Technical Papers
Jul 27, 2020

Development of Hysteretic Model with Dynamic Effect and Deterioration for Seismic-Performance Analysis of Reinforced Concrete Structures

Publication: Journal of Structural Engineering
Volume 146, Issue 10

Abstract

In this paper, an innovative approach is developed to consider the impacts of dynamic effect and deterioration on the seismic performance analysis of reinforced concrete (RC) frame structures. Firstly, based on the dynamic loading test database of RC column specimens, the predicted models of dynamic modified coefficients (DMCs) are constructed to take into account the impacts of dynamic effect on the yielding and ultimate strength, effective stiffness, and ductility coefficient of RC columns. Secondly, a damage index-based hysteretic model is proposed to reflect both cyclic and in-cycle performance degradation of RC columns under cyclic dynamic loading. Finally, by employing the DMCs into the hysteretic model of RC members, the influences of dynamic effect and deterioration on the seismic behaviors of a RC frame structural model, which is a prototype structure suffering from severe seismic damage during the Yushu earthquake in China, are comprehensively investigated. The superiority of the proposed approach over the traditional method lies in that both the beneficial and adverse impacts of dynamic effect can be considered. Moreover, the effectiveness of the developed models is verified with the dynamic loading experimental observations. By comparing the numerical results of seismic responses between the rate-independent and rate-dependent models, it is found that the dynamic effect can exert dual influences on the structural seismic performance. For the frame models subjected to earthquakes with small intensities, the displacement response and damage degree can be reduced due to the strength and stiffness enhancement of structural members. As for the frame models under large intensity excitations, the structural damage is aggravated and the failure mechanism may be affected owing to the decreased ductility and intensified deterioration of RC members. To provide a more reliable seismic-performance assessment of RC structures, it is suggested that the combined influences of dynamic effect and deterioration should be given an adequate consideration in the further research works.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors would like to acknowledge the financial support from the National Key R&D Program of China (2016YFC0701108), the State Key Program of National Natural Science Foundation of China (51738007), and the National Science Fund for Young Scholars (51808099) for carrying out this research. Meanwhile, we express our sincere thanks to Dr. Wei-Xiao Xu for providing the valuable experimental data of shaking table test conducted at the Key Laboratory of Earthquake Engineering and Engineering Vibration, China Earthquake Administration.

References

ACI (American Concrete Institute). 2011. Building code requirements for structural concrete and commentary. ACI 318-11. Farmington Hills, MI: ACI.
Al-Haddad, M. S. 1995. “Curvature ductility of reinforced concrete beams under low and high strain rates.” ACI Struct. J. 92 (5): 526–534.
Altugerberik, M. 2011. “Importance of degrading behavior for seismic performance evaluation of simple structural systems.” J. Earthquake Eng. 15 (1): 32–49. https://doi.org/10.1080/13632461003642421.
Asprone, D., R. Frascadore, M. D. Ludovico, A. Prota, and G. Manfredi. 2012. “Influence of strain rate on the seismic response of RC structures.” Eng. Struct. 35 (Feb): 29–36. https://doi.org/10.1016/j.engstruct.2011.10.025.
Baber, T. T., and M. N. Noori. 1985. “Random vibration of degrading, pinching systems.” J. Eng. Mech. 111 (8): 1010–1026. https://doi.org/10.1061/(ASCE)0733-9399(1985)111:8(1010).
Barpi, F. 2004. “Impact behaviour of concrete: A computational approach.” Eng. Fract. Mech. 71 (15): 2197–2213. https://doi.org/10.1016/j.engfracmech.2003.11.007.
Bischoff, P. H., and S. H. Perry. 1991. “Compressive behaviour of concrete at high strain rates.” Mater. Struct. 24 (6): 425–450. https://doi.org/10.1007/BF02472016.
