Abstract
Copper with four widely differing grain sizes was subjected to high-strain-rate plastic deformation in a special experimental arrangement in which high shear strains of approximately 2 to 7 were generated. The adiabatic plastic deformation produced temperature rises in excess of 300 K, creating conditions favorable for dynamic recrystallization, with an attendant change in the mechanical response. Preshocking of the specimens to an amplitude of 50 GPa generated a high dislocation density; twinning was highly dependent on grain size, being profuse for the 117- and 315-μm grain-size specimens and virtually absent for the 9.5-μm grain-size specimens. This has a profound effect on the subsequent mechanical response of the specimens, with the smaller grain-size material undergoing considerably more hardening than the larger grain-size material. A rationale is proposed which leads to a prediction of the shock threshold stress for twinning as a function of grain size. The strain required for localization of plastic deformation was dependent on the combined grain size/shockinduced microstructure, with the large grain-size specimens localizing more readily. The experimental results obtained are rationalized in terms of dynamic recrystallization, and a constitutive equation is applied to the experimental results; it correctly predicts the earlier onset of localization for the large grain-size specimens. It is suggested that the grain-size dependence of shock response can significantly affect the performance of shaped charges.
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P. Feltham and J.D. Meakin:Phil. Mag., 1957, vol. 2, p. 105.
SX. Wang and L.E. Murr:Metallurgy, 1980, vol. 13, pp. 203–24.
F.J. Zerilli and R.W. Armstrong:J. Appl. Phys., 1987, vol. 61, pp. 1816–25.
A.S. Shume, Y.J. Chang, and M.N. Bassim:Mater. Sci. Eng., 1989, vol. A108, pp. 241–45.
W.H. Gourdin and D.H. Lassila:Acta Metall. Mater., 1991, vol. 39, pp. 2337–48.
W.H. Gourdin and D.H. Lassila:Mater. Sci. Eng., 1992, vol. A151, pp. 11–18.
A.H. Chokshi, A. Rosen, J. Karch, and H. Gleiter:Scripta Metall., 1989, vol. 23 (10), pp. 1679–84.
C.G. Schmidt, Robert D. Caligiuri, Jacques H. Giovanola, and David C. Erlich:Metall. Trans. A, 1991, vol. 22A, pp. 2349–57.
M.P. Bondar’ and V.F. Nesterenko:J. Phys. IV, 1991, vol. 1 (c3), pp. 163–70.
V.F. Nesterenko, M.P. Bondar’, and I.V. Ershov: inHigh-Pressure Science and Technology—1993, S.C. Schmitt, J.W. Shaner,G.A. Samara, and M. Ross, eds., AIP Press, New York, NY, 1994, pp. 173–76.
U.R. Andrade: Ph.D. Thesis, University of California, San Diego, CA, 1993.
U.R. Andrade, M.A. Meyers, A.H. Chokshi, and K.S. Vecchio:J. Phys. IV, 1994, vol. 4 (c8), pp. 361–66.
W.P. Walters and J.A. Zukas:Fundamentals of Shaped Charges, Wiley Interscience, New York, NY, 1989, p. 2.
M. Lichtenberger, M. Scharf, and A. Bohman: Report No. CO 218/81, French-German Research Institute, Saint-Louis, France, (ISL), Sept. 1981.
W.H. Gourdin: inShock-Wave and High-Strain-Rate Phenomena in Materials, M.A. Meyers, L.E. Murr, and K.P. Staudhammer, eds., Marcel Dekker, New York, NY, 1992, pp. 597–609.
W.H. Gourdin: inShock-Wave and High-Strain-Rate Phenomena in Materials, M.A. Meyers, L.E. Murr, and K.P. Staudhammer, eds., Marcel Dekker, New York, NY, 1992, pp. 611–16.
A.C. Gurevitch, L.E. Murr, W.W. Fisher, S.K. Varma, A.H. Advani, and L. Zernow:Mater. Charact., 1993, vol. 30, pp. 201–16.
M.A. Meyers, L.W. Meyer, J. Beatty, U.R. Andrade, K.S. Vecchio, and A.H. Chokshi: inShock-Wave and High-Strain-Rate Phenomena in Materials, M.A. Meyers, L.E. Murr, and K.P. Staudhammer, eds., Marcel Dekker, New York, NY, 1992, pp. 529–42.
A.H. Chokshi and M.A. Meyers:Scripta Metall. Mater., 1990, vol. 24, pp. 605–10.
U.R. Andrade, M.A. Meyers, K.S. Vecchio, and A.H. Chokshi:Acta Metall. Mater., 1994, vol. 42, pp. 3183–95.
R.E. Reed-Hill and R. Abbaschian:Physical Metallurgy Principles, PWS-Kent, Boston, 1992, pp. 250 and 259.
I.M. Ghauri, M.Z. Butt, and S.M. Raza:J. Mater. Sci., 1990, vol. 25, pp. 4782–84.
M.A. Mogilevsky and L.A. Teplyakova: inMetallurgical Applications of Shock-Wave and High-Strain Rate Phenomena, L.E. Murr, K.P. Staudhammer, and M.A. Meyers, eds., Marcel Dekker, 1986, pp. 419–27.
G.T. Gray III: inHigh Pressure Shock Compression of Solids,J.R. Asay and M. Shahinpoor, eds., Springer-Verlag, New York, NY, 1993, pp. 187–215.
P.S. DeCarli and M.A. Meyers: inShock-Wave and High-Strain-Rate Phenomena in Metals, M.A. Meyers and L.E. Murr, eds., Plenum Press, New York, NY, 1981, pp. 341–73.
K.-H. Hartmann, H.-D. Kunze, and L.W. Meyer: inShock Waves and High-Strain-Rate Phenomena in Metals, M.A. Meyers and L.E. Murr, eds., Plenum Press New York, NY, 1981, pp. 325–37.
