TECHNICAL PAPERS
Apr 1, 1999

Hardening Models and Their Predictions of Material Response

Publication: Journal of Engineering Mechanics
Volume 125, Issue 4

Abstract

Several hardening models are investigated in this paper to examine how they predict material behavior under closed-loop loading paths. The linear Prager's kinematic hardening rule and a new kinematic hardening model proposed in a previous paper are first used to solve a thin-walled tube problem subjected to combined internal pressure and axial loads. Closed-form transient and steady-state solutions are achieved for closed-loop loading paths, and the corresponding yield center loci and plastic strain trajectories are illustrated. This paper then shows that Phillips's kinematic hardening rule and the two-surface plasticity theory all predict an unreasonable material response. A conclusion is finally reached that the newly proposed kinematic hardening model has more potential than the other models, and further theoretical and experimental investigations are suggested to probe the optimum form of the plastic modulus to make this new model qualitatively, and also quantitatively, describe well material behavior.

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References

1.
Chang, K. C., and Lee, G. C. (1986a). “Biaxial properties of structural steel under nonproportional loading.”J. Engrg. Mech., ASCE, 112(9), 792–805.
2.
Chang, K. C., and Lee, G. C. (1986b). “Constitutive relations of structure steel under nonproportional loading.”J. Engrg. Mech., ASCE, 112(8), 806–820.
3.
Dafalias, Y. F., and Popov, E. P. ( 1976). “Plastic internal variables formalism of cyclic plasticity.” J. Appl. Mech., 43(4), 645–651.
4.
Drucker, D. C., and Palgen, L. ( 1981). “On stress-strain relations suitable for cyclic and other loading.” J. Appl. Mech., 48(3), 479–485.
5.
Ellyin, F. ( 1983). “On the concept of initial and subsequent yield loci.” Proc., Int. Colloquium on Failure Criteria of Structured Media, J. P. Boehler, ed.
6.
Hecker, S. S. ( 1976). “Experimental studies of yield phenomena in biaxially loaded metals.” Constitutive equations in viscoplasticity: Computational and engineering aspects, Vol. 20, AMD, American Society of Mechanical Engineers, New York, 1–32.
7.
Jiang, W. ( 1993a). “The elastic-plastic response of thin-walled tubes under combined axial and torsional loads: I—Monotonic loading.” J. Pressure Vessel Technol., 115(3), 283–290.
8.
Jiang, W. ( 1993b). “The elastic-plastic response of thin-walled tubes under combined axial and torsional loads: II—Variable loading.” J. Pressure Vessel Technol., 115(3), 291–296.
9.
Jiang, W. (1994a). “Study of two-surface plasticity theory.”J. Engrg. Mech., ASCE, 120(10), 2179–2200.
10.
Jiang, W. (1994b). “New kinematic hardening model.”J. Engrg. Mech., ASCE, 120(10), 2201–2222.
11.
Jiang, W., and Wu, K. H. ( 1993). “Thin-walled tubes subjected to combined internal pressure and axial load.” AIAA J., 31(2), 377–387.
12.
Krempl, E. ( 1971). “Cyclic plasticity—Some properties of hysteresis curve of structural metals at room temperature.” J. Basic Engrg., 93d, 317–323.
13.
Lamba, H. S., and Sidebottom, O. M. ( 1978a). “Cyclic plasticity for nonproportional paths: Part 1—Cyclic hardening, erasure of memory and subsequent strain hardening experiments.” J. Engrg. Mat. and Technol., 100, 96–103.
14.
Lamba, H. S., and Sidebottom, O. M. ( 1978b). “Cyclic plasticity for nonproportional paths: Part 2—Comparison and predictions of three-incremental plasticity models.” J. Engrg. Mat. and Technol., 100, 104–111.
15.
Liu, K. C., and Greenstreet, W. L. ( 1976). “Experimental studies to examine elastic-plastic behaviors of metal alloys used in nuclear structures.” Constitutive Equations in Viscoplasticity: Computational and Engineering Aspects, Vol. 20, AMD, American Society of Mechanical Engineers, New York, 35–56.
16.
Mair, W. M., and Pugh, H. ( 1964). “Effect of prestrain on yield surfaces in copper.” J. Mech. Engrg. Sci., 6(2), 150–163.
17.
Masing, G. ( 1926). “Eigenspannungen und Verfestignung Beim Messing.” Proc., 2nd Congr. for Applied Mech. (in German).
18.
McDowell, D. L. (1987). “Simple experimentally motivated cyclic plasticity model.”J. Engrg. Mech., ASCE, 113(3), 378–302.
19.
Phillips, A., and Lee, C. W. ( 1979). “Yield surface and loading surface. Experiments and recommendations.” Int. J. Solids and Struct., 15, 715–729.
20.
Phillips, A., Tang, J. L., and Ricciuti, M. ( 1974). “Some new observations on yield surfaces.” Acta Mechanica, 20, 23–39.
21.
Tseng, N. T., and Lee, G. C. (1983). “Simple plasticity model of two-surface type.”J. Engrg. Mech., ASCE, 109(3), 795–810.
22.
Xia and Ellyin. ( 1991). “Nonproportional multiaxial cyclic loading: Experiments and constitute modeling.” J. Appl. Mech., 58(2), 317–325.

Information & Authors

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 125Issue 4April 1999
Pages: 382 - 391

History

Received: Feb 11, 1994
Published online: Apr 1, 1999
Published in print: Apr 1999

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Authors

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Wei Jiang
Mech. Engrg. Dept., Florida Int. Univ., Miami, FL 33199.

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