Skip to main content
Log in

Dispersion Relations for the Linearized Elastic Diffusion Problem

  • Published:
Russian Physics Journal Aims and scope

The paper presents a model of the initial stage of material surface treatment by particle flow under isothermal conditions. The model takes into account the mass flow relaxation time to equilibrium state. Two variants of the elastic diffusion problem linearization are analyzed. Dispersion relations are obtained. The influence of the nonlinear effect related to the diffusion coefficient dependence on the composition is investigated. It is shown that nonlinearity leads to a change in the region of existence of stable solutions.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. B. Babenkov, J. Adv. Manuf. Technol., 52, No. 6, 941–949 (2011); DOI https://doi.org/10.1134/S0021894411060125.

    Article  Google Scholar 

  2. E. Y. Vitokhin AND M. B. Babenkov, J. Adv. Manuf. Technol., 57, No. 3, 537–549 (2016); DOI: https://doi.org/10.1134/S0021894416030184.

  3. A. M. Krivtsov, M. B. Babenkov, and D. V. Tsvetkov, Phys. Mesomech., 23, No. 2, 109–119 (2020); DOI: https://doi.org/10.1134/S1029959920020022.

    Article  Google Scholar 

  4. N. A. Zverev, A. V. Zemskov, and D. V. Tarlakovskii, Problems of Strength and Ductility, 82, No. 2, 156–167 (2020); DOI: https://doi.org/10.32326/1814-9146-2020-82-2-156-167.

  5. D. A. Indeitsev and Yu. A. Mochalova, Scholarly Notes of Komsomolsk-na-Amure State Technical University, 1, No. 3(35), 86–100 (2018).

    Google Scholar 

  6. M. V. Chepak-Gizbrekht, Russ. Phys. J., 62, No. 9, 1558–1664 (2019); DOI: https://doi.org/10.17223/00213411/62/9/20.

    Article  Google Scholar 

  7. V. I. Erofeev, A. V. Leonteva, and A. V. Shekoyan, J. Comp. Mech. Des., 25, No. 4, 492–508 (2019); DOI: https://doi.org/10.33113/MKMK.RAS.2019.25.04.492_508.03

    Article  Google Scholar 

  8. E. S. Ilina, V. N. Demidov, and A. G. Knyazeva, PNPU Mech. Bull., No. 3, 25–49 (2012).

  9. H. H. Sherief, F. A. Hamza, and H. A. Saleh, Int. J. Eng. Sci., 42, 591–608 (2004); https://doi.org/10.1016/j.ijengsci.2003.05.001.

  10. A. G. Knyazeva and E. S. Parfenova, J. Adv. Manuf. Technol., 62, No. 4, 633–641 (2021); DOI: https://doi.org/10.1134/S002189442104012X.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. S. Parfenova.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Parfenova, E.S. Dispersion Relations for the Linearized Elastic Diffusion Problem. Russ Phys J 65, 2023–2029 (2023). https://doi.org/10.1007/s11182-023-02865-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-023-02865-9

Keywords

Navigation