TECHNICAL PAPERS
Aug 1, 1986

Constitutive Relations of Structure Steel under Nonproportional Loading

Publication: Journal of Engineering Mechanics
Volume 112, Issue 8

Abstract

The mechanical properties of metals in the inelastic range may generally be described by mathematical relationships. Many such constitutive relationships or plasticity models were formulated based on limited experimental data and were at best validated by static or uniaxial cyclic loading tests. Very few of the mathematical models have been substantiated by test results under biaxial and nonproportinal loading conditions because experimental information was not available. This is particularly true for structural steel. This paper is concerned with the improvement of a plasticity model of the two‐surface type for structural steel based on experimentally observed features of annealed A‐36 steel specimens tested under biaxial cyclic and nonproportional loading conditions at room temperature. This two surface plasticity model for A‐36 steel is then used to predict numerically the experimental curves covering the entire strain histories of the tests. Excellent correlations are obtained.

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References

1.
Chang, K. C., “Behaviour of Structural Steel Under Cyclic and Nonproportional Loading,” thesis submitted to the Faculty of the Graduate School of SUNY, at Buffalo, in Feb., 1985, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
2.
Chang, K. C., and Lee, G. C., “Biaxial Properties of Structural Steel under Cyclic and Nonproportional Loading,” paper submitted to the Journal of the Engineering Mechanics Division, ASCE.
3.
Cofie, N. G., “Cyclic Stress‐Strain and Moment‐Curvature Relationships for Steel Beams and Columns,” thesis submitted to The Department of Civil Engineering and The Committee on Graduate Study of Stanford University, in Feb., 1984, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
4.
Dafalias, Y. E., and Popov, E. P., “Plastic Internal Variables Formalism in Cyclic Plasticity,” Journal of Applied Mechanics, Vol. 98, 1976, pp. 645–651.
5.
Hill, R., The Mathematical Theory of Plasticity, Oxford University Press, 1950.
6.
Krempl, E., “Cyclic Plasticity—Some Properties of 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,” Journal of Applied Mechanics, Vol. 42, 1975, pp. 641–646.
8.
Lamba, H. S., and Sidebottom, O. M., “Cyclic Plasticity for Nonproportional Path: 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.
Mroz, A., “An Attempt to Describe the Behavior of Metals under Cyclic Loads Using a More General Work‐Hardening Model,” ACTA Mech., Vol. 17, 1969, pp. 199–212.
10.
Neal, B. G., “The Lateral Instability of Yielded Mild Steel Beams for Rectangular Cross‐Section,” Proc. Roy. Soc. A., Vol. 242, A. 846, 1950, pp. 197–242.
11.
Phillips, A., and Lee, C. W., “Yield Surface and Loading Surface Experiments and Recommendation,” Int. J. Solids and Structures, Vol. 15, 1979, pp. 715–729.
12.
Popov, P. V. and Peterson, H., “Cyclic Metal Plasticity: Experiments and Theory,” J. Eng. Mech. Div., ASCE, Vol. 104, No. EM6, Dec., 1978, pp. 1371–1388.
13.
Prager, W., “A New Method of Analyzing Stress and Strain in Work‐Hardening Plastic Solids,” J. Appl. Mech., Vol. 78, pp. 493–496.
14.
Tseng, N. T., and Lee, G. C., “Simple Plasticity Model of Two‐Surface Type,” J. Eng. Mech., Vol. 109, No. 3, 1983, pp. 795–810.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 112Issue 8August 1986
Pages: 806 - 820

History

Published online: Aug 1, 1986
Published in print: Aug 1986

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K. C. Chang
Research Assoc., Dept. of Civ. Engrg., State Univ. of New York, Buffalo, NY
G. C. Lee, M. ASCE
Prof. and Dean of Engrg., Dept. of Civ. Engrg., State Univ. of New York, Buffalo, NY

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