Triangular buckling patterns of twisted inextensible strips
Classical Physics
2011-11-10 v1
Abstract
When twisting a strip of paper or acetate under high longitudinal tension, one observes, at some critical load, a buckling of the strip into a regular triangular pattern. Very similar triangular facets have recently been observed in solutions to a new set of geometrically-exact equations describing the equilibrium shape of thin inextensible elastic strips. Here we formulate a modified boundary-value problem for these equations and construct post-buckling solutions in good agreement with the observed pattern in twisted strips. We also study the force-extension and moment-twist behaviour of these strips by varying the mode number n of triangular facets.
Cite
@article{arxiv.1005.3320,
title = {Triangular buckling patterns of twisted inextensible strips},
author = {A. P. Korte and E. L. Starostin and G. H. M. van der Heijden},
journal= {arXiv preprint arXiv:1005.3320},
year = {2011}
}