Existence of energy minimums for thin elastic rods in static helical configurations

Argeri, Mario, Barone, Vincenzo, de Lillo, Silvana, Lupo, Gaia and Sommacal, Matteo (2009) Existence of energy minimums for thin elastic rods in static helical configurations. Theoretical and Mathematical Physics, 159 (3). pp. 698-711. ISSN 1751-8113

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Official URL: http://dx.doi.org/10.1007/s11232-009-0058-7


We characterize families of solutions of the static Kirchhoff model of a thin elastic rod physically. These
families, which are proved to exist, depend on the behavior of the so-called register and also on the radius and pitch. We describe the energy densities for each of the solutions in terms of the elastic properties and geometric shape of the unstrained rod, which allows determining the selection mechanism for the preferred helical configurations. This analysis promises to be a fundamental tool for understanding the close connection between the study of elastic deformations in thin rods and coarse-grained models with
widespread applications in the natural sciences.

Item Type: Article
Subjects: G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Sarah Howells
Date Deposited: 20 Apr 2012 14:12
Last Modified: 13 Oct 2019 00:25
URI: http://nrl.northumbria.ac.uk/id/eprint/6367

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