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Strength of Materials

, Volume 27, Issue 9, pp 497–507 | Cite as

Deformation theory of plasticity for initially anisotropic media

  • V. V. Kosaruchuk
  • S. A. Mel'nikov
Scientific-Technical Section

Abstract

We propose a version of the deformation theory of plasticity for anisotropic media that allows us to consider the limiting strain (for example, in industrial processes involving pressure treatment of materials). The modified theory gives good agreement between the calculations and the experimental data not only with respect to the stress level but also with respect to the strains.

Keywords

Experimental Data Stress Level Industrial Process Anisotropic Medium Deformation Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    B. I. Koval'chuk, V. V. Kosarchuk, and A. A. Lebedev, “Investigation of the scalar and vector properties of anisotropic materials under conditions of a complex stress state. Communication 2. Plastic strains of anisotropic materials under simple loading,” Probl. Prochn., No. 8, 114–121 (1982).Google Scholar
  2. 2.
    B. I. Koval'chuk, A. A. Lebedev, and S. É. Umanskii, Mechanics of Inelastic Deformation of Materials and Structural Elements [in Russian], Naukova Dumka, Kiev (1987).Google Scholar
  3. 3.
    E. E. Kurchakov, “Tensor linear constitutive equations for a nonlinear anisotropic medium,” Prikl. Mekh.,12, No. 4, 65–68 (1976).Google Scholar
  4. 4.
    E. E. Kurchakov, “Investigation of the relation between strains and stresses for a nonlinear anisotropic medium,” Prikl. Mekh.,15, No. 9, 19–24 (1979).Google Scholar
  5. 5.
    A. S. Kravchuk, “Plasticity theory for anisotropic materials,” Raschety na Prochnost', No. 27, 21–29 (1986).Google Scholar
  6. 6.
    A. I. Chanyshev, “Plasticity of anisotropic media,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2, 149–151 (1984).Google Scholar
  7. 7.
    J. Ostrowska-Maciejewska and J. Rychlewski, “Plane elastic and limit states in anisotropic solids,” Arch. Mech.,40, No. 4, 379–386 (1988).Google Scholar
  8. 8.
    J. Rychlewski, Prikl. Matem. Mekh.,48, No. 3, 420–435 (1984).Google Scholar
  9. 9.
    A. A. Il'yushin, “Isomorphism of the elastoplastic properties of anisotropic bodies,” in: Abstracted Reports, Sixth All-Union Conference on Theoretical and Applied Mechanics [in Russian], FAN, Tashkent (1986), p. 312.Google Scholar
  10. 10.
    N. B. Alfutova. “Equivalency relation for the elastoplastic properties of anisotropic bodies,” Moscow (1987), Dep. in VINITI, No. 4159-V-87.Google Scholar
  11. 11.
    O. S. Sadakov, V. N. Madudin, and M. V. Apaichev, “A very simple version of deformation plasticity theory for anisotropic materials,” Chelyabinsk (1990), Dep. in VINITI, No. 3424-V90.Google Scholar
  12. 12.
    G. S. Pisarenko and A. A. Lebedev, Deformation and Strength of Materials for a Complex Stress State [in Russian], Naukova Dumka, Kiev (1976).Google Scholar
  13. 13.
    B. I. Koval'chuk, “Theory of plastic deformation of anisotropic materials,” Probl. Prochn., No. 9, 8–12 (1975).Google Scholar
  14. 14.
    V. P. Lamashevskii, A. A. Lebedev, and N. V. Novikov, “Investigation of the deformation and fracture of aluminum alloy for a complex stress state under low-temperature conditions,” Probl. Prochn., No. 6, 54–59 (1969).Google Scholar
  15. 15.
    B. E. Pobedrya, “Deformation theory of plasticity for anisotropic media,” Prikl. Matem. Mekh.,48, No. 1, 29–37 (1984).Google Scholar
