Plasticity Model for Hybrid Fiber-Reinforced Concrete under True Triaxial Compression
Publication: Journal of Engineering Mechanics
Volume 140, Issue 2
Abstract
Based on the experimental background of 75 true triaxial compression tests conducted on cubic specimens, a plasticity constitutive model for hybrid steel-polypropylene fiber-RC (HFRC) is developed in this study, aiming to accurately predict the strength and deformation of HFRC under various loading scenarios. A five-parameter Willam-Warnke failure surface is modified to account for the presence of hybrid fibers. The evolution of the loading surface is characterized by uncoupled hardening and softening regimes determined by the accumulated equivalent plastic strain, and a Drucker-Prager nonassociated plastic flow is used to describe the plastic deformation. Various model parameters are mainly calibrated on the basis of true triaxial compression test data. Subsequently, the responses of the constitutive model are verified by multiaxial compression test results of both plain concrete and fiber-RC reported by various researchers. It is observed that a good estimation of the strength and the deformation capacity of HFRC with varying fiber volume fractions and aspect ratios can be achieved by the proposed model.
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Acknowledgments
The authors are grateful for the support granted by China Scholarship Council (CSC) funding. This study is part of the National Science Foundation of China (NSFC) project (No. 51078295). The authors thank the reviewers for valuable comments and suggestions that have contributed to a significant improvement of the paper.
References
ABAQUS 6.10-2 (2010). Reference manuals, Hibbitt, Karlsson and Sorensen, Pawtucket, RI.
American Concrete Institute (ACI) Committee 544. (1982). “State-of-the-art report on fiber reinforced concrete.” ACI 544.1R-82, Detroit.
American Concrete Institute (ACI) Committee 544. (1996). “Report on fiber reinforced concrete.” ACI 544.1R-96, Detroit.
Ansari, F., and Li, Q. (1998). “High-strength concrete subjected to triaxial compression.” ACI Mater. J., 95(6), 747–755.
Attard, M. M., and Setunge, S. (1996). “Stress-strain relationship of confined and unconfined concrete.” ACI Mater. J., 93(5), 432–442.
Babu, R. R., Gurmail, S. B., and Arbind, K. S. (2006). “Plasticity-based constitutive model for concrete in stress space.” Lat. Am. J. Solids Struct., 3(4), 417–441.
Bayasi, Z., and Zeng, J. (1993). “Properties of polypropylene fiber reinforced concrete.” ACI Mater. J., 90(6), 605–610.
Belarbi, A., and Hsu, T. T. C. (1995). “Constitutive laws of softened concrete in biaxial tension compression.” ACI Struct. J., 92(5), 562–573.
Bentur, A., and Mindess, S. (1990). Fiber reinforced cementitious composites, Elsevier Applied Science, London.
Chen, W. F. (1982). Plasticity in reinforced concrete, McGraw Hill, New York.
Chen, W. F., and Han, D. J. (1988). Plasticity for structural engineers, Springer, New York.
Chern, J. C., Yang, H. J., and Chen, H. W. (1992). “Behavior of steel fiber reinforced concrete in multiaxial loading.” ACI Mater. J., 89(1), 32–40.
Chi, Y. (2012). “Plasticity theory based constitutive modelling of hybrid fibre reinforced concrete.” Ph.D. thesis, Univ. of Nottingham, Nottingham, U.K.
China Standardization. (2002). “Standard for test method of mechanical properties on ordinary concrete.” GB/T50081-2002, China Academy of Building Research, Beijing.
China Standardization. (2004). “Technical specification for fiber reinforced concrete structures.” CECS 38:2004, China Association for Engineering Construction Standardization, Beijing.
Darwin, D., and Pecknold, D. A. (1977). “Nonlinear biaxial stress-strain law for concrete.” J. Engrg. Mech. Div., 103(2), 229–241.
di Prisco, M., Plizzari, G., and Vandewalle, L. (2009). “Fiber reinforced concrete: New design perspectives.” Mater. Struct., 42(9), 1261–1281.
Grassl, P., Lundgren, K., and Gylltoft, K. (2002). “Concrete in compression: A plasticity theory with a novel hardening law.” Int. J. Solids Struct., 39(20), 5205–5223.
Guo, Z. H. (1997). The strength and deformation of concrete—Experimental results and constitutive relationship, Tsinghua University Press, Beijing.
Hsu, L. H., and Hsu, C. T. T. (1994). “Stress-strain behavior of steel-fiber high-strength concrete under compression.” ACI Struct. J., 91(4), 448–457.
