TECHNICAL PAPERS
Jan 1, 1986

Crack Propagation in Fiber‐Reinforced Concrete

Publication: Journal of Structural Engineering
Volume 112, Issue 1

Abstract

A fracture mechanics‐based theoretical model is presented to predict the crack propagation resistance of fiber‐reinforced cement‐based composites. Mode I crack propagation and steel fibers are treated in the roposed model. The mechanism of fracture resistance for fiber‐reinforced concrete can be separated as: Subcritical crack growth in the matrix and the beginning of the fiber bridging effect; post‐critical crack growth in the matrix such that the net stress intensity factor due to the applied load and the fiber‐bridging closing stresses remains constant; and a final stage where the resistance to crack separation is provided exclusively by fibers. The response of fiber‐reinforced concrete during all these stages was successfully predicted from the knowledge of matrix fracture properties and the pull‐out load versus slip relationship of single fiber. The model was verified with the results of experiments conducted on notched beams reported here as well as by other researchers. Beams were loaded in a closed‐loop testing machine in order to maintain a constant rate of crack mouth opening displacement.

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References

1.
Ballarini, R., Shah, S. P., and Keer, L. M., “Crack Growth in Cement Based Composites,” Engineering Fracture Mechanics, Vol. 20, No. 3, 1984, pp. 433–445.
2.
Burakiewicz, A., “Testing of Fiber Bond Strength in Cement Matrix,” Proceedings, International Symposium, RILEM‐ACI‐ASTM, Sheffield, England, Sept., 1978, pp. 355–365.
3.
Bowling, J., and Groves, G. W., “The Propagation of Cracks in Composites Consisting of Ductile Wires in a Brittle Matrix,” Journal of Materials Science, Vol. 14, 1979, pp. 443–449.
4.
Diamond, S., and Bentur, A., “On the Cracking of Concrete and Fiber‐Reinforced Cement,” Application of Fracture Mechanics to Cementitious Composites, S. P. Shah, Ed., Martinus Nijhoff Publishers, Dordrecht, The Netherlands, 1985, pp. 87–140.
5.
Foote, R. M. L., Cotterell, B., and Mai, Y. W., “Crack Growth Resistance Curve for a Cement Composite,” Advances in Cement Matrix Composites, Proceedings, Symposium L., Materials Research Society, Annual Meeting, Boston, MA, Nov. 17–18, 1980, pp. 135–144.
6.
Hillerborg, A., “Analysis of Fracture by Means of the Fictitious Crack Model, Particularly for Fiber Reinforced Concrete,” International Journal of Cement Composites, Vol. 2, No. 4, Nov., 1980, pp. 177–184.
7.
Jenq, Y. S., and Shah, S. P., “Nonlinear Fracture Parameters for Cement Based Composites: Theory and Experiments,” Application of Fracture Mechanics to Cementitious Composites, S. P. Shah, Ed., Martinus Nijhoff Publishers, Dordrecht, The Netherlands, 1985, pp. 319–359.
8.
Jenq, Y. S., and Shah, S. P., “A Fracture Toughness Criterion for Concrete,” Engineering Fracture Mechanics, Vol. 21, No. 5, 1985, pp. 1055–1069.
9.
Jenq, Y. S., and Shah, S. P., “Two Parameter Fracture Model for Concrete,” Journal of Engineering Mechanics, ASCE, Vol. 111, No. 4, Oct., 1985, pp. 1227–1241.
10.
Johnston, C. D., and Gray, R. J., “Uniaxial Tensile Testing of Steel Fiber Reinforced Cementitious Composites,” Proceedings, International Symposium, RILEM‐ACI‐ASTM, Sheffield, England, Sept., 1978, pp. 451–462.
11.
Lenian, J. C., and Bunsell, A. R., “The Resistance to Crack Growth of Asbestos Cement,” Journal of Materials Science, Vol. 14, 1979, pp. 321–332.
12.
Naaman, A. E., and Shah, S. P., “Pull‐out Mechanism in Steel Fiber Reinforced Concrete,” Journal of the Structural Division, ASCE, Vol. 102, No. ST8, Aug., 1976, pp. 1537–1548.
13.
Petersson, P. E., “Fracture Mechanics Calculations and Tests for Fiber‐Reinforced Cementitious Materials,” Advances in Cement‐Matrix Composites, Proceedings, Symposium L., Materials Research Society, Annual Meeting, Boston, MA, Nov. 17–18, 1980, pp. 95–106.
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15.
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17.
Velazco, G., Visalvanich, K., and Shah, S. P., “Fracture Behavior and Analysis of Fiber Reinforced Concrete Beams,” Cement and Concrete Research, Vol. 10, Jan., 1980, pp. 41–51.
18.
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19.
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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 112Issue 1January 1986
Pages: 19 - 34

History

Published online: Jan 1, 1986
Published in print: Jan 1986

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Y. S. Jenq, S. M. ASCE
Grad. Research Asst., Northwestern Univ., Evanston, IL
S. P. Shah, M. ASCE
Prof. of Civ. Engrg., Northwestern Univ., Evanston, IL

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