Geometry and equilibria of parallel bundles of elastic rods.
Presented at: 6th European Solid Mechanics Conference.
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:||Conference item (UNSPECIFIED)|
|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 > Faculty of Engineering Science
UCL > School of BEAMS > Faculty of Engineering Science > Civil, Environmental and Geomatic Engineering
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