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Technical Papers
Jul 16, 2024

Impact of Long-Duration Earthquakes on Successive Earthquake-Tsunami Fragilities for Reinforced Concrete Frame Archetypes

Publication: Journal of Structural Engineering
Volume 150, Issue 10

Abstract

This study quantifies the effects of long-duration earthquakes on the behavior of reinforced concrete (RC) buildings subjected to successive earthquake-tsunamis through the development of fragility surfaces. The suite is comprised of both ductile and nonductile systems, representing a portfolio of RC structures that could be found in a (coastal) community. Previous research has shown that long-duration earthquakes can significantly influence the structural responses and even the collapse behavior of building systems. Earthquakes with large moment magnitudes that produce tsunamis are often long duration events, yet ground motion duration has not been fully considered when generating tsunami fragility curves or successive earthquake-tsunami fragility surfaces. This study incorporates earthquake loading through a nonlinear time history analysis (NLTHA) and subsequent tsunami loading with a nonlinear static procedure. Detailed probabilistic structural models are subjected to both long-duration and regular-duration earthquakes through the NLTHA phase of the successive simulation to explore the possible impact of long-duration earthquakes on earthquake-tsunami fragility surfaces used to represent the behavior of these RC buildings. Results show that failure probabilities from the fragility surfaces are increased by up to 40% in some cases, with low- to mid-rise RC structures (ductile and nonductile; up to 8 stories) being adversely affected by long-duration earthquakes. Furthermore, this study reports the governing parameters of scalar and vector-valued fragility functions in the proposed RC portfolio exposed to long-duration earthquakes and tsunami hazards. These fragility surfaces can be useful in developing community-level models in risk-based or resilience-based decision-support for disaster mitigation.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

The Center for Risk-Based Community Resilience Planning is a NIST-funded Center of Excellence; the Center is funded through a cooperative agreement between the US National Institute of Standards and Technology and Colorado State University (NIST Financial Assistance Award Nos. 70NANB15H044 and 70NANB20H008). The views expressed are those of the presenter and may not represent the official position of the National Institute of Standards and Technology or the US Department of Commerce.

