Stochastic-Based Nonlinear Numerical Modeling of Shear Critical RC Beam Repaired with Bonded CFRP Sheets
Publication: Journal of Composites for Construction
Volume 23, Issue 5
Abstract
The response of a shear critical substandard reinforced concrete beam and the structural repair of the predamaged beam by carbon-fiber-reinforced polymer sheets (CFRPs) were investigated by advanced numerical modeling method. First, the specimen was tested up to failure under monotonic loading in a four-point bending test. Owing to spatial variability of the concrete mechanical properties over a specific region, the damage was concentrated on one side of the beam. The severe shear cracks on the damaged side were then successfully repaired by externally bonded CFRP sheets. The former load-carrying capacity of the repaired beam was recovered, and the crack formation was transferred to the other side of the specimen, which had not been repaired. After repairing the unrepaired side of the beam using the same process, the failure mode was characterized by concrete crushing when the limiting strain of the concrete was reached under compression. The unsymmetrical crack pattern in the as-built specimen due to the uneven distribution of the concrete mechanical properties was reproduced by a random fields approach that combines the nonlinear finite-element method with stochastic sampling. In addition, the nonlinear response of the repair processes on the predamaged beam was adequately reproduced in the finite-element environment. The crack patterns and capacities obtained in the numerical solutions matched well the experimentally observed responses of the as-built and twice-repaired specimens.
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Acknowledgments
This study has been accomplished with the support of the Educational and Research Centre in Transport, Transport Engineering Faculty, University of Pardubice, and Department of Civil Engineering, Engineering Faculty, Anadolu University. The support of BASF Chemical Company is gratefully acknowledged.
References
ACI (American Concrete Institute). 2011. Building code requirements for structural concrete and commentary. ACI 318M. Farmington Hills, MI: ACI.
Altin, S., Ö. Anil, R. Ö. Ocakli, and Y. Kopraman. 2011. “Retrofitting of shear damaged RC beams using diagonal CFRP strips.” J. Reinf. Plast. Compos. 30 (17): 1495–1507. https://doi.org/10.1177/0731684411421843.
Ashour, A. F. 2000. “Shear capacity of reinforced concrete deep beams.” J. Struct. Eng. 126 (9): 1045–1052. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:9(1045).
ATENA. 2014. “Program documentation, Part 1. Atena theory manual, Cervenka consulting.” Accessed January 10, 2017. http://www.cervenka.cz/.
ATENA. 2016. “Program documentation Part 4–9. ATENA science—GiD strengthening of concrete structures. Step by step guide for modelling strengthening with ATENA and GiD.” Accessed January 10, 2017. http://www.cervenka.cz/.
Bal, İ. E., H. Crowley, R. Pinho, and F. G. Gülay. 2008. “Detailed assessment of structural characteristics of Turkish RC building stock for loss assessment models.” Soil Dyn. Earthquake Eng. 28 (10–11): 914–932. https://doi.org/10.1016/j.soildyn.2007.10.005.
Bazant, Z., and B. Oh. 1983. “Crack band theory for fracture of concrete.” Mater. Struct. 16 (3): 155–177. https://doi.org/10.1007/BF02486267.
Belarbi, A., S.-W. Bae, and A. Brancaccio. 2012. “Behavior of full-scale RC T-beams strengthened in shear with externally bonded FRP sheets.” Constr. Build. Mater. 32 (Jul): 27–40. https://doi.org/10.1016/j.conbuildmat.2010.11.102.
Benjeddou, O., M. B. Ouezdou, and A. Bedday. 2007. “Damaged RC beams repaired by bonding of CFRP laminates.” Constr. Build. Mater. 21 (6): 1301–1310. https://doi.org/10.1016/j.conbuildmat.2006.01.008.
Çağatay, İ. H. 2005. “Experimental evaluation of buildings damaged in recent earthquakes in Turkey.” Eng. Fail. Anal. 12 (3): 440–452. https://doi.org/10.1016/j.engfailanal.2004.02.007.
