Skip to main content
SpringerLink
Log in

Frature and yield of isotropic elastic material

Bruch und Fließen des isotropen elastischen Werkstoffes

  • Contributed Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

The frature and yield of an isotropic elastic material are discussed theoretically. The frame-indifferent relation between stress- and strain increments is obtained and it is defined that the fracture and yield may occur when there is no one-to-one correspondence between them. The shear-type fracture and yield conditions are discussed shortly for pressure-insensitive case.

Zusammenfassung

Bruch und Fließen des isotropen elastischen Werkstoffes werden theoretisch diskutiert. Die bezugsindifferente Beziehung zwischen Spannungs- und Verzerrungswachstum wird aufgestellt und festgestellt, daß Bruch und Fließen auch bei einer nicht ein-eindeutigen Zuordnung zwischen ihnen auftreten können. Scherbruch- und Scherfließbedingung werden kurz für den druckunempfindlichen Fall diskutiert.

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

Similar content being viewed by others

References

  1. Thomas, T. Y.: Independence of the Yield Condition and the Stress-Strain Relations for Plastic Flow. Proc. Nat. Acad. Sci. U.S.A.40, 593 (1954).

    Google Scholar 

  2. Truesdell, C.: Hypo-Elasticity. J. Rational Mech. Anal.4, 83, 1019 (1955).

    Google Scholar 

  3. Thomas, T. Y.: Combined Elastic and Prandtl-Reuss Stress-Strain Relations. Proc. Nat. Acad. Sci. U.S.A.41, 720 (1955).

    Google Scholar 

  4. Thomas, T. Y.: Combined Elastic and von Mises Stress-Strain Relations. Proc. Nat. Acad. Sci. U.S.A.41, 908 (1955).

    Google Scholar 

  5. Green, A. E.: Hypo-Elasticity II. J. Rational Mech. Anal.5, 725 (1956).

    Google Scholar 

  6. Noll, W.: On the Continuity of the Solid and Fluid States. J. Rational Mech. Anal.4, 3 (1955).

    Google Scholar 

  7. Bernstein, B.: Hypo-Elasticity and Elasticity. Arch. Rational Mech. Anal.6, 89 (1960).

    Google Scholar 

  8. Tokuoka, T.: Yield Conditions and Flow Rules Derived from Hypo-Elasticity. Arch. Rational Mech. Anal.42, 239 (1971).

    Google Scholar 

  9. Noll, W.: A Mathematical Theory of the Mechanical Behavior of Continuous Media. Arch. Rational Mech. Anal.2, 197 (1958/59).

    Google Scholar 

  10. Wang, C.-C.: A new Representation Theorem for Isotropic Functions. Arch. Rational Mech. Anal.36, 198 (1970).

    Google Scholar 

  11. Truesdell, C., andR. Toupin: The Classical Field Theories. In: Encyclopedia of Physics, Vol. III/1 (Flügge, S., ed.). Berlin-Göttingen-Heidelberg: Springer. 1960.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Aeronautical Engineering, Kyoto University, Kyoto, Japan

    T. Tokuoka

Authors
  1. T. Tokuoka
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

With 7 Figures

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tokuoka, T. Frature and yield of isotropic elastic material. Acta Mechanica 17, 43–54 (1973). https://doi.org/10.1007/BF01260878

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01260878

Keywords

Search

Navigation