VAN DER HEIJDEN, G;
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.
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.
|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|
|UCL classification:||UCL > School of BEAMS > Faculty of Engineering Science > Civil, Environmental and Geomatic Engineering|
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