Matched asymptotic expansions for twisted elastic knots: A self-contact problem with non-trivial contact topology
نویسندگان
چکیده
منابع مشابه
Matched asymptotic expansions for twisted elastic knots: A self-contact problem with non-trivial contact topology
We derive solutions of the Kirchhoff equations for a knot tied on an infinitely long elastic rod subjected to combined tension and twist, and held at both endpoints at infinity. We consider the case of simple (trefoil) and double (cinquefoil) knots; other knot topologies can be investigated similarly. The rod model is based on Hookean elasticity but is geometrically nonlinear. The problem is fo...
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ژورنال
عنوان ژورنال: Journal of the Mechanics and Physics of Solids
سال: 2009
ISSN: 0022-5096
DOI: 10.1016/j.jmps.2009.05.004