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Shock Viscosity and the Calculation of Steady Shock Wave Profiles

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Shock Waves in Condensed Matter

Abstract

A model is developed which incorporates experimental data on viscous-like behavior of solids during large amplitude compressive stress-wave propagation. Maximum strain rate in the plastic wave has been determined for wave profiles in eight materials obtained with velocity interferometry methods. A plot of strain rate versus Hugoniot stress for each material is described by \(\dot \eta = a{\sigma ^4}\). The model is capable of reproducing the experimental data for steady-wave profiles and correctly predicts the evolution of the waves as they approach steady state.

This work performed by Sandia National Laboratories supported by the U. S. Department of Energy under contract #DEAC04-76-DP00789.

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References

  1. W. Band, Studies in the Theory of Shock Propagation in Solids, J. Geophys. Res., 65:695 (1960).

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  2. W. Band and G. E. Duvall, Physical Nature of Shock Propagation, Amer. J. Phys., 29:780 (1961).

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  3. D. R. Bland, On Shock Structure in a Solid, J. Inst. Math. Applic.,l:56 (1964).

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  5. J. W. Swegle and D. E. Grady, Shock Viscosity and the Prediction of Shock Wave Risetimes, J. Appl. Phys., in press.

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  6. J. W. Swegle, TOODY IV - A Computer Program for Two-Dimensional Wave Propagation, Sandia National Laboratories Report, SAND78-0552 (1978), unpublished.

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Author information

Authors and Affiliations

  1. Computational Physics and Mechanics Division 1531 Thermomechanical and Physical Division 1534, Sandia National Laboratories, Albuquerque, NM, USA

    J. W. Swegle & D. E. Grady

Authors
  1. J. W. Swegle
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  2. D. E. Grady
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Editor information

Editors and Affiliations

  1. Washington State University, Pullman, Washington, USA

    Y. M. Gupta

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© 1986 Plenum Press, New York

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Swegle, J.W., Grady, D.E. (1986). Shock Viscosity and the Calculation of Steady Shock Wave Profiles. In: Gupta, Y.M. (eds) Shock Waves in Condensed Matter. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2207-8_48

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  • DOI: https://doi.org/10.1007/978-1-4613-2207-8_48

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9296-8

  • Online ISBN: 978-1-4613-2207-8

  • eBook Packages: Springer Book Archive

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