  16. 16.
    B. E. Pobedrya, Mechanics of Composite Materials [in Russian], MGU, Moscow (1984).Google Scholar
  17. 17.
    M. I. Goikhman, “Characteristics of elastoplastic deformation of transversely isotropic bodies for simple loading processes,” Dissertation in competition for the academic degree of Candidate of the Technical Sciences, Institute of Mechanics, Academy of Sciences of the Ukrainian SSR (1990).Google Scholar
  18. 18.
    B. I. Koval'chuk, V. V. Kosarchuk, and A. A. Lebedev, “Plastic strains of initially anisotropic materials under simple and complex loading,” in: Strength, Plasticity, and Viscoelasticity of Materials and Constructions [in Russian], Sverdlovsk (1986), pp. 74–81.Google Scholar
  19. 19.
    U. F. Kocks and C. Tome, “Living with anisotropic plasticity: deformation mode maps, textures, polycrystal yield surfaces,” Abstracts, International Conference on Mech. Phys. and Struct. Mater. “Celebret. Aristotle's 23 Centuries,” Thessaloniki, August 19–24, 1990, Houghton, Michigan (1990), p. 11.Google Scholar
  20. 20.
    K.-H. Matucha and P. Wincierz, “Experimental determination of flow curves,” in: Mechanical Anisotropy [in German], Hrsg. Stuwe H. P., Vienna/New York (1974), Vol. VIII, pp. 201–229.Google Scholar
  21. 21.
    S. G. Lekhnitskii, Elasticity Theory for an Anisotropic Body [in Russian], Nauka, Moscow (1977).Google Scholar
  22. 22.
    H. Schiller, “Influence of the hydrostatic stress component on the yield stress,” Arch. Eisenhutenw.,53, No. 4, 369–372 (1982).Google Scholar
  23. 23.
    A. A. Il'yushin, Plasticity. Principles of the General Mathematical Theory [in Russian], Izdat. Akad. Nauk SSSR, Moscow (1963).Google Scholar
  24. 24.
    A. A. Lebedev, V. V. Kosarchuk, and B. I. Koval'chuk, “Investigation of scalar and vector properties of anisotropic materials under conditions of a complex stress state. Communication 1. Yield conditions for anisotropic materials,” Probl. Prochn., No. 3, 25–31 (1982).Google Scholar
  25. 25.
    V. V. Kosarchuk, B. I. Koval'chuk, and A. A. Lebedev, “Theory of plastic flow of anisotropic media. Communication 1. Constitutive relations,” Probl. Prochn., No. 4, 50–57 (1986).Google Scholar
  26. 26.
    F. Barlat, “Crystallographic texture, anisotropic yield surfaces and forming limits of sheet metals,” Mater. Sci. Eng.,91, 55–72 (1987).Google Scholar
  27. 27.
    J. Lian and J. Chen, “Isotropic polycrystal yield surfaces of b.c.c. and f.c.c. metals: crystallographic and continuum mechanics approaches,” Acta Met. Mater.,39, No. 10, 2285–2294 (1991).Google Scholar
  28. 28.
    V. V. Kosarchuk, “Elastoplastic deformation of anisotropic aluminum alloys in a complex stress state,” Dissertation in competition for the academic degree of Candidate of the Technical Sciences, Institute of Problems of Strength, Academy of Sciences of the Ukrainian SSR (1982).Google Scholar
  29. 29.
    B. I. Koval'chuk, “Loss of stability of plastic deformation in shells,” Probl. Prochn., No. 5, 11–16 (1983).Google Scholar
  30. 30.
    B. I. Koval'chuk, N. M. Kul'chitskii, and A. A. Lebedev, “Plasticity and strength of prestrained chromium steel in biaxial tension under low-temperature conditions,” Probl. Prochn., No. 10, 23–26 (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • V. V. Kosaruchuk
    • 1
  • S. A. Mel'nikov
    • 1
  1. 1.Institute of Problems of StrengthNational Academy of Sciences of UkraineKievUkraine

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