Cadoni, E., M. Dotta, D. Forni, and N. Tesio. 2015. “High strain rate behaviour in tension of steel B500A reinforcing bar.” Mater. Struct. 48 (6): 1803–1813. https://doi.org/10.1617/s11527-014-0273-z.
Chao, S. H., and C. H. Loh. 2009. “A biaxial hysteretic model for a structural system incorporating strength deterioration and pinching phenomena.” Int. J. Nonlinear Mech. 44 (7): 745–756. https://doi.org/10.1016/j.ijnonlinmec.2009.04.005.
Chen, H. B., Y. P. Su, J. W. Xing, and Y. M. Zhang. 2011. “Experimental research on constitute relation of concrete under uniaxial tension and compression with different strain rate.” In Vols. 250–253 of Advanced materials research, 3279–3283. Zürich, Switzerland: Trans Tech Publication.
Chen, X., S. Wu, J. Zhou, Y. Chen, and A. Qin. 2013. “Effect of testing method and strain rate on stress-strain behavior of concrete.” J. Mater. Civ. Eng. 25 (11): 1752–1761. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000732.
Clough, R. W., and S. B. Johnston. 1966. “Effect of stiffness degradation on earthquake ductility requirements.” In Proc., Japan Earthquake Engineering Symp. Berkeley, CA: Dept. of Civil Engineering, Univ. of California, Berkeley.
Clough, R. W., and J. Penzien. 1993. Dynamics of structures. 2nd ed. New York: McGraw Hill Inc.
Eibl, J., and B. Schmidt-Hurtienne. 1999. “Strain-rate-sensitive constitutive law for concrete.” J. Eng. Mech. 125 (12): 1411–1420. https://doi.org/10.1061/(ASCE)0733-9399(1999)125:12(1411).
Elwood, K. J., and M. O. Eberhard. 2009. “Effective stiffness of reinforced concrete columns.” ACI Struct. J. 106 (4): 476–484.
Fardis, M. N., and D. E. Biskinis. 2003. “Deformation capacity of RC members, as controlled by flexure or shear.” In Proc., Otani Symp. Tokyo: Dept. of Arhitecture, Univ. of Tokyo.
Fédération Internationale du Béton. 2013. Vol. 1. of fib model code for concrete structures 2010. Berlin: Ernst & Sohn.
FEMA. 2000. FEMA 356: Prestandard and commentary for the seismic rehabilitatio of buildings. Washington, DC: Applied Technology Council.
Feng, L., D. Yu, X. Kuang, and L. Le. 2016. “Strain rate behavior in tension of reinforcing steels HPB235, HRB335, HRB400, and HRB500.” Materials 9 (12): 1013. https://doi.org/10.3390/ma9121013.
Filiatrault, A., and M. Holleran. 2001. “Stress-strain behavior of reinforcing steel and concrete under seismic strain rates and low temperatures.” Mater. Struct. 34 (4): 235–239. https://doi.org/10.1007/BF02480594.
Fu, H. C., M. A. Erki, and M. Seckin. 1991. “Review of effects of loading rate on reinforced concrete.” J. Struct. Eng. 117 (12): 3660–3679. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:12(3660).
Galal, E. M., and A. Ghobarah. 2003. “Flexural and shear hysteretic behaviour of reinforced concrete columns with variable axial load.” Eng. Struct. 25 (11): 1353–1367. https://doi.org/10.1016/S0141-0296(03)00111-1.
Georgin, J. F., and J. M. Reynouard. 2003. “Modeling of structures subjected to impact: Concrete behavior under high strain rate.” Cem. Concr. Compos. 25 (1): 131–143. https://doi.org/10.1016/S0958-9465(01)00060-9.
Ghannoum, W., V. Saouma, G. Haussmann, K. Polkinghorne, M. Eck, and D. H. Kang. 2012. “Experimental investigations of loading rate effects in reinforced concrete columns.” J. Struct. Eng. 138 (8): 1032–1041. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000540.
