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    Non-linear dynamic intertwining of rods with self-contact

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    Goyal_manuscript.pdf (456.9Kb)
    Date
    2007-10
    Author
    Goyal, Sachin  Concept link
    Perkins, N. C.  Concept link
    Lee, Christopher L.  Concept link
    Metadata
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    Citable URI
    https://hdl.handle.net/1912/2244
    As published
    https://doi.org/10.1016/j.ijnonlinmec.2007.10.004
    Keyword
     Rod dynamics; Self-contact; Intertwining; DNA Supercoiling; Cable hockling 
    Abstract
    Twisted marine cables on the sea floor can form highly contorted three-dimensional loops that resemble tangles. Such tangles or ‘hockles’ are topologically equivalent to the plectomenes that form in supercoiled DNA molecules. The dynamic evolution of these intertwined loops is studied herein using a computational rod model that explicitly accounts for dynamic self-contact. Numerical solutions are presented for an illustrative example of a long rod subjected to increasing twist at one end. The solutions reveal the dynamic evolution of the rod from an initially straight state, through a buckled state in the approximate form of a helix, through the dynamic collapse of this helix into a near-planar loop with one site of self-contact, and the subsequent intertwining of this loop with multiple sites of self-contact. This evolution is controlled by the dynamic conversion of torsional strain energy to bending strain energy or, alternatively by the dynamic conversion of twist (Tw) to writhe (Wr).
    Description
    Author Posting. © Elsevier B.V., 2007. This is the author's version of the work. It is posted here by permission of Elsevier B.V. for personal use, not for redistribution. The definitive version was published in International Journal of Non-Linear Mechanics 43 (2008): 65-73, doi:10.1016/j.ijnonlinmec.2007.10.004.
    Collections
    • Applied Ocean Physics and Engineering (AOP&E)
    Suggested Citation
    Preprint: Goyal, Sachin, Perkins, N. C., Lee, Christopher L., "Non-linear dynamic intertwining of rods with self-contact", 2007-10, https://doi.org/10.1016/j.ijnonlinmec.2007.10.004, https://hdl.handle.net/1912/2244
     

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