Triaxial Constitutive Law for Ultra-High-Performance Concrete and Other Fiber-Reinforced Cementitious Materials
Publication: Journal of Engineering Mechanics
Volume 146, Issue 7
Abstract
This paper presents a triaxial constitutive model for fiber-reinforced cementitious materials (FRCM), with an emphasis on ultra-high-performance concrete (UHPC). The model accounts for the multiaxial stress-strain behavior of the cementitious matrix and the fiber stress-versus-slip response. The distributed cracking due to the presence of fibers, the fiber confinement effect on the compressive response of the composite material, and the effect of fiber orientation on the material response are also accounted for in the proposed formulation. The new material model is calibrated and validated using material test data on UHPC. The capability of the model to allow the simulation of structural components is verified through the analysis of structural components made of UHPC.
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Data Availability Statement
The input files and experimental results for the material specimens used during this study are available from the corresponding author by request.
References
Adebar, P., S. Mindess, D. St.-Pierre, and B. Olund. 1997. “Shear tests of fiber concrete beams without stirrups.” ACI Struct. J. 94 (1): 68–76.
Belletti, B., R. Cerioni, A. Meda, and G. Plizzari. 2008. “Design aspects on steel fiber-reinforced concrete pavements.” J. Mater. Civ. Eng. 20 (9): 599–607. https://doi.org/10.1061/(ASCE)0899-1561(2008)20:9(599).
Bencardino, F., L. Rizzuti, G. Spadea, and R. N. Swamy. 2010. “Experimental evaluation of fiber reinforced concrete fracture properties.” Compos. Part B: Eng. 41 (1): 17–24. https://doi.org/10.1016/j.compositesb.2009.09.002.
Bolander, J. E., S. Choi, and S. R. Duddukuri. 2008. “Fracture of fiber-reinforced cement composites: Effects of fiber dispersion.” Int. J. Fract. 154 (1–2): 73–86. https://doi.org/10.1007/s10704-008-9269-4.
Caner, F. C., Z. P. Bažant, and R. Wendner. 2013. “Microplane model M7f for fiber reinforced concrete.” Eng. Fract. Mech. 105 (Jun): 41–57. https://doi.org/10.1016/j.engfracmech.2013.03.029.
Cunha, V., J. Barros, and J. M. Sena-Cruz. 2010. “Pullout behavior of steel fibers in self-compacting concrete.” J. Mater. Civ. Eng. 22 (1): 1–9. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000001.
Cunha, V., J. Barros, and J. M. Sena-Cruz. 2011. “An integrated approach for modelling the tensile behaviour of steel fibre reinforced self-compacting concrete.” Cem. Concr. Res. 41 (1): 64–76. https://doi.org/10.1016/j.cemconres.2010.09.007.
Dacanay, T. C. 2016. “Ultra-high performance concrete shear walls in tall buildings.” Masters thesis, Dept. of Civil and Environmental Engineering, Virginia Tech.
El-Helou, R., and B. Graybeal. 2019. “The ultra girder: A design concept for a 300-foot single span prestressed ultra high-performance concrete bridge girder.” In Proc., 2nd Int. Interactive Symp. on Ultra-High Performance Concrete. Ames, NY: Iowa State Univ.
El-Helou, R. G. 2016. “Multiscale computational framework for analysis and design of ultra-high performance concrete structural components and systems.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Virginia Tech. https://vtechworks.lib.vt.edu/handle/10919/73381.
Ferreira, L. 2007. “Fracture analysis of a high-strength concrete and a high-strength steel-fiber-reinforced concrete.” Mech. Compos. Mater. 43 (5): 479–486. https://doi.org/10.1007/s11029-007-0045-8.
Graybeal, B. 2006a. Material property characterization of ultra-high performance concrete. McLean, VA: Federal Highway Administration.
Graybeal, B. 2006b. Structural behavior of ultra-high performance concrete prestressed I-girders. McLean, VA: Federal Highway Administration.
Graybeal, B. 2014. Design and construction of field-cast UHPC connections. McLean, VA: Federal Highway Administration.
Haber, Z., I. De La Varga, B. Graybeal, B. Nakashoji, and R. El-Helou. 2018. Properties and behavior of UHPC-class materials. McLean, VA: Federal Highway Administration.
Kabele, P. 2007. “Multiscale framework for modeling of fracture in high performance fiber reinforced cementitious composites.” Eng. Fract. Mech. 74 (1–2): 194–209. https://doi.org/10.1016/j.engfracmech.2006.01.020.
Kang, H. D., K. Willam, 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.
Khuntia, M., B. Stojadinovic, and S. C. Goel. 1999. “Shear strength of normal and high-strength fiber reinforced concrete beams without stirrups.” ACI Struct. J. 96 (2): 282–289.
Kwak, Y. K., M. O. Eberhard, W. S. Kim, and J. Kim. 2002. “Shear strength of steel fiber-reinforced concrete beams without stirrups.” ACI Struct. J. 99 (4): 530–538.
Lee, J., and G. L. Fenves. 2001. “A return-mapping algorithm for plastic-damage models: 3-D and plane stress formulation.” Int. J. Numer. Methods Eng. 50 (2): 487–506. https://doi.org/10.1002/1097-0207(20010120)50:2%3C487::AID-NME44%3E3.0.CO;2-N.
Lepech, M. D., and V. C. Li. 2009. “Water permeability of engineered cementitious composites.” Cem. Concr. Compos. 31 (10): 744–753. https://doi.org/10.1016/j.cemconcomp.2009.07.002.
