Responses of Condensed Matter to Impact

  • John J. Gilman
Part of the Shock Wave and High Pressure Phenomena book series (SHOCKWAVE)

Abstract

The responses of liquids and solids to applied forces depend on time through the existence of viscosity. At sufficiently short times, liquids behave elastically, having insufficient time to flow. That is, they behave as if they were solid. Conversely, solids behave elastically at short times, but they flow at sufficiently long times, depending on how much force is applied to them. That is, they behave as if they were liquid. Between the two extremes lies plastic matter. Inside a plastic solid are small tubes (cores of dislocation lines) within which sliding can occur. This sliding is resisted by liquid-like viscosity and by fluctuating internal forces which cause energy dissipation.

Keywords

Entropy Fatigue Glycerin Total Heat Fluoride 

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References

  1. [1]
    J. W. Taylor and M.H. Rice, “Elastic-Plastic Properties of Iron,” J. Appl. Phys. 34, p. 364 (1963).ADSCrossRefGoogle Scholar
  2. [2]
    J.W. Taylor, “Dislocation Dynamics and Dynamic Yielding,” J. Appl. Phys. 36, p. 3146 (1965).ADSCrossRefGoogle Scholar
  3. [3]
    P.P. Gillis and J.J. Gilman, “Dynamical Dislocation Theory of Crystal Plasticity. I. The Yield Stress,” J. Appl. Phys. 36, p. 3370 (1965).ADSCrossRefGoogle Scholar
  4. [4]
    J.J. Gilman, “Dynamic Criteria for Crack Nucleation and Growth,” in Proc. First Internat. Conf. Frac., Vol. 2 (ed. T Yokobori) Tohoku University, Sendai Japan. p. 733 (1966).Google Scholar
  5. [5]
    P.P. Edwards, T.V. Ramakrishnan, and C.N.R. Rao, “Metal-Insulator Transitions: A Perspective,” in Metal-Insulator Transitions Revisited (eds. P.P. Edwards and C.N.R. Rao), Taylor & Francis, London, p. xv (1995).Google Scholar
  6. [6]
    J.J. Gilman, “Chenlical Reactions at Detonation Fronts in Solids,” Phil. Mag. B 71, p. 1057 (1995).Google Scholar
  7. [7]
    C. Zener, Elasticity and Anelasticity in Metals, Univ. Chicago Press, Chicago, (1948).Google Scholar
  8. [8]
    S.P. Timoshenko, History of the Strength of Materials, Dover Publications, New York, (1983).Google Scholar
  9. [9]
    T.E. Tietz and J.E. Dorn, “The Effect of Strain Histories on the Work Hardening of Metals,” in Cold Working of Metals, American Society for Metals, Cleveland, Ohio, p. 163, (1949)Google Scholar
  10. [10]
    J.H. Hollomon and L.D. Jaffe, Ferrous Metallurgical Design, J. Wiley & Sons, New York, (1947).Google Scholar
  11. [11] J.J. Gilman and W.G. Johnston, “Dislocations in Lithium Fluoride Crystals,” in Solid State Physics - Vol. 13 (ed. F. Seitz and W. Turnbull), Academic Press, New York, p. 147 (1962).Google Scholar
  12. [12]
    J.J. Gilman, “Mechanism of the Koehler Dislocation Multiplication Mechanism,” Phil. Mag. A 76, p, 329, (1997).ADSCrossRefGoogle Scholar
  13. [13]
    M.B. Bever, D.L. Holt, and A.L. Titchener, Progr. Mat. Sci. 17, p. 1, (1973).Google Scholar
  14. [14]
    G.H. Wannier, Statistical Physics, J. Wiley & Sons, New York, Chap. 22, (1966).MATHGoogle Scholar
  15. [15]
    H.S. Chen, J.J. Gilman, and A.H. Head, “Dislocation Multipoles and Their Role in Strain-Hardening,” J. Appl. Phys. 35, p. 2502, (1964).Google Scholar
  16. [16]
    G.I. Taylor, “The Testing of Materials at High Rates of Loading”—The James Forest Lecture, Jour. Institution of Civil Eng., #8, October 1945-46, p. 486.16, (1946).Google Scholar
  17. [l7]
    K.A. Rakhmatulin, “Propagation of a Wave of Unloading,” Appl. Math. & Mech 9, p. 91 (1945).MathSciNetMATHGoogle Scholar
  18. [18]
    T. von Karman and P. Duwez, “Propagation of Plastic Deformation in Solids,” J. Appl. Phys. 21, p. 987 (1950).MathSciNetADSMATHCrossRefGoogle Scholar
  19. [19]
    J.J. Gilman, “The Plastic Wave Myth,” in Shock Compression of Condensed Matter—1991 (ed., S.C. Schmidt, J.J. Dick, J.W. Forbes, and D.G. Tasker), Elsevier Science Publishers B.V., New York, p. 387 (1992).Google Scholar
  20. [20]
    P. Grassia, “Dissipation, Fluctuations, and Conservation Laws,” Amer. J. Phys. 69, p. 113 (2001).ADSCrossRefGoogle Scholar
  21. [21]
    M. Parrinello and A. Rahman, “Strain Fluctuations and Elastic Constants, J. Chem. Phys. 76, p. 2662 (1982).ADSCrossRefGoogle Scholar
  22. [22]
    M.C. Lea, “Disruption of the Silver Halide Molecule by Mechanical Force,” Phil. Mag. 34 (5th Series), p. 46 (1892).Google Scholar
  23. [23]
    J.J. Gilman, “Shear-induced Metallization,” Phil. Mag. B 67, p. 207, (1993).CrossRefGoogle Scholar
  24. [24] P.W. Bridgman, “Effects of High Shearing Stress Combined with High Hydrostatic Pressure,” Phys. Rev. 48, P. 825 (1935).ADSCrossRefGoogle Scholar
  25. [25]
    J.J. Gilman, “Shear-induced Chemical Reactivity,” in Metal-insulator Transition Revisited, (ed. P.P. Edwards and C.N.R. Rao), Taylor & Francis, London, p.269 (1995).Google Scholar
  26. [26]
    J.J. Gilman, “Mechanism of Shear-induced Metallization,” Czech J. Phys. 45, p. 913 (1995).ADSCrossRefGoogle Scholar
  27. [27]
    M.M. Kuklija and A.B. Kunz, “Electronic Structure of Molecular Crystals Containing Edge Dislocations,” J. Appl. Phys. 89, p. 4962 (2001).ADSCrossRefGoogle Scholar
  28. [28]
    L.M. Barker and R.E. Hollenbach, Rev. Sci. Instr. 36, p. 1617 (1965).ADSCrossRefGoogle Scholar
  29. [29]
    J.J. Gilman, “Plasmons at Shock Fronts,” Phil. Mag. B 79, p. 643 (1999).ADSGoogle Scholar
  30. [30]
    J.J. Gilman, “The Limiting Speeds of Dislocations,” Met. & Mat. Trans. A, 31A, p. 811 (2000).Google Scholar
  31. [31]
    P. Gumbsch and H. Gao, Science 283, p. 965 (1999).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2003

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  • John J. Gilman

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