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A fully elastic model for studying submerged circular cylindrical shells subjected to a weak shock wave

Published online by Cambridge University Press:  05 August 2009

Cédric Leblond
Affiliation:
LEPTIAB, Université de La Rochelle, Avenue Michel Crépeau, 17042 La Rochelle Cedex 1, France
Serguei Iakovlev
Affiliation:
Dept of Engineering Mathematics and Internetworking, Dalhousie University, Halifax, Canada B3J 2X4
Jean-Francois Sigrist
Affiliation:
Service Technique et Scientifique, DCNS Propulsion Indret, BP 30, 44620 La Montagne, France
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Abstract

The transient dynamics of evacuated and fluid-filled circular elastic shells, submerged in an infinite fluid medium and subjected to an external weak shock wave,is considered in this paper. This circular shell/acoustic medium interaction problem has already been tackled with simplified thin shell models, based on the Love-Kirchhoff hypotheses for thestructural dynamics. In this case, the resulting radiated pressure field displays some discrepancies related to the A0/S0 waves when compared to the experimental data available inthe literature for the evacuated case. These drawbacks are overcome here by the use of an isotropic elastic model for the structural dynamics and an inviscid acoustic flow for the fluid dynamics,in a two-dimensional framework. The approach is based on the methods of Laplace transform in time, Fourier series expansions and separation of variables in space. For the fluid-filled case,the transient thick shell-weak shock wave interaction problem is explored and the radiated acoustic field described.

Type
Research Article
Copyright
© AFM, EDP Sciences, 2009

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