References

ACI (American Concrete Institute). 2002. Building code requirements for structural concrete (ACI 318-02) and commentary. ACI 318R-02. Farmington Hills, MI: ACI.
Afshari, K., and J. P. Stewart. 2016. “Physically parameterized prediction equations for significant duration in active crustal regions.” Earthquake Spectra 32 (4): 2057–2081. https://doi.org/10.1193/063015EQS106M.
Alam, M. S., A. R. Barbosa, M. H. Scott, D. T. Cox, and J. W. van de Lindt. 2018. “Development of physics-based tsunami fragility functions considering structural member failures.” J. Struct. Eng. 144 (3): 04017221. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001953.
Alam, M. S., A. R. Barbosa, M. H. Scott, D. T. Cox, and J. W. van de Lindt. 2019. “Multi-hazard earthquake-tsunami structural fragility assessment framework.” In Proc., 13th Int. Conf. on Applications of Statistics and Probability in Civil Engineering (ICASP13), 1318–1325. Reston, VA: ASCE. https://doi.org/10.22725/ICASP13.244.
Altoontash, A. 2004. Simulation and damage models for performance assessment of reinforced concrete beam-column joints. Stanford, CA: Stanford Univ.
Ando, M., and M. Nakamura. 2013. “Seismological evidence for a tsunami earthquake recorded four centuries ago on historical documents.” Geophys. J. Int. 195 (2): 1088–1101. https://doi.org/10.1093/gji/ggt270.
ASCE. 2002. Minimum design loads for buildings and other structures. ASCE/SEI 7-02. Reston, VA: ASCE.
ASCE. 2022. Minimum design loads for buildings and other structures. ASCE/SEI 7-22. Reston, VA: ASCE.
ATC (Applied Technology Council). 2017. Guidelines for nonlinear structural analysis and design of buildings. Part IIb—Reinforced concrete moment frames. NIST GCR 17-917-46v3. Gaithersburg, MD: NIST.
Attary, N., V. U. Unnikrishnan, J. W. van de Lindt, D. T. Cox, and A. R. Barbosa. 2017a. “Performance-based tsunami engineering methodology for risk assessment of structures.” Eng. Struct. 141 (Jun): 676–686. https://doi.org/10.1016/j.engstruct.2017.03.071.
Attary, N., J. W. van de Lindt, V. U. Unnikrishnan, A. R. Barbosa, and D. T. Cox. 2017b. “Methodology for development of physics-based tsunami fragilities.” J. Struct. Eng. 143 (5): 04016223. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001715.
Attary, N., J. W. Van De Lindt, A. R. Barbosa, D. T. Cox, and V. U. Unnikrishnan. 2021. “Performance-based tsunami engineering for risk assessment of structures subjected to multi-hazards: Tsunami following earthquake.” J. Earthquake Eng. 25 (10): 2065–2084. https://doi.org/10.1080/13632469.2019.1616335.
Baker, J. W. 2005. Vector-valued ground motion intensity measures for probabilistic seismic demand analysis. Stanford, CA: Stanford Univ.
Baker, J. W. 2015. “Efficient analytical fragility function fitting using dynamic structural analysis.” Earthquake Spectra 31 (1): 579–599. https://doi.org/10.1193/021113EQS025M.
Bandyopadhyay, K. K., C. H. Hofmayer, M. K. Kassir, and S. E. Pepper. 1990. Seismic fragility of nuclear power plant components (Phase II). New York: Brookhaven National Lab. https://doi.org/10.2172/7252519.
Barbosa, A. R., F. L. A. Ribeiro, and L. A. C. Neves. 2017. “Influence of earthquake ground-motion duration on damage estimation: Application to steel moment resisting frames.” Earthquake Eng. Struct. Dyn. 46 (1): 27–49. https://doi.org/10.1002/eqe.2769.
Belejo, A., A. R. Barbosa, and R. Bento. 2017. “Influence of ground motion duration on damage index-based fragility assessment of a plan-asymmetric non-ductile reinforced concrete building.” Eng. Struct. 151 (Nov): 682–703. https://doi.org/10.1016/j.engstruct.2017.08.042.
Belliazzi, S., G. P. Lignola, M. Di Ludovico, and A. Prota. 2021. “Preliminary tsunami analytical fragility functions proposal for Italian coastal residential masonry buildings.” Structures 31 (Jun): 68–79. https://doi.org/10.1016/j.istruc.2021.01.059.
Biskinis, D. E., G. K. Roupakias, and M. N. Fardis. 2004. “Degradation of shear strength of reinforced concrete members with inelastic cyclic displacements.” Struct. J. 101 (6): 773–783. https://doi.org/10.14359/13452.
Bommer, J. J., G. Magenes, J. Hancock, and P. Penazzo. 2004. “The influence of strong-motion duration on the seismic response of masonry structures.” Bull. Earthquake Eng. 2 (1): 1–26. https://doi.org/10.1023/B:BEEE.0000038948.95616.bf.
Bommer, J. J., and A. Martínez-Pereira. 1999. “The effective duration of earthquake strong motion.” J. Earthquake Eng. 3 (2): 127–172. https://doi.org/10.1080/13632469909350343.
