Elastic knots.
نویسندگان
چکیده
We study the mechanical response of elastic rods bent into open knots, focusing on the case of trefoil and cinquefoil topologies. The limit of a weak applied tensile force is studied both analytically and experimentally: the Kirchhoff equations with self-contact are solved by means of matched asymptotic expansions; predictions on both the geometrical and mechanical properties of the elastic equilibrium are compared to experiments. The extension of the theory to tight knots is discussed.
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ورودعنوان ژورنال:
- Physical review letters
دوره 99 16 شماره
صفحات -
تاریخ انتشار 2007