Technical Papers
May 5, 2014

Analytical Model for the Pullout Behavior of Straight and Hooked-End Steel Fibers

Publication: Journal of Engineering Mechanics
Volume 140, Issue 12

Abstract

In the context of multiscale-oriented computational analyses of fiber-RC (FRC) structures, the modeling of single fiber pullout behavior represents the basic constituent to provide traction-displacement relations to be used for the modeling of FRC on a macroscopic scale. This essential ingredient needs to be formulated such that it only requires minimal computational effort. To this end, an analytical model for the pullout behavior of single fibers embedded in a concrete matrix for various configurations of fiber type, matrix strength, and embedment condition is proposed. An interface law is developed for the frictional behavior between the fiber and matrix. In the case of inclined fibers, the plastic deformation of the fiber and the local damage of concrete are also considered. For hooked-end fibers, the anchorage effect due to the deformed topology of the fiber ends is taken into account in the formulation. By combining these submodels, the pullout response of single fibers embedded in a concrete matrix is predicted. In addition, numerical simulations of pullout tests are performed to obtain insight into the local fiber-concrete interactions and provide supporting information for analytical modeling. The model is successfully validated by means of representative experimental results.

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Acknowledgments

Financial support was provided by the German Research Foundation (DFG) in the framework of project B2 of the Collaborative Research Center SFB 837. This support is gratefully acknowledged.

