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Article
Nonlinear Dynamics and Loop Formation in Kirchoff Rods with Implications to the Mechanics of DNA and Cables
2005
  • Sachin Goyal
  • Noel C. Perkins
  • Christopher L Lee, Franklin W. Olin College of Engineering
Document Type
Article
Publication Date
10-1-2005
Abstract
The paper contributes a general dynamical formulation and numerical solution procedure for studying nonlinear and three-dimensional dynamics of Kirchhoffrods. Target applications include the dynamic formation of DNA loops and supercoils as well as loops (hockles) in marine cables. The formulation accommodates non-homogeneous and non-isotropic inextensible rods both with and without coupling of tension and torsion. The utility of this formulation is illustrated by studying the dynamics and quasi-static response of a clamped–clamped rod subject to compression and/or twist. For slow loading rates, the computed quasi-static responses converge to published equilibrium solutions for a benchmark problem. As loading rates increase, new behaviors are observed including hysteresis in the neighborhood of equilibrium bifurcations. The addition of chirality in the form of tension–torsion coupling has a pronounced influence on the computed looped geometries. This finding has implications for DNAloops formed by DNA–protein binding as well as loop formation in helically wound wire and synthetic cables.
Comments

© 2005 Elsevier. This article was published in Journal of Computational Physics, vol. 209, iss. 1, p. 371-389 and may be found here.

Citation Information
Sachin Goyal, Noel C. Perkins and Christopher L Lee. "Nonlinear Dynamics and Loop Formation in Kirchoff Rods with Implications to the Mechanics of DNA and Cables" (2005)
Available at: http://works.bepress.com/christopher_lee/35/