Triangular buckling patterns of twisted inextensible strips

Details Triangular buckling patterns of twisted inextensible strips Triangular buckling patterns of twisted inextensible strips

2010-05-18

arxiv.org/abs/1005.3320v1

Proc.R.Soc. A 467 no. 2125 (2011) 285-303

Physics

Classical Physics

Scientific paper

10.1098/rspa.2010.0200

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.

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