Carey, T. J., H. B. Mason, A. R. Barbosa, and M. H. Scott. 2019. “Multihazard earthquake and tsunami effects on soil–foundation–bridge systems.” J. Bridge Eng. 24 (4): 04019004. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001353.
Carvajal, M., M. Cisternas, A. Gubler, P. A. Catalán, P. Winckler, and R. L. Wesson. 2017. “Reexamination of the magnitudes for the 1906 and 1922 Chilean earthquakes using Japanese tsunami amplitudes: Implications for source depth constraints.” J. Geophys. Res. Solid Earth 122 (1): 4–17. https://doi.org/10.1002/2016JB013269.
Celik, O. C., and B. R. Ellingwood. 2008. “Modeling beam-column joints in fragility assessment of gravity load designed reinforced concrete frames.” J. Earthquake Eng. 12 (3): 357–381. https://doi.org/10.1080/13632460701457215.
Chandramohan, R., J. W. Baker, and G. G. Deierlein. 2016. “Quantifying the influence of ground motion duration on structural collapse capacity using spectrally equivalent records.” Earthquake Spectra 32 (2): 927–950. https://doi.org/10.1193/122813eqs298mr2.
Chen, L., C. Huang, H. Chen, and Z. Zheng. 2022. “Seismic fragility models of a bridge system based on copula method.” Earthquake Spectra 38 (2): 1417–1437. https://doi.org/10.1177/87552930211052573.
Chua, C. T., et al. 2021. “Tsunami damage to ports: Cataloguing damage to create fragility functions from the 2011 Tohoku event.” Nat. Hazards Earth Syst. Sci. 21 (6): 1887–1908. https://doi.org/10.5194/nhess-21-1887-2021.
Ellingwood, B. 1980. Development of a probability based load criterion for American National Standard A58. Gaithersburg, MD: National Bureau of Standards.
Fardis, M. N., and D. Biskinis. 2003. “Deformation capacity of RC members, as controlled by flexure or shear.” In Proc., Int. Symp. Honoring Shunsuke Otani on Performance-based Engineering for Earthquake Resistant Reinforced Concrete Structures, 511–530. Tokyo: Univ. of Tokyo.
FEMA. 2011. “FEMA P-695, quantification of building seismic performance factors—Applied technology council online store.” Accessed November 30, 2009. https://store.atcouncil.org/index.php?dispatch=products.view&product_id=210.
FEMA. 2020. HAZUS-MH 4.2 technical manual. Washington, DC: FEMA.
Frankel, A., E. Wirth, and N. Marafi. 2018. The M9 project ground motions. Austin, TX: Texas Advanced Computing Center. https://doi.org/10.17603/DS2WM3W.
Hancock, J., and J. J. Bommer. 2007. “Using spectral matched records to explore the influence of strong-motion duration on inelastic structural response.” Soil Dyn. Earthquake Eng. 27 (4): 291–299. https://doi.org/10.1016/j.soildyn.2006.09.004.
Harati, M., M. Mashayekhi, M. Ashoori Barmchi, and H. Estekanchi. 2019. “Influence of ground motion duration on the structural response at multiple seismic intensity levels.” Numer. Methods Civ. Eng. 3 (4): 10–23. https://doi.org/10.29252/nmce.3.4.10.
Harati, M., M. Mashayekhi, and H. Estekanchi. 2020. “Correlation of ground motion duration with its intensity metrics: A simulation based approach.” J. Soft Comput. Civ. Eng. 4 (3): 17–39. https://doi.org/10.22115/scce.2020.227576.1207.
Harati, M., M. Mashayekhi, H. Mohammadnezhad, H. Jaberi, and H. E. Estekanchi. 2021. “On the reduction of the number of required motions in the dynamic analysis using a refined spectral matching.” Earthquakes Struct. 21 (4): 425–444. https://doi.org/10.12989/eas.2021.21.4.425.
Harati, M., and J. W. van de Lindt. 2024. “Methodology to generate earthquake-tsunami fragility surfaces for community resilience modeling.” Eng. Struct. 305 (Apr): 117700. https://doi.org/10.1016/j.engstruct.2024.117700.
Haselton, C. B. 2006. “Assessing seismic collapse safety of modern reinforced concrete moment frame buildings.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Stanford Univ.
Haselton, C. B., C. A. Goulet, J. Mitrani-Reiser, J. L. Beck, G. G. Deierlein, K. A. Porter, J. P. Stewart, and E. Taciroglu. 2008. An assessment to benchmark the seismic performance of a code-conforming reinforced concrete moment-frame building. Berkeley, CA: Univ. of California.
Haselton, C. B., A. B. Liel, G. G. Deierlein, B. S. Dean, and J. H. Chou. 2011. “Seismic collapse safety of reinforced concrete buildings. I: Assessment of ductile moment frames.” J. Struct. Eng. 137 (4): 481–491. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000318.
Hashimoto, T., T. Honda, and Y. Oda. 2023. “Study on the effect of density change due to suspended fine sediment on tsunami force.” In Proc., 33rd Int. Ocean and Polar Engineering Conf. Cupertino, CA: International Society of Offshore and Polar Engineers.