L.W. Meyer and S. Manwaring: inMetallurgical Applications of Shock-Wave and High-Strain-Rate Phenomena, L.E. Murr,K.P. Staudhammer, M.A. Meyers, eds., Marcel Dekker, New York, NY, 1986, pp. 657–74.
H. Kolsky:Proc. R. Soc. B, 1949, vol. 62, pp. 676–700.
S. Nemat-Nasser, J.B. Isaacs, and J.E. Starrett:Proc. R. Soc. London A, 1991, vol. 435, pp. 371–91.
S. Nemat-Nasser, J.B. Isaacs, G. Ravichandran, and J.E. Starrett:Proc. of TTCP Workshop on New Techniques of Small Scale High Strain Rate Studies, Australia, 1989, p. 343.
J.R. Klepaczko:J. Phys., 1988 vol. 49 (c3), pp. 553–60.
P.S. Follansbee and U.F. Kocks:Acta Metall., 1988, vol. 36, pp. 81–93.
W. Tong, R.J. Clifton, and S. Huang:J. Meck Phys. Solids, 1992, vol. 40, pp. 1251–94.
E.O. Hall:Proc. R. Soc., 1951, vol. B64, pp. 742–53.
N.J. Petch:J. Iron Steel Inst., 1953, vol. 174, pp. 25–28.
J.J. Gracio, J.V. Fernandes, and J.H. Schmitt:Mater. Sci. Eng., 1989, vol. Al18, pp. 97–105.
G.T. Gray III and P.S. Follansbee: inImpact Loading and Dynamic Behavior of Materials, C.Y. Chiem, H.D. Kunze, and L.W. Meyer, eds., Informationsgellsshaft, Verlag, Germany 1988, p. 541–548.
Marc A. Meyers and R. Norman Orava:Metall. Trans. A, 1976, vol. 7A, pp. 179–90.
R.G. McQueen and S.P. Marsh:J. Appl. Phys., 1960, vol. 31, p. 253.
F. Haessner and K. Sztwiertnia:Scripta Metall., 1992, vol. 27, pp. 1545–50.
H.J. Kestenbach and Marc A. Meyers:Metall. Trans. A, 1976, vol. 7A, pp. 1943–50.
K. Wongwiwat and L.E. Murr:Mater. Sci. Eng., 1978, vol. 35, pp. 273–85.
S. Mahajan and D.E. Williams:Int. Metall. Rev., 1973, vol. 18, pp. 43–61.
G.T. Gray III: inEncyclopedia of Material Science and Engineering, Pergamon Press, Oxford, United Kingdom, 1990, suppl., vol. 2, pp. 859–66.
J.W. Christian and S. Mahajan: inProgress in Materials Science, 1995, in press.
M.J. Marcinkowski and H.A. Lipsitt:Acta Metall., 1962, vol. 10, p. 95.
W.S. Owen and D. Hull: inRefractory Metals and Alloys II, M. Semdryshen and I. Perlmutter, eds., Interscience, New York, NY, 1963, p. 1.
R.W. Armstrong and F.J. Zerilli:J. Phys., 1988, vol. 49 (c3), pp. 529–34.
S. Mahajan and G.Y. Chin:Acta Metall., 1973, vol. 21, pp. 1353–63.
R.W. Armstrong and P.J. Worthington: inMetallurgical Effects at High Strain Rates, R.W. Rohde, B.M. Butcher, J.R. Holland, and C.H. Arnes, eds., Plenum Press, New York, NY, 1973, pp. 401–14.
M.A. Meyers and L.E. Murr: inShock Waves and High-Strain Rate Phenomena in Metals, M.A. Meyers and L.E. Murr, eds., Plenum Press, New York, NY, 1981, pp. 487–530.
M.A. Meyers and V.F. Nesterenko: in preparation (1995).
R.W. Armstrong: inDeformation Twinning, R.E. Reed-Hill, J.P. Hirth, and H.C. Rogers, eds., Gordon and Breach Science Publications, New York, NY, 1964, p. 356.
L.E. Murr: inShock Waves and High-Strain-Rate Phenomena in Metals, M.A. Meyers and L.E. Murr, eds., Plenum Press, New York, NY, 1981, pp. 607–673.
R.F. Recht:J. Appl. Mech., 1964, vol. 31, pp. 189–93.
R.S. Culver: inMetallurgical Effects at High Strain Rates, R.W. Rohde, B.M. Butcher, J.R. Holland, and C.H. Karnes, eds., Plenum Press, New York, NY, 1973, pp. 519–30.
G.R. Johnson and W.H. Cook: inProc. 7th Int. Symp. on Ballistics, The Hague, The Netherlands, 1983, pp. 541–47.
L.E. Murr and D. Kuhlmann-Wilsdorf:Acta Metall., 1978, vol. 26, pp. 847–57.
B. Derby:Acta Metall. Mater., 1991, vol. 39, pp. 955–62.
N.Y. Tang, P. Niessen, R.J. Pick, and M.J. Worswick:Mater. Sci. Eng., 1991, vol. A131, pp. 153–60.
V.F. Nesterenko and M.P. Bondar:DYMATJ., 1994, vol. 1, pp. 245–51.
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Formerly with the Department of Applied Mechanics and Engineering Sciences, University of California.
Formerly with the Department of Applied Mechanics and Engineering Sciences.
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Meyers, M.A., Andrade, U.R. & Chokshi, A.H. The effect of grain size on the high-strain, high-strain-rate behavior of copper. Metall Mater Trans A 26, 2881–2893 (1995). https://doi.org/10.1007/BF02669646
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DOI: https://doi.org/10.1007/BF02669646