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Persistence of a pinch in a pipe

L. Mahadevan 1 , A. Vaziri 1 and M. Das 1

Published 9 February 2007 • Europhysics Letters Association
EPL (Europhysics Letters) , Volume 77 , Number 4

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1 Division of Engineering and Applied Sciences, Harvard University – Pierce Hall, 29 Oxford Street, Cambridge MA 02138, USA

Received 1 July 2006
Published 9 February 2007

L. Mahadevan et al 2007 EPL 77 40003

Abstract

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.

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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.

pitch pipe

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Pitch pipe definition, a small flute or reed pipe producing one or more pitches when blown into, used chiefly for establishing the proper pitch in singing or in tuning a musical instrument. See more. ]]>