Simplified Model of Unilateral Damage for RC Frames
Publication: Journal of Structural Engineering
Volume 121, Issue 12
Abstract
This paper describes an approach, based on the concepts of continuum damage mechanics and standard inelastic analysis of reinforced concrete (RC) frames, to the modeling of the hysteretic behavior of RC frames. A frame member is considered as the assemblage of an elastic beam-column and two inelastic hinges, as in the conventional lumped plasticity models. Three sets of internal variables, which measure plastic rotations and the state of damage of the member, are introduced. An expression for the flexibility matrices and the complementary strain energy of a member are proposed as a function of these internal variables. The resulting model can be classified as “unilateral,” i.e., it is assumed that damage due to positive actions has no influence in the behavior under negative action due to the closure of cracks when moments change sign. The accuracy of the model is verified by simulating various experiments for which data were available in the literature. The model is very simple in nature and as a result is not comprehensive; however, the approach presented is amenable of further generalizations.
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References
1.
Chai, Y. H., Nigel Priestley, M. J., and Seible, F. (1991). “Seismic retrofit of circular bridge columns for enhanced flexural performance.”ACI Struct. J., 88(5).
2.
Cipollina, A., López-Inojosa, A., and Flórez-López, J. (1995). “A simplified damage mechanics approach to nonlinear analysis of frames.”Comp. & Struct., 54(6).
3.
Cohn, Z. M., and Franchi, A.(1979). “STRUPL: A computer system for structural plasticity.”J. Struct. Div., ASCE, 105(4), 789–804.
4.
Fang, I.-K., Wang, C.-S., and Hong, K.-L. (1994). “Cyclic behavior of high-strength concrete short beams with lower amount of flexural reinforcement.”ACI Struct. J., 91(1).
5.
Filippou, F. C., Popov, E. P., and Bertero, V. V. (1986). “Analytical studies of hysteretic behavior of R/C joints. J. Struct. Div., ASCE, 112, 1605–1622.
6.
Flórez-López, J. (1993). “Calcul simplifié de portiques endommageables.”Revue européenne des éléments finis [ Eur. J. Finite Elements ], 2(1), 47–74 (in French).
7.
Kunnath, S. K., Reinhorn, A. M., and Park, Y. J.(1990). “Analytical modeling of inelastic seismic response of R/C structures.”J. Struct. Div., ASCE, 116(4), 996–1017.
8.
Ladeveze, P. (1983). “On a anisotropic damage theory.”Proc., CNRS Int. Colloquium of Failure Criteria of Struct. Media, Villars de Lans, France.
9.
Lemaitre, J., and Chaboche, J.-L. (1988). Mechanics of solid materials . Dunod, Paris, France.
10.
Lim, K. Y., and McLean, D. I. (1991). “Scale model studies of moment-reducing hinge in bridge columns.”ACI Struct. J., 88(4).
11.
Ma, S. M., Bertero, V. V., and Popov, E. P. (1967). “Experimental and analytical studies on hysteretic behavior of reinforced concrete rectangular and T-beams.”Earthquake Engrg. Res. Ctr. Rep. No. EERC 76-2, Univ. of California, Berkeley, Calif.
12.
Maier, G., De Donato, L., and Corradi, L. (1973). “Inelastic analysis of reinforced concrete frames by quadratic programming.”Symp. on Inelasticity and Nonlinearities in Struct. Concrete, Univ. of Waterloo, Canada.
13.
Mazars, J. (1986). “A model of unilateral elastic damageable material and its application to concrete.”Proc., Fracture Toughness and Fracture Energy of Concrete, F. H. Wittmann, ed. Elsevier, New York, N.Y., 61–71.
14.
Popov, E. P., Bertero, V. V., and Krawinkler, H. (1972). “Cyclic behavior of three R.C. flexural members with high shear.”Earthquake Engrg. Res. Ctr. Rep. No. EERC 72-5, Univ. of California, Berkeley, Calif.
15.
Puglisi, M., and Flórez-López, J. (1994). “Lumped damage models for oligocyclic fatigue in RC frames.”Proc., Localized Damage III, Computational Mechanics Publishers, Southhampton, Mass.
16.
Roufaiel, M. S. L., and Meyer, C.(1987). “Analytical modeling of hysteretic behavior of R/C frames.”J. Struct. Div., ASCE, 113(3), 429–443.
17.
Takeda, T., Sozen, M. A., and Nielsen, N. N.(1970). “Reinforced concrete response to simulated earthquakes.”J. Struct. Div., ASCE, 96, 2557–2573.
18.
Wang, M.-L., and Shan, S. P.(1987). “Reinforced concrete hysteresis model based on the damage concept.”Earthquake Engrg. and Struct. Dynamics, 15, 993–1003.
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Published In
Journal of Structural Engineering
Volume 121 • Issue 12 • December 1995
Pages: 1765 - 1772
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Dec 1, 1995
Published in print: Dec 1995
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