TY - JOUR
T1 - Buckling of spontaneously twisted ribbons
AU - Drozdov, A. D.
AU - Panyukov, S. V.
AU - Rabin, Y.
N1 - 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.
PY - 2002/1/1
Y1 - 2002/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0036936727&partnerID=8YFLogxK
U2 - 10.1016/S0378-4371(02)01069-5
DO - 10.1016/S0378-4371(02)01069-5
M3 - Article
AN - SCOPUS:0036936727
SN - 0378-4371
VL - 314
SP - 125
EP - 129
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-4
ER -