Skip to main content
SpringerLink
Log in

Dispersion of autowaves in a localized plastic flow

  • Solid State
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

The dispersion relation for localized plastic deformation autowaves emerging at the easy glide and strain-hardening stages in metals and alloys is established experimentally and analyzed. The quadratic form of this relation and the form of the wavenumber dependence of the phase and group velocities of autowaves are explained, as well as the quantitative interrelation between the characteristics of autowave processes of plastic flow localization and crystal lattice parameters of strained solids.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. B. Zuev, V. I. Danilov, and S. A. Barannikova, Physics of Macrolocalization of Plastic Flow (Nauka, Novosibirsk, 2008) [in Russian].

    Google Scholar 

  2. V. A. Vasil’ev, Yu. M. Romanovskii, and V. G. Yakhno, Autowave Processes (Nauka, Moscow, 1987) [in Russian].

    MATH  Google Scholar 

  3. L. B. Zuev, V. V. Gorbatenko, and S. N. Polyakov, Proc. SPIE 4900, 1197 (2002).

    Article  ADS  Google Scholar 

  4. R. J. McDonald, C. Efstathiou, and P. Curath, J. Eng. Mater. Technol. 131, 692 (2009).

    Article  Google Scholar 

  5. A. Asharia, A. Beaudoin, and R. Miller, Math. Mech. Solids 13, 292 (2008).

    Article  MathSciNet  Google Scholar 

  6. C. Fressengeas, A. Beaudoin, and D. Entemeyer, Phys. Rev. B 79, 014108 (2009).

    Article  ADS  Google Scholar 

  7. E. C. Aifantis, Int. J. Non-Linear Mech. 31, 797 (1996).

    Article  MATH  ADS  Google Scholar 

  8. S. A. Barannikova, Pis’ma Zh. Tekh. Fiz. 30(8), 75 (2004) [Tech. Phys. Lett. 30, 338 (2004)].

    Google Scholar 

  9. H. Kolski, Stress Waves in Solids (Clarendon, Oxford, 1953; Inostrannaya Literatura, Moscow, 1955).

    Google Scholar 

  10. A. M. Kosevich and A. S. Kovalev, Introduction to Nonlinear Physical Mechanics (Naukova Dumka, Kiev, 1989) [in Russian].

    MATH  Google Scholar 

  11. A. G. Knyazeva, Fiz. Mezomekh. 6, 11 (2003).

    Google Scholar 

  12. P. P. Kaminskii and Yu. A. Khon, Theor. Appl. Fract. Mech. 51, 161 (2009).

    Article  Google Scholar 

  13. H. Haken, Information and Self-Organization: A Macroscopic Approach to Complex Systems (Springer, Berlin, 1988; Mir, Moscow, 1991).

    MATH  Google Scholar 

  14. B. S. Kerner and V. V. Osipov, Usp. Fiz. Nauk 160, 2 (1990) [Sov. Phys. Usp. 33, 679 (1990)].

    Google Scholar 

  15. W. B. Pearson, Crystal Chemistry and Physics of Metals and Alloys (Wiley, New York, 1972; Mir, Moscow, 1977), Vol. 1.

    Google Scholar 

  16. O. Anderson, in Physical Acoustics, Vol. 3: Lattice Dynamics, Ed. by W. P. Mason (Academic, New York, 1965; Mir, Moscow, 1968), pp. 62–121.

    Google Scholar 

  17. N. W. Ashkroft and N. D. Mermin, Solid State Physics (Holt, Rinehart and Winston, New York, 1976; Mir, Moscow, 1979), Vol. 2.

    Google Scholar 

  18. V. V. Pustovalov, Fiz. Nizk. Temp. 34, 871 (2008) [Low Temp. Phys. 34, 683 (2008)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Strength Physics and Materials Science, Siberian Branch, Russian Academy of Sciences, Akademicheskii pr. 2/1, Tomsk, 634021, Russia

    L. B. Zuev, Yu. A. Khon & S. A. Barannikova

Authors
  1. L. B. Zuev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. A. Khon
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. A. Barannikova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to L. B. Zuev.

Additional information

Original Russian Text © L.B. Zuev, Yu.A. Khon, S.A. Barannikova, 2010, published in Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 80, No. 7, pp. 53–59.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zuev, L.B., Khon, Y.A. & Barannikova, S.A. Dispersion of autowaves in a localized plastic flow. Tech. Phys. 55, 965–971 (2010). https://doi.org/10.1134/S106378421007008X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S106378421007008X

Keywords

Search

Navigation