Advertisement

The Numerical Simulation of the Dynamic Compaction of Powders

  • David J. Benson
Part of the High-Pressure Shock Compression of Condensed Matter book series (SHOCKWAVE)

Abstract

An understanding of the dynamic compaction of powders on the micromechanical level is necessary for designing and optimizing the dynamic compaction process. The random particle packing in powders, the distribution of particle sizes, the nonlinear material response, and the large strains and vortices in the material behind the shock prevent a detailed analytical treatment on the micromechanical level. Finite element and finite difference methods provide a means of studying the interactions between the individual particles in detail during shock compression. Although the direct numerical simulation of the shock compaction of a powder remains a challenging area of research, substantial progress has been made during the last few years.

Keywords

Shock Front Equivalent Plastic Strain Copper Powder Mixture Theory Eulerian Formulation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    R.L. Williamson, J. Appl. Phys. 68, pp. 1287–1296, (1990).ADSCrossRefGoogle Scholar
  2. [2]
    S.L. Thompson, CSQ—A Two Dimensional Hydrodynamic Program with Energy Flow and Material Strength, Technical Report SAND74–0122, Sandia National Laboratories, Albuquerque, NM. (1975).Google Scholar
  3. [3]
    D.J. Benson and W.J. Nellis, Appl. Phys. Lett. 65, pp. 418–420 (1994).ADSCrossRefGoogle Scholar
  4. [4]
    D.J. Benson, Comput. Mech. 15, pp. 558–571 (1995).zbMATHCrossRefGoogle Scholar
  5. [5]
    D.J. Benson, Model Simul. Mater. Sci. Eng. 2, pp. 535–550 (1994).ADSCrossRefGoogle Scholar
  6. [6]
    D.J. Benson, V.F. Nesterenko, F. Jonsdottir, and M.A. Meyers, J. Mech. Phys. Solids, (in press).Google Scholar
  7. [7]
    D.J. Benson, W. Tong, and G. Ravichandran, Model. Simul. Mater. Sci. Eng., (in press).Google Scholar
  8. [8]
    D.J. Benson, Computer Methods Appl. Mech. Eng. 99, pp. 235–394 (1992).MathSciNetADSzbMATHCrossRefGoogle Scholar
  9. [9]
    A. Chorin, T.J.R. Hughes, M.F. McCracken, and J.E. Marsden, Commun. Pure Appl. Math. 31, pp. 205–256 (1978).MathSciNetzbMATHCrossRefGoogle Scholar
  10. [10]
    G. Maenchen and S. Sack, in Methods in Computational Physics 3, Academic Press, New York (1964).Google Scholar
  11. [11]
    M. Wilkins, in Methods in Computational Physics 3, Academic Press, New York, pp. 211–263 (1964).Google Scholar
  12. [12]
    R.D. Krieg and S.W. Key, in Constitutive Equations in Viscoplasticity: Computational and Engineering Aspects, AMD-Vol. 20, American Society of Mechanical Engineers, pp. 125–137 (1976).Google Scholar
  13. [13]
    B. Van Leer, J. Comp. Phys. 23, pp. 276–299 (1977).ADSCrossRefGoogle Scholar
  14. [14]
    D.J. Benson, Wave Motion, 21, pp. 85–99 (1995).zbMATHCrossRefGoogle Scholar
  15. [15]
    I.O. Angell and G. Griffith, High-Resolution Computer Graphics Using FORTRAN 77, MacMillan Education Ltd., London (1987).Google Scholar
  16. [16]
    J.M. McGlaun, personal communication (1994).Google Scholar
  17. [17]
    J.D. Walker and C.E. Anderson, in High-Pressure Science and Technology—1993 (eds. S.C. Schmidt, J.W. Shaner, G.A. Samara, and M. Ross), American Institute of Physics Press, New York, pp. 1773–1776 (1994).Google Scholar
  18. [18]
    S. Hancock, PISCES 2DELK Theoretical Manual, Technical Report, Physics International, San Leandro, CA (1985).Google Scholar
  19. [19]
    D.J. Benson, Computer Methods Appl. Mech. Eng. (in press).Google Scholar
  20. [20]
    D.L. Youngs, in Numerical Methods for Fluid Dynamics, (eds. K.W. Morton and M.J. Baines), Academic Press, New York, pp. 273–285 (1982).Google Scholar
  21. [21]
    N. Johnson, personal communication, (1990).Google Scholar
  22. [22]
    M.M. Carroll and A.C. Holt, J. Appl. Phys. 43, pp. 1626–1635 (1972).ADSCrossRefGoogle Scholar
  23. [23]
    M.M. Carroll and A.C. Holt, J. Appl. Phys. 43, pp. 759–761, (1972).ADSCrossRefGoogle Scholar
  24. [24]
    S.P. Marsh, LASL Shock Hugoniot Data, University of California Press, Berkeley (1980).Google Scholar
  25. [25]
    R.R. Boade, in Shock Waves and the Mechanical Properties of Solids, (eds. J.J. Burke and V. Weiss), Syracuse University Press, Syracuse, pp. 263–285 (1971).Google Scholar
  26. [26]
    D.J. Steinberg and M.W. Guinan, A High Strain Rate Constitutive Model for Metals, Technical Report UCRL-80465, Lawrence Livermore National Laboratory, Livermore, CA (1978).Google Scholar
  27. [27]
    D.J. Steinberg, J. Phys. IV, Colloque C3, suppl. Journal de Physique III, 1, pp. C3-837–C3-844 (1991).Google Scholar
  28. [28]
    A.J. Gratz, W.J. Nellis, J.M. Christie, W. Brocious, J. Swegle, and P. Cordier, Phys. Chem. Minerals, 19, pp. 267–288, (1992).ADSCrossRefGoogle Scholar
  29. [29]
    C.L. Seaman, S.T. Weir, E.A. Early, M.B. Maple, W.J. Nellis, P.C. Candless, and W. F. Brocious, Appl. Phys. Lett. 57, pp. 93–95 (1990).ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 1997

Authors and Affiliations

  • David J. Benson

There are no affiliations available

Personalised recommendations