Skip to main content
Log in

On generalized kinematic hardening theory of plasticity

  • Published:
Ingenieur-Archiv Aims and scope Submit manuscript

Summary

An isotropic theory of plasticity is proposed in which expansion, rotation and translational movement of the yield surface are taken into account. The properties of the anisotropic parameters are investigated for some measured data. The incremental constitutive equation is then derived. The resulting constitutive equation is used to predict the shapes of subsequent yield surfaces.

Übersicht

Es wird eine anisotrope Plastizitätstheorie vorgeschlagen, die auf der kinematischen Verfestigung aufbaut, aber gleichzeitig die Dehnung, Verschiebung und Rotation der Fließfläche berücksichtigt. Die Eigenschaften der anisotropen Koeffizienten werden für einige experimentelle Ergebnisse untersucht. Dann wird die inkrementelle Stoffgleichung hergeleitet. Sie wird zur Bestimmung der folgenden Fließflächen angewendet.

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.

Similar content being viewed by others

References

  1. Michno, M. J., Findley, W. N.: An historical perspective of yield surface investigations for metals. Office of Naval Research, Tech. Report No. 17 (1972)

  2. Edelman, F., Drucker, D. C.: Some extensions of elementary plasticity theory. J. Franklin Inst. 251 (1951) p. 581

    Google Scholar 

  3. Yoshiranra, Y.: Hypothetical theory of anisotropy and the Bauschinger effect due to plastic strain history Aero. Res. Inst., Univ. Tokyo Report No. 349 (1959)

  4. Svensson, N. L.: Anisotropy and the Bauschinger effect in cold rolled aluminium. J. Mech. Engng. Sci. 8 (1966) p. 162

    Google Scholar 

  5. Williams, J. F., Svensson, N. L.: Effect of tensile prestrain on yield locus of 1100-F aluminium. J. Strain Anal. 5 (1970) p. 128

    Google Scholar 

  6. Green, A. E., Naghdi, P. M.: A general theory of an elastic-plastic continuum. Arch. Rat. Mech. Anal. 18 (1965) p. 251

    Google Scholar 

  7. Baltov, A., Sawczuk, A.: A rule anisotropic hardening. Acta Mech. 1 (1965) p. 81

    Google Scholar 

  8. Mroz, Z.: On the description of anisotropic hardening. J. Mech. Phys. Solids 15 (1967) p. 163

    Google Scholar 

  9. Prager, W.: The theory of plasticity — A survey of recent achievements (James Clayton Lecture). Proc. Inst. Mech. Engrs. 169 (1955) P. 41

    Google Scholar 

  10. Ziegler, H.: A modification of Prager's hardening rule. Quat. Appl. Math. 17 (1959) p. 55

    Google Scholar 

  11. Kadashevich, I., Novozhilov, V. V.: The theory of plasticity which takes into account residual microstresses. Appl. Math. Mech. 22 (1959) p. 104

    Google Scholar 

  12. Hamada, M., Tanaka, M.: A numerical method considering the Bauschinger effect for large deflection analysis of elastic-plastic circular plates. Bull. JSME 15, No. 87 (1972) p. 1029

    Google Scholar 

  13. Eisenberg, M. A., Phillips, A.: On nonlinear kinematic hardening. Acta Mech. 5 (1968) p. 1

    Google Scholar 

  14. Goel, R. P., Malvern, L. E.: Biaxial plastic simple waves with combined kinematic and Isotropic hardening Trans. ASME, Ser. E, J. Appl. Mech. 37, No. 4 (1970) p. 1100

    Google Scholar 

  15. Tanaka, M., Nakatani, T., Hamada, M.: A consideration of the stress-strain relations and the yield condition based on a combined isotropic and kinematic hardening (in Japanese). Trans. JSME 39, No. 325 (1973) p. 2639

    Google Scholar 

  16. Inoue, T., Tanaka, K., Aoki, M.: A theoretical investigation on the thermal ratcheting (in Japanese). J. Soc. Mat. Sci., Japan 22, No. 234 (1973) p. 224

    Google Scholar 

  17. Shiratori, E., Ikegami, K.: Experimentell study of the subsequent yield surface by uisng cross-shaped specimens. J. Mech. Phys. Solids 16 (1968) p. 373

    Google Scholar 

  18. Williams, J. E.: A rationally based yield criterion for workhardening materials. Ph. D. Thesis, Univ. Melbourne, 1969

  19. Shiratori, E., Ikegami, K., Kaneko, K.: The subsequent yield surface determined in consideration of the Bauschinger effect (in Japanese). Trans. JSME 39, No. 318 (1973) p. 458

    Google Scholar 

  20. Tanaka, M.: Large deflection analysis of elastic-plastic circular plates with combined isotropic and kinematic hardening. Ing.-Arch. 41 (1972) p. 342

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The authors wish to express their cordial thanks to Prof. Dr. M. Hamada, Prof. Dr. A. Shindo and Prof. Dr. K. Ikegami.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tanaka, M., Miyagawa, Y. On generalized kinematic hardening theory of plasticity. Ing. arch 44, 255–268 (1975). https://doi.org/10.1007/BF00534484

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00534484

Keywords

Navigation