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.
|Number of pages||5|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - 1 Jan 2002|
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics