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Triangular buckling patterns of twisted inextensible strips

VAN DER HEIJDEN, G; Korte, AP; Starostin, EL; (2010) Triangular buckling patterns of twisted inextensible strips. Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences , 467 (2125) 285 - 303. 10.1098/rspa.2010.0200.

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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.

Type:Article
Title:Triangular buckling patterns of twisted inextensible strips
DOI:10.1098/rspa.2010.0200
Publisher version:http://rspa.royalsocietypublishing.org/cgi/content/abstract/rspa.2010.0200
UCL classification:UCL > School of BEAMS > Faculty of Engineering Science > Civil, Environmental and Geomatic Engineering

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