Skip to main content
Log in

Solid-state stress-induced phase transitions in a material with nanodimensional inhomogeneities: Model and computational experiment

  • Mechanics
  • Published:
Doklady Physics Aims and scope Submit manuscript

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.

References

  1. L. D. Landau and E. M. Lifshits, Theoretical Physics (Fizmatlit, Moscow, 2002), Vol. 1 [in Russian].

    Google Scholar 

  2. L. D. Landau and I. M. Khalatnikov, Dokl. Akad. Nauk SSSR 96(3), 469 (1954).

    MATH  Google Scholar 

  3. Yu. A. Izyumov and V. N. Syromyatnikov, Phase Transitions and Symmetry of Crystals (Nauka, Moscow, 1984) [in Russian].

    Google Scholar 

  4. P. Toledano and V. Dmitriev, Reconstructive Phase Transitions. New Jersey: World Sci. (1996).

    Google Scholar 

  5. Y. Wang and A. G. Khachaturyan, Acta Metal. Mater. 45, 759 (1997).

    Google Scholar 

  6. V. I. Kondaurov, Dokl. Akad. Nauk 396(2), 194 (2004).

    Google Scholar 

  7. V. I. Levitas and D. L. Preston, Phys. Rev. B: 66, 134207 (2002).

    Article  ADS  Google Scholar 

  8. V. I. Levitas, D. L. Preston, and D.-W. Lee, Phys. Rev. B: 68, 134201 (2003).

    Article  ADS  Google Scholar 

  9. V. I. Levitas, V. A. Levin, K. M. Zingerman, and E. I. Freiman, Phys. Rev. Lett. 103, 025702 (2009); republished in Virtual J. Nanoscale Sci. Technol. 20 (3), 2009.

    Article  ADS  Google Scholar 

  10. V. A. Levin, V. I. Levitas, V. V. Lokhin, and K. M. Zingerman, in Modern Problems of Mathematics and Mechanics (Mosk. Gos. Univ., Moscow, 2009), Vol. 2, pp. 49–57 [in Russian].

    Google Scholar 

  11. V. A. Levin, V. V. Kalinin, K. M. Zingerman, and A. V. Vershinin, Development of Defects during Finite Deformations. Computer and Physical Simulation (Fizmatlit, Moscow, 2007) [in Russian].

    Google Scholar 

  12. A. I. Lur’e, Nonlinear Elasticity Theory (Nauka, Moscow, 1980) [in Russian].

    MATH  Google Scholar 

  13. Ph. Boullay, D. Schryvers, and J. M. Ball, Acta Mater. 51, 1421 (2003).

    Article  Google Scholar 

  14. V. I. Kondaurov and V. E. Fortov, Foundations of Thermal Mechanics of the Condensed Medium (MFTI, Moscow, 2000) [in Russian].

    Google Scholar 

  15. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method. Vol. 2. Solid Mechanics (Butterworth-Heinemann, Oxford, 2000).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. A. Levin.

Additional information

Original Russian Text © V.A. Levin, V.I. Levitas, V.V. Lokhin, K.M. Zingerman, L.F. Sayakhova, E.I. Freiman, 2010, published in Doklady Akademii Nauk, 2010, Vol. 434, No. 4, pp. 481–485

Rights and permissions

Reprints and permissions

About this article

Cite this article

Levin, V.A., Levitas, V.I., Lokhin, V.V. et al. Solid-state stress-induced phase transitions in a material with nanodimensional inhomogeneities: Model and computational experiment. Dokl. Phys. 55, 507–511 (2010). https://doi.org/10.1134/S1028335810100083

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1028335810100083

Keywords

Navigation