Summary
A kinematic hardening model is generalized by introducing plastic and viscous residual “back” stresses α, β that govern the translation of the yield surface. The evolution equations for α and β are proposed and the material functions are identified for a construction steel by carrying out tension-compression tests at different strain rates. The cyclic tests with changing strain amplitudes and frequencies are next carried out and model predictions are compared with experimental results.
Zusammenfassung
Ein Modell mit kinetmatischer Verfestigung wird durch die Einführung plastischer und viskoser bleibender “Hintergrundspannungen” α, β verallgemeinert, die die Bewegungen der Fließfläche steuern. Die Wachstumsgleichungen für α und β werden aufgestellt und die Materialfunktionen für einen Baustahl aus Zug-Druckversuchen mit verschiedener Dehnungsrate bestimmt. Die zyklischen Versuche mit sich ändernden Dehnungsamplituden und Fequenzen werden als nächstes durchgeführt und die Modellaussagen mit den experimentellen Ergebnissen verglichen.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Mróz, Z.: On the description of anisotropic workhardening. J. Mech. Phys. Solids15, 163–175 (1967).
Mróz, Z.: An attempt to describe the behaviour of metals under cyclic loads using a more general workhardening model. Acta Mechanica7, 199–212 (1968).
Mróz, Z.: A description of workhardening of metals with application to variable loading. Proc. Intern. Symp. “Foundations of Plasticity” (Sawczuk, A., ed.). Noordhoff Intern. Publ. 1972.
Mróz, Z., Shrivastava, H. P., Dubey, R. N.: A non-linear kinematic hardening model and its application to cyclic loading. Acta Mechanica25, 51–61 (1976).
Eisenberg, M. A., Phillips, A.: On non-linear kinematic hardening. Acta Mechanica5 (1968).
Eisenberg, M. A.: A generalization of plastic flow theory with application to cyclic hardening and softening phenomena. Trans. ASME, J. Eng. Mat. Technology97H, 221–228 (1976).
Krieg, R. D.: A practical two-surface plasticity theory. J. Appl. Mech.42, 641–646 (1975).
Dafalias, Y. F., Popov, E. P.: A model of non-linearly hardening materials for complex loading. Acta Mechanica21, 173–192 (1975).
Lamba, H. S., Sidebottom, O. M.: Cyclic plasticity for nonproportional paths: Part 1 — Cyclic hardening, erasure of memory and subsequent strain hardening experiments. J. Eng. Mat. Technology, Trans. ASME100, 104–111 (1978).
Lamba, H. S., Sidebottom, O. M.: Cyclic plasticity for nonproportional paths: Part 2 — Comparison with predictions of three incremental plasticity models. J. Eng. Mat. Technology, Trans. ASME100, 104–111 (1978).
Backhaus, G.: Zur analytischen Erfassung des allgemeinen Bauschinger-Effekts. Acta Mech.14, 31–42 (1972).
Miller, A.: An inelastic constitutive model for monotonic, cyclic and creep deformation: Part I — Equations development and analytical procedures. J. Eng. Mat. Technology, Trans. ASME98, 97–105 (1976).
Ponter, A. R. S., Leckie, F. A.: Constitutive relations for the timedependent deformation of metals. J. Eng. Mat. Technology98, 47–51 (1976).
Hart, E. W.: A phenomenological theory for plastic deformation of polycrystalline metals. Acta Metall.18, 599–610 (1970).
Lagneborg, R.: A modified recovery-creep model and its evaluation. Met. Sci. J.6, 127–133 (1972).
Author information
Authors and Affiliations
Additional information
With 14 Figures
Rights and permissions
About this article
Cite this article
Kujawski, D., Mróz, Z. A viscoplastic material model and its application to cyclic loading. Acta Mechanica 36, 213–230 (1980). https://doi.org/10.1007/BF01214633
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01214633