Title:
Probabilistic Calibration of Stress-Strain Models for Confined High-Strength Concrete
Author(s):
Bo Yu, Chenghui Qin, Zheng Chen, and Bing Li
Publication:
Structural Journal
Volume:
118
Issue:
5
Appears on pages(s):
161-175
Keywords:
confined concrete; high-strength; peak strain, peak stress; probabilistic calibration; stress-strain curve
DOI:
10.14359/51732826
Date:
9/1/2021
Abstract:
A comprehensive probabilistic calibration of traditional deterministic models for peak stress, peak strain, and stress-strain curves of confined high-strength concrete (HSC) was investigated. The probabilistic models for peak stress and peak strain of confined HSC were first established by combining the Markov chain Monte Carlo (MCMC) method with the Bayesian theory. A probabilistic stress-strain model of confined HSC was then proposed to provide a probabilistic approach to calibrate the confidence level and computational accuracy of four typical deterministic stress-strain models of confined HSC. Analysis results show that the randomness of the stress-strain curve in the ascending branch is not obvious, but that in the descending branch after peak stress is significant. Deterministic stress-strain models can better predict tested stress-strain curves in ascending branches with a greater confidence level than descending branches. The tested stress-strain curves generally fall within the 50% confidence interval of the probabilistic stress-strain model, which implies that the proposed probabilistic stress-strain models can adequately describe the probabilistic characteristic of stress-strain curves of confined HSC.
Related References:
1. Cusson, D., and Paultre, P., “High-Strength Concrete Columns Confined by Rectangular Ties,” Journal of Structural Engineering, ASCE, V. 120, No.. 3, Mar. 1994, pp. 783-804. doi: 10.1061/(ASCE)0733-9445(1994)120:3(783)
2. Li, J.; Yan, X. H.; and Ren, X. D., “Large-Sample Experimental Study on Uniaxial Compressive Behavior of Concrete Under Different Loading Rates,” Journal of Building Structures, V. 37, No. 8, Aug. 2016, pp. 66-75.
3. Ren, X. D.; Liu, K.; Wei, G. T.; and Li, J., “Experimental Study on Mechanical Behavior of Stirrups Confined Concrete Under Loadings at Different Rates,” Journal of Building Materials, V. 38, No. 3, Mar. 2017, pp. 141-150.
4. Fafitis, A., and Shah, S. P., “Lateral Reinforcement for High-Strength Concrete Columns,” ACI Special Publications, V. 87, Sept. 1985, pp. 213-232.
5. Martinez, S. M.; Nilson, A. S.; and Slate, F. O., “Spirally Reinforced High-Strength Concrete Columns,” Journal of Construction Engineering and Management, V. 110, No. 4, Dec. 1984, pp. 533-533.
6. Li, B., “Strength and Ductility of Reinforced Concrete and Frames Constructed Using High-Strength Concretes,” PhD thesis, University of Canterbury, Christchurch, New Zealand, May 1994, 405 pp.
7. Cusson, D., and Paultre, P., “Stress-Strain Model for Confined High-Strength Concrete,” Journal of Structural Engineering, ASCE, V. 121, No. 3, Mar. 1995, pp. 468-477. doi: 10.1061/(ASCE)0733-9445(1995)121:3(468)
8. Razvi, S., and Saatcioglu, M., “Confinement Model for High-Strength Concrete,” Journal of Structural Engineering, ASCE, V. 125, No. 3, Mar. 1999, pp. 281-289. doi: 10.1061/(ASCE)0733-9445(1999)125:3(281)
9. Geyskens, P.; Kiureghian, A. D.; and Monteiro, P., “Bayesian Prediction of Elastic Modulus of Concrete,” Journal of Structural Engineering, ASCE, V. 124, No. 1, Jan. 1998, pp. 89-95. doi: 10.1061/(ASCE)0733-9445(1998)124:1(89)
10. Jackman, S., “Estimation and Inference via Bayesian Simulation: An Introduction to Markov Chain Monte Carlo,” American Journal of Political Science, V. 44, No. 44, Apr. 2000, pp. 375-404. doi: 10.2307/2669318
11. William, K. J., and Warnke, E. P., “Constitutive Model for the Triaxial Behavior of Concrete,” Proceedings of the International Association for Bridge and Structural Engineering, V. 19, 1975, pp. 1-30.
