Size Effect on Nominal Strength of Circular Stirrup-Confined RC Columns under Axial Compression: Mesoscale Study
Publication: Journal of Structural Engineering
Volume 146, Issue 3
Abstract
Most previous studies have made great progress in the size effect of concrete materials and several classic size effect laws (SELs) have been proposed. However, there is a lack of size effect laws for RC components including beams, columns, and beam-column joints. The focus of this study is the size effect in RC columns confined by stirrups under axial compression. A three-dimensional mesoscale numerical method for the simulation of the failure of RC columns was established. The numerical results were found in good accordance with the available experimental ones, demonstrating the rationality of the simulation method. The simulation method was then extended to model the size effect of circular RC columns having larger sizes. The main parameter, stirrups ratio, which evaluates the size and interaction effects between the concrete and reinforcement, was examined and analyzed. Furthermore, the influence mechanisms of confinement effect generated by stirrups on the nominal compressive strength were explored. Finally, based on the available classic SEL for concrete materials, a predictive formula was built that can describe the quantitative influence of constraint generated by stirrups on size effect of RC columns under axial compression. For comparison, the validation of the predictive theorical formula with the available test data is presented.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This research was supported by the National Natural Science Foundation of China (Nos. 51822801 and 51421005) and the National Key Basic Research and Development Program of China (Nos. 2018YFC1504302 and 2016YFC0701100). The support is gratefully acknowledged.
References
Barbhuiya, S., and A. M. Choudhury. 2015. “A study on the size effect of RC beam-column connections under cyclic loading.” Eng. Struct. 95 (Jul): 1–7. https://doi.org/10.1016/j.engstruct.2015.03.052.
Bažant, Z. P. 1984. “Size effect in blunt fracture: Concrete, rock, metal.” J. Eng. Mech. 110 (4): 518–535. https://doi.org/10.1061/(ASCE)0733-9399(1984)110:4(518).
Bažant, Z. P., and Y. W. Kwon. 1994. “Failure of slender and stocky reinforced concrete columns: Tests of size effect.” Mater. Struct. 27 (2): 79–90. https://doi.org/10.1007/BF02472825.
Carpinteri, A., and G. Ferro. 1994. “Size effects on tensile fracture properties: A unified explanation based on disorder and fractality of concrete microstructure.” Mater. Struct. 27 (10): 563–571. https://doi.org/10.1007/BF02473124.
De Luca, A., F. Matta, and A. Nann. 2010. “Behavior of full-scale glass fiber-reinforced polymer reinforced concrete columns under axial load.” ACI Struct. J. 107 (5): 589–596.
Deluce, J. R., and F. J. Vecchio. 2013. “Cracking behavior of steel fiber-reinforced concrete members containing conventional reinforcement.” ACI Struct. J. 110 (3): 481–490.
Du, M., L. Jin, X. L. Du, and D. Li. 2017a. “Size effect tests of stocky reinforced concrete columns confined by stirrups.” Struct. Concr. 18 (3): 454–465. https://doi.org/10.1002/suco.201600074.
Du, X. L., L. Jin, and D. Li. 2017b. “A state-of-the-art review on the size effect of concretes and concrete structures (II): RC members.” Chin. Civ. Eng. J. 50 (11): 24–44.
Du, X. L., L. Jin, and G. W. Ma. 2013. “A meso-scale analysis method for the simulation of nonlinear damage and failure behavior of reinforced concrete members.” Int. J. Damage Mech. 22 (6): 878–904. https://doi.org/10.1177/1056789512468915.
Duan, K., X. Hu, and F. H. Wittmann. 2006. “Scaling of quasi-brittle fracture: Boundary and size effect.” Mech. Mater. 38 (1–2): 128–141. https://doi.org/10.1016/j.mechmat.2005.05.016.
