Skip to main content
Log in

On the Basic Relationships of the Flow Theory for Strain-Hardening Plastic Solids

  • Published:
International Applied Mechanics Aims and scope

Abstract

The paper presents a new form of the basic relationships for the theory of plastic bodies with arbitrary anisotropic hardening in the neighborhood of a regular point of an arbitrary loading surface. In these relationships, the increment of the strain components is expressed in terms of the increment of the stress components, plastic-strain components, and stress components

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. G. N. Bykovtsev and D. D. Ivlev, Theory of Plasticity [in Russian], Dal'nauka, Vladivostok (1999).

    Google Scholar 

  2. D. D. Ivlev and G. N. Bykovtsev, Theory of Strain-Hardening Elastoplastic Solid [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  3. A. N. Guz, Fundamentals of the Theory of Stability of Mine Workings [in Russian], Naukova Dumka, Kiev (1977).

    Google Scholar 

  4. A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies [in Russian], Vysh. Shk., Kiev (1986).

    Google Scholar 

  5. A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Springer-Verlag, Berlin (1999).

    Google Scholar 

  6. A. N. Guz, “On the basic relationships of the flow theory for strain-hardening plastic solids,” in: Chien Wei-Zang (editor-in-chief), Proc. 4th Int. Conf. on Nonlinear Mechanics (Shanghai, 2002), Univ. Press, Shanghai (2002), pp. 51-53.

    Google Scholar 

  7. A. N. Guz, “Constructing the three-dimensional theory of stability of deformable bodies,” Int. Appl. Mech., 37, No. 1, 1-37 (2001).

    Google Scholar 

  8. A. N. Guz, “Establishing the fundamentals of the theory of stability of mine workings,” Int. Appl. Mech., 39, No. 1, 20-48 (2003).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guz, A.N. On the Basic Relationships of the Flow Theory for Strain-Hardening Plastic Solids. International Applied Mechanics 39, 993–996 (2003). https://doi.org/10.1023/A:1027429202754

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1027429202754

Navigation