Title:
Hysteresis Modeling of Reinforced Concrete Structures: State of the Art
Author(s):
Piyali Sengupta and Bing Li
Publication:
Structural Journal
Volume:
114
Issue:
1
Appears on pages(s):
25-38
Keywords:
analytical modeling; degradation; hysteresis; pinching; reinforced concrete.
DOI:
10.14359/51689422
Date:
1/1/2017
Abstract:
Hysteresis modeling of reinforced concrete (RC) structures requires a constitutive relationship capable of producing requisite strength and stiffness degradation and pinching at all displacement levels. Moreover, the hysteresis model must be generic, computationally efficient, and mathematically tractable so as to perform satisfactorily with random input functions. Thus, development of hysteresis models with the entire prerequisites may become stringent considering the numerous parameters contributing to the structural behavior. Hence, an extensive literature review is conducted to comprehend the hysteresis models of RC structures developed by various researchers. Then, a comprehensive synopsis of the state of the art along with the substantive findings is reported in the present paper. Thereafter, a comparative study between the existing hysteresis models and the experimental results of RC structural components under quasi-static cyclic loading is conducted to evaluate the performance of the hysteresis models.
Related References:
1. Veletsos, A. S.; Newmark, N. M.; and Chelapati, C. V., “Deformation Spectra for Elastic and Elastoplastic Systems subjected to Ground Shock and Earthquake Motions,” Proceedings of 3rd World Conference on Earthquake Engineering, V. II, 1965, pp. 663-682.
2. Clough, R. W., and Johnston, S. B., “Effect of Stiffness Degradation on Earthquake Ductility Requirements,” Proceedings of 2nd Japan National Conference on Earthquake Engineering, 1966, pp. 227-232.
3. Takeda, T.; Sozen, M. A.; and Nielson, N. N., “Reinforced Concrete Response to Simulated Earthquakes,” Journal of the Structural Division, ASCE, V. 96, 1970, pp. 2557-2573.
4. Imbeault, F. A., and Nielsen, N. N., “Effect of Degrading Stiffness on the Response of Multistory Frames Subjected to Earthquakes,” Proceedings of 5th World Conference on Earthquake Engineering, 1973, pp. 1756-1765.
5. Saidi, M., and Sozen, M. A., “Simple and Complex Models for Nonlinear Seismic Response of Reinforced Concrete Structures,” A Report to the National Science Foundation, University of Illinois at Urbana-Champaign, Champaign, IL, Aug. 1979, 204 pp.
6. Otani, S., “Nonlinear Dynamic Analysis of Reinforced Concrete Building Structures,” Canadian Journal of Civil Engineering, V. 7, No. 2, 1980, pp. 333-344. doi: 10.1139/l80-041
7. Ozcebe, G., and Saatcioglu, M., “Hysteresis Shear Models for Reinforced Concrete Members,” Journal of Engineering Mechanics, V. 115, No. 1, 1989, pp. 132-148.
8. Dowell, R. K.; Seible, F.; and Wilson, E. L., “Pivot Hysteresis Model for Reinforced Concrete Members,” ACI Structural Journal, ASCE, V. 95, No. 5, Sept.-Oct. 1998, pp. 607-617.
9. Sucuoglu, H., and Erberik, A., “Energy-Based Hysteresis and Damage Models for Deteriorating Systems,” Earthquake Engineering & Structural Dynamics, V. 33, No. 1, 2004, pp. 69-88. doi: 10.1002/eqe.338
10. Ibarra, L. F.; Medina, R. A.; and Krawinkler, H., “Hysteretic Models that incorporate Strength and Stiffness Deterioration,” Earthquake Engineering & Structural Dynamics, V. 34, No. 12, 2005, pp. 1489-1511. doi: 10.1002/eqe.495
11. Bouc, R., “Forced Vibration of Mechanical Systems with Hysteresis,” Proceedings of the 4th Conference on Nonlinear Oscillation, Prague, Czechoslovakia, 1967, pp. 315.
12. Baber, T. T., and Wen, Y. K., “Random Vibrations of Hysteretic Degrading Systems,” Journal of Engineering Mechanics, ASCE, V. 107, No. 6, 1981, pp. 1069-1087.
13. Baber, T. T., and Noori, M. N., “Random Vibration of Degrading Pinching Systems,” Journal of Engineering Mechanics, ASCE, V. 111, No. 8, 1985, pp. 1010-1026. doi: 10.1061/(ASCE)0733-9399(1985)111:8(1010)
14. Sengupta, P., and Li, B., “Modified Bouc-Wen Model for Hysteresis Behavior of RC Beam-Column Joints with Limited Transverse Reinforcement,” Engineering Structures, V. 46, 2013, pp. 392-406. doi: 10.1016/j.engstruct.2012.08.003
15. Sengupta, P., and Li, B., “Hysteresis Behavior of Reinforced Concrete Walls,” Journal of Structural Engineering, ASCE, V. 140, No. 7, 2014, pp. 1-18. doi: 10.1061/(ASCE)ST.1943-541X.0000927
16. Sengupta, P., and Li, B., “Seismic Fragility Evaluation of Lightly Reinforced Concrete Beam-Column Joints,” Journal of Earthquake Engineering, V. 18, No. 7, 2014, pp. 1102-1128. doi: 10.1080/13632469.2014.919890
17. Sengupta, P., and Li, B., “Seismic Fragility Evaluation of Reinforced Concrete Structural Walls,” Journal of Earthquake Engineering, ASCE, doi: 10.1080/13632469.2015.1104755
18. Hakuto, S.; Park, R.; and Tanaka, H., “Seismic Load Tests on Interior and Exterior Beam-Column Joints with Substandard Reinforcing Details,” ACI Structural Journal, V. 97, No. 1, Jan.-Feb. 2000, pp. 11-25.