Dundar, C., D. Erturkmen, and S. Tokgoz. 2015. “Studies on carbon fiber polymer confined slender plain and steel fiber reinforced concrete columns.” Eng. Struct. 102 (Nov): 31–39. https://doi.org/10.1016/j.engstruct.2015.08.011.
Eid, R., N. Roy, and P. Paultre. 2009. “Normal- and high-strength concrete circular elements wrapped with FRP composites.” J. Compos. Constr. 13 (2): 113–124. https://doi.org/10.1061/(ASCE)1090-0268(2009)13:2(113).
Garboczi, E. J., and D. P. Bentz. 1991. “Digital simulation of the aggregate–cement paste interfacial zone in concrete.” J. Mater. Res. 6 (1): 196–201. https://doi.org/10.1557/JMR.1991.0196.
Genikomsou, A. S., and M. A. Polak. 2015. “Finite element analysis of punching shear of concrete slabs using damaged plasticity model in ABAQUS.” Eng. Struct. 98 (Sep): 38–48. https://doi.org/10.1016/j.engstruct.2015.04.016.
Grassl, P., D. Gregoire, L. R. Solano, and G. Pijaudier-Cabot. 2012. “Meso-scale modelling of the size effect on the fracture process zone of concrete.” Int. J. Solid Struct. 49 (13): 1818–1827. https://doi.org/10.1016/j.ijsolstr.2012.03.023.
Hu, X. Z., J. F. Guan, Y. S. Wang, A. Keating, and S. T. Yang. 2017. “Comparison of boundary and size effect models based on new developments.” Eng. Fract. Mec. 175 (Apr): 146–167. https://doi.org/10.1016/j.engfracmech.2017.02.005.
Jin, L., D. Li, X. Du, and A. Lu. 2017. “Experimental and numerical study on size effect in eccentrically loaded stocky RC columns.” J. Struct. Eng. 143 (2): 04016170. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001655.
Jin, L., W. X. Yu, X. L. Du, and W. X. Yang. 2019a. “Mesoscopic numerical simulation of dynamic size effect on the splitting-tensile strength of concrete.” Eng. Fract. Mech. 209 (Mar): 317–332. https://doi.org/10.1016/j.engfracmech.2019.01.035.
Jin, L., W. X. Yu, X. L. Du, S. Zhang, and D. Li. 2019b. “Meso-scale modelling of the size effect on dynamic compressive failure of concrete under different strain rates.” Int. J. Impact Eng. 125 (Mar): 1–12. https://doi.org/10.1016/j.ijimpeng.2018.10.011.
Jin, L., S. Zhang, D. Li, H. B. Xu, X. L. Du, and Z. B. Li. 2018. “A combined experimental and numerical analysis on the seismic behavior of short reinforced concrete columns with different structural sizes and axial compression ratios.” Int. J. Damage Mech. 27 (9): 1416–1447. https://doi.org/10.1177/1056789517735679.
Kent, D. C., and R. Park. 1971. “Flexural members with confined concrete.” J. Struct. Div. 97 (7): 1969–1990.
Kim, S. M., and R. K. A. Al-Rub. 2011. “Meso-scale computational modeling of the plastic-damage response of cementitious composites.” Cem. Concr. Res. 41 (3): 339–358. https://doi.org/10.1016/j.cemconres.2010.12.002.
Lee, J., and G. L. Fenves. 1998. “Plastic-damage model for cyclic loading of concrete structures.” J. Eng. Mech. 124 (8): 892–900. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:8(892).
Légeron, F., and P. Paultre. 2003. “Uniaxial confinement model for normal- and high-strength concrete columns.” J. Struct. Eng. 129 (2): 241–252. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:2(241).
Li, D., L. Jin, X. L. Du, J. Fu, and A. Z. Lu. 2016. “Size effect tests of normal-strength and high-strength RC columns subjected to axial compressive loading.” Eng. Struct. 109 (Feb): 43–60. https://doi.org/10.1016/j.engstruct.2015.11.022.
