Volume 77, Number 4, February 2007
|Number of page(s)||5|
|Published online||09 February 2007|
Persistence of a pinch in a pipe
Division of Engineering and Applied Sciences, Harvard University - Pierce Hall, 29 Oxford Street, Cambridge MA 02138, USA
Corresponding author: email@example.com
Accepted: 14 December 2006
The response of low-dimensional solid objects combines geometry and physics in unusual ways, exemplified in structures of great utility such as a thin-walled tube that is ubiquitous in nature and technology. Here we provide a consequence of this confluence of geometry and physics in tubular structures: our analysis shows that the persistence of a localized pinch in an elastic pipe whose effect decays as an oscillatory exponential with a persistence length that diverges as the thickness of the tube vanishes, which we confirm using simulations and simple experiments. The result is more a consequence of geometry than material properties, and is thus equally applicable to carbon nanotubes as it is to oil pipelines.
PACS: 02.40.Yy – Geometric mechanics / 46.05.+b – General theory of continuum mechanics of solids / 46.70.De – Beams, plates and shells
© Europhysics Letters Association, 2007
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