Simple Plasticity Model of Two‐Surface Type
Publication: Journal of Engineering Mechanics
Volume 109, Issue 3
Abstract
Based on the existence of a yield surface and a memory surface which represents the maximum stress state the material ever experienced, a plasticity model is proposed to describe the inelastic behavior of metal. By choosing the initial locations and sizes of these two surfaces based on the internal structure and the loading history of materials, theoretical results have been obtained. These results compare well with available experimental observations on cyclic creep, cyclic stress relaxation and other transitory phenomena of strain softening materials under generalized cyclic loading conditions. The inelastic behavior of annealed copper subjected to nonproportional strain paths can also be predicted by the proposed model.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Armen, H., “Assumptions, Models and Computational Methods for Plasticity,” Computers and Structures, Vol. 10, 1978, pp. 161–174.
2.
Dafalias, Y. F., and Popov, E. P., “A Model of Nonlinear Hardening Materials for Complex Loadings,” Acta Mechanica, Vol. 21, 1975, pp. 173–194,
and Proceedings, 7th U.S. National Congress Appl. Mech. (Abstract), Boulder, Colo., 1974.
3.
Dafalias, Y. F., and Popov, E. P., “Plastic Internal Variables Formalism in Cyclic Plasticity,” Journal of Applied Mechanics, Vol. 98, 1976, pp. 645–651.
4.
Dolan, T. J., “Nonlinear Response under Cyclic Loading Conditions,” Proceedings, 9th Midwestern Mechanics Conference, 1965, pp. 3–21.
5.
Feltner, C. E., and Laird, C., “Cyclic Stress‐Strain Response of F.C.C. Metals and Alloys—II Dislocation Structures and Mechanisms,” Acta Metallurgica, Vol. 15, 1967, pp. 1633–1653.
6.
Krempl, E., “Cyclic Plasticity—Some Properties of the Hysteresis Curve of Structural Metals at Room Temperature,” Transactions, ASME, Journal of Basic Engineering, Vol. 93D, 1971, pp. 317–323.
7.
Krieg, R. D., “A Practical Two‐Surface Plasticity Theory,” Journal of Applied Mechanics, Vol. 42, 1975, pp. 641–646.
8.
Lamba, H. S., and Sidebottom, O. M., “Cyclic Plasticity for Nonproportional Paths: Part 1—Cyclic Hardening, Erasure of Memory and Subsequent Strain Hardening Experiments,” Journal of Engineering Materials and Technology, Vol. 100, 1978, pp. 96–103.
9.
Lamba, H. S., and Sidebottom, O. M., “Cyclic Plasticity for Nonproportional Paths: Part 2—Comparison with Predictions of Three‐Incremental Plasticity Models,” Journal of Engineering Materials and Technology, Vol. 100, 1978, pp. 104–111.
10.
Lubahn, J. D., and Felgar, R. P., Plasticity and Creep of Metals, John Wiley & Sons, Inc., New York, N.Y., 1961.
11.
Masing, G., “Eigenspannungen and Verfestigung Beim Messing,” Proceedings, 2nd International Congress for Applied Mechanics, Zurich, 1926.
12.
Morrow, J. D., “Cyclic Plastic Strain Energy and Fatigue of Metals,” ASTM, STP No. 378, 1965.
13.
Mroz, A., “On the Description of Anisotropic Hardening,” Journal of Mech. Phys. Solid, Vol. 15, 1967, pp. 163–175.
14.
Mroz, A., “An Attempt to Describe the Behavior of Metals Under Cyclic Loads Using a More General Work‐Hardening Model,” Acta Mechanica, Vol. 17, 1969, pp. 199–212.
15.
Nemat‐Nasser, S., “Decomposition of Strain Measures and their Rates in Finite Deformation Elastoplasticity,” International Journal of Solids and Structures, Vol. 15, 1979, pp. 155–166.
16.
Petersson, H., and Popov, E. P., “Constitutive Relations for Generalized Loadings,” Journal of the Engineering Mechanics Division, ASCE, Vol. 103, Aug., 1977, pp. 611–627.
17.
Phillips, A., and Lee, C. W., “Yield Surfaces and Loading Surfaces. Experiments and Recommendations,” International Journal of Solids and Structures, Vol. 15, 1979, pp. 715–729.
18.
Popov, E. P., and Ortiz, M., “Macroscopic and Microscopic Cyclic Metal Plasticity,” Proceedings, 3rd Engineering Mechanics Division Specialty Conference, ASCE, Austin, Texas, 1975, pp. 303–330.
19.
Rashid, Y. P., “On Nonlinear Kinematic Hardening Plasticity Theory,” Nuclear Engineering and Design, Vol. 29, 1974, pp. 135–140.
20.
Taylor, G. I., and Quinney, H., “The Plastic Distortion of Metals,” Philosophical Transactions Royal Society, Vol. 230, 1931, pp. 323–362.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 109 • Issue 3 • August 1983
Pages: 795 - 810
Copyright
Copyright © 1983 ASCE.
History
Published online: Aug 1, 1983
Published in print: Aug 1983
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.