Title:
Analysis of Steel Fiber-Reinforced Concrete Elements Subjected to Shear
Author(s):
Seong-Cheol Lee, Jae-Yeol Cho, and Frank J. Vecchio
Publication:
Structural Journal
Volume:
113
Issue:
2
Appears on pages(s):
275-285
Keywords:
finite elements; shear strain; shear strength; steel fiber; steel fiber-reinforced concrete (SFRC)
DOI:
10.14359/51688474
Date:
3/1/2016
Abstract:
In this paper, a rational analysis procedure is presented for modeling the shear behavior of steel fiber-reinforced concrete (SFRC) elements. In the development of the analysis procedure, the Disturbed Stress Field Model (DSFM), based on the Modified Compression Field Theory (MCFT), is modified by implementing constitutive models for SFRC, which are derived from the Diverse Embedment Model (DEM). For the contribution of steel fibers, a local stiffness matrix for fibers has been developed separately from those for concrete matrix and conventional reinforcement. The composite element stiffness matrix for an SFRC element with conventional reinforcement is then derived by superposing the three local stiffness matrixes. In the element stiffness matrix, the effect of shear slip at a crack is also taken into account by considering the resistance due to steel fibers against shear stress on crack surface. Through comparisons with the test results of SFRC panels previously reported in the literature, it is shown that the actual shear behavior of SFRC panels are accurately predicted by the proposed analysis procedure, not only for the shear strength but also for the shear strain at the failure. Through implementation into finite element analysis programs, the analysis procedure developed in this paper can be useful in the modeling of SFRC members and structures also containing conventional reinforcement.
Related References:
1. Petersson, P. E., “Fracture Mechanical Calculations and Tests for Fiber-Reinforced Cementitious Materials,” Proceedings of Advances in Cement-Matrix Composites, Materials Research Society, Boston, MA, 1980, pp. 95-106.
2. Li, Z.; Li, F.; Chang, T.-Y. P.; and Mai, Y.-W., “Uniaxial Tensile Behavior of Concrete Reinforced with Randomly Distributed Short Fibers,” ACI Materials Journal, V. 95, No. 5, Sept.-Oct. 1998, pp. 564-574.
3. Groth, P., “Fibre Reinforced Concrete—Fracture Mechanics Methods Applied on Self-Compacting Concrete and Energetically Modified Binders,” doctorate thesis, Luleå University of Technology, Department of Civil and Mining Engineering, Division of Structural Engineering, Luleå, Sweden, 2000, 237 pp.
4. Barragán, B. E.; Gettu, R.; Martín, M. A.; and Zerbino, R. L., “Uniaxial Tension Test for Steel Fibre Reinforced Concrete—A Parametric Study,” Cement and Concrete Composites, V. 25, No. 7, 2003, pp. 767-777. doi: 10.1016/S0958-9465(02)00096-3
5. Lim, T. Y.; Paramasivam, P.; and Lee, S. L., “Analytical Model for Tensile Behavior of Steel-Fiber Concrete,” ACI Materials Journal, V. 84, No. 4, July-Aug. 1987, pp. 286-298.
6. Marti, P.; Pfyl, T.; Sigrist, V.; and Ulaga, T., “Harmonized Test Procedures for Steel Fiber-Reinforced Concrete,” ACI Materials Journal, V. 96, No. 6, Nov.-Dec. 1999, pp. 676-686.
7. Voo, J. Y. L., and Foster, S. J., “Variable Engagement Model for Fibre Reinforced Concrete in Tension,” Uniciv Report No. R-420, University of New South Wales, School of Civil and Environmental Engineering, June 2003, 86 pp.
8. Lee, S.-C.; Cho, J.-Y.; and Vecchio, F. J., “Diverse Embedment Model for Fiber-Reinforced Concrete in Tension: Model Development,” ACI Materials Journal, V. 108, No. 5, Sept.-Oct. 2011, pp. 516-525.
9. Lee, S.-C.; Cho, J.-Y.; and Vecchio, F. J., “Diverse Embedment Model for Fiber-Reinforced Concrete in Tension: Model Verification,” ACI Materials Journal, V. 108, No. 5, Sept.-Oct. 2011, pp. 526-535.
