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

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 t...

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Bibliographic Details

Published in:	Theoretical and mathematical physics Vol. 159; no. 3; pp. 698 - 711
Main Authors:	Argeri, M., Barone, V., De Lillo, S., Lupo, G., Sommacal, M.
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01-06-2009
Subjects:	Applications of Mathematics Mathematical and Computational Physics Physics Physics and Astronomy Theoretical inverse problem Kirchhoff equation integrability thin elastic rod helix
Online Access:	Get full text
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