Technical Papers
Jun 28, 2019

Triaxial Concrete Constitutive Model for Simulation of Composite Plate Shear Wall–Concrete Encased: THUC3

Publication: Journal of Structural Engineering
Volume 145, Issue 9

Abstract

A new triaxial constitutive model [Tsinghua University Concrete Three-dimensional (THUC3)] of concrete was developed for high-fidelity finite-element (FE) simulation of composite plate shear wall–concrete encased (C-PSW/CE), which has been adopted as the lateral force-resisting system in numerous ultrahigh-rise buildings. In this formulation, a uniaxial constitutive model of concrete was introduced. The following five key features of concrete were included in the proposed model: compressive softening of unconfined and confined concrete, tension softening, pinching effect, shear softening, and strength degradation due to principal tensile strain. A triaxial constitutive law was also illustrated based on a fixed crack assumption. By assuming that the stress of the concrete can be decoupled in the crack coordinate system upon initial cracking, the triaxial constitutive law was assembled from the aforementioned uniaxial stress–strain relations. A new formulation is proposed to achieve strain decomposition and stress assembly in three-dimensional stress space. The numerical implementation of the stress update algorithm in an ABAQUS user material (UMAT) subroutine was illustrated. The modeling scheme and material constitutive laws of reinforcing bars, steel plates, and studs were also introduced. Subsequently, the developed triaxial constitutive model was validated at the material level by simulating the cyclic behavior of concrete and reinforced concrete (RC) specimens. The developed FE model showed good accuracy in simulating the hysteretic behavior, ultimate capacity, and residual strain in cyclic tensile loading. Two flexural critical C-PSW/CE tests, Specimens C30-5 and C40-5, were also completed and reported in this research, and 18 shear critical C-PSW/CE tests were collected from the existing literature. These tests were simulated to further validate the developed model at the structural level. Comparisons indicated that the proposed model showed a reasonable level of accuracy in terms of ultimate capacity, energy consumption, and failure mode. In addition, the modeling of studs by a nonlinear connector element is recommended based on comparisons between the test and FE results. The current AISC provisions for shear capacity of C-PSW/CE specimens were also evaluated relative to the computational and experimental results.

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Acknowledgments

The writers gratefully acknowledge the financial support of the National Key Research Program of China (Grant No. 2017YFC0703407) and National Natural Science Foundation of China (Grant No. 51725803).

