Abstract
A new superposed rule of Mroz's kinematic hardening rule and Ziegler's kinematic hardening rule based on two-surface model is proposed in the paper. Some experimental results on ratchetting of 2014-T6 aluminum alloy are predicted very well under multiaxial loading. In addition the conformability of the model is discussed for transient cyclic hardening under two kinds of nonproportional cyclic loading paths, i.e. square and rhombic path.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Chaboche JL, Nouailhas D. Constitutive modeling of ratchetting effects—Part I: experimental facts and properties of the classical models.ASME Trans J Engng Mater Tech, 1989, 111: 409–416
Chaboche JL, Nouailhas D. Constitutive modeling of ratchetting effects—Part II: possibilities of some additional kinematic rules.ASME Trans J Engng Mater Tech, 1989, 111: 409–416
Hassan T, Corona E, Kyriakides S. Ratchetting in cyclic plasticity—Part II: multiaxial behavior.Int J Plasticity, 1992, 8: 117–146
McDowell DL. Description of nonproportional cyclic ratchetting behavior.Eur J Mech, A/Solids, 1994, 3(5): 593–604
Ohno N, Wang J-D. Nonlinear kinematic hardening rule: proposition and application to ratchetting problems.Trans SMiRT, 11, Vol.L, Tokyo, 1991. 481-46
Yoshida F. Ratchetting behaviour of 304 stainless steel at 650°C under multiaxial strain-controlled and uniaxially/multiaxially stress-controlled condition.Eur J Mech, A/Solids, 1995, 14(1): 97–117
Lamba HS, Sidebottom OM. Cyclic plasticity for nonproportional paths—Part II, comparison with prediction of three incremental plasticity model.ASME Trans J Engng Mater Tech, 1978, 100: 104–112
Ellyin F, Xia Z. A rate-independent constitutive model for transient nonproportional loading.J Mech Phys Solids, 1989, 37: 71–91
McDowell DL. An Experimental study of the structure of constitutive equations of nonproportional cyclic plasticity,ASME Trans J Engng Mater Tech, 1985, 107: 307–315
Abel A, Chen X, Jin S, Wu S. Cyclic plasticity behaviors fo 2014-T6 Al alloy under nonproportional loading. Proceedings of The Fourth International Conference on Biaxial/Multiaxial Fatigue, Vol II, Paris, 1994. 109–116
Ziegler H. A modification of Prager's hardening rule.Quarterly of Applied Mechanics, 1959, 7: 55–56
Mroz Z. An attempt to describe the behavior of metals under cyclic loading a more general workhardening model.Acta Mechanica, 1969, 7: 199–212
Author information
Authors and Affiliations
Additional information
The project supported by the National Natural Science Foundation of China
Rights and permissions
About this article
Cite this article
Xu, C., Abel, A. A two-surface model describing ratchetting behaviors and transient hardening under nonproportional loading. Acta Mech Sinica 12, 368–376 (1996). https://doi.org/10.1007/BF02487802
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02487802