Shock formation and the ideal shape of ramp compression waves

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Damian C. Swift
Condensed Matter and Materials Division,Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94551, USA

Richard G. Kraus
Department of Physics, Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom

Eric N. Loomis
Group P-24, Los Alamos National Laboratory, Mail Stop E526, Los Alamos, New Mexico 87545, USA

Damien G. Hicks
V Division, Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94551, USA

James M. McNaney
Condensed Matter and Materials Division,Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94551, USA

Randall P. Johnson
Group P-24, Los Alamos National Laboratory, Mail Stop E526, Los Alamos, New Mexico 87545, USA

Received 4 June 2008; published 29 December 2008

Wederive expressions for shock formation based on the local curvatureof the flow characteristics during dynamic compression. Given a specificramp adiabat, calculated for instance from the equation of statefor a substance, the ideal nonlinear shape for an appliedramp loading history can be determined. We discuss the regionaffected by lateral release, which can be presented in compactform for the ideal loading history. Example calculations are givenfor representative metals and plastic ablators. Continuum dynamics (hydrocode) simulationswere in good agreement with the algebraic forms. Example applicationsare presented for several classes of laser-loading experiment, identifying conditionswhere shocks are desired but not formed, and where long-durationramps are desired.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.78.066115
DOI:	10.1103/PhysRevE.78.066115
PACS:	62.20.F-; 07.35.+k; 52.38.Mf; 62.50.-p 62.20.F- Deformation and plasticity of solids 07.35.+k High-pressure apparatus; shock tubes; diamond anvil cells 52.38.Mf Laser ablation 62.50.-p High-pressure effects in solids and liquids YEAR: 2008
KEYWORDS:	flow simulation, shock waves

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For example, C. A. Hall, J. R. Asay, M. D. Knudson, W. A. Stygar, R. B. Spielman, T. D. Pointon, D. B. Reisman, A. Toor, and R. C. Cauble, Rev. Sci. Instrum. 72, 3587 (2001).
D. C. Swift and R. P. Johnson, Phys. Rev. E 71, 066401 (2005).
D. C. Swift, T. E. Tierney IV, R. A. Kopp, and J. T. Gammel, Phys. Rev. E 69, 036406 (2004).
D. C. Swift, J. Appl. Phys. 104, 073536 (2008).
J. P. Davis, C. Deeney, M. D. Knudson, R. W. Lemke, T. P. Pointon, and D. E. Bliss, Phys. Plasmas 12, 056310 (2005).
D. C. Swift, C. A. Forest, D. A. Clark, W. T. Buttler, M. Marr-Lyon, and P. Rightley, Rev. Sci. Instrum. 78, 063904 (2007).
J. R. Asay, J. Appl. Phys. 46, 197 (1975).
D. C. Swift and R. G. Kraus, Phys. Rev. E 77, 066402 (2008).
D. B. Hayes, C. A. Hall, J. R. Asay, and M. D. Knudson, J. Appl. Phys. 96, 5520 (2004).
J. D. Colvin, B. W. Reed, A. F. Jankowski, M. Kumar, D. L. Paisley, D. C. Swift, T. E. Tierney, and A. M. Frank, J. Appl. Phys. 101, 084906 (2007).
D. L. Paisley, S.-N. Luo, S. R. Greenfield, and A. C. Koskelo, Rev. Sci. Instrum. 79, 023902 (2008).
D. C. Swift, J. G. Niemczura, D. L. Paisley, R. P. Johnson, S.-N. Luo, and T. E. Tierney, Rev. Sci. Instrum. 76, 093907 (2005).