Hu, X. D., Day, R., and Dux, P. (2003). “Biaxial failure model for fiber reinforced concrete.” J. Mater. Civ. Eng., 609–615.
Huang, C. K. (2004). Structure of fiber reinforced concrete, China Machine Press, Beijing.
Hussein, A., and Marzouk, H. (2000). “Behavior of high-strength concrete under biaxial stresses.” ACI Mater. J., 97(1), 27–36.
Imran, I., and Pantazopoulou, S. J. (2001). “Plasticity model for concrete under triaxial compression.” J. Eng. Mech., 281–290.
Jiao, C. J., and Zhan, Z. F. (2007). “Experimental study of hybrid fiber reinforced concrete under compression.” J. Guangzhou Univ., 6(4), 70–73.
Kotsovos, M. D., and Newman, J. B. (1978). “Generalized stress-strain relations for concrete.” J. Engrg. Mech. Div., 104(4), 845–856.
Kupfer, H., Hilsdorf, H. K., and Rusch, H. (1969). “Behavior of concrete under biaxial stresses.” ACI J. Proc., 66(8), 656–666.
Lim, D. H., and Nawy, E. G. (2005). “Behaviour of plain and steel-fiber-reinforced high-strength concrete under uniaxial and biaxial compression.” Mag. Concr. Res., 57(10), 603–610.
Lu, X., and Hsu, C. T. T. (2006). “Behavior of high strength concrete with and without steel fiber reinforcement in triaxial compression.” Cem. Concr. Res., 36(9), 1679–1685.
Murugappan, K., Paramasivam, P., and Tan, K. H. (1993). “Failure envelope for steel fiber concrete under biaxial compression.” J. Mater. Civ. Eng., 436–446.
Nataraja, M. C., Dhang, N., and Gupta, A. P. (1999). “Stress strain curve for steel-fiber reinforced concrete under compression.” Cem. Concr. Compos., 21(5–6), 383–390.
Papanikolaou, V. K., and Kappos, A. J. (2007). “Confinement-sensitive plasticity constitutive model for concrete in triaxial compression.” Int. J. Solids Struct., 44(21), 7021–7048.
Seow, P. E. C., and Swaddiwudhipong, S. (2005). “Failure surface for plain concrete and SFRC under multi-axial loads—A unified approach.” J. Mater. Civ. Eng., 219–228.
Sloan, S. W. (1987). “Substepping schemes for the numerical integration of elastoplastic stress-strain relations.” Int. J. Numer. Methods Eng., 24(5), 893–911.
Song, Y. P., Zhao, G. F., and Peng, F. (1996). “Strength behavior and failure criterion of steel fiber concrete under triaxial stresses.” J. Civ. Eng., 3(27), 14–23.
Swamy, R. N., and Barr, B. (1989). Fiber reinforced cements and concretes: Recent developments, Elsevier, New York.
Tasuji, I., Slate, F., and Nilson, A. (1978). “Stress-strain response and fracture of concrete in biaxial loading.” ACI J. Proc., 75(7), 306–312.
Traina, L. A., and Mansour, S. A. (1991). “Biaxial strength and deformational behavior of plain and steel fiber concrete.” ACI Mater. J., 88(4), 354–362.
William, K. J., and Warnke, E. P. (1974). “Constitutive model for the triaxial behaviour of concrete (paper III-l).” Proc., Seminar on Concrete Structures Subjected to Triaxial Stresses, Int. Association of Bridge and Structural Engineering, Zurich, Switzerland.
Yin, W., Su, E., Mansour, M., and Hsu, T. (1989). “Biaxial tests of plain and fiber concrete.” ACI Mater. J., 86(3), 236–243.
Yu, H. S. (2006). Plasticity and geotechnics, Springer, New York.
Yun, H. D., Yang, I. S., and Kim, S. W. (2007). “Mechanical properties of high-performance hybrid-fiber reinforced cementitious composites (HPHFRCCs).” Mag. Concr. Res., 59(4), 257–271.
Zhang, Y. (2010). “Study on uniaxial compressive constitutive relationship and uniaxial tensile behavior of steel-polypropylene hybrid fiber reinforced concrete.” Ph.D. thesis, Wuhan Univ., Wuhan, China.
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© 2014 American Society of Civil Engineers.
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Received: Nov 30, 2012
Accepted: Apr 30, 2013
Published online: May 2, 2013
Published in print: Feb 1, 2014
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