Technical Papers
Jul 22, 2016

Performance-Based Seismic Design of Shape Memory Alloy–Reinforced Concrete Bridge Piers. I: Development of Performance-Based Damage States

Publication: Journal of Structural Engineering
Volume 142, Issue 12

Abstract

Performance-based seismic design aims to dictate the structural performance in a predetermined fashion given the possible seismic hazard scenarios the structure is likely to experience. Identifying and assessing the probable performance is an integral part of performance-based design. Before implementation, accurate and practical definitions of different performance levels and corresponding limit states must be determined. This study aims to develop performance-based damage states for shape memory alloy (SMA)–reinforced concrete (RC) bridge piers considering different types of SMAs and seismic hazard scenarios. Using incremental dynamic analysis (IDA), this study develops quantitative damage states corresponding to different performance levels (cracking, yielding, and strength degradation) and specific probabilistic distributions for RC bridge piers reinforced with different types of SMAs. Based on an extensive numerical study, this study also proposes residual drift–based damage states for SMA-RC piers. Finally, an analytical expression is proposed to estimate the residual drift of SMA-reinforced concrete elements as a function of the expected maximum drift and superelastic strain of SMA. Comparison with experimental results revealed that the proposed equation could very well predict the residual drift obtained from the experimental results.

Get full access to this article

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

Acknowledgments

The financial contributions of Natural Sciences and Engineering Research Council of Canada (NSERC) through Discovery Grant and Industrial Postgraduate Scholarship Program were critical to conduct this study and are gratefully acknowledged.