Li, F., and Z. Li. 2001. “Continuum damage mechanics based modeling of fiber reinforced concrete in tension.” Int. J. Solids Struct. 38 (5): 777–793. https://doi.org/10.1016/S0020-7683(00)00034-2.
Li, V. C. 2003. “On engineered cementitious composites (ECC).” J. Adv. Concr. Technol. 1 (3): 215–230. https://doi.org/10.3151/jact.1.215.
Lim, D. H., and B. H. Oh. 1999. “Experimental and theoretical investigation on the shear of steel fibre reinforced concrete beams.” Eng. Struct. 21 (10): 937–944. https://doi.org/10.1016/S0141-0296(98)00049-2.
Lin, Z., T. Kanda, and V. C. Li. 1999. “On interface property characterization and performance of fiber reinforced cementitious composites.” J. Concr. Sci. Eng. 1: 173–184.
Markovic, I. 2006. “High-performance hybrid-fibre concrete.” Ph.D. dissertation, Dept. of Civil Engineering and Geosciences, Delft Univ.
Maya Duque, L. F., I. De La Varga, and B. A. Graybeal. 2016. “Fiber reinforcement influence on the tensile response of UHPFRC.” In Proc., 1st Int. Interactive Symp. on UHPC. Ames, IA: Iowa University Press.
Maya Duque, L. F., and B. Graybeal. 2016. “Fiber orientation distribution and tensile mechanical response in UHPFRC.” Mater. Struct. 50 (1): 55. https://doi.org/10.1617/s11527-016-0914-5.
Meade, T., and B. Graybeal. 2010. “Flexural response of lightly reinforced ultra-high performance concrete beams.” In Proc., 3rd fib Int. Congress, International Federation for Structural Concrete, 17. Lausanne, Switzerland: fib Press.
Mehta, K., and P. Monteiro. 2014. Concrete: Microstructure, properties, and materials. 4th ed. New York: McGraw-Hill.
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.
Naaman, A. 1972. A statistical theory of strength for fiber reinforced concrete. Cambridge, MA: Massachusetts Institute of Technology.
Naaman, A. E., and H. Najm. 1991. “Bond-slip mechanisms of steel fibers in concrete.” ACI Mater. J. 88 (2): 135–145.
Peng, X., and C. Meyer. 2000. “A continuum damage mechanics model for concrete reinforced with randomly distributed short fibers.” Comput. Struct. 78 (4): 505–515. https://doi.org/10.1016/S0045-7949(00)00045-6.
Pros, A., P. Diez, and C. Molins. 2012. “Modeling steel fiber reinforced concrete: Numerical immersed boundary approach and a phenomenological mesomodel for concrete-fiber interaction.” Int. J. Numer. Methods Eng. 90 (1): 65–86. https://doi.org/10.1002/nme.3312.
Radtke, F., A. Simone, and L. J. Sluys. 2010. “A computational model for failure analysis of fibre reinforced concrete with discrete treatment of fibres.” Eng. Fract. Mech. 77 (4): 597–620. https://doi.org/10.1016/j.engfracmech.2009.11.014.
Russel, H., and B. Graybeal. 2013. Ultra-high performance concrete: A state-of-the-art report for the bridge community. McLean, VA: Federal Highway Administration.
Schauffert, E. A., and G. Cusatis. 2012. “Lattice discrete particle model for fiber-reinforced concrete. I: Theory.” J. Eng. Mech. 138 (7): 826–833. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000387.
Schauffert, E. A., G. Cusatis, D. Pelessone, and J. L. O’Daniel. 2011. “Lattice discrete particle model (LDPM) for failure behavior of concrete. II: Calibration and validation.” Cem. Concr. Compos. 33 (9): 891–905.
Smith, J., G. Cusatis, D. Pelessone, E. Landis, J. O’Daniel, and J. Baylot. 2014. “Discrete modeling of ultra-high-performance concrete with application to projectile penetration.” Int. J. Impact Eng. 65: 13–32. https://doi.org/10.1016/j.ijimpeng.2013.10.008.
Sovjak, R., F. Vogel, and B. Beckmann. 2013. “Triaxial compressive strength of ultra high performance concrete.” J. Adv. Eng. 53 (6): 901–905. https://doi.org/10.14311/AP.2013.53.0901.
Taylor, R. L., and S. Govindjee. 2017. FEAP-A finite element analysis program version 8.5 user manual. Berkeley, CA: Univ. of California.
Van Mier, J. 1997. Fracture processes in concrete. Boca Ratton, FL: CRC Press.
Voo, Y. L., W. K. Poon, and S. J. Foster. 2010. “Shear strength of steel fiber-reinforced ultrahigh-performance concrete beams without stirrups.” J. Struct. Eng. 136 (11): 1393–1400. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000234.
Wille, K., S. El-Tawil, and A. E. Naaman. 2014. “Properties of strain hardening ultra high performance fiber reinforced concrete (UHP-FRC) under direct tensile loading.” Cem. Concr. Compos. 48: 53–66. https://doi.org/10.1016/j.cemconcomp.2013.12.015.
Wille, K., D. J. Kim, and A. E. Naaman. 2010. “Strain-hardening UHP-FRC with low fiber contents.” Mater. Struct. 44 (3): 583–598. https://doi.org/10.1617/s11527-010-9650-4.
Wille, K., and A. E. Naaman. 2013. “Effect of ultra-high-performance concrete on pullout behavior of high-strength brass-coated straight steel fibers.” ACI Mater. J. 110 (4): 451–462.
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©2020 American Society of Civil Engineers.
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Received: May 11, 2019
Accepted: Dec 30, 2019
Published online: Apr 23, 2020
Published in print: Jul 1, 2020
Discussion open until: Sep 23, 2020
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