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Thin plate effects in the Rayleigh–Taylor instability of elastic solids

Published online by Cambridge University Press:  08 June 2006

A. R. PIRIZ ,
J. J. LÓPEZ CELA ,
M. C. SERNA MORENO ,
N. A. TAHIR  and
D. H. H. HOFFMANN
A. R. PIRIZ
Affiliation:
E.T.S.I. Industriales, Universidad de Castilla-La Mancha, Ciudad Real, Spain
J. J. LÓPEZ CELA
Affiliation:
E.T.S.I. Industriales, Universidad de Castilla-La Mancha, Ciudad Real, Spain
M. C. SERNA MORENO
Affiliation:
E.T.S.I. Industriales, Universidad de Castilla-La Mancha, Ciudad Real, Spain
N. A. TAHIR
Affiliation:
Gesellschaft für Schwerionenforschung, Darmstadt, Germany
D. H. H. HOFFMANN
Affiliation:
Institut für Kernphysik, Technishe Universität Darmstadt, Darmstadt, Germany and Gesellschaft für Schwerionenforschung, Darmstadt, Germany
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Abstract

We perform the analysis of the Rayleigh–Taylor instability of thin perfectly elastic solid plates using the analytical approach recently developed by Piriz and coworkers. The model describes the evolution of the perturbation amplitude from the initial conditions and at relatively long times it yields the asymptotic growth rate. It applies to solid/inviscid fluid interfaces. For the particular case of solid/vacuum interface, the model has been compared with the exact results by Plohr and Sharp and an excellent agreement has been found. In general, thinner plates are found to be more unstable and, in the presence of a fluid below the elastic plate, the growth rate is reduced.

Keywords

Elastic solidsPerturbation amplitudeRayleigh-Taylor instabilitySemi-infinite apporximationSymmetry constraints
Type
Research Article
Information
Laser and Particle Beams , Volume 24 , Issue 2 , June 2006 , pp. 275 - 282
Copyright
© 2006 Cambridge University Press

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References

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