References

AASHTO. (2011). AASHTO guide specifications for LRFD seismic bridge design, LRFDSEIS-2-M, 2nd ed., Washington, DC.
Abrahamson, N. A. (1992). “Non-stationary spectral matching.” Seismol. Res. Lett., 63(1), 30.
Alam, M. S., Youssef, M. A., and Nehdi, M. (2007). “Utilizing shape memory alloys to enhance the performance and safety of civil infrastructure: A review.” Can. J. Civ. Eng., 34(9), 1075–1086.
Alam, M. S., Youssef, M. A., and Nehdi, M. (2008). “Analytical prediction of the seismic behaviour of superelastic shape memory alloy reinforced concrete elements.” Engr. Struct., 30(12), 3399–3411.
Alam, M. S., Youssef, M. A., and Nehdi, M. (2009). “Seismic performance of concrete frame structures reinforced with superelastic shape memory alloys.” Smart Struct. Syst., 5(5), 565–585.
Applied Technology Council. (2012). “Seismic performance assessment of buildings.”, Redwood City, CA.
Araki, Y., et al. (2010). “Potential of superelastic Cu-Al–Mn alloy bars for seismic applications.” Earthquake Eng. Struct. Dyn., 40(1), 107–115.
Araki, Y., Maekawa, N., Omori, T., Sutou, Y., Kainuma, R., and Ishida, K. (2012). “Rate-dependent response of superelastic Cu–Al–Mn alloy rods to tensile cyclic loads.” Smart Mater. Struct., 21, 032002.
Auricchio, F. and Sacco, E. (1997). “Superelastic shape-memory-alloy beam model.” J. Intell. Mater. Syst. Struct., 8(6), 489–501.
Baker, J. W., Lin, T., Shahi, S. K., and Jayaram, N. (2011). “New ground motion selection procedures and selected motions for the PEER transportation research program.”, PEER Center, Univ. of California, Berkeley, CA.
Bentz, E. C., Vecchio, F. J., and Collins, M. P. (2006). “Simplified modified compression field theory for calculating shear strength of reinforced concrete elements.” ACI Struct. J., 103(4), 614–624.
Berry, M., and Eberhard, M. (2003). “Performance models for flexural damage in reinforced concrete columns.”, PEER Center, Univ. of California, Berkeley, CA.
Billah, A. H. M. M., and Alam, M. S. (2012). “Seismic performance of concrete columns reinforced with hybrid shape memory alloy (SMA) and fiber reinforced polymer (FRP) bars.” Constr. Build. Mater., 28(1), 730–742.
Billah, A. H. M. M., and Alam, M. S. (2013). “Statistical distribution of seismic performance criteria of retrofitted multi-column bridge bents using incremental dynamic analysis: A case study.” Bull. Earthquake Eng., 11(6), 2333–2362.
Billah, A. H. M. M., and Alam, M. S. (2014). “Seismic fragility assessment of concrete bridge piers reinforced with superelastic shape memory alloy.” Earthquake Spectra, 31(3), 1515–1541.
Casarotti, C., and Pinho, R. (2006). “Seismic response of continuous span bridges through fibre-based finite element analysis.” Earthquake Eng. Eng. Vibr., 5(1), 119–131.
Christopoulos, C., Pampanin, S., and Priestley, M. J. N. (2003). “Performance-based seismic response of frame structures including residual deformations. I: Single-degree-of-freedom systems.” J. Earthquake Eng., 7(1), 97–118.
Cruz, N. C., and Saiidi, M. S. (2012). “Shake-table studies of a four-span bridge model with advanced materials.” J. Struct. Eng., 183–192.
CSA (Canadian Standards Association). (2010). “CSA S6-10, CHBDC 2010, Canadian highway bridge design code.”, Canadian Standards Association, Rexdale, ON.
Czaderski, C., Shahverdi, M., Brönnimann, R., Leinenbach, C., and Motavalli, M. (2014). “Feasibility of iron-based shape memory alloy strips for prestressed strengthening of concrete structures.” Constr. Build. Mater., 56, 94–105.
Dezfuli, F. H., and Alam, M. S. (2013). “Shape memory alloy wire-based smart natural rubber bearing.” Smart Mater. Struct., 22(4), 45013–45029.
Ellingwood, B. (1977). “Statistical analysis of RC Beam column interaction.” J. Struct. Eng., 103, 1377–1388.
Elnashai, A. S., and Luigi, D. S. (2008). Fundamentals of earthquake engineering, Wiley, New York.
Erochko, J., Christopoulos, C., Tremblay, R., and Choi, H. (2011). “Residual drift response of SMRFs and BRB frames in steel buildings designed according to ASCE 7-05.” J. Struct. Eng., 589–599.
Ghassemieh, M., Mostafazadeh, M., and Sadeh, M. S. (2012). “Seismic control of concrete shear wall using shape memory alloys.” J. Intell. Mater. Syst. Struct., 23(5), 535–543.
Ghobarah, A., Aly, N. M., and El-Attar, M. (1998). “Seismic reliability assessment of existing reinforced concrete buildings.” J. Earthquake Eng., 2(4), 569–592.
Hancock, J., et al. (2006). “An improved method of matching response spectra of recorded earthquake ground motion using wavelets.” J. Earthquake Eng., 10(1), 67–89.
Hose, Y., Silva, P., and Seible, F. (2000). “Development of a performance evaluation database for concrete bridge components and systems under simulated seismic loads.” Earthquake Spectra, 16(2), 413–442.
JRA (Japan Road Association). (2006). “Specifications for highway bridges.” Tokyo.
Lee, W. K., and Billington, S. K. (2011). “Performance-based earthquake engineering assessment of a self-centering, post-tensioned concrete bridge system.” Earthquake Engr. Struct. Dyn., 40(8), 887–902.
Lehman, D., Moehle, J., Mahin, S., Calderone, A., and Henry, L. (2004). “Experimental evaluation of the seismic performance of reinforced concrete bridge columns.” J. Struct. Eng., 869–879.
