Soviet Applied Mechanics

, Volume 25, Issue 5, pp 427–435 | Cite as

Determining relations of the theory of elastoplastic processes

  • V. G. Zubchaninov
Article

Keywords

Elastoplastic Process 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    R. A. Vasin, “Relation between stress and deformation with complex loading,” Uprug. Neuprug., No. 1, 59–126 (1971).Google Scholar
  2. 2.
    R. A. Vasin and A. A. Il'yushin, “Representation of the elasticity and plasticity laws in plane problems,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 4, 114–118 (1983).Google Scholar
  3. 3.
    R. A. Vasin and R. N. Shirov, “Vector and scalar properties of metals in complex-loading experiments,” in: Strength of Materials and Structural Elements with a Complex Stress State [in Russian], Naukova Dumka, Kiev (1986), pp. 57–61.Google Scholar
  4. 4.
    A. S. Vavakin, R. A. Vasin, V. V. Viktorov, and A. P. Stepanov, Experimental Investigation of the Elastoplastic Deformation of Steel in Complex Loading along Three-Dimensional Curvilinear Deformation Trajectories [in Russian], Paper No. 7298-V86 Deposited at VINITI, Moscow (1986).Google Scholar
  5. 5.
    Dao Zui Bik, “Hypothesis of local definition in plasticity theory,” Vestn. Mosk. Univ., Mat. Mekh., No. 2, 67–75 (1965).Google Scholar
  6. 6.
    Dao Zui Bik, “Modification of the relations of elastoplastic processes of moderate curvature,” Vestn. Mosk. Univ., Mat. Mekh., No. 5, 103–106 (1981).Google Scholar
  7. 7.
    V. S. Zubchaninov, “Using general mathematical plasticity theory in stability theory,” in: Stability in the Mechanics of a Deformable Solid: Materials of an All-Union Symposium [in Russian], Kalinin. Univ., Kalinin (1982), pp. 100–117.Google Scholar
  8. 8.
    V. G. Zubchaninov, “Laws of elastoplastic processes in complex loading in plane problems,” in: Strength of Materials and Structural Elements in a Complex Stress State [in Russian], Naukova Dumka, Kiev (1986), pp. 110–117.Google Scholar
  9. 9.
    V. G. Zubchaninov and D. E. Ivanov, “Locally simple deformation processes,” in: Stability in the Mechanics of a Deformable Solid: Materials of the Second All-Union Symposium [in Russian], Kalinin. Univ., Kalinin (1987), pp. 6–11.Google Scholar
  10. 10.
    A. A. Il'yushin, “Relation between stresses and small deformations in the mechanics of continuous media,” Prikl. Mat. Mekh.,18, No. 6, 641–666 (1954).Google Scholar
  11. 11.
    A. A. Il'yushin, “General theory of plasticity,” Prikl. Mat. Mekh.,24, No. 3, 399–411 (1960).Google Scholar
  12. 12.
    A. A. Il'yushin, Plasticity. Fundamentals of a General Mathematical Theory [in Russian], Izd. Akad. Nauk SSSR, Moscow (1963).Google Scholar
  13. 13.
    A. A. Il'yushin, Continuum Mechanics [in Russian], Mosk. Univ., Moscow (1971).Google Scholar
  14. 14.
    A. A. Il'yushin, “Fundamentals of a general mathematical theory of plasticity,” in: Plasticity Theory [in Russian], Izd. Akad. Nauk SSSR, Moscow (1961), pp. 3–29.Google Scholar
  15. 15.
    A. A. Il'yushin, “Model underlying the SN-ÉVM method in plasticity theory,” Uprug. Neuprug., No. 1, 52–58 (1971).Google Scholar
  16. 16.
    V. S. Lenskii, “Hypothesis of local definition in plasticity theory,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, Mekh. Mashinostr., No. 5, 154–158 (1962).Google Scholar
  17. 17.
    V. S. Lenskii and É. V. Lenskii, “Three-term relation of general plasticity theory,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 4, 111–115 (1985).Google Scholar
  18. 18.
    V. S. Lenskii, “Experimental verification of the isotropy and delay laws in complex loading,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, Mekh. Mashinostr., No. 11, 15–23 (1958).Google Scholar
  19. 19.
    V. I. Malyi, “Simplifying the functionals of the theory of elastoplastic processes,” Prikl. Mekh.,14, No. 2, 48–53 (1978).Google Scholar
  20. 20.
    V. I. Malyi, “Similarity of vector properties of materials in elastoplastic processes,” Prikl. Mekh.,14, No. 3, 19–27 (1978).Google Scholar
  21. 21.
    A. V. Muravlev, “Some general properties of the stress-deformation relation in plasticity theory,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 6, 178–179 (1984).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • V. G. Zubchaninov

There are no affiliations available

Personalised recommendations