High-Pressure Shock Compression of Solids VI pp 279-296 | Cite as

# Responses of Condensed Matter to Impact

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## 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

Plastic Deformation Longitudinal Wave Shear Strain Shock Front Uniaxial Compression## Preview

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## References

- [1]J. W. Taylor and M.H. Rice, “Elastic-Plastic Properties of Iron,”
*J. Appl. Phys.***34**, p. 364 (1963).ADSCrossRefGoogle Scholar - [2]J.W. Taylor, “Dislocation Dynamics and Dynamic Yielding,”
*J. Appl. Phys.***36**, p. 3146 (1965).ADSCrossRefGoogle Scholar - [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]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]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]J.J. Gilman, “Chenlical Reactions at Detonation Fronts in Solids,”
*Phil. Mag. B***71**, p. 1057 (1995).Google Scholar - [7]C. Zener,
*Elasticity and Anelasticity in Metals*, Univ. Chicago Press, Chicago, (1948).Google Scholar - [8]S.P. Timoshenko,
*History of the Strength of Materials,*Dover Publications, New York, (1983).Google Scholar - [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]J.H. Hollomon and L.D. Jaffe,
*Ferrous Metallurgical Design,*J. Wiley & Sons, New York, (1947).Google Scholar - [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]J.J. Gilman, “Mechanism of the Koehler Dislocation Multiplication Mechanism,”
*Phil. Mag. A***76**, p, 329, (1997).ADSCrossRefGoogle Scholar - [13]
- [14]G.H. Wannier,
*Statistical Physics,*J. Wiley & Sons, New York, Chap. 22, (1966).zbMATHGoogle Scholar - [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]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 - [l7]K.A. Rakhmatulin, “Propagation of a Wave of Unloading,”
*Appl. Math. & Mech***9**, p. 91 (1945).MathSciNetzbMATHGoogle Scholar - [18]T. von Karman and P. Duwez, “Propagation of Plastic Deformation in Solids,”
*J. Appl. Phys.***21**, p. 987 (1950).MathSciNetADSzbMATHCrossRefGoogle Scholar - [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]P. Grassia, “Dissipation, Fluctuations, and Conservation Laws,”
*Amer. J. Phys.***69**, p. 113 (2001).ADSCrossRefGoogle Scholar - [21]M. Parrinello and A. Rahman, “Strain Fluctuations and Elastic Constants,
*J. Chem. Phys.*76, p. 2662 (1982).ADSCrossRefGoogle Scholar - [22]M.C. Lea, “Disruption of the Silver Halide Molecule by Mechanical Force,”
*Phil. Mag.***34**(5th Series), p. 46 (1892).Google Scholar - [23]
- [24] P.W. Bridgman, “Effects of High Shearing Stress Combined with High Hydrostatic Pressure,”
*Phys. Rev.***48**, P. 825 (1935).ADSCrossRefGoogle Scholar - [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]J.J. Gilman, “Mechanism of Shear-induced Metallization,”
*Czech J. Phys.***45**, p. 913 (1995).ADSCrossRefGoogle Scholar - [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]
- [29]
- [30]J.J. Gilman, “The Limiting Speeds of Dislocations,”
*Met. & Mat. Trans. A,***31A**, p. 811 (2000).Google Scholar - [31]