Relaxation Mode of Macroscopic Plastic Deformation in Metals

The relaxation of elastic energy during macroscopic plastic deformation in a rigorous formulation is determined by solutions of the system of nonlinear equations of mechanics of a deformable solid. Using methods of the nonlinear systems theory, a nonlinear parabolic equation is obtained for the amplitude of the unstable mode which describes the plastic deformation at large spatial and time scales.

This is a preview of subscription content, access via your institution.

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.


  1. 1.

    D. Kuhlmann-Wilsdorf, in: Dislocations in Solids, F. R. N. Nabarro and M. S. Duesbery, eds., Elsevier, Amsterdam (2002), pp. 213–238.

    Google Scholar 

  2. 2.

    L. B. Zuev, Phys. Wave Phenom., 20, No. 3, 166–173 (2012).

    ADS  Article  Google Scholar 

  3. 3.

    L. B. Zuev and S. A. Barannikova, Zh. Tekh. Fiz., 90, No. 5, 773–781 (2020).

    Google Scholar 

  4. 4.

    G. A. Malygin, Usp. Fiz. Nauk, 169, No. 9, 979–1010 (1999).

    Article  Google Scholar 

  5. 5.

    E. S. Emelyanova, V. A. Romanova, R. R. Balokhonov, and M. V. Sergeev, Russ. Phys. J., 62, No. 9, 1539–1551 (2019).

    Article  Google Scholar 

  6. 6.

    M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys., 65, 854–1112 (1993).

    ADS  Article  Google Scholar 

  7. 7.

    I. S. Aranson, Rev. Mod. Phys., 74, 99–143 (2002).

    ADS  Article  Google Scholar 

  8. 8.

    P. S. Hohenberg and A. P. Krekhov, Phys. Rep., 572, 1–42 (2015).

    ADS  MathSciNet  Article  Google Scholar 

Download references

Author information



Corresponding author

Correspondence to Yu. A. Khon.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 86–88, September, 2020.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Khon, Y.A., Zuev, L.B. Relaxation Mode of Macroscopic Plastic Deformation in Metals. Russ Phys J 63, 1545–1547 (2021).

Download citation


  • plasticity
  • elastic energy
  • relaxation
  • relaxation mode
  • traveling front