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Title: Linear analysis of incompressible Rayleigh-Taylor instability in solids

Abstract

The study of the linear stage of the incompressible Rayleigh-Taylor instability in elastic-plastic solids is performed by considering thick plates under a constant acceleration that is also uniform except for a small sinusoidal ripple in the horizontal plane. The analysis is carried out by using an analytical model based on the Newton second law and it is complemented with extensive two-dimensional numerical simulations. The conditions for marginal stability that determine the instability threshold are derived. Besides, the boundary for the transition from the elastic to the plastic regime is obtained and it is demonstrated that such a transition is not a sufficient condition for instability. The model yields complete analytical solutions for the perturbation amplitude evolution and reveals the main physical process that governs the instability. The theory is in general agreement with the numerical simulations and provides useful quantitative results. Implications for high-energy-density-physics experiments are also discussed.

Authors:
; ;  [1]
  1. E.T.S.I. Industriales, Universidad de Castilla-La Mancha and Instituto de Investigaciones Energeticas, 13071 Ciudad Real (Spain)
Publication Date:
OSTI Identifier:
21294422
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)
Additional Journal Information:
Journal Volume: 80; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevE.80.046305; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1539-3755
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCELERATION; ANALYTICAL SOLUTION; COMPUTERIZED SIMULATION; ENERGY DENSITY; PERTURBATION THEORY; RAYLEIGH-TAYLOR INSTABILITY; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Piriz, A R, Lopez Cela, J J, Tahir, N A, and GSI Helmholtzzentrum fuer Schwerionenforschung Darmstadt, Planckstrasse 1, 64291 Darmstadt. Linear analysis of incompressible Rayleigh-Taylor instability in solids. United States: N. p., 2009. Web. doi:10.1103/PHYSREVE.80.046305.
Piriz, A R, Lopez Cela, J J, Tahir, N A, & GSI Helmholtzzentrum fuer Schwerionenforschung Darmstadt, Planckstrasse 1, 64291 Darmstadt. Linear analysis of incompressible Rayleigh-Taylor instability in solids. United States. https://doi.org/10.1103/PHYSREVE.80.046305
Piriz, A R, Lopez Cela, J J, Tahir, N A, and GSI Helmholtzzentrum fuer Schwerionenforschung Darmstadt, Planckstrasse 1, 64291 Darmstadt. 2009. "Linear analysis of incompressible Rayleigh-Taylor instability in solids". United States. https://doi.org/10.1103/PHYSREVE.80.046305.
@article{osti_21294422,
title = {Linear analysis of incompressible Rayleigh-Taylor instability in solids},
author = {Piriz, A R and Lopez Cela, J J and Tahir, N A and GSI Helmholtzzentrum fuer Schwerionenforschung Darmstadt, Planckstrasse 1, 64291 Darmstadt},
abstractNote = {The study of the linear stage of the incompressible Rayleigh-Taylor instability in elastic-plastic solids is performed by considering thick plates under a constant acceleration that is also uniform except for a small sinusoidal ripple in the horizontal plane. The analysis is carried out by using an analytical model based on the Newton second law and it is complemented with extensive two-dimensional numerical simulations. The conditions for marginal stability that determine the instability threshold are derived. Besides, the boundary for the transition from the elastic to the plastic regime is obtained and it is demonstrated that such a transition is not a sufficient condition for instability. The model yields complete analytical solutions for the perturbation amplitude evolution and reveals the main physical process that governs the instability. The theory is in general agreement with the numerical simulations and provides useful quantitative results. Implications for high-energy-density-physics experiments are also discussed.},
doi = {10.1103/PHYSREVE.80.046305},
url = {https://www.osti.gov/biblio/21294422}, journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)},
issn = {1539-3755},
number = 4,
volume = 80,
place = {United States},
year = {Thu Oct 15 00:00:00 EDT 2009},
month = {Thu Oct 15 00:00:00 EDT 2009}
}