Skip to main content
Log in

Combined method for the numerical solution of dynamic three-dimensional elastoplastic problems

  • Mathematical Physics
  • Published:
Doklady Mathematics 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. A. G. Kulikovskii, N. V. Pogorelov, and A. Yu. Semenov, Mathematical Aspects of Numerical Solution of Hyperbolic Systems (Fizmatlit, Moscow, 2001; Chapman and Hall/CRC, London, 2001).

    MATH  Google Scholar 

  2. A. S. Kholodov, in Encyclopedia of Low-Temperature Plasmas, Ser. B (Yanus-K, Moscow, 2008), Vol. VII-1, Part 2, pp. 91–103 [in Russian].

    Google Scholar 

  3. I. B. Petrov and A. S. Kholodov, USSR Comput. Math. Math. Phys. 24(3), 61–73 (1984).

    Article  MATH  Google Scholar 

  4. V. I. Kondaurov, I. B. Petrov, and A. S. Kholodov, Prikl. Mekh. Tekh. Fiz., No. 4, 132–139 (1984).

    Google Scholar 

  5. V. D. Ivanov, V. I. Kondaurov, I. B. Petrov, and A. S. Kholodov, Mat. Model. 2(11), 11–29 (1990).

    MathSciNet  Google Scholar 

  6. N. G. Matyushev and I. B. Petrov, Comput. Math. Math. Phys. 49(9), 1615–1621 (2009).

    Article  MathSciNet  Google Scholar 

  7. L. D. Libersky and A. G. Petschek, in Proceedings of the Next Free Language Conference (New York, 1991), pp. 248–257.

    Google Scholar 

  8. S. A. Medin and A. N. Parshikov, High Temp. 48(6), 926–933 (2010).

    Article  Google Scholar 

  9. J. J. Monaghan, Comput. Phys. Commun. 48, 89–96 (1988).

    Article  MATH  Google Scholar 

  10. A. V. Vasyukov, A. S. Ermakov, A. P. Potapov, I. B. Petrov, I. V. Favorskaya, and A. V. Shevtsov, Comput. Math. Math. Phys. 54(7), 1176–1189 (2014).

    Article  MathSciNet  Google Scholar 

  11. A. P. Potapov, S. I. Roiz, and I. B. Petrov, Mat. Model. 21(7), 20–28 (2009).

    MATH  Google Scholar 

  12. W. Nowacki, Teoria Sprezystosci (Panstwowe Wydawnictwo Naukowe, Warsaw, 1970; Mir, Moscow, 1975).

    Google Scholar 

  13. W. Nowacki, Wave Problems in Plasticity (Mir, Moscow, 1978) [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. B. Petrov.

Additional information

Original Russian Text © I.B. Petrov, A.V. Favorskaya, A.V. Shevtsov, A.V. Vasyukov, A.P. Potapov, A.S. Ermakov, 2015, published in Doklady Akademii Nauk, 2015, Vol. 460, No. 4, pp. 389–391.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Petrov, I.B., Favorskaya, A.V., Shevtsov, A.V. et al. Combined method for the numerical solution of dynamic three-dimensional elastoplastic problems. Dokl. Math. 91, 111–113 (2015). https://doi.org/10.1134/S1064562415010202

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562415010202

Keywords

Navigation