Ibarra, L. F., and H. Krawinkler. 2005. Global collapse of frame structures under seismic excitations. Berkeley, CA: Pacific Earthquake Engineering Research Center.
Ibarra, L. F., R. A. Medina, and H. Krawinkler. 2005. “Hysteretic models that incorporate strength and stiffness deterioration.” Earthquake Eng. Struct. Dyn. 34 (12): 1489–1511. https://doi.org/10.1002/eqe.495.
Jalayer, F., and C. A. Cornell. 2009. “Alternative non-linear demand estimation methods for probability-based seismic assessments.” Earthquake Eng. Struct. Dyn. 38 (8): 951–972. https://doi.org/10.1002/eqe.876.
Kajitani, Y., S. E. Chang, and H. Tatano. 2013. “Economic impacts of the 2011 Tohoku-Oki earthquake and tsunami.” Supplement, Earthquake Spectra 29 (1_suppl): 457–478. https://doi.org/10.1193/1.4000108.
Kempton, J. J., and J. P. Stewart. 2006. “Prediction equations for significant duration of earthquake ground motions considering site and near-source effects.” Earthquake Spectra 22 (4): 985–1013. https://doi.org/10.1193/1.2358175.
Kern, S. E., G. Xie, J. L. White, and T. D. Egan. 2004. “A response surface analysis of propofol–remifentanil pharmacodynamic interaction in volunteers.” Anesthesiology 100 (6): 1373–1381. https://doi.org/10.1097/00000542-200406000-00007.
Koliou, M., J. W. van de Lindt, T. P. McAllister, B. R. Ellingwood, M. Dillard, and H. Cutler. 2020. “State of the research in community resilience: Progress and challenges.” Sustainable Resilient Infrastruct. 5 (3): 131–151. https://doi.org/10.1080/23789689.2017.1418547.
Li, T., Y. Yang, K. Dai, Q. Ge, and J. Wang. 2022. “Influence of ground motion duration on seismic performance of RC frame isolated by high damping rubber bearings.” Eng. Struct. 262 (Jul): 114398. https://doi.org/10.1016/j.engstruct.2022.114398.
Li, Y., R. Song, and J. W. Van De Lindt. 2014. “Collapse fragility of steel structures subjected to earthquake mainshock-aftershock sequences.” J. Struct. Eng. 140 (12): 04014095. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001019.
Liel, A., and G. Deierlein. 2008. Assessing the collapse risk of California’s existing reinforced concrete frame structures: Metrics for seismic safety decisions. Stanford, CA: Stanford Univ.
Liel, A. B., C. B. Haselton, and G. G. Deierlein. 2011. “Seismic collapse safety of reinforced concrete buildings. II: Comparative assessment of nonductile and ductile moment frames.” J. Struct. Eng. 137 (4): 492–502. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000275.
Lignos, D. G., and H. Krawinkler. 2011. “Deterioration modeling of steel components in support of collapse prediction of steel moment frames under earthquake loading.” J. Struct. Eng. 137 (11): 1291–1302. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000376.
Mashayekhi, M., M. Harati, M. Ashoori Barmchi, and H. E. Estekanchi. 2019. “Introducing a response-based duration metric and its correlation with structural damages.” Bull. Earthquake Eng. 17 (11): 5987–6008. https://doi.org/10.1007/s10518-019-00716-y.
Mashayekhi, M., M. Harati, A. Darzi, and H. E. Estekanchi. 2020. “Incorporation of strong motion duration in incremental-based seismic assessments.” Eng. Struct. 223 (Nov): 111144. https://doi.org/10.1016/j.engstruct.2020.111144.
Medina, S., J. Lizarazo-Marriaga, M. Estrada, S. Koshimura, E. Mas, and B. Adriano. 2019. “Tsunami analytical fragility curves for the Colombian Pacific coast: A reinforced concrete building example.” Eng. Struct. 196 (Oct): 109309. https://doi.org/10.1016/j.engstruct.2019.109309.
Panagiotakos, T. B., and M. N. Fardis. 2001. “Deformations of reinforced concrete members at yielding and ultimate.” Struct. J. 98 (2): 135–148. https://doi.org/10.14359/10181.
Pang, Y., and X. Wang. 2021. “Cloud-IDA-MSA conversion of fragility curves for efficient and high-fidelity resilience assessment.” J. Struct. Eng. 147 (5): 04021049. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002998.
Park, S., J. W. van de Lindt, D. Cox, R. Gupta, and F. Aguiniga. 2012. “Successive earthquake-tsunami analysis to develop collapse fragilities.” J. Earthquake Eng. 16 (6): 851–863. https://doi.org/10.1080/13632469.2012.685209.
Park, Y., and A. 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).
Petrone, C., T. Rossetto, M. Baiguera, C. D. la Barra Bustamante, and I. Ioannou. 2020. “Fragility functions for a reinforced concrete structure subjected to earthquake and tsunami in sequence.” Eng. Struct. 205 (Feb): 110120. https://doi.org/10.1016/j.engstruct.2019.110120.