12. Mander, J. B.; Priestley, M. J. N.; and Park, R., “Theoretical Stress-Strain Model for Confined Concrete,” Journal of Structural Engineering, ASCE, V. 114, No. 8, Sept. 1988, pp. 1804-1826. doi: 10.1061/(ASCE)0733-9445(1988)114:8(1804)
13. Nagashima, T.; Sugano, S.; and Kimura, H., “Monotonic Axial Compression Test on Ultra-High-Strength Concrete Tied Columns,” World Conference on Earthquake Engineering, Balkema, Rotterdam, the Netherlands, 1992.
14. Nishiyama, M.; Fukushima, I.; Watanabe, F.; and Muguruma, H., “Axial Loading Test on High-Strength Concrete Prisms Confined by Ordinary And High-Strength Steel,” Proceedings of High Strength Concrete Symposium, 1993.
15. Li, B.; Park, R.; and Tanaka, H., “Stress-Strain Behavior of High-Strength Concrete Confined by Ultra-High- and Normal-Strength Transverse Reinforcements,” ACI Structural Journal, V. 98, No. 3, May-June 2001, pp. 395-406.
16. Razvi, S., and Saatcioglu, M., “Tests of High-Strength Concrete Columns Under Concentric Loading,” Ottawa Carleton Earthquake Engineering Research Centre, Ottawa, ON, Canada, V. 147, Jan. 1996, pp. 96-103.
17. Guan, P.; Wang, Q. X.; and Zhao, G. F., “Study on the Tests of Stress-Strain Relationship of Confined High Strength Concrete,” Industrial Construction, V. 27, No. 11, Dec. 1997, pp. 26-29.
18. Han, B.-S.; Shin, S.-W.; and Bahn, B.-Y., “A Model of Confined Concrete in High-Strength Reinforced Concrete Tied Columns,” Magazine of Concrete Research, V. 55, No. 3, June 2003, pp. 203-214. doi: 10.1680/macr.2003.55.3.203
19. Hong, K.-N.; Akiyama, M.; Yi, S.-T.; and Suzuki, M., “Stress-Strain Behavior of High-Strength Concrete Columns Confined by Low-Volumetric Ratio Rectangular Ties,” Magazine of Concrete Research, V. 58, No. 2, Mar. 2006, pp. 101-115. doi: 10.1680/macr.2006.58.2.101
20. Yi, S.-T.; Yang, E.-I.; and Choi, J.-C., “Effect of Specimen Sizes, Specimen Shapes, and Placement Directions on Compressive Strength of Concrete,” Nuclear Engineering and Design, V. 236, No. 2, Jan. 2006, pp. 115-127. doi: 10.1016/j.nucengdes.2005.08.004
21. Guo, Z. H., Principles of Reinforced Concrete, Tsinghua University Press, Beijing, China, 2014, 607 pp.
22. Kappos, A. J., and Konstantinidis, D.,“Statistical Analysis of Confined High Strength Concrete,” Materials and Structures, V. 32, No. 10, Dec. 1999, pp. 734-748. doi: 10.1007/BF02905070
23. Del Vecchio, C.; Del Zoppo, M.; Di Ludovico, M.; Verderame, G.M.; and Prota, A., “Comparison of Available Shear Strength Models for Non-Conforming Reinforced Concrete Columns,” Engineering Structures, V. 148, Oct. 2017, pp. 312-327. doi: 10.1016/j.engstruct.2017.06.045
24. Saatcioglu, M., and Razvi, S. R., “High-Strength Concrete Columns with Square Sections under Concentric Compression,” Journal of Structural Engineering, ASCE, V. 124, No. 12, Dec. 1998, pp. 1438-1447. doi: 10.1061/(ASCE)0733-9445(1998)124:12(1438)
25. Priestley, M. J. N.; Seible, F.; and Calvi, G. M, Seismic Design and Retrofit of Bridges, John Wiley & Sons, Inc., New York, 1996, 704 pp.