Lubliner, J., J. Oliver, S. Oller, and E. Onate. 1989. “A plastic-damage model for concrete.” Int. J. Solids Struct. 25 (3): 299–326. https://doi.org/10.1016/0020-7683(89)90050-4.
Majewski, T., J. Bobinski, and J. Tejchman. 2008. “FE analysis of failure behaviour of reinforced concrete columns under eccentric compression.” Eng. Struct. 30 (2): 300–317. https://doi.org/10.1016/j.engstruct.2007.03.024.
Mander, J. B., M. J. N. Priestley, and R. Park. 1988a. “Observed stress-strain behavior of confined concrete.” J. Struct. Eng. 114 (8): 1827–1849. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1827).
Mander, J. B., M. J. N. Priestley, and R. Park. 1988b. “Theoretical stress-strain model for confined concrete.” J. Struct. Eng. 114 (8): 1804–1826. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804).
Ministry of Construction of the People’s Republic of China. 2010. Code for design of concrete structures. GB 50010. Beijing: China Architecture and Building.
Němeček, J., and Z. Bittnar. 2004. “Experimental investigation and numerical simulation of post-peak behavior and size effect of reinforced concrete columns.” Mater. Struct. 37 (3): 161–169. https://doi.org/10.1007/BF02481615.
Şener, S., B. I. G. Barr, and H. F. Abusiaf. 2004. “Size effect in axially loaded reinforced concrete columns.” J. Struct. Eng. 130 (4): 662–670. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:4(662).
Sheikh, S. A., and M. T. Toklucu. 1993. “Reinforced concrete columns confined by circular spirals and hoops.” ACI Struct. J. 90: 542–553.
Sheikh, S. A., and S. M. Uzumeri. 1982. “Analytical model for concrete confinement in tied columns.” J. Struct. Div. 108 (12): 2703–2722.
Syroka-Korol, E., and J. Tejchman. 2014. “Experimental investigations of size effect in reinforced concrete beams failing by shear.” Eng. Struct. 58 (7): 63–78. https://doi.org/10.1016/j.engstruct.2013.10.012.
Tung, N. D., and N. V. Tue. 2016. “A fracture mechanics-based approach to modeling the confinement effect in reinforced concrete columns.” Constr. Build. Mater. 102 (Jan): 893–903. https://doi.org/10.1016/j.conbuildmat.2015.11.031.
Unger, J. F., and S. Eckardt. 2011. “Multiscale modeling of concrete.” Arch. Comput. Method Eng. 18 (3): 341–393. https://doi.org/10.1007/s11831-011-9063-8.
Weibull, W. 1951. “A statistical distribution function of wide applicability.” J. Appl. Mech. 18 (3): 293–297.
Wriggers, P., and S. O. Moftah. 2006. “Mesoscale models for concrete: Homogenisation and damage behaviour.” Finite Elem. Anal. Des. 42 (7): 623–636. https://doi.org/10.1016/j.finel.2005.11.008.
Zhang, C. G., X. Z. Hu, Z. M. Wu, and Q. B. Li. 2018. “Influence of grain size on granite strength and toughness with reliability specified by normal distribution.” Theor. Appl. Fract. Mec. 96 (Aug): 534–544. https://doi.org/10.1016/j.tafmec.2018.07.001.
Zhou, X. H., B. Yan, and J. P. Liu. 2015. “Behavior of square tubed steel reinforced-concrete (SRC) columns under eccentric compression.” Thin. Wall. Struct. 91 (Jun): 129–138. https://doi.org/10.1016/j.tws.2015.01.022.
Information & Authors
Information
Published In
Copyright
©2019 American Society of Civil Engineers.
History
Received: Nov 16, 2018
Accepted: Jun 21, 2019
Published online: Dec 17, 2019
Published in print: Mar 1, 2020
Discussion open until: May 17, 2020
Authors
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.