Grote, D. L., S. W. Park, and M. Zhou. 2001. “Dynamic behavior of concrete at high strain rates and pressures: I. Experimental characterization.” Int. J. Impact Eng. 25 (9): 869–886. https://doi.org/10.1016/S0734-743X(01)00020-3.
Gutierrez, E., G. Magonette, and G. Verzeletti. 1993. “Experimental studies of loading rate effects on reinforced concrete columns.” J. Eng. Mech. 119 (5): 887–904. https://doi.org/10.1061/(ASCE)0733-9399(1993)119:5(887).
Haselton, C. B., A. B. Liel, L. S. Taylor, and G. G. Deierlein. 2008. Beam-column element model calibrated for predicting flexural response leading to global collapse of RC frame buildings. Berkeley, CA: Pacific Engineering Research Center, Univ. of California.
Haselton, C. B., A. B. Liel, S. C. Taylor-Lange, and G. G. Deierlein. 2016. “Calibration of model to simulate response of reinforced concrete beam-columns to collapse.” ACI Struct. J. 113 (6): 1141–1152. https://doi.org/10.14359/51689245.
Ibarra, L. F., R. A. Medina, and H. Krawinkler. 2010. “Hysteretic models that incorporate strength and stiffness deterioration.” Earthquake Eng. Struct. Dyn. 34 (12): 1489–1511. https://doi.org/10.1002/eqe.495.
Iribarren, B. S., P. Berke, P. Bouillard, J. Vantomme, and T. J. Massart. 2011. “Investigation of the influence of design and material parameters in the progressive collapse analysis of RC structures.” Eng. Struct. 33 (10): 2805–2820. https://doi.org/10.1016/j.engstruct.2011.06.005.
Kottari, A. K., A. E. Charalampakis, and V. K. Koumousis. 2014. “A consistent degrading Bouc-Wen model.” Eng. Struct. 60 (Feb): 235–240. https://doi.org/10.1016/j.engstruct.2013.12.025.
Krawinkler, H., F. Zareian, D. G. Lignos, and L. F. Ibarra. 2010. “Significance of modeling deterioration in structural components for predicting the collapse potential of structures under earthquake excitations.” In Advances in performance-based earthquake engineering. Dordrecht, Netherlands: Springer.
Kumar, R., P. Gardoni, and M. Sanchez-Silva. 2010. “Effect of cumulative seismic damage and corrosion on life-cycle cost of reinforced concrete bridges.” Earthquake Eng. Struct. Dyn. 38 (7): 887–905. https://doi.org/10.1002/eqe.873.
Kunnath, S. K., A. M. Reinhorn, and R. Lobo. 1992. IDARC version 3.0: A program for the inelastic damage analysis of reinforced concrete structures. Buffalo, NY: State Univ. of New York at Buffalo.
Leborgne, M. R., and W. M. Ghannoum. 2014. “Calibrated analytical element for lateral-strength degradation of reinforced concrete columns.” Eng. Struct. 81 (Dec): 35–48. https://doi.org/10.1016/j.engstruct.2014.09.030.
Lehman, D. E., and J. P. Moehle. 2000. Performance-based seismic design of well-confined concrete columns. Berkeley, CA: Pacific Engineering Research Center, Univ. of California.
Li, B., R. Park, and H. Tanaka. 2000. “Constitutive behavior of high-strength concrete under dynamic loads.” ACI Struct. J. 97 (4): 619–629.
Li, M., and H. N. Li. 2011. “Effects of strain rate on reinforced concrete beam.” In Vols. 243–249 of Advanced materials research, 4033–4036. Zürich, Switzerland: Trans Tech Publications Ltd.
Li, M., and H. N. Li. 2012. “Effects of strain rate on reinforced concrete structure under seismic loading.” Adv. Struct. Eng. 15 (3): 461–475. https://doi.org/10.1260/1369-4332.15.3.461.
