Failure Surface for Concrete under Multiaxial Load—a Unified Approach
Publication: Journal of Materials in Civil Engineering
Volume 17, Issue 2
Abstract
A new unified five-parameter failure surface has been proposed for use with normal strength (NC), high strength (HSC), and steel fiber-reinforced (SFRC) concrete under biaxial, triaxial, or axisymmetric loads. The study covers concrete with strengths ranging from . The failure surface developed for plain concrete has been modified to account for the presence of steel fibers. The proposed failure surface was verified against experimental data of unconfined NC, HSC, and SFRC under multiaxial loads, as well as concrete confined by steel tubes. To facilitate the implementation of the failure surface into a finite-element package, a closed-form solution for predicting the state of stress in concrete has been developed. This failure criterion was successfully incorporated into constitutive models for plain concrete and SFRC. Experiments of plain concrete cubes and SFRC plates under multiaxial loads, as well as SFRC beams under two-point load, were modeled to illustrate the application of the failure surface to a wide range of concrete under varying load conditions. Good agreement between analytical and experimental results is observed.
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References
Candappa, D. C., Sanjayan, J. G., and Setunge, S. (2001). “Complete triaxial stress-strain curves of high-strength concrete.” J. Mater. Civ. Eng., 13(3), 209–215.
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.
Guo, Z. H. (1997). The strength and deformation of concrete—experimental results and constitutive relationship, Tsinghua University Press, Beijing (in Chinese).
Hobbs, D. W. (1970). “Strength and deformation properties of plain concrete subjected to combined stress. Part 1: Strength results obtained on one concrete.” Technical Rep. 42, Cement and Concrete Association, London, 451, 1–12.
Hong, M., Kiousis, P. D., Ehsani, M. R., and Saadatmanesh, H. (2001). “Confinement effects on high-strength concrete.” ACI Struct. J., 98(4), 548–553.
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. (1996). “Experimental study of plain concrete under triaxial stress.” ACI Mater. J., 93(6), 589–601.
Jiang, L. H., Huang, D. H., and Xie, N. X. (1991). “Behavior of concrete under triaxial compressive-compressive-tensile stresses.” ACI Mater. J., 88(2), 181–185.
Kotsovos, M. D. (1979). “A mathematical description of the strength properties of concrete under generalized stress.” Mag. Concrete Res., 31(128), 151–158.
Kupfer, H. B., and Gerstle, K. H. (1973). “Behavior of concrete under biaxial stresses.” J. Eng. Mech. Div., 99(4), 853–866.
Lahlou, K., Aictin, P. C., and Chaallal, O. (1992). “Behavior of high-strength concrete under confined stresses.” Cem. Concr. Compos., 14, 185–193.
Li, Q. B., and Ansari, F. (1999). “Mechanics of damage and constitutive relationships for high-strength concrete in triaxial compression.” J. Eng. Mech., 125(1), 1–10.
Lim, T. Y. (1987). “Elastic and post-cracking behavior of steel fiber concrete.” PhD thesis, National Univ. of Singapore, Singapore.
Liu, J., and Foster, S. J. (2000). “3-dimensional finite element model for confined concrete structures.” Compos. Struct., 77(5), 441–451.
Mattar, S. N. H. (2003). “Behavior of fiber reinforced concrete structures using finite element method.” BEng thesis, National Univ. of Singapore, Singapore.
Mills, L. L., and Zimmerman, R. M. (1970). “Compressive strength of plain concrete under multiaxial loading conditions.” ACI J., 67(70), 802–807.
Murugappan, K., Paramasivam, P., and Tan, K. H. (1993). “Failure envelope for steel-fiber concrete under biaxial compression.” J. Mater. Civ. Eng., 5(4), 436–446.
O’Shea, M. D., and Bridge, R. Q. (2000). “Design of circular thin-walled concrete filled steel tubes.” J. Struct. Eng., 126(11), 1295–1303.
Ottosen, N. S. (1977). “A failure criterion for concrete.” J. Eng. Mech. Div., 103(4), 527–535.
Padmarajaiah, S. K., and Ramaswamy, A. (2002). “A finite element assessment of flexural strength of prestressed concrete beams with fiber reinforcement.” Cem. Concr. Compos., 24, 229–241.
Setunge, S., Attard, M. M., and Darvall, P. L. (1993). “Ultimate strength of confined very high-strength concretes.” ACI Struct. J., 90(6), 632–641.
Taliercio, A. L. F., Berra, M., and Pandolfi, A. (1999). “Effect of high-intensity sustained triaxial stresses on the mechanical properties of plain concrete.” Mag. Concrete Res., 51(6), 437–447.
Taliercio, A. L. F., and Gobbi, E. (1997). “Effect of elevated triaxial cyclic and constant loads on the mechanical properties of plain concrete.” Mag. Concrete Res., 49(181), 353–365.
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.
Tho, K. K., Seow, P. E. C., and Swaddiwudhipong, S. (2003). “Numerical method for analysis of concrete under multi-axial loads.” Mag. Concrete Res., 55(6), 537–547.
Van Mier, J. G. (1984). “Strain softening of concrete under multiaxial loading condition.” PhD thesis, Eindhoven University of Technology, Eindhoven, The Netherlands.
William, K. J., and Warnke, E. P. (1974). “Constitutive model for the triaxial behavior of concrete.” Proc., IABSE Seminar on Concrete Structures Subject to Triaxial Stresses 19, International Association for Bridge and Structural Engineering, Zurich, 11–30.
Xie, J., Elwi, A. E., and MacGregor, J. G. (1995). “Mechanical properties of three high-strength concretes containing silica fume.” ACI Mater. J., 92(2), 135–145.
Yin, W. S., Su, E. C. M., Mansur, M. A., and Hsu, T. T. C. (1989). “Biaxial tests of plain and fiber concrete.” ACI Mater. J., 86(3), 236–243.
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© 2005 ASCE.
History
Received: Oct 15, 2003
Accepted: Sep 7, 2004
Published online: Apr 1, 2005
Published in print: Apr 2005
Notes
Note. Associate Editor: Jason Weiss
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