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Dislocation theories of work hardening and yield surfaces of single crystals

Versetzungstheorien für Arbeitsverfestigung und Fließflächen von Einkristallen

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Summary

The nature of existing dislocation hardening mechanisms are analyzed. This analysis shows that the hardening mechanisms can be classified into two categories: isotropic and kinematic; consequently a general physical hardening law, which incorporates the concept of the degree of isotropy in work hardening, is proposed. The corresponding motions of yield surface in both stress and strain space are examined on the basis of this general hardening law and its two extreme cases: isotropic and kinematic hardening.

Zusammenfassung

Es werden die Eigenschaften vorhandener Versetzungsverfestigungstheorien untersucht. Diese Analyse zeigt, daß die Verfestigungsmechanismen in zwei Gruppen eingeteilt werden können; nämlich isotrope und kinematische. Als Folge davon wird ein allgemeines, physikalisches Verfestigungsgesetz vorgeschlagen, welches die Begriffe des Grades der Isotropie und der Arbeitsverfestigung vereinigt. Die dazugehörigen Bewegungen der Fließfläche werden sowohl im Spannungs-als auch im Verzerrungsraum auf der Basis dieses allgemeinen Verfestigungsgesetzes und seiner beiden extremen Fälle, der isotropen und der kinematischen Verfestigung, untersucht.

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References

  1. Weng, G. J., Phillips, A.: An investigation of yield surfaces based on dislocation mechanics. I. Basic theory. Int. J. Engng. Sci.15, 45–59 (1977).

    Google Scholar 

  2. Weng, G. J.: Kinematic hardening rule in single crystals. Int. J. Solids Structures15, 861–890 (1979).

    Google Scholar 

  3. Seeger, A.: The mechanism of glide and work hardening in face-centred-cubic and hexagonal-close-packed metals, in: Dislocations and mechanical properties of crystals (Fisher, J. C., et al., eds.), pp. 243–329. New York: Wiley 1957.

    Google Scholar 

  4. Orowan, E.: Causes and effects of internal stresses, in: Internal stresses and fatigue in metals (Rassweiler, G., Grube, W., eds.), pp. 59–80. Amsterdam: Elsevier 1959.

    Google Scholar 

  5. Prager, W.: The theory of plasticity: A survey of recent achievements (James Clayton Lecture). Proc. Inst. Mech. Engrs.169, 41–57 (1955).

    Google Scholar 

  6. Edwards, E. H., Washburn, J., Parker, E. R.: Some observations on the work hardening of metals. Trans. AIME197, 1525–1529 (1953).

    Google Scholar 

  7. Weng, G. J.: The yield surface of single crystals at arbitrary strain. Acta Mech.37, 231–245 (1980).

    Google Scholar 

  8. Hirsch, P. B., Mitchell, T. E.: Stage II work hardening in crystals. Can. J. Phys.45, 663–706 (1967).

    Google Scholar 

  9. Mott, N. F.: The work hardening of metals. Trans. AIME218, 962–968 (1960).

    Google Scholar 

  10. Basinski, Z. S.: Thermally activated glide in face-centred-cubic crystals. Phil. Mag.4, 393–432 (1959).

    Google Scholar 

  11. Kuhlmann-Wilsdorf, D.: A new theory of work hardening. Trans. AIME224, 1047–1061 (1962).

    Google Scholar 

  12. Weng, G. J.: A physical consideration on the constitutive equations in cyclic plasticity. Proc. 7th Can. Congr. Appl. Mech., 95–96 (1979).

  13. Hodge, P. G., jr.: Discussion of reference 5. J. Appl. Mech.24, 482–483 (1957).

    Google Scholar 

  14. Naghdi, P. M., Trapp, J. A.: The significance of formulating plasticity theory with reference to loading surface in strain space. Int. J. Engng. Sci.13, 785–797 (1975).

    Google Scholar 

  15. Hill, R.: Generalized constitutive relations for incremental deformation of metal crystals by multislip. J. Mech. Phys. Solids14, 95–102 (1966).

    Google Scholar 

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Weng, G.J. Dislocation theories of work hardening and yield surfaces of single crystals. Acta Mechanica 37, 217–230 (1980). https://doi.org/10.1007/BF01202945

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