References

AISC. 2016. Seismic provisions for structural steel buildings. ANSI/AISC 341. Chicago: AISC.
Aoyagi, Y., and K. Yamada. 1983. “Strength and deformation characteristics of reinforced concrete shell elements subjected to in-plane forces.” Proc. JSCE 331: 167–180.
Bažant, Z. P., and L. Cedolin. 2010. Stability of structures: Elastic, inelastic, fracture and damage theories. London: World Scientific.
Belarbi, A., and T. T. C. Hsu. 1994. “Constitutive laws of concrete in tension and reinforcing bars stiffened by concrete.” ACI Struct. J. 91 (4): 465–474.
Belarbi, A., and T. T. C. Hsu. 1995. “Constitutive laws of softened concrete in biaxial tension compression.” ACI Struct. J. 92 (5): 562–573.
CEB-FIP (Comité Euro-International du Béton-Fédération International de la Précontrainte). 2010. CEB-FIP Model Code 2010, design code. London: Thomas Telford.
Červenka, J., and V. Papanikolaou. 2008. “Three dimensional combined fracture-plastic material model for concrete.” Int. J. Plast. 24 (12): 2192–2220. https://doi.org/10.1016/j.ijplas.2008.01.004.
CMC (China Ministry of Construction). 2010. “Technical specification for concrete structures of tall building.” [In Chinese.] JGJ 3-2010. Beijing: CMC.
Deaton, J. B. 2013. “Nonlinear finite element analysis of reinforced concrete exterior beam-column joints with non-seismic detailing.” Ph.D. dissertation, School of Civil and Environmental Engineering, Georgia Institute of Technology.
Esmaeily, A., and Y. Xiao. 2005. “Behavior of reinforced concrete columns under variable axial loads: Analysis.” ACI Mater. J. 102 (5): 736–744.
Gopalaratnam, V. S., and S. P. Shah. 1985. “Softening response of plain concrete in direct tension.” ACI J. Proc. 82 (3): 310–323.
Hognestad, E., N. W. Hanson, and D. McHenry. 1955. “Concrete stress distribution in ultimate strength design.” ACI J. Proc. 52 (12): 455–480.
Hsu, T. T. C., and Y. L. Mo. 2010. Unified theory of reinforced concrete. Chichester, UK: Wiley.
Kang, H. D., K. Willam, P. B. Shing, and E. Spacone. 2000. “Failure analysis of R/C columns using a triaxial concrete model.” Comput. Struct. 77 (5): 423–440. https://doi.org/10.1016/S0045-7949(00)00006-7.
Kurt, E. G., A. H. Varma, P. Booth, and A. S. Whittaker. 2016. “In-plane behavior and design of rectangular SW wall piers without boundary elements.” J. Struct. Eng. 142 (6): 04016026. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001481.
Kwak, H. G., and D. Y. Kim. 2001. “Nonlinear analysis of RC shear walls considering tension-stiffening effect.” Comput. Struct. 79 (5): 499–517. https://doi.org/10.1016/S0045-7949(00)00157-7.
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).
Légeron, F., P. Paultre, and J. Mazars. 2005. “Damage mechanics modeling of nonlinear seismic behavior of concrete structures.” J. Struct. Eng. 131 (6): 946–955. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:6(946).
Lu, X. Z., L. L. Xie, H. Guan, Y. L. Huang, and X. Lu. 2015. “A shear wall element for nonlinear seismic analysis of super-tall buildings using OpenSees.” Finite Elem. Anal. Des. 98: 14–25. https://doi.org/10.1016/j.finel.2015.01.006.
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.
Maekawa, K., H. Okamura, and A. Pimanmas. 2003. Non-linear mechanics of reinforced concrete. London: Spon Press.
Moharrami, M., and I. Koutromanos. 2016. “Triaxial constitutive model for concrete under cyclic loading.” J. Struct. Eng. 142 (7): 04016039. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001491.
Nakamura, H. 2001. “Compressive fracture energy and fracture zone length of concrete.” In Vol. 2 of Proc., Modelling of Inelastic Behavior of RC Structures under Seismic Loads, 259–272. Reston, VA: ASCE.
Nishimura, A., M. Fujii, A. Miyamoto, and I. Saito. 1985. “Effect of the crack surface roughness on shear transfer in cracks in reinforced concrete beams.” Proc. JSCE 360 (3): 91–100. https://doi.org/10.2208/jscej.1985.360_91.
Ohmori, N., T. Takahashi, H. Tsubota, N. Inoue, K. Kurihara, and S. Watanabe. 1989. “Experimental studies on nonlinear behaviors of reinforced concrete panels subjected to cyclic in-plane shear.” Proc. AIJ 403: 105–118. https://doi.org/10.3130/aijsx.403.0_105.
Rots, J. G., and J. Blaauwendraad. 1989. “Crack models for concrete: Discrete or smeared? Fixed, multi-directional or rotating?” Heron 34 (1): 1–59.
Sener, K. C., A. H. Varma, and J. Seo. 2016. “Experimental and numerical investigation of the shear behavior of steel-plate composite (SC) beams without shear reinforcement.” Eng. Struct. 127: 495–509. https://doi.org/10.1016/j.engstruct.2016.08.053.
Stevens, N. J. 1987. “Analytical modeling of reinforced concrete subjected to monotonic and reversed cyclic loadings.” Ph.D. dissertation, Dept. of Civil and Mineral Engineering, Univ. of Toronto.
Tamai, S., H. Shima, J. Izumo, and H. Okamura. 1988. “Average stress–strain relationship in post yield range of steel bar in concrete.” [In Japanese.] In Proc., JSCE Concrete Library, 117–129. Tokyo: Japanese Society of Civil Engineering.
Tao, M. X. 2012. “Slab spatial composite effect of steel-concrete composite frame structural systems.” [In Chinese.] Ph.D. dissertation, Dept. of Civil Engineering, Tsinghua Univ.
Tao, M. X., and J. G. Nie. 2014. “Fiber beam-column model considering slab spatial composite effect for nonlinear analysis of composite frame systems.” J. Struct. Eng. 140 (1): 04013039. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000815.
Tao, M. X., and J. G. Nie. 2015. “Element mesh, section discretization and material hysteretic laws for fiber beam–column elements of composite structural members.” Mater. Struct. 48 (8): 2521–2544. https://doi.org/10.1617/s11527-014-0335-2.
Vecchio, F. J., and M. P. Collins. 1986. “The modified compression field theory for reinforced concrete elements subjected to shear.” ACI J. Proc. 83 (2): 219–231.
Vecchio, F. J., M. P. Collins, and J. Aspiotis. 1994. “High strength concrete elements subjected to shear.” ACI Struct. J. 91 (4): 423–433.
Wang, J. J., M. X. Tao, J. S. Fan, and X. Nie. 2018. “Seismic behavior of steel plate reinforced concrete composite shear walls under tension-bending-shear combined cyclic load.” J. Struct. Eng. 144 (7): 04018075. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002073.
Wang, Y. H., Q. Tang, and X. Nie. 2017. “Comparative investigation on influences of concrete material constitutive models on structural behavior.” Constr. Build. Mater. 144: 475–483. https://doi.org/10.1016/j.conbuildmat.2017.03.174.
Yamada, K., and Y. Aoyagi. 1983. “Shear transfer across cracks.” In Proc., JCI 2nd Colloquium on Shear Analysis of RC Structures, 19–26. Tokyo: Japan Concrete Institute.
Yoshikawa, H., T. Lida, K. Sumi, A. Nakagawa, and H. Yamagata. 1982. “Study on the shear behavior of reinforced concrete cylinders subjected to torsional loading.” In Proc., Annual Report of Hazama Institute, 157–173.
Zhang, L. X. 1995. “Constitutive laws of reinforced membrane elements with high strength concrete.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Univ. of Houston.
Zhao, Q. H. 2006. “Experimental and analytical studies of cyclic behavior of steel and composite shear wall systems.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Univ. of California.
Zhao, Q. H., and A. Astaneh-Asl. 2004. “Cyclic behavior of traditional and innovative composite shear walls.” J. Struct. Eng. 130 (2): 271–284. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:2(271).
Zhu, A. P. 2015. “Seismic behavior of embedded steel plate reinforced C80 concrete composite shear walls.” [In Chinese.] Ph.D. dissertation, China Academy of Building Research.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 145Issue 9September 2019

