Elastic Knots Export

@article{citeulike:2019496, abstract = {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.}, author = {Audoly, B. and Clauvelin, N. and Neukirch, S.}, citeulike-article-id = {2019496}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000099000016164301000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v99/e164301}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/PhysRevLett.99.164301}, doi = {10.1103/PhysRevLett.99.164301}, journal = {Physical Review Letters}, keywords = {elasticity}, number = {16}, posted-at = {2007-11-29 21:38:56}, priority = {2}, publisher = {APS}, title = {Elastic Knots}, url = {http://dx.doi.org/10.1103/PhysRevLett.99.164301}, volume = {99}, year = {2007} }

TY - JOUR ID - citeulike:2019496 L3 - citeulike-article-id:2019496 N2 - 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. IS - 16 JF - Physical Review Letters TI - Elastic Knots PB - APS VL - 99 KW - elasticity AU - Audoly, B AU - Clauvelin, N AU - Neukirch, S PY - 2007/// UR - http://dx.doi.org/10.1103/PhysRevLett.99.164301 ER -