期刊
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
卷 467, 期 2125, 页码 285-303出版社
ROYAL SOC
DOI: 10.1098/rspa.2010.0200
关键词
twisted inextensible strip; triangular buckling pattern; calculus of variations; boundary-value problem; load-displacement behaviour
资金
- UK's Engineering and Physical Sciences Research Council (EPSRC) [EP/F023383/1]
- Engineering and Physical Sciences Research Council [EP/F023383/1] Funding Source: researchfish
- EPSRC [EP/F023383/1] Funding Source: UKRI
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.
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