:2002:i:1:p:125-129

DOI: 10.1016/S0378-4371(02)01069-5

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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