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Relaxation mechanism of plastic deformation and its justification using the example of the sharp yield point phenomenon in whiskers

Physics of the Solid State volume 57, pages 353–359 (2015)Cite this article

Abstract

The generality of the dynamic approach to a wide range of problems of the continuum mechanics, including deformation at the rates determining quasi-static deformation conditions has been demonstrated using the example of deformation of cadmium and copper whiskers. The sharp yield point phenomenon has been analyzed in terms of the theory of dislocations and phenomenological integrated criteria of plasticity. It has been shown that the characteristic relaxation times used in these criteria, regardless of the applied model of plasticity, reflect essential properties of the very deformation process itself.

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References

  1. M. A. Meyers and K. K. Chawla, Mechanical Behavior of Materials (Cambridge University Press, New York, 2009).

    MATH  Google Scholar 

  2. V. S. Krasnikov, A. E. Mayer, and A. P. Yalovets, Int. J. Plast. 27, 1294 (2011).

    Article  MATH  Google Scholar 

  3. G. V. Berezhkova, Whiskers (Nauka, Moscow, 1969) [in Russian].

    Google Scholar 

  4. J. R. Greer and J. Th. M. De Hosson, Prog. Mater. Sci. 56, 654 (2001).

    Article  Google Scholar 

  5. B. V. Petukhov, Tech. Phys. 46(11), 1389 (2001).

    Article  Google Scholar 

  6. E. N. Borodin and A. E. Mayer, Mater. Sci. Eng., A 532, 245 (2012).

    Article  Google Scholar 

  7. E. N. Borodin, A. E. Mayer, Yu. V. Petrov, and A. A. Gruzdkov, Phys. Solid State 56(12), 2470 (2014).

    Article  ADS  Google Scholar 

  8. A. E. Mayer, K. V. Khishchenko, P. R. Levashov, and P. N. Mayer, J. Appl. Phys. 113, 193508 (2013).

    Article  ADS  Google Scholar 

  9. A. E. Dudorov and A. E. Maier, Vestn. Chelyab. Gos. Univ., No. 39 (254), 48 (2011).

    Google Scholar 

  10. G. A. Malygin, Phys.—Usp. 42(9), 887 (1999).

    Article  ADS  Google Scholar 

  11. D. McLean, Mechanical Properties of Metals (Wiley, New York, 1962; Metallurgiya, Moscow, 1965).

    Google Scholar 

  12. Handbook of Physical Quantities, Ed. by I. S. Grigoriev and E. Z. Melikhov (Energoatomizdat, Moscow, 1991; CRC Press, Boca Raton, Florida, United States, 1997).

    Google Scholar 

  13. S. S. Brenner, J. Appl. Phys. 28, 1023 (1957).

    Article  ADS  Google Scholar 

  14. R. V. Coleman, P. B. Price, and N. Cabrera, J. Appl. Phys. 28, 1360 (1957).

    ADS  Google Scholar 

  15. A. A. Gruzdkov and Yu. V. Petrov, Dokl. Phys. 44(2), 114 (1999).

    ADS  Google Scholar 

  16. A. A. Gruzdkov, Yu. V. Petrov, and V. I. Smirnov, Phys. Solid State 44(1), 62 (2002).

    Google Scholar 

  17. A. A. Gruzdkov, E. V. Sitnikova, N. F. Morozov, and Y. V. Petrov, Math. Mech. Solids 14, 72 (2009).

    Article  MATH  MathSciNet  Google Scholar 

  18. M. M. Hutchison, J. Iron Steel Inst. 186, 431 (1957).

    Google Scholar 

Download references

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Authors and Affiliations

  1. Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Bolshoi pr. 61, St. Petersburg, 199178, Russia

    Yu. V. Petrov & E. N. Borodin

  2. Saint Petersburg State University, Universitetskaya nab. 7/9, St. Petersburg, 199034, Russia

    Yu. V. Petrov

  3. Chelyabinsk State University, ul. Brat’ev Kashirinykh 129, Chelyabinsk, 454001, Russia

    E. N. Borodin

Authors
  1. Yu. V. Petrov
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  2. E. N. Borodin
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Correspondence to E. N. Borodin.

Additional information

Original Russian Text © Yu.V. Petrov, E.N. Borodin, 2015, published in Fizika Tverdogo Tela, 2015, Vol. 57, No. 2, pp. 336–341.

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Petrov, Y.V., Borodin, E.N. Relaxation mechanism of plastic deformation and its justification using the example of the sharp yield point phenomenon in whiskers. Phys. Solid State 57, 353–359 (2015). https://doi.org/10.1134/S1063783415020286

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  • DOI: https://doi.org/10.1134/S1063783415020286

Keywords

  • Dislocation Density
  • Relaxation Mechanism
  • Characteristic Relaxation Time
  • Plastic Relaxation
  • Initial Dislocation Density