CEN (Comité Européen de Normalisation). 2001. Testing hardened concrete-Part 3: Compressive strength of test specimens. EN 12390-3. Brussels, Belgium: CEN.
Cervenka, V. 1985. “Constitutive model for cracked reinforced concrete.” J. Proc. 82 (6): 877–882.
Cervenka, V. 2008. “Global safety format for nonlinear calculation of reinforced concrete.” Supplement, Beton und Stahlbetonbau 103 (S1): 37–42. https://doi.org/10.1002/best.200810117.
Chen, G. M., J. F. Chen, and J. G. Teng. 2012. “On the finite element modelling of RC beams shear-strengthened with FRP.” Constr. Build. Mater. 32 (Jul): 13–26. https://doi.org/10.1016/j.conbuildmat.2010.11.101.
Chen, G. M., S. W. Li, D. Fernando, P. C. Liu, and J. F. Chen. 2017. “Full-range FRP failure behaviour in RC beams shear-strengthened with FRP wraps.” Int. J. Solids Struct. 125 (Oct): 1–21. https://doi.org/10.1016/j.ijsolstr.2017.07.019.
Del Vecchio, C., M. Di Ludovico, A. Balsamo, and A. Prota. 2018. “Seismic retrofit of real beam-column joints using fiber-reinforced cement composites.” J. Struct. Eng. 144 (5): 04018026. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001999.
Dyngeland, T. 1989. “Behavior of reinforced concrete panels.” Ph.D. dissertation, Dept. of Civil Engineering, Trondheim Univ.
El-Amoury, T., and A. Ghobarah. 2002. “Seismic rehabilitation of beam-column joint using GFRP sheets.” Eng. Struct. 24 (11): 1397–1407. https://doi.org/10.1016/S0141-0296(02)00081-0.
Ferreira, D., E. Oller, A. Marí, and J. Bairán. 2013. “Numerical analysis of shear critical RC beams strengthened in shear with FRP sheets.” J. Compos. Constr. 17 (6): 04013016. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000434.
fib (International Federation for Structural Concrete). 2010. CEB-FIP model code. Berlin: Wilhelm Ernst & Sohn.
Ghosn, M., et al. 2016. “Reliability-based performance indicators for structural members.” J. Struct. Eng. 142 (9): F4016002. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001546.
Godat, A., P. Labossière, and K. W. Neale. 2012. “Numerical investigation of the parameters influencing the behaviour of FRP shear-strengthened beams.” Constr. Build. Mater. 32 (Jul): 90–98. https://doi.org/10.1016/j.conbuildmat.2010.11.110.
Griffiths, R., and D. G. Holloway. 1970. “The fracture energy of some epoxy resin materials.” J. Mater. Sci. 5 (4): 302–307. https://doi.org/10.1007/PL00020095.
Hawileh, R. A., M. Z. Naser, and J. A. Abdalla. 2013. “Finite element simulation of reinforced concrete beams externally strengthened with short-length CFRP plates.” Composites Part B 45 (1): 1722–1730. https://doi.org/10.1016/j.compositesb.2012.09.032.
Hordijk, D. A. 1991. “Local approach to fatigue of concrete.” Ph.D. thesis, Faculty of Civil Engineering and Geosciences, Delft Univ. of Technology.
JCSS (Joint Committee on Structural Safety). 2000. “Probabilistic model code. Part 3: Material properties.” Accessed March 8, 2016. http://www.jcss.byg.dtu.dk.
Kaliakin, V. N., M. J. Chajes, and T. F. Januszka. 1996. “Analysis of concrete beams reinforced with externally bonded woven composite fabrics.” Composites Part B 27 (3–4): 235–244. https://doi.org/10.1016/1359-8368(95)00017-8.
Kim, Y., W. M. Ghannoum, and J. O. Jirsa. 2015. “Shear behavior of full-scale reinforced concrete T-beams strengthened with CFRP strips and anchors.” Constr. Build. Mater. 94 (Sep): 1–9. https://doi.org/10.1016/j.conbuildmat.2015.06.005.
