Biaxial Failure Model for Fiber Reinforced Concrete
Publication: Journal of Materials in Civil Engineering
Volume 15, Issue 6
Abstract
Steel fiber reinforced concrete (SFRC) is widely applied in the construction industry. Numerical elastoplastic analysis of the macroscopic behavior is complex. This typically involves a piecewise linear failure curve including corner singularities. This paper presents a single smooth biaxial failure curve for SFRC based on a semianalytical approximation. Convexity of the proposed model is guaranteed so that numerical problems are avoided. The model has sufficient flexibility to closely match experimental results. The failure curve is also suitable for modeling plain concrete under biaxial loading. Since this model is capable of simulating the failure states in all stress regimes with a single envelope, the elastoplastic formulation is very concise and simple. The finite element implementation is developed to demonstrate the conciseness and the effectiveness of the model. The computed results display good agreement with published experimental data.
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References
ACI Committee 544 (1974). “State of the art report of fiber reinforced concrete.” Fiber Reinforced Concrete, ACI Publ. No. SP-44, Detroit, 535–551.
ACI Committe 544. (1988). “Design consideration for steel fiber reinforced concrete.” ACI Struct. J., 85(5), 563–580.
Brandt, A. M., Kasperkiewicz, J., Kotsovos, M. D., and Newman, J. B.(1981). “Preliminary tests of SFRC under triaxial loading.” Int. J. Cem. Compos. Lightweight Concr., 3(4), 261–266.
Buyukozturk, O.(1977). “Nonlinear analysis of reinforced concrete structures.” Comput. Struct., 7, 149–156.
Carino, N. J., and Slate, F. O.(1976). “Limit tensile strain criterion for failure of concrete.” ACI J., 73(3), 160–165.
Chen, W. F. (1982). Plasticity in reinforced concrete, McGraw-Hill, 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.
Ehm, C., and Schneider, U.(1985). “The high temperature behavior of concrete under biaxial conditions.” Cem. Concr. Res., 15, 27–34.
Faruque, M. O. (1987). “A cap type constitutive model for plain concrete.” in Constitutive laws for engineering materials: Theory and applications, C. S. Desai, et al., eds., Elsevier, New York, I, 395–402.
Feenstra, P. H., and de Borst, R.(1996). “A composite plasticity model for concrete.” Int. J. Solids Struct., 33(5), 707–730.
Khennane, A., and Baker, G.(1992a). “Plasticity models for the biaxial behavior of concrete at elevated temperatures, Part I: Failure criterion.” Comput. Methods Appl. Mech. Eng., 100, 207–223.
Khennane, A., and Baker, G.(1992b). “Plasticity models for the biaxial behavior of concrete at elevated temperatures, Part II: Implementation and simulation test.” Comput. Methods Appl. Mech. Eng., 100, 225–248.
Kordina, K., Ehm, C., and Schneider, U. (1985). “Effect of biaxial loading on the high temperature behavior of concrete.” in Proc., 1st Symp. of Fire Safty Science, Gaithersburg, Md.
Kullaa, J.(1994). “Constitutive modeling of fiber-reinforced concrete under uniaxial tensile loading.” Composites, 25(10), 935–944.
Leung, C. K. Y., and Li, V. C.(1990). “Applications of a two-way debonding theory to short fiber composites.” Composites, 21(4), 305–317.
Leung, C. K. Y., and Li, V. C.(1992). “Effect of fiber inclination on crack bridging stress in brittle fiber reinforced brittle matrix composites.” J. Mech. Phys. Solids, 40(6), 1333–1362.
Li, V. C., Mishra, D. K., and Wu, H.-C.(1995). “Matrix design for pseudo-strain-hardening fiber reinforced cementitious composites.” Mater. Struct., 28, 586–595.
Lin, F. B., Bazant, Z. P., Chern, J. C., and Marchertas, A. H.(1987). “Concrete model with normality and sequential identification.” Comput. Struct., 26(6), 1011–1025.
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.
Ottosen, N. S.(1977). “A failure criterion for concrete.” J. Eng. Mech. Div., 103(4), 527–535.
Otter, D. E., and Naaman, A. E.(1988). “Properties of steel fiber reinforced concrete under cyclic loading.” ACI Mater. J., 85(4), 254–261.
Owen, D. R. J., and Hinton, E. (1980). Finite element method in plasticity: Theory and practice, Swansea, Pineridge.
Pankaj, and Bicanic, N.(1997). “Detection of multiple active yield conditions for Mohr–Coulomb elastoplasticity.” Comput. Struct., 62(1), 51–61.
Pantazopoulou, S. J., and Zanganeh, M.(2001). “Triaxial tests of fiber-reinforced concrete.” J. Mater. Civ. Eng., 13(5), 340–348.
Patton, M. E., and Whittaker, W. L.(1983). “Effects of fiber content and damaging load on steel fiber reinforced concrete stiffness.” ACI J., 80(1), 13–16.
Rosenthal, I., and Glucklich, J.(1970). “Strength of plain concrete under biaxial stress.” ACI J., 67(11), 903–914.
Runesson, K., Sture, S., and Willam, K.(1988). “Integration in computational plasticity.” Comput. Struct., 30(1/2), 119–130.
Shah, S. P.(1991). “Do fibers increase the tensile strength of cement-based matrixes?.” ACI Mater. J., 88(6), 595–602.
Tanigawa, Y., and Hatanaka, S.(1983). “Stress–strain relations of steel fiber reinforced concrete under repeated compressive load.” Cem. Concr. Res., 13, 801–808.
Tasuji, M. E., Slate, F. O., and Nilson, A. H.(1978). “Stress–strain response and fracture of concrete in biaxial loading.” ACI Mater. J., 75, 306–312.
Traina, L. A., and Mansour, S. A.(1990). “Discussion on ‘Biaxial tests of plain and fiber concrete’ by Yin, W. S., Su, E. C. M., Mansur, M. A., and Hsu, T. T. C.” ACI Mater. J., 87(2), 179–180.
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.
Voyiadjis, G. Z., and Abulebdeh, T. M.(1992). “Biaxial testing of repaired concrete.” ACI Mater. J., 89(6), 564–573.
Voyiadjis, G. Z., and Abulebdeh, T. M.(1993). “Analytical formulation of the biaxial behavior of concrete repair material.” ACI Mater. J., 90(1), 26–33.
Willam, K. J., and Warnke, E. P. (1974). “Constitutive models for the triaxial behavior of concrete.” Proc., IABSE Seminar on Concr. Struc. Subjected Triaxial Stresses, Bergamo, Italy, Paper No. III-1.
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.
Zaman, M., Najjar, Y. M., and Faruque, M. O.(1993). “Modeling of stress–strain behavior of plain concrete using a plasticity framework.” Mater. Struct., 26, 129–135.
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Published In
Journal of Materials in Civil Engineering
Volume 15 • Issue 6 • December 2003
Pages: 609 - 615
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Dec 6, 2000
Accepted: Apr 24, 2002
Published online: Nov 14, 2003
Published in print: Dec 2003
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