Skip to main content
SpringerLink
Log in

Mathematical model of elastoplastic deformation of a mesovolume of material with a finite number of slip systems

  • Published:
Russian Physics Journal Aims and scope

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

References

  1. V. E. Panin, Yu. V. Grinyaev, V. I. Danilov, et al., Structural Levels of Plastic Deformation and Fracture [in Russian], Nauka, Novosibirsk (1990).

    Google Scholar 

  2. V. E. Panin (ed.), Physical Mesomechanics and Computer-Aided Structuring of Materials [in Russian], Vol. 1, Nauka, Novosibirsk (1995).

    Google Scholar 

  3. V. E. Panin (ed.), Physical Mesomechanics and Computer-Aided Structuring of Materials [in Russian], Vol. 2, Nauka, Novosibirsk (1995).

    Google Scholar 

  4. K. Washizu, Variational Methods in Elasticity and Plasticity, 3rd ed., Pergamon, New York—Oxford (1982).

    Google Scholar 

  5. D. Kolarov, A. Baltov, and N. Boncheva, Mechanics of Plastic Media [Russian translation], Mir, Moscow (1979).

    Google Scholar 

  6. Yu. N. Rabotnov, Mechanics of Deformable Solids [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  7. G. S. Pisarenko and N. S. Mozharovskii, Equations and Boundary-Value Problems in the Theory of Plasticity and Creep: Handbook [in Russian], Naukova Dumka, Kiev (1981).

    Google Scholar 

  8. N. K. Snitko, Zh. Tekh. Fiz.,18, No. 6, 863–874 (1948).

    Google Scholar 

  9. B. Batdorf and B. Budiansky, NASA Technical Note No. 1871 (1949).

  10. V. T. Koiter, Mekhanika, No. 2, 117–121 (1960).

  11. Y. Yoshimura, Bull. JSME,1, No. 2, 109–113 (1958).

    Google Scholar 

  12. I. D. Rogozin, in: Continuum Dynamics [in Russian], No. 4, Izd. Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1970), pp. 148–153.

    Google Scholar 

  13. T. H. Lin, Adv. Appl. Mech.,11, 255–311 (1971).

    Google Scholar 

  14. K. N. Rusinko, Theory of Plasticity and Transient Creep [in Russian], Vishcha Shkola, Lvov (1981).

    Google Scholar 

  15. A. K. Malmeister, Mekh. Polim., No. 4, 12 (1965).

  16. A. K. Malmeister, Elasticity and Anelasticity of Concrete [in Russian], Izd. Akad. Nauk Latv. SSR, Riga (1957).

    Google Scholar 

  17. A. A. Vakulenko, Itogi Nauki Tekh.,22, 3–54 (1991); Progress in Science and Technology: Mechanics of Deformable Solids [in Russian], Vol. 22, VINITI (1991), pp. 3–54.

  18. A. Nádai, Theory of Flow and Fracture of Solids, McGraw-Hill, New York (1963).

    Google Scholar 

  19. É. I. Grigolyuk and V. I. Shalashilin, Nonlinear Strain Problems: Method of Continuation of a Solution on a Parameter in Nonlinear Problems of the Mechanics of Deformable Solids [in Russian], Nauka, Moscow (1982).

    Google Scholar 

  20. W. Prager, Introduction to Mechanics of Continua, Ginn, Boston (1961); Dover, New York (1973).

    Google Scholar 

  21. M. L. Wilkins, in: Computational Methods in Fluid Dynamics [Russian translation], B. Older, S. Fernbach, and M. Rotenberg (eds.), Mir, Moscow (1967), pp. 212–263.

    Google Scholar 

  22. E. Schmid and W. Boas, Plasticity of Crystals with Special Reference to Metals, F. A. Hughes, London (1950).

    Google Scholar 

  23. V. F. Noh, in: Computational Methods in Fluid Dynamics [Russian translation], B. Older, S. Fernbach, and M. Rotenberg (eds.), Mir, Moscow (1967), pp. 128–184.

    Google Scholar 

  24. V. A. Koldunov et al., in: Thirteenth All-Union Conference on the Theory of Plates and Shells [in Russian], Part 3, Izd. TPU, Tallinn (1983), pp. 55–60.

    Google Scholar 

  25. I. S. Grigor'ev and E. Z. Meilikhov (eds.), Handbook of Physical Quantities [in Russian], Énergoatomizdat, Moscow (1991).

    Google Scholar 

Download references

Authors
  1. P. V. Makarov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. I. Cherepanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. N. Demidov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Physics of Strength and Materials Science, Siberian Branch of the Russian Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 26–57, November, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Makarov, P.V., Cherepanov, O.I. & Demidov, V.N. Mathematical model of elastoplastic deformation of a mesovolume of material with a finite number of slip systems. Russ Phys J 38, 1132–1156 (1995). https://doi.org/10.1007/BF00559395

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00559395

Keywords

Search

Navigation