Kollegger, J., and G. Mehlhorn. 1988. Experimentelle und analytische untersuchungen zur aufstellung eines materialmodels für gerissene stahbetonscheiben. Kassel, Germany: Massivbau, Gesamthochschule.
Kolmar, W. 1986. “Beschreibung der kraftuebertragung über risse in nichtlinearen finite-element-berechnungen von stahlbetontragwerken.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, T.H. Darmstadt.
Koteš, P., M. Farbák, P. Kotula, M. Brodňan, and A. Čavojcová. 2013. “Using CFRP lamellas for strengthening of dynamically loaded beams.” Procedia Eng. 65 (Jan): 302–310. https://doi.org/10.1016/j.proeng.2013.09.047.
Lee, D. H., S. J. Han, K. S. Kim, and J. M. LaFave. 2017. “Shear strength of reinforced concrete beams strengthened in shear using externally-bonded FRP composites.” Compos. Struct. 173 (Aug): 177–187. https://doi.org/10.1016/j.compstruct.2017.04.025.
Masi, A., and M. Vona. 2009. “Estimation of the in-situ concrete strength: Provisions of the European and Italian seismic codes and possible improvements.” In Proc., Eurocode 8 Perspectives from the Italian Standpoint Workshop, 12. Napoli, Italy: Doppiavoce.
Mazılıgüney, L., İ. Ö. Yaman, and F. Azılı. 2008. “In-situ concrete compressive strength of residential, public and military structures.” In Proc., 8th Int. Congress on Advances in Civil Engineering. Famagusta, North Cyprus: Civil Engineering Dept., Eastern Mediterranean Univ.
Mencik, J. 2016. “Latin hypercube sampling. Concise reliability for engineers.” Accessed February 20, 2018. https://www.intechopen.com/books/concise-reliability-for-engineers/latin-hypercube-sampling.
Menetrey, P., and K. J. Willam. 1995. “Triaxial failure criterion for concrete and its generalization.” ACI Struct. J. 92 (3): 311–318. https://doi.org/10.14359/1132.
Novák, D., O. Slowik, L. Novák, A. Strauss, and D. Lehky. 2017. “Statistical and sensitivity analyses of prestressed concrete girders failing in shear.” In Proc., 12th Int. Conf. on Structural Safety and Reliability (ICOSSAR2017). New York: International Association for Structural Safety and Reliability.
Novák, D., M. Vorechovsky, D. Lehky, R. Rusina, R. Pukl, and V. Cervenka. 2005. “Stochastic nonlinear fracture mechanics finite element analysis of concrete structures.” In Proc., 9th Int. Conf. on Structural Safety and Reliability, Safety and Reliability of Engineering Systems and Structures, ICOSSAR05. Amsterdam, Netherlands: IOS Press.
Novák, D., M. Vořechovský, and R. Rusina. 2015. “FReET v.1.5– program documentation. User’s and theory guides.” Accessed July 14, 2016. http://www.freet.cz.
Novák, L., L. Pan, O. Slowik, and D. Novák. 2018. “Advanced reliability and sensitivity analysis of prestressed concrete girders failing in shear.” In Proc., 12th Int. FIB Ph.D. Symp. in Civil Engineering. Prague, Czech Republic: Czech Technical Univ.
Osman, B. H., E. Wu, B. Ji, and S. S. Abdulhameed. 2017. “Repair of pre-cracked reinforced concrete (RC) beams with openings strengthened using FRP sheets under sustained load.” Int. J. Concr. Struct. Mater. 11 (1): 171–183. https://doi.org/10.1007/s40069-016-0182-3.
Pukl, R., T. Sajdlova, L. Routil, D. Novák, and P. Seda. 2016. “Case study: Nonlinear reliability analysis of a concrete bridge.” In Proc., 8th Int. Conf. on Bridge Maintenance, Safety and Management, IABMAS2016. Foz do Iguaçu, Brazil: International Association for Bridge Maintenance and Safety.
