Technical Papers
May 2, 2013

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.

Get full access to this article

View all available purchase options and get full access to this article.

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.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 140Issue 2February 2014
Pages: 393 - 405

History

Received: Nov 30, 2012
Accepted: Apr 30, 2013
Published online: May 2, 2013
Published in print: Feb 1, 2014

Permissions

Request permissions for this article.

Authors

Affiliations

Yin Chi, A.M.ASCE [email protected]
Ph.D. Student, Nottingham Centre for Geomechanics (NCG), Faculty of Engineering, Univ. of Nottingham, C10 Coates Building, University Park, Nottingham NG72RD, U.K. E-mail: [email protected]
Professor, School of Civil Engineering, Wuhan Univ., 8 South Rd. of East Lake, WuChang 430072, China (corresponding author). E-mail: [email protected]
Professor, Nottingham Centre for Geomechanics(NCG), Faculty of Engineering, Univ. of Nottingham, C10 Coates Building, University Park, Nottingham NG72RD, U.K. E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share