TECHNICAL PAPERS
Dec 1, 1998

Stress-Resultant Plasticity for Frame Structures

Publication: Journal of Engineering Mechanics
Volume 124, Issue 12

Abstract

Two versions of a bounding surface plasticity model implemented in stress-resultant space and applicable to the analysis of steel, reinforced concrete, or composite beam-columns are discussed. One is a two-surface model appropriate for steel members with a finite elastic region. The second, which is developed for reinforced concrete and composite steel-concrete members, employs a single outer bounding surface with an infinitely small loading surface that is degenerated to a point. Plasticity-based assumptions employed in the formulation of these models are reviewed and predicted plastic flow directions are evaluated against data from more fundamental fiber-type analyses of the beam-column cross sections. Results of these comparisons support the use of Mroz's kinematic rule in stress-resultant space and lead to recommended improvements in the bounding surface formulation.

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References

1.
Calladine, C. R. (1969). Engineering plasticity. Pergamon Press, New York.
2.
Dafalias, Y. H., and Popov, E. P. (1977). “Cyclic loading for materials with vanishing elastic region.”Nuclear Engrg. and Design, Vol. 41, 293–302.
3.
Drucker, D. C. (1951). “A more fundamental approach to plastic stress-strain relations.”Proc. First U.S. Nat. Congr. of Appl. Mech., Am. Society of Mech. Engrs., New York, 487–491.
4.
El-Tawil, S., and Deierlein, G. G. (1996a). “Fiber analysis of composite beam-column cross sections.”Struct. Engrg. Rep. No. 96-06, School of Civ. and Envir. Engrg., Cornell University, Ithaca, N.Y.
5.
El-Tawil, S., and Deierlein, G. G. (1996b). “Inelastic dynamic analysis of mixed steel-concrete-space frames.”Struct. Engrg. Rep. No. 96-05, School of Civ. and Envir. Engrg., Cornell University, Ithaca, N.Y.
6.
Hajjar, J. F., Gourley, B. C., and Olson, M. C.(1997). “A cyclic nonlinear model for concrete filled tubes. I: Formulation, II: Verification.”J. Struct. Engrg., ASCE, 123(6), 736–754.
7.
Hilmy, S. I., and Abel, J. F. (1985). “A strain-hardening concentrated plasticity model for nonlinear dynamic analysis of steel buildings.”NUMETA85, Numer. Methods in Engrg., Theory and Applications, Vol. 1, 305–314.
8.
Hodge, P. G. Jr. (1959). Plastic analysis of structures. McGraw-Hill Book Company, New York.
9.
Konig, J. A. (1987). Shakedown of elastic plastic structures. Polish Scientific Publishers, Warszawa, Poland.
10.
Lubliner, J. (1990). Plasticity theory. Macmillan Publishing Co., New York.
11.
Mroz, Z. (1967). “On the description of anisotropic work-hardening.”J. Mech. Phys. Solids, Vol. 15, 163–175.
12.
Nigam, N. C. (1970). “Yielding in framed structures under dynamic loads.”Journal of the Engineering Mechanics Division, ASCE, 96(EM5), 687–709.
13.
Orbison, J., McGuire, W., Abel, J. F. (1982). “Yield surface applications in nonlinear steel frame analysis.”Comp. Methods in Appl. Mech. and Engrg., North-Holland Publishing, Vol. 33, 557–573.
14.
Phillips, A., and Weng, F. J. (1975). “An analytical study of an experimentally verified hardening law.”J. Appl. Mech., Vol. 42, 375–375.
15.
Porter, F. L., and Powell, G. H. (1971). “Static and dynamic analysis of inelastic frame structures.”EERC Rep. No. 71-3, Earthquake Engrg. Res. Center, University of California at Berkeley, Calif.
16.
Powell, G. H., and Chen, P. F.(1986). “3D beam-column element with generalized plastic hinges.”J. Engrg. Mech., ASCE, 112(7), 627–641.
17.
Prager, W. (1956). “A new method of analyzing stresses and strains in work-hardening plastic solids.”J. Appl. Mech., Vol. 23, 493–496.
18.
Takizawa, H., and Aoyama, H. (1976). “Biaxial effects in modeling earthquake response of RC structures.”Earthquake Engrg. and Struct. Dyn., Vol. 4, 523–552.
19.
Tseng, N. T., and Lee, G. C.(1983). “Simple plasticity model of two-surface type.”J. Engrg. Mech., ASCE, 109(3), 795–810.
20.
Zhao, Y. (1993). Modeling off inelastic cyclic behavior of members, connections, and joint panels of steel frames, PhD thesis, School of Civ. and Envir. Engrg., Cornell University, Ithaca, N.Y.
21.
Ziegler, H. (1959). “A modification of Prager's hardening rule.”Quart. Appl. Math, Vol. 17, 55–65.
22.
Zyczykowski, M. (1981). Combined loading in the theory of plasticity. Polish Scientific Publishers, Warszawa, Poland.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 124Issue 12December 1998
Pages: 1360 - 1370

History

Published online: Dec 1, 1998
Published in print: Dec 1998

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Authors

Affiliations

Sherif El-Tawil, Associate Member, ASCE,
Asst. Prof., Dept. of Civ. and Envir. Engrg., Univ. of Central Florida, Orlando, FL 32816.
Gregory G. Deierlein, Member, ASCE
Assoc. Prof., School of Civ. and Envir. Engrg., Cornell Univ., Ithaca, NY 14853.

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