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A new triangular buckling pattern of twisted inextensible sheets

VAN DER HEIJDEN, G; Korte, AP; (2010) A new triangular buckling pattern of twisted inextensible sheets. In: Zingoni, A, (ed.) Advances and Trends in Structural Engineering, Mechanics and Computation. (pp. 545 - 548). CRC Press/Balkema: Leiden, The Netherlands.

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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 use those solutions to 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. By applying periodic boundary conditions we also compute closed strips, including knotted ones. These solutions may be relevant for graphene ribbons currently being fabricated and studied in nanotechnology.

Type: Proceedings paper
Title: A new triangular buckling pattern of twisted inextensible sheets
Event: Fourth International Conference on Structural Engineering, Mechanics and Computation (SEMC 2010)
Location: Cape Town, South Africa
Dates: 2010-09-06 - 2010-09-08
ISBN: 0415584728
ISBN-13: 9780415584722
Publisher version: http://www.crcpress.com/product/isbn/9780415584722
UCL classification: UCL > School of BEAMS > Faculty of Engineering Science > Civil, Environmental and Geomatic Engineering
URI: http://discovery.ucl.ac.uk/id/eprint/1320011
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