Lindt, J. W., and Potts, A. (2008). “Shake table testing of a superelastic shape memory alloy response modification device in a wood shear wall.” J. Struct. Eng., 1343–1352.
Mander, J. B., Priestley, M. J. N., and Park, R. (1988). “Theoretical stress-strain model for confined concrete.” J. Struct. Eng., 1804–1826.
Marsh, L. K., and Stringer, S. J. (2013). “Performance-based seismic bridge design, a synthesis of highway practice.”, TRB, Washington, DC.
Menegotto, M., and Pinto, P. E. (1973). “Method of analysis for cyclically loaded R.C. plane frames including changes in geometry and non-elastic behaviour of elements under combined normal force and bending.” Symp. on the Resistance and Ultimate Deformability of Structures Acted on By Well-Defined Repeated Loads, International Association for Bridge and Structural Engineering, Zurich, Switzerland, 15–22.
Mirza, S. A., Hatzinikolas, M., and MacGregor, J. G. (1979). “Statistical descriptions of strength of concrete.” J. Struct. Eng., 105(ST6), 1021–1036.
National Research Council of Canada. (2014). “Canadian highway bridge design code.”, Ottawa, ON.
Naumoski, N., Tso, W. K., and Heidebrecht, A. C. (1988). “A selection of representative strong motion earthquake records having different A/V ratios.”, Dept. of Civil Engineering, McMaster Univ., Hamilton, ON, Canada.
O’Brien, M., Saiidi, M. S., and Zadeh, M. S. (2007). “A study of concrete bridge columns using innovative materials subjected to cyclic loading.”, CCEER, Dept. of Civil Engineering, Univ. of Nevada, Reno, NV.
Ocel, J., et al. (2004). “Steel beam-column connections using shape memory alloys.” J. Struct. Eng., 732–740 .
Omori, T., et al. (2011). “Superelastic effect in polycrystalline ferrous alloys.” Science, 333(6038), 68–71.
Paulay, T., and Priestley, M. N. J. (1992). Seismic design of reinforced concrete and masonry buildings, Willey, New York.
PEER (Pacific Earthquake Engineering Research). (2011). “New ground motion selection procedures and selected motions for the PEER transportation research program.”, Univ. of California, Berkeley, CA.
Pettinga, D., Pampanin, S., Christopoulos, C., Priestley, N. (2006). “Accounting for residual deformations and simple approaches to their mitigation.” 1st European Conf. on Earthquake Engineering and Seismology, Geneva, Switzerland.
Pinho, R., Casarotti, C., and Antoniou, S. (2007). “A Comparison of single-run pushover analysis techniques for seismic assessment of bridges.” Earthquake Eng. Struct. Dyn., 36(10), 1347–1362.
Priestley, M. J. N., Seible, F., and Calvi, G. M. (1996). Seismic design and retrofit of bridges, Wiley, New York.
Ramirez, C. M., and Miranda, E. (2012). “Significance of residual drifts in building earthquake loss estimation.” Earthquake Eng Struct Dyn., 41(11), 1477–1493.
Saiidi, M. S., and Ardakani, S. M. S. (2012). “An analytical study of residual displacements in RC bridge columns subjected to near-fault earthquakes.” Bridge Struct., 8(1), 35–45.
Saiidi, M. S., O’Brien, M., and Zadeh, M. S. (2009). “Cyclic response of concrete bridge columns using superelastic nitinol and bendable concrete.” ACI Struct J., 106(1), 69–77.
Saiidi, M. S., and Wang, H. (2006). “Exploratory study of seismic response of concrete columns with shape memory alloys reinforcement.” ACI Struct. J., 103(3), 435–442.
SeismoMatch version 2.1 [Computer software]. SeismoMatch Earthquake Engineering Software Solutions, Pavia, Italy.
Seismostruct version 6.0 [Computer software]. Pavia, Italy.
Shrestha, K. C., et al. (2013). “Feasibility of Cu–Al–Mn superelastic alloy bars as reinforcement elements in concrete beams.” Smart Mater. Struct., 22(2), 025025.
Tanaka, Y., Himuro, Y., Kainuma, R., Sutou, Y., Omori, T., and Ishida, K. (2010). “Ferrous polycrystalline shape-memory alloy showing huge superelasticity.” Science, 327(5972), 1488–1490.
Vamvatsikos, D., and Cornell, C. A. (2002). “Incremental dynamic analysis.” Earthquake Engr. Struct. Dyn., 31(3), 491–514.
Vecchio, F. J., and Collins, M. P. (1986). “The modified compression-filed theory for reinforced concrete elements subjected to shear.” ACI Struct. J., 83(2), 219–231.
Wang, D. S., Ai, Q. H., Li, H. N., Si, B. J., and Sun, Z. G. (2008). “Displacement based seismic design of RC bridge piers: Method and experimental evaluation.” 14th World Conf. on Earthquake Engineering, Beijing, China.
Youssef, M. A., Alam, M. S., and Nehdi, M. (2008). “Experimental investigation on the seismic behavior of beam-column joints reinforced with superelastic shape memory alloys.” J. Earthquake Eng., 12(7), 1205–1222.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 142Issue 12December 2016

History

Received: Dec 16, 2014
Accepted: Oct 20, 2015
Published online: Jul 22, 2016
Published in print: Dec 1, 2016
Discussion open until: Dec 22, 2016

Permissions

Request permissions for this article.

Authors

Affiliations

A. H. M. Muntasir Billah, A.M.ASCE [email protected]
Former Graduate Student, School of Engineering, Univ. of British Columbia, Kelowna, BC, Canada V1V1V7; presently, Bridge Engineer, Parsons, Burnaby, BC, Canada V5H4M2. E-mail: [email protected]
M. Shahria Alam, M.ASCE [email protected]
Associate Professor, School of Engineering, Univ. of British Columbia, Kelowna, BC, Canada V1V1V7 (corresponding author). E-mail: [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