Rankine, W. 1857. “On the stability of loose earth.” Philos. Trans. R. Soc. London 147: 185–187. https://doi.org/10.1098/rstl.1857.0003.
Razaqpur, A. G., M. Shedid, and B. Isgor. 2011. “Shear strength of fiber-reinforced polymer reinforced concrete beams subject to unsymmetric loading.” J. Compos. Constr. 15 (4): 500–512. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000184.
Samad, A. A., A. Noorwirdawati, N. Mohamad, J. Jayaprakash, K. F. Tee, and P. Mendis. 2017. “Shear strengthening and shear repair of 2-span continuous RC beams with CFRP strips.” J. Compos. Constr. 21 (3): 04016099. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000756.
SARA Studio. 2015. “SARA (structural analysis and reliability assessment) user’s manual.” July 14, 2016. http://www.cervenka.cz/.
Shimizu, Y., M. Hirosawa, and J. Zhou. 2000. “Statistical analysis of concrete strength in existing reinforced concrete buildings in Japan.” In Proc., 12th World Conf. on Earthquake Engineering (12 WCEE). Upper Hutt, New Zealand: New Zealand Society for Earthquake Engineering.
Spadea, G., R. N. Swamy, and F. Bencardino. 2001. “Strength and ductility of RC beams repaired with bonded CFRP laminates.” J. Bridge Eng. 6 (5): 349–355. https://doi.org/10.1061/(ASCE)1084-0702(2001)6:5(349).
Strauss, A., B. Krug, O. Slowik, and D. Novák. 2017. “Combined shear and flexure performance of prestressing concrete T-shaped beams: Experiment and deterministic modeling.” Struct. Concr. 19 (1): 16–35. https://doi.org/10.1002/suco.201700079.
TEC (Turkish Earthquake Code). 2007. Turkish earthquake code, specification for structures to be built in disaster areas. Turkey: Ministry of Public Works and Settlement Government of Republic of Turkey.
Van Mier, J. G. M. 1986. “Multiaxial strain-softening of concrete, Part I: Fracture.” Mater. Struct. 19 (3): 190–200. https://doi.org/10.1007/BF02472035.
Vecchio, F. J., and M. P. Collins. 1986. “Modified compression-field theory for reinforced concrete beams subjected to shear.” ACI J. 83 (2): 219–231.
Vořechovský, M. 2007. “Interplay of size effects in concrete specimens under tension studied via computational stochastic fracture mechanics.” Int. J. Solids Struct. 44 (9): 2715–2731. https://doi.org/10.1016/j.ijsolstr.2006.08.019.
Vos, E. 1983. “Influence of loading rate and radial pressure on bond in reinforced concrete.” Ph.D. thesis, Delft Univ. of Technology.
Yang, Y., C. Van der Veen, D. Hordijk, and A. De Boer. 2016. “The shear capacity of reinforced concrete members with plain bars.” In Proc., Struct. Faults Repair. Edinburgh, UK: Engineering Technical Press.
Yurdakul, O., and O. Avsar. 2015. “Structural repairing of damaged reinforced concrete beam-column assemblies with CFRPs.” Struct. Eng. Mech. 54 (3): 521–543. https://doi.org/10.12989/sem.2015.54.3.521.
Zimmermann, T., A. Strauss, D. Lehký, D. Novák, and Z. Keršner. 2014. “Stochastic fracture-mechanical characteristics of concrete based on experiments and inverse analysis.” Constr. Build. Mater. 73 (Dec): 535–543. https://doi.org/10.1016/j.conbuildmat.2014.09.087.
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Published In
Journal of Composites for Construction
Volume 23 • Issue 5 • October 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Apr 17, 2018
Accepted: Feb 21, 2019
Published online: Aug 13, 2019
Published in print: Oct 1, 2019
Discussion open until: Jan 13, 2020
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