Abstract
The effects of strain rate and strain-rate history on the strength of metals at high strains have been investigated in two series of tests at room temperature using the split Hopkinson-bar method to obtain shear strain rates up to 3000 s-1. In the first series, various materials were subjected to nearly constant low and high strain rates in torsion, and apparent rate sensitivities were determined by comparison of the flow stresses at a given strain. The flow stresses were found to increase with rate even at large shear strains (~0.5), the effect of adiabatic heating being relatively small. In the second series, strain-rate changes of about six orders of magnitude were rapidly imposed at shear strains up to 0.6. The results indicate that the flow stress depends on the strain-rate history, and may be greater or less than that obtained at the same strain and strain rate in a constant-rate test. The differences in the observed behavior of copper, titanium, and mild steel are discussed, and it is shown that the data for copper are consistent with a proposed form of constitutive relation involving a functional of the strain rate.
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References
Orowan, E., J. West Scot. Iron Steel Inst. ,54, 45 (1946-47).
Dorn, J. E., Goldberg, A., and Tietz, T. E., Metals Tech. A.I.M.M.E. ,T.P. 2445 (1948).
Tietz, T. E., and Dorn, J. E., Cold Working of Metals ,American Society for Metals, Cleveland, Ohio (1948), p. 163.
Vasiliev, L. I., Bulina, A. S., and Zagrebenikova, M. P., Dokl. Akad. Nauk S.S.S.R. ,90, 767 (1953).
Vasiliev, L. I., and Eremina, L. 1., Ibid. ,93, 1019 (1953).
Trozera, T. A., Sherby, O. D., and Dorn, J. E., Trans. A.S.M.E. ,49, 173 (1957).
Sylwestrowicz, W. D., Trans. Met. Soc. A.I.M.E ,212, 617 (1958).
Klepaczko, J., Archw. Mech. Stossow. ,19, 211 (1967).
Nicholas, T., Exp. Mech. ,11, 370 (1971).
Frantz, R. A., Jr., and Duffy, J., J. Appl. Mech. ,39, 939 (1972).
Klepaczko, J., and Duffy, J., Mechanical Properties at High Rates of Strain ,J. Harding (Ed.), Inst. of Physics, London (1974), p. 91.
Klepaczko, J., Mat. Sci. Eng. ,18, 121 (1975).
Valanis, K. C., Arch. Mech. ,23, 517 (1971).
Dillon, O. R., and Perzyna, P., Arch. Mech. ,24, 727 (1972).
Krempl, E., Acta Mech. ,22, 53 (1975).
Lindholm, U. S., and Yeakley, L. M., Exp. Mech. ,7, 1 (1967).
Cooper, R. H., and Campbell, J. D., J. Mech. Engng. Sci. ,9, 278 (1967).
Lindholm, U. S., Mechanical Behavior of Materials Under Dynamic Loads ,U. S. Lindholm (Ed.), Springer, New York (1968), p. 77.
Briggs, T. L., and Campbell, J. D., Acta Met. ,20, 711 (1972).
Campbell, J. D., and Briggs, T. L., J. Less-Common Metals ,40, 235 (1975).
Kolsky, H., Proc. Phys. Soc. ,62B, 676 (1949).
Baker, W. E., and Yew, C. H., J. Appl. Mech. ,33, 917 (1966).
Campbell, J. D., and Dowling, A. R., J. Mech. Phys. Solids ,18, 43 (1970).
Duffy, J., Campbell, J. D., and Hawley, R. H., J. Appl. Mech. ,38, 83 (1971).
Nicholas, T., and Lawson, J. E., J. Mech. Phys. Solids ,20, 57 (1972).
Stevenson, M. G., and Campbell, J. D., J. Strain Analysis ,10, 172 (1975).
Lewis, J. L., and Campbell, J. D., Exp. Mech. ,12, 520 (1970).
Tsao, M.C.C., and Campbell, J. D., Report No. 1055/73, Department of Engineering Science, University of Oxford (1973); also AFML-TR-73-177, Air Force Materials Laboratory, Wright-Patterson Air Force Base, Ohio (1973).
Clyens, S., M.Sc. Thesis, Department of Engineering Science, University of Oxford (1973).
Eleiche, A. M., and Campbell, J. D., Report No. 1106/74, Department of Engineering Science, University of Oxford (1974).
Stevenson, M. G., and Campbell, J. D., Report No. 1098/74, Department of Engineering Science, University of Oxford (1974).
Lawson, J. E., and Nicholas, T., J. Mech. Phys. Solids ,20, 65 (1972).
Kocks, U. F., Argon, A. S., and Ashby, M. F., Thermodynamics and Kinetics of Slip ,Pergamon Press, Oxford (1975), p. 257.
Malvern, L. E., J. Appl. Mech. ,18, 203 (1951).
Lindholm, U. S., J. Mech. Phys. Solids ,12, 317 (1964).
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© 1977 Plenum Press, New York
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Campbell, J.D., Eleiche, A.M., Tsao, M.C.C. (1977). Strength of Metals and Alloys at High Strains and Strain Rates. In: Jaffee, R.I., Wilcox, B.A. (eds) Fundamental Aspects of Structural Alloy Design. Battelle Institute Materials Science Colloquia, vol 31. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2421-8_19
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DOI: https://doi.org/10.1007/978-1-4684-2421-8_19
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