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Triangular buckling patterns of twisted inextensible strips

Korte, AP; Starostin, EL; Heijden, GHMVD; Triangular buckling patterns of twisted inextensible strips. Proc.R.Soc. A 467 no. , 2125 pp. 285-303. 10.1098/rspa.2010.0200.

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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.

Type: Article
Title: Triangular buckling patterns of twisted inextensible strips
DOI: 10.1098/rspa.2010.0200
Publisher version: http://dx.doi.org/10.1098/rspa.2010.0200
Keywords: physics.class-ph, physics.class-ph
UCL classification: UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Engineering Science
URI: http://discovery.ucl.ac.uk/id/eprint/84568
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