10. Lee, S.-C.; Cho, J.-Y.; and Vecchio, F. J., “Simplified Diverse Embedment Model for Steel Fiber-Reinforced Concrete Elements in Tension,” ACI Materials Journal, V. 110, No. 4, July-Aug. 2013, pp. 403-412.
11. CEB-FIP, “CEB-FIP Model Code 2010 Final Draft,” Comité Euro-International du Béton, Lausanne, Switzerland, 2011, 653 pp.
12. BS EN 14651, “Test Method for Metallic Fibre Concrete – Measuring the Flexural Tensile Strength (Limit of Proportionality (LOP), Residual,” British Standards Institution, London, UK, 2007, pp. 1-20.
13. Dinh, H. H.; Parra-Montesinos, G. J.; and Wight, J. K., “Shear Behavior of Steel Fiber-Reinforced Beams without Stirrup Reinforcement,” ACI Structural Journal, V. 107, No. 5, Sept.-Oct. 2010, pp. 597-606.
14. Susetyo, J.; Gauvreau, P.; and Vecchio, F. J., “Effectiveness of Steel Fiber as Minimum Shear Reinforcement,” ACI Structural Journal, V. 108, No. 4, July-Aug. 2011, pp. 488-496.
15. ACI Committee 318, “Building Code Requirements for Structural Concrete (ACI 318-11) and Commentary,” American Concrete Institute, Farmington Hills, MI, 2011, 503 pp.
16. Susetyo, J.; Gauvreau, P.; and Vecchio, F. J., “Steel Fiber-Reinforced Concrete Panels in Shear: Analysis and Modeling,” ACI Structural Journal, V. 110, No. 2, Mar.-Apr. 2013, pp. 285-295.
17. Vecchio, F. J., “Disturbed Stress Field Model for Reinforced Concrete: Formulation,” Journal of Structural Engineering, ASCE, V. 126, No. 9, 2000, pp. 1070-1077. doi: 10.1061/(ASCE)0733-9445(2000)126:9(1070)
18. Vecchio, F. J., “Disturbed Stress Field Model for Reinforced Concrete: Implementation,” Journal of Structural Engineering, ASCE, V. 127, No. 1, 2001, pp. 12-20. doi: 10.1061/(ASCE)0733-9445(2001)127:1(12)
19. Lee, S.-C.; Cho, J.-Y.; and Vecchio, F. J., “Tension-Stiffening Model for Steel Fiber-Reinforced Concrete Containing Conventional Reinforcement,” ACI Structural Journal, V. 110, No. 4, July-Aug. 2013, pp. 639-648.
20. Bentz, E. C., “Sectional Analysis of Reinforced Concrete Members,” doctorate thesis, Department of Civil Engineering, University of Toronto, Toronto, ON, Canada, 2000, 184 pp.
21. Wong, P. S.; Vecchio, F. J.; and Trommels, H., “VecTor2 & FormWorks User’s Manual, second edition,” University of Toronto, Department of Civil Engineering, Toronto, ON, Canada, Aug. 2013, 318 pp.
22. Vecchio, F. J., and Collins, M. P., “The Modified Compression Field Theory for Reinforced Concrete Elements Subjected to Shear,” ACI Journal Proceedings, V. 83, No. 2, Mar.-Apr. 1986, pp. 219-231.
23. Lee, S.-C.; Oh, J.-H.; and Cho, J.-Y., “Compressive Behavior of Fiber-Reinforced Concrete with End-Hooked Steel Fibers,” Materials, V. 8, 2015, pp. 1442-1458. doi: 10.3390/ma8041442
24. Bentz, E. C., “Explaining the Riddle of Tension Stiffening Models for Shear Panel Experiments,” Journal of Structural Engineering, ASCE, V. 131, No. 9, 2005, pp. 1422-1425. doi: 10.1061/(ASCE)0733-9445(2005)131:9(1422)
25. Deluce, J. R.; Lee, S.-C.; and Vecchio, F. J., “Crack Model for Steel Fiber-Reinforced Concrete Members Containing Conventional Reinforcement,” ACI Structural Journal, V. 111, No. 1, Jan.-Feb. 2014, pp. 93-102.
26. Vecchio, F. J., and Lai, D., “Crack Shear-Slip in Reinforced Concrete Elements,” Journal of Advanced Concrete Technology, V. 2, No. 3, 2004, pp. 289-300. doi: 10.3151/jact.2.289