Li, R. H., H. N. Li, and C. Li. 2018. “Seismic performance assessment of RC Frame structures subjected to far-field and near-field ground motions considering strain rate effect.” Int. J. Struct. Stab. Dyn. 18 (10): 1850127. https://doi.org/10.1142/S0219455418501274.
Li, R. H., H. N. Li, and C. Li. 2019. “Dynamic modified model for RC columns based on experimental observations and Bayesian updating method.” J. Eng. Mech. 145 (3): 04019005. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001570.
Lignos, D. G., and H. Krawinkler. 2013. “Development and utilization of structural component databases for performance-based earthquake engineering.” J. Struct. Eng. 139 (8): 1382–1394. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000646.
Liu, K. Y., W. Witarto, and K. C. Chang. 2014. “Composed analytical models for seismic assessment of reinforced concrete bridge columns.” Earthquake Eng. Struct. Dyn. 44 (2): 265–281. https://doi.org/10.1002/eqe.2470.
Lodhi, M. S., and H. Sezen. 2012. “Estimation of monotonic behavior of reinforced concrete columns considering shear-flexure-axial load interaction.” Earthquake Eng. Struct. Dyn. 41 (15): 2159–2175. https://doi.org/10.1002/eqe.2180.
Malvar, L. J., and J. E. Crawford. 1998. “Dynamic increase factors for concrete.” In Proc., 28th DDESB Seminar. Port Hueneme, CA: Naval Facilities Engineering Service Center.
Otani, S., T. Kaneko, and H. Shiohara. 2003. Strain rate effect on performance of reinforced concrete members. Kajima, Japan: Kajima Technical Research Institute.
Panagiotakos, T. B., and M. N. Fardis. 2001. “Deformations of reinforced concrete members at yielding and ultimate.” ACI Struct. J. 98 (2): 135–148.
Pankaj, P., and E. Lin. 2005. “Material modelling in the seismic response analysis for the design of RC framed structures.” Eng. Struct. 27 (7): 1014–1023. https://doi.org/10.1016/j.engstruct.2005.02.003.
Park, R. 1988. “State of the art report ductility evaluation from laboratory and analytical testing.” In Proc., 9th World Conf. on Earthquake Engineering. Tokyo: International Association for Earthquake Engineering.
Park, Y. J., and H. S. Ang. 1985. “Mechanistic seismic damage model for reinforced concrete.” J. Struct. Eng. 111 (4): 722–739. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:4(722).
Park, Y. J., A. M. Reinhorn, and S. K. Kunnath. 1987. IDARC: Inelastic damage analysis of reinforced concrete frame shear-wall structures. Buffalo, NY: State Univ. of New York at Buffalo.
Paulay, T., and M. N. Priestley. 1992. Seismic design of reinforced concrete and masonry buildings. New York: Wiley.
Xiao, S. Y. 2002. “Rate-dependent constitutive model of concrete and its application to dynamic response of arch dams.” [In Chinese.] Ph.D. dissertation, Dalian Univ. of Technology.
Ray, T., and A. M. Reinhorn. 2014. “Enhanced smooth hysteretic model with degrading properties.” J. Struct. Eng. 140 (1): 04013028. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000798.
Ren, X., and J. Li. 2013. “A unified dynamic model for concrete considering viscoplasticity and rate-dependent.” Int. J. Damage Mech. 22 (4): 530–555. https://doi.org/10.1177/1056789512455968.
Rodrigues, H., X. Romão, A. Andrade-Campos, H. Varum, A. Arêde, and A. G. Costa. 2012. “Simplified hysteretic model for the representation of the biaxial bending response of RC columns.” Eng. Struct. 44 (6): 146–158. https://doi.org/10.1016/j.engstruct.2012.05.050.
Rossi, P., and F. Toutlemonde. 1996. “Effect of loading rate on the tensile behaviour of concrete: Description of the physical mechanisms.” Mater. Struct. 29 (2): 116–118. https://doi.org/10.1007/BF02486201.
