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arXiv · 1005.3320

Triangular buckling patterns of twisted inextensible strips

A. P. Korte·E. L. Starostin·G. H. M. van der Heijden
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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.

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A. P. Korte, E. L. Starostin, G. H. M. van der Heijden. 2010-05-18. Triangular buckling patterns of twisted inextensible strips. https://doi.org/10.1098/rspa.2010.0200

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