History

Received: Jun 10, 2018
Accepted: Dec 14, 2018
Published online: Jun 28, 2019
Published in print: Sep 1, 2019
Discussion open until: Nov 28, 2019

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Ph.D. Student, Key Laboratory of Civil Engineering Safety and Durability of China Education Ministry, National Engineering Laboratory for Green and Safe Construction Technology in Urban Rail Transit, Tsinghua Univ., Beijing 100084, China. ORCID: https://orcid.org/0000-0002-6728-2685.
Postdoctoral Researcher, Bridge Techology Research Center, Research Institute of Highway, Ministry of Transport, Beijing 100088, China. Email: [email protected]
Jian-Sheng Fan [email protected]
Professor, Key Laboratory of Civil Engineering Safety and Durability of China Education Ministry, Dept. of Civil Engineering, Tsinghua Univ., Beijing 100084, China. Email: [email protected]
Jerome F. Hajjar, F.ASCE [email protected]
CDM Smith Professor and Chair, Dept. of Civil and Environmental Engineering, Northeastern Univ., Boston, MA 02115. Email: [email protected]
Assistant Professor, Key Laboratory of Civil Engineering Safety and Durability of China Education Ministry, National Engineering Laboratory for Green and Safe Construction Technology in Urban Rail Transit, Tsinghua Univ., Beijing 100084, China (corresponding author). Email: [email protected]

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