Advertisement

A model of an elastic-plastic medium with delayed yield

  • Yu. N. Rabotnov
Article

Abstract

Stress-strain relationships for metals at high strain rates have long been studied, but no really reliable and generally accepted theory has emerged. It is sometimes assumed that the dynamic stress-strain diagram is largely insensitive to the rate over a certain range. Another approach is to insert derivatives of the stress and strata with respect to time. One difficulty in establishing the actual reIationships is that experiment provides only indirect evidence (direct tests are usually impossible). Any real dynamic experiment tends to produce complicated effects, which can be interpreted only if the basic equations are taken as known. The best that experiment can then do is to confirm or reject some prior assumptions.

Many experimental studies deal with mechanical characteristics such as breaking strength and yield point as functions of strain rate; however, strain rate characterizes a range of conditions rather than defines a parameter. We therefore have to use simple models that allow formulation and solution of definite mechanical problems in relation to the dynamics of elastic-plastic media.

Keywords

Mathematical Modeling Experimental Study Mechanical Engineer Yield Point Simple Model 
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.
    A. H. Cottrell, “Effect of solute atoms on the behavior of dislocations,” Rep. of the Bristol Conference on Strength of Solids, Phys. Soc., London, 1948.Google Scholar
  2. 2.
    A. H. Cottrell and B. A. Bilby, “Dislocation theory of yielding and strain aging of iron,” Proc. Phys. Soc., London, Ser. A., vol. 62, p. 49–62, 1949.Google Scholar
  3. 3.
    J. C. Fisher, “Application of Cottrell's theory of yielding to delayed yield in steel,” Trans. Amer. Soc. Metals, vol. 47, p. 451–462, 1955.Google Scholar
  4. 4.
    J. Vigness, J. M. Krafft, and R. C. Smith, “Effect of loading history upon the yield strength of a plain carbon steel,” Confer. Properties of Materials at High Rates of Strain, Proc. Inst. Mech. Engrs., London, p. 138–146, 1957.Google Scholar
  5. 5.
    Yu. Ya. Voloshenko-Klimovitskii, The Dynamic Yield Point [in Russian], Nauka, Moscow, 1965.Google Scholar
  6. 6.
    Yu. Ya. Voloshenko-Klimovitskii, Yu. A. Belyaev, and A. F. Mel'shanov, “An apparatus for testing materials at high strain rates,” Zav. lab., no. 8, 1016–1019, 1967.Google Scholar
  7. 7.
    F. W. Warnock and D. B. C. Taylor, “Yield phenomena of a medium carbon steel under dynamic loading,” Proc. Inst. Mech. Engrs., vol. 161, p. 165–175, 1949.Google Scholar
  8. 8.
    T. Yokobori, “Delayed yield and strain rate and temperature dependence of yield point of iron,” J. Appl. Phys., vol. 25, no. 5, p. 593–594, 1954.Google Scholar
  9. 9.
    J. D. Campbell and J. Duby, “Delayed yield and other dynamic loading phenomena in a medium-carbon steel,” Proc. Confer. on the Properties, of Materials at High Rates of Strain, Inst. Mech. Engrs., London, p. 214–220, 1957.Google Scholar
  10. 10.
    Yu. V. Suvorova, “Delayed yield in steels (a survey of experiments),” PMTF [Journal of Applied Mechanics and Technical Physics], no. 3, 1968.Google Scholar
  11. 11.
    J. M. Kelly, “Strain rate sensitivity and yield point behavior in mild steel,” Internat. J. Solids and Structures, vol. 3, no. 4, p. 521–533, 1967.Google Scholar

Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • Yu. N. Rabotnov
    • 1
  1. 1.Moscow

Personalised recommendations