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Triangular buckling patterns of twisted inextensible strips

A. P. Korte, E. L. Starostin and G. H. M. van der Heijden
Proceedings: Mathematical, Physical and Engineering Sciences
Vol. 467, No. 2125 (8 January 2011), pp. 285-303
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/40998090
Page Count: 19
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Triangular buckling patterns of twisted inextensible strips
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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 found 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 and find critical loads with jumps to higher modes.

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