References

ABAQUS 6.10 [Computer software]. Providence, RI, Dassault Systèmes.
Alwan, J. M., Naaman, A. E., and Guerrero, P. (1999). “Effect of mechanical clamping on the pull-out response of hooked steel fibers embedded in cementitious matrices.” Concr. Sci. Eng., 1(1), 15–25.
Bentur, A., Diamond, S., and Mindess, S. (1985). “The microstructure of the steel fibre-cement interface.” J. Mater. Sci., 20(10), 3610–3620.
Bowles, J. E. (1996). Foundation analysis and design, 5th Ed., McGraw Hill, New York.
Breitenbücher, R., Meschke, G., Song, F., and Zhan, Y. (2014). “Experimental, analytical and numerical analysis of the pullout behaviour of steel fibres considering different fibre types, inclinations and concrete strengths.” Struct. Concr., in press.
Budiansky, B., and Hutchinson, J. W. (1986). “Matrix fracture in fiber-reinforced ceramics.” J. Mech. Phys. Solids, 34(2), 167–189.
Caratelli, A., Meda, A., Rinaldi, Z., and Romualdi, P. (2011). “Structural behaviour of precast tunnel segments in fiber reinforced concrete.” Tunnelling Underground Space Technol., 26(2), 284–291.
Chanvillard, G. (1999). “Modeling the pullout of wire-drawn steel fibers.” Cement Concr. Res., 29(7), 1027–1037.
Chen, X., Beyerlein, I. J., and Brinson, L. C. (2009a). “Curved-fiber pull-out model for nanocomposites. Part 1: Bonded stage formulation.” Mech. Mater., 41(3), 279–292.
Chen, X., Beyerlein, I. J., and Brinson, L. C. (2009b). “Curved-fiber pull-out model for nanocomposites. Part 2: Interfacial debonding and sliding.” Mech. Mater., 41(3), 293–307.
Cunha, V. M. C. F., Barros, J. A. O., and Sena-Cruz, J. M. (2010). “Pullout behavior of steel fibers in self-compacting concrete.” J. Mater. Civ. Eng., 1–9.
Deutsches Institut für Normung. (2000). “Tragwerke aus Beton, Stahlbeton und Spannbeton. Teil 1: Bemessung und Konstruktion.” DIN 1045-1, Berlin (in German).
Fantilli, A. P., and Vallini, P. (2007). “A cohesive interface model for the pullout of inclined steel fibers in cementitious matrixes.” J. Adv. Concr. Technol., 5(2), 247–258.
Gysel, A. V. (1999). “A pullout model for hooked end steel fibres.” Proc., 3rd Int. RILEM Workshop on High Performance Fiber Reinforced Cement Composites, H. W. Reinhardt and A. E. Naaman, eds., RILEM Publications, Bagneaux, France, 351–359.
Htut, T., and Foster, S. (2007). “X-ray imaging for the observation of mode I fracture in fibre reinforced concrete.” Proc., 5th Australasian Congress on Applied Mechanics, Engineers Australia, Brisbane, Australia, 120–125.
Kullaa, J. (1996). “Dimensional analysis of bond modulus in fiber pullout.” J. Struct. Eng., 783–787.
Laranjeira, F., Aguado, A., and Molins, C. (2010a). “Predicting the pullout response of inclined straight steel fibers.” Mater. Struct., 43(6), 875–895.
Laranjeira, F., Molins, C., and Aguado, A. (2010b). “Predicting the pullout response of inclined hooked steel fibers.” Cement Concr. Res., 40(10), 1471–1487.
Lawrence, P. (1972). “Some theoretical considerations of fibre pull-out from an elastic matrix.” J. Mater. Sci., 7(1), 1–6.
Leung, C. K. Y., and Shapiro, N. (1999). “Optimal steel fiber strength for reinforcement of cementitious materials.” J. Mater. Civ. Eng., 116–123.
Leung, C. K. Y., and Ybanez, N. (1997). “Pullout of inclined flexible fiber in cementitious composite.” J. Eng. Mech., 239–246.
Li, V. (1998). “Engineered cementitious composites—Tailored composites through micromechanical modeling.” Fiber reinforced concrete: Present and the future, N. Banthia, A. Bentur, and A. Mufti, eds., Canadian Society for Civil Engineering, Montréal, 64–97.
Li, V. C., and Stang, H. (1997). “Interface property characterization and strengthening mechanisms in fiber reinforced cement based composites.” Adv. Cement Base. Mater., 6(1), 1–20.
Lin, Z., and Li, V. C. (1997). “Crack bridging in fiber reinforced cementitious composites with slip-hardening interfaces.” J. Mech. Phys. Solids, 45(5), 763–787.
Marchese, B., and Marchese, G. (1993). “Fibre pullout-microstructural relationships for cementitious mortars.” J. Mater. Sci. Lett., 12(20), 1592–1595.
Markovich, I., van Mier, J. G. M., and Walraven, J. C. (2001). “Single fiber pullout from hybrid fiber reinforced concrete.” HERON, 46(3), 191–200.
Naaman, A., and Najm, H. (1991). “Bond-slip mechanisms of steel fibers in concrete.” ACI Mater. J., 88(2), 135–145.
Naaman, A., and Reinhardt, H. (1996). “Characterization of high performance fiber reinforced cement composites-HPFRCC.” Proc., 2nd Int. Workshop on High Performance Fiber Reinforced Cement Composites, CRC Press, Boca Raton, FL.
Naaman, A. E., Namur, G. G., Alwan, J. M., and Najm, H. S. (1991a). “Fiber pullout and bond slip. I: Analytical study.” J. Struct. Eng., 2769–2790.
Naaman, A. E., Namur, G. G., Alwan, J. M., and Najm, H. S. (1991b). “Fiber pullout and bond slip. II: Experimental validation.” J. Struct. Eng., 2791–2800.
Robins, P., Austin, S., and Jones, P. (2002). “Pull-out behaviour of hooked steel fibres.” Mater. Struct., 35(7), 434–442.
Song, F. (2012). “Effect of fibre properties and embedment conditions on fibre pullout behaviour from concrete matrix.” Proc., 9th fib Int. PhD Symp. in Civil Engineering, H. S. Müller, M. Haist, and F. Acosta, eds., KIT Scientific, Karlsruhe, Germany, 597–602.
Zhan, Y., and Meschke, G. (2012). “A multiscale model for the finite element analysis of steel fiber reinforced concrete.” Proc., IASS-IACM 2012: 7th Int. Conf. on Computational Mechanics for Spatial Structures, Faculty of Civil Engineering, Univ. of Sarajevo, Sarajevo, Bosnia-Herzegovina, 404–405.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 140Issue 12December 2014

History

Received: Sep 26, 2013
Accepted: Mar 31, 2014
Published online: May 5, 2014
Discussion open until: Oct 5, 2014
Published in print: Dec 1, 2014

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Authors

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Ph.D. Candidate, Institute for Structural Mechanics, Ruhr-Univ. Bochum, Universitätsstraße 150, 44801 Bochum, Germany. E-mail: [email protected]
G. Meschke, M.ASCE [email protected]
Professor, Institute for Structural Mechanics, Ruhr-Univ. Bochum, Universitätsstraße 150, 44801 Bochum, Germany (corresponding author). E-mail: [email protected]

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