19. Liu, A., “Seismic Assessment and Retrofit of Pre-1970s Reinforced Concrete Frame Structures,” PhD dissertation, University of Canterbury, Christchurch, New Zealand, 2001, 420 pp.
20. Walker, S. G., “Seismic Performance of Existing Reinforced Concrete Beam-Column Joints,” MSCE thesis, Department of Civil Engineering, University of Washington, Seattle, WA, 2001, 308 pp.
21. Alire, D. A., “Seismic Evaluation of Existing Unconfined Reinforced Concrete Beam-Column Joints,” MSCE thesis, Department of Civil Engineering, University of Washington, Seattle, WA, 2002, 291 pp.
22. Pessiki, S. P.; Conley, C. H.; Gergely, P.; and White, R. N., “Seismic Behavior of Lightly-RC Column and Beam-Column Joint Details,” Technical Report NCEER-90-0014, 1990, pp. 231.
23. Joh, O.; Goto, Y.; and Shibata, T., “Influence of Transverse Joint and Beam Reinforcement and Relocation of Plastic Hinge Region on Beam-Column Joint Stiffness Deterioration,” Design of Beam-Column Joints for Seismic Resistance, SP-123, J. O. Jirsa, ed., American Concrete Institute, Farmington Hills, MI, 1991, pp. 187-223.
24. Joh, O.; Goto, Y.; and Shibata, T., “Behavior of Reinforced Concrete Beam-Column Joints with Eccentricity,” Design of Beam-Column Joints for Seismic Resistance, SP-123, J. O. Jirsa, ed., American Concrete Institute, Farmington Hills, MI, 1991, pp. 317-357.
25. Pantelides, C. P.; Hansen, J.; Nadauld, J. D.; and Reaveley, L. D., “Assessment of Reinforced Concrete Building Exterior Joints with Substandard Details,” PEER Report 2002/18, University of California, Berkeley, Berkeley, CA, May 2002, 103 pp.
26. Pantelides, C. P.; Clyde, C.; and Reaveley, L. D., “Performance-Based Evaluation of Reinforced Concrete Building Exterior Joints for Seismic Excitation,” Earthquake Spectra, V. 18, No. 3, 2002, pp. 449-480. doi: 10.1193/1.1510447
27. Hirosawa, M., “Past Experimental Results on Reinforced Concrete Shear Walls and Analysis on Them,” Kenchiku Kenkyu Shiryo, No. 6, Building Research Institute, Ministry of Construction, Tokyo, Japan, 1975, 277 pp.
28. Greifenhagen, C., “Seismic Behavior of Lightly Reinforced Concrete Squat Shear Walls,” PhD thesis, École Polytechnique Fédérale de Lausanne (EPFL), Switzerland, 2006, 164 pp.
29. Hidalgo, P. A.; Ledezma, C. A.; and Jordan, R. M., “Seismic Behavior of Squat Reinforced Concrete Shear Walls,” Earthquake Spectra, V. 18, No. 2, 2002, pp. 287-308. doi: 10.1193/1.1490353
30. Massone, L. M., “RC Wall Shear-Flexure Interaction: Analytical and Experimental Responses,” PhD dissertation, Department of Civil and Environmental Engineering, University of California, Los Angeles, Los Angeles, CA, 2006, 398 pp.
31. Kuang, J. S., and Ho, Y. B., “Seismic Behavior and Ductility of Squat Reinforced Concrete Shear Walls with Nonseismic Detailing,” ACI Structural Journal, V. 105, No. 2, Mar.-Apr. 2008, pp. 225-231.
32. Maier, J., and Thürlimann, B., “Bruchversuche an Stahlbetonscheiben,” Institut für Baustatik und Konstruktion, ETH Zürich, Zürich, Switzerland, 1985, 130 pp.
33. Sato, S.; Ogata, Y.; Yoshizaki, S.; Kanata, K.; Yamaguchi, T.; Nakayama, T.; Inada, Y.; and Kadoriku, J., “Behavior of Shear Wall Using Various Yield Strength of Rebar, Part 1: An Experimental Study,” Proceedings of 10th International Conference on Structural Mechanics in Reactor Technology, Anaheim, CA, H09/01, 1989, pp. 233-238.
34. Li, B., and Xiang, W., “Effective Stiffness of Squat Structural Walls,” Journal of Structural Engineering, ASCE, V. 137, No. 12, 2011, pp. 1470-1479. doi: 10.1061/(ASCE)ST.1943-541X.0000386