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Geometry and equilibria of parallel bundles of elastic rods

Starostin, E; (2006) Geometry and equilibria of parallel bundles of elastic rods. In: (Proceedings) 6th European Solid Mechanics Conference. : Budapest, Hungary. Green open access


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Geometrical conditions of existence of curved bundles of hexagonally packed rods are presented.Closure of the bundle results in a group of automorphisms of the cross-sectional lattice. The elastic energy accountsfor bending and torsion of the rods. Equilibria of the bundle correspond to solutions of a variational problemformulated for the axis of the bundle. The Euler-Lagrange equations are obtained in terms of curvature andtorsion and the problem is reduced to the quadrature. The Ilyukhin-type equations describe the shape of thebundle in special cylindrical coordinates. The results are of universal nature and are applicable to various fibrousstructures, including DNA and nanotubes.

Type: Proceedings paper
Title: Geometry and equilibria of parallel bundles of elastic rods
Event: 6th European Solid Mechanics Conference
Open access status: An open access version is available from UCL Discovery
Additional information: Imported via OAI, 7:29:01 25th Nov 2006
UCL classification: UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Engineering Science
URI: http://discovery.ucl.ac.uk/id/eprint/2317
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