2000/02/01 by Aleksey D. Drozdov, Drozdov, Aleksey D., Yitzhak Rabin +1
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Cellular Mechanics and Interactions #Elasticity and Material Modeling #FOS: Physical sciences #Protein Structure and Dynamics #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.cond-mat/0002004
28 pages, 2 figures
arxiv created 2000/02/01 · openalex publication_date 2000/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study three-dimensional deformations of thin inextensible elastic rods\nwith non-vanishing spontaneous curvature and torsion. In addition to the usual\ndescription in terms of curvature and torsion which considers only the\nconfiguration of the centerline of the rod, we allow deformations that involve\nthe rotation of the rod's cross-section around its centerline. We derive new\nexpressions for the mechanical energy and for the force and moment balance\nconditions for the equilibrium of a rod under the action of arbitrary external\nloads. Several illustrative examples are studied and the connection between our\nresults and recent experiments on stretching of supercoiled DNA molecules is\ndiscussed.\n