Sivaselvan, M. V., and A. M. Reinhorn. 2000. “Hysteretic models for deteriorating inelastic structures.” J. Eng. Mech. 126 (11): 633–640. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:6(633).
Song, J. K., and J. Pincheira. 2000. “Spectral displacement demands of stiffness and strength-degrading systems.” Earthquake Spectra 16 (4): 817–851. https://doi.org/10.1193/1.1586141.
Soroushian, P., and K. B. Choi. 1987. “Steel mechanical properties at different strain rates.” J. Struct. Eng. 113 (4): 663–672. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:4(663).
Takeda, T., M. A. Sozen, and N. N. Nielson. 1970. “Reinforced concrete response to simulated earthquake.” J. Struct. Div. 96 (12): 2557–2573.
Wang, C. Q., J. Z. Xiao, and Z. P. Sun. 2016. “Seismic analysis on recycled aggregate concrete frame considering strain rate effect.” Int. J. Concr. Struct. Mater. 10 (3): 307–323. https://doi.org/10.1007/s40069-016-0149-4.
Wang, D. B., H. N. Li, and G. Li. 2013a. “Experimental study on dynamic mechanical properties of reinforced concrete column.” J. Reinf. Plast. Compos. 32 (23): 1793–1806. https://doi.org/10.1177/0731684413492451.
Wang, D. B., H. N. Li, and G. Li. 2013b. “Experimental tests on reinforced concrete columns under multi-dimensional dynamic loadings.” Constr. Build. Mater. 47 (5): 1167–1181. https://doi.org/10.1016/j.conbuildmat.2013.06.003.
Wen, Y. K. 1976. “Method for random vibration of hysteretic system.” J. Eng. Mech. Div. 102 (2): 249–263.
Witarto, W., L. Lu, R. H. Roberts, Y. L. Mo, and X. Lu. 2014. “Shear-critical reinforced concrete columns under various loading rates.” Front. Struct. Civ. Eng. 8 (4): 362–372. https://doi.org/10.1007/s11709-014-0083-y.
Xu, W. X. 2014. “Study on seismic performance and design of stepped wall-frame structures.” [In Chinese.] Ph.D. dissertation, Institute of Engineering Mechanics, China Earthquake Administration.
Zhang, H., and H. N. Li. 2011. “Dynamic analysis of reinforced concrete structure with strain rate effect.” Supplement, Mater. Res. Innovations 15 (S1): s213–s216. https://doi.org/10.1179/143307511X12858957673356.
Zhang, H., H. N. Li, C. Li, and G. W. Cao. 2018. “Experimental and numerical investigations on seismic response of reinforced concrete structures considering strain rate effect.” Constr. Build. Mater. 173 (10): 672–686. https://doi.org/10.1016/j.conbuildmat.2018.04.085.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 146Issue 10October 2020

History

Received: Dec 31, 2018
Accepted: Mar 24, 2020
Published online: Jul 27, 2020
Published in print: Oct 1, 2020
Discussion open until: Dec 27, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Hong-Nan Li, F.ASCE [email protected]
Professor, State Key Laboratory of Coastal and Offshore Engineering, Faculty of Infrastructure Engineering, Dalian Univ. of Technology, Dalian, Liaoning 116024, China; Professor, School of Civil Engineering, Shenyang Jianzhu Univ., Shenyang, Liaoning 110168, China. Email: [email protected]
Ph.D. Candidate, State Key Laboratory of Coastal and Offshore Engineering, Faculty of Infrastructure Engineering, Dalian Univ. of Technology, Dalian, Liaoning 116024, China. Email: [email protected]
Associate Professor, State Key Laboratory of Coastal and Offshore Engineering, Faculty of Infrastructure Engineering, Dalian Univ. of Technology, Dalian, Liaoning 116024, China (corresponding author). Email: [email protected]
De-Bin Wang [email protected]
Associate Professor, School of Civil Engineering, Dalian Jiaotong Univ., Dalian, Liaoning 110168, China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share