Petrone, C., T. Rossetto, and K. Goda. 2017. “Fragility assessment of a RC structure under tsunami actions via nonlinear static and dynamic analyses.” Eng. Struct. 136 (Apr): 36–53. https://doi.org/10.1016/j.engstruct.2017.01.013.
Porter, K. A., J. L. Beck, and R. V. Shaikhutdinov. 2002. “Sensitivity of building loss estimates to major uncertain variables.” Earthquake Spectra 18 (4): 719–743. https://doi.org/10.1193/1.1516201.
Rossetto, T., C. De la Barra, C. Petrone, J. C. De la Llera, J. Vásquez, and M. Baiguera. 2019. “Comparative assessment of nonlinear static and dynamic methods for analysing building response under sequential earthquake and tsunami.” Earthquake Eng. Struct. Dyn. 48 (8): 867–887. https://doi.org/10.1002/eqe.3167.
Salmon, M. W., S. A. Short, and R. P. Kennedy. 1992. Strong motion duration and earthquake magnitude relationships. Washington, DC: US Department of Energy.
Su, J., D. Wu, and X. Wang. 2023. “Influence of ground motion duration on seismic behavior of RC bridge piers: The role of low-cycle fatigue damage of reinforcing bars.” Eng. Struct. 279 (Mar): 115587. https://doi.org/10.1016/j.engstruct.2023.115587.
Suppasri, A., S. Koshimura, and F. Imamura. 2011. “Developing tsunami fragility curves based on the satellite remote sensing and the numerical modeling of the 2004 Indian Ocean tsunami in Thailand.” Nat. Hazards Earth Syst. Sci. 11 (1): 173–189. https://doi.org/10.5194/nhess-11-173-2011.
Todorov, B., and A. H. M. M. Billah. 2021. “Seismic fragility and damage assessment of reinforced concrete bridge pier under long-duration, near-fault, and far-field ground motions.” Structures 31 (Jun): 671–685. https://doi.org/10.1016/j.istruc.2021.02.019.
Wang, J., and B. Li. 2022. “Seismic fragility analysis of CFT frames with buckling-restrained braces and steel braces under long- and short-duration ground motions.” Structures 39 (May): 848–865. https://doi.org/10.1016/j.istruc.2022.03.078.
Wang, P.-T., A. E. Naaman, and S. P. Shah. 1978. “High-strength concrete in ultimate strength design.” J. Struct. Div. 104 (11): 1761–1773. https://doi.org/10.1061/JSDEAG.0005033.
Wang, W., J. W. van de Lindt, N. Rosenheim, H. Cutler, B. Hartman, J. Sung Lee, and D. Calderon. 2021. “Effect of residential building wind retrofits on social and economic community-level resilience metrics.” J. Infrastruct. Syst. 27 (4): 04021034. https://doi.org/10.1061/(ASCE)IS.1943-555X.0000642.
Watson, M., Y. Xiao, J. Helgeson, and M. Dillard. 2020. “Importance of households in business disaster recovery.” Nat. Hazard. Rev. 21 (4): 05020008. https://doi.org/10.1061/(ASCE)NH.1527-6996.0000393.
Xu, B., X. Wang, R. Pang, and Y. Zhou. 2018. “Influence of strong motion duration on the seismic performance of high CFRDs based on elastoplastic analysis.” Soil Dyn. Earthquake Eng. 114 (Nov): 438–447. https://doi.org/10.1016/j.soildyn.2018.08.004.
Xu, J.-G., G. Wu, D.-C. Feng, and J.-J. Fan. 2021. “Probabilistic multi-hazard fragility analysis of RC bridges under earthquake-tsunami sequential events.” Eng. Struct. 238 (Jul): 112250. https://doi.org/10.1016/j.engstruct.2021.112250.
Zhang, S., G. Wang, B. Pang, and C. Du. 2013. “The effects of strong motion duration on the dynamic response and accumulated damage of concrete gravity dams.” Soil Dyn. Earthquake Eng. 45 (Feb): 112–124. https://doi.org/10.1016/j.soildyn.2012.11.011.
Zhu, M. 2021. “OpenSeesPy documentation.” Accessed August 21, 2021. https://openseespydoc.readthedocs.io/_/downloads/en/stable/pdf/.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 150Issue 10October 2024

History

Received: Jul 21, 2023
Accepted: Apr 5, 2024
Published online: Jul 16, 2024
Published in print: Oct 1, 2024
Discussion open until: Dec 16, 2024

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Ph.D. Candidate, Dept. of Civil and Environmental Engineering, Colorado State Univ., Fort Collins, CO 80523. ORCID: https://orcid.org/0000-0002-9722-5219. Email: [email protected]
John W. van de Lindt, F.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, Colorado State Univ., Fort Collins, CO 80523 (corresponding author). Email: [email protected]

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  • Community-Level resilience analysis using earthquake-tsunami fragility surfaces, Resilient Cities and Structures, 10.1016/j.rcns.2024.07.006, 3, 2, (101-115), (2024).

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