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Buckling of spontaneously twisted ribbons

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

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.

Suggested Citation

  • Drozdov, A.D & Panyukov, S.V & Rabin, Y, 2002. "Buckling of spontaneously twisted ribbons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 125-129.
  • Handle: RePEc:eee:phsmap:v:314:y:2002:i:1:p:125-129
    DOI: 10.1016/S0378-4371(02)01069-5
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