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
Similar content being viewed by others
REFERENCES
G. N. Bykovtsev and D. D. Ivlev, Theory of Plasticity [in Russian], Dal'nauka, Vladivostok (1999).
D. D. Ivlev and G. N. Bykovtsev, Theory of Strain-Hardening Elastoplastic Solid [in Russian], Nauka, Moscow (1971).
A. N. Guz, Fundamentals of the Theory of Stability of Mine Workings [in Russian], Naukova Dumka, Kiev (1977).
A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies [in Russian], Vysh. Shk., Kiev (1986).
A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Springer-Verlag, Berlin (1999).
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.
A. N. Guz, “Constructing the three-dimensional theory of stability of deformable bodies,” Int. Appl. Mech., 37, No. 1, 1-37 (2001).
A. N. Guz, “Establishing the fundamentals of the theory of stability of mine workings,” Int. Appl. Mech., 39, No. 1, 20-48 (2003).
Author information
Authors and Affiliations
Rights 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
Issue Date:
DOI: https://doi.org/10.1023/A:1027429202754