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Impact dynamics for a floating elastic membrane

Published online by Cambridge University Press:  03 September 2014

L. Duchemin  and
N. Vandenberghe Open the ORCID record for N. Vandenberghe [Opens in a new window]
L. Duchemin*
Affiliation:
Aix Marseille Université, CNRS, Centrale Marseille, IRPHE UMR 7342, 13384, Marseille, France
N. Vandenberghe
Affiliation:
Aix Marseille Université, CNRS, Centrale Marseille, IRPHE UMR 7342, 13384, Marseille, France
*
†Email address for correspondence: duchemin@irphe.univ-mrs.fr
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Abstract

We study impacts of a rigid body on a thin elastic sheet floating on a liquid. When struck by a solid object of small size, the elastic sheet deforms and waves propagate in and on the membrane. The impact triggers a longitudinal elastic wave effectively stretching the membrane. The hydroelastic transverse wave that propagates in the stretched domain is similar to capillary waves on a free surface with an equivalent ‘surface tension’ that results from the stretching of the elastic membrane. Two limiting cases, for which a self-similar solution can be computed, corresponding to short and long times are identified. Surprisingly, our study reveals that the fluid–body system behaves as a regular liquid–gas interface, but with an effective surface tension coefficient that scales linearly with the impact velocity.

JFM classification

Waves/Free-surface Flows: Capillary waves Waves/Free-surface Flows: Elastic waves
Type
Papers
Information
Journal of Fluid Mechanics , Volume 756 , 10 October 2014 , pp. 544 - 554
Copyright
© 2014 Cambridge University Press 

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