TECHNICAL PAPERS
Mar 1, 2001

Fictitious Crack Propagation in Fiber-Reinforced Concrete Beams

Publication: Journal of Engineering Mechanics
Volume 127, Issue 3

Abstract

A nonlinear cracked hinge model is developed, aimed at the analysis of the bending fracture of fiber-reinforced concrete beams. The model is based on the fracture mechanics concepts of the fictitious crack model with a bilinear stress-crack opening relationship. Closed-form solutions are presented for the moment-rotation relationship of the hinge as a crack propagates, and the case of a nonzero normal force is covered. Special shapes of the stress-crack opening relationship are treated separately. These shapes are the so-called drop-linear and the drop-horizontal for which simplified expressions are obtained. The applicability of the hinge model is demonstrated through analysis of the bending fracture process in the case of a three-point bending beam and an infinitely long beam on a Winkler foundation, the latter analysis comprising the effect of a constant tensile normal force.

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References

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Casanova, P., and Rossi, P. ( 1997). “Analysis and design of steel fiber-reinforced concrete beams.” ACI Struct. J., 94(5), 595–602.
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Hillerborg, A. ( 1980). “Analysis of fracture by means of the fictitious crack model, particularly for fiber-reinforced concrete.” Int. J. Cement. Comp., 2(4), 177–184.
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Hillerborg, A., Modéer, M., and Petersson, P. ( 1976). “Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements.” Cement and Concrete Res., 6(6), 773–782.
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Pedersen, C. ( 1996). “New production processes, materials, and calculation techniques for fiber-reinforced concrete pipes.” PhD thesis, Dept. of Struct. Engrg. and Mat., Technical University of Denmark, Lyngby, Denmark.
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Stang, H., and Olesen, J. F. ( 1998). “On the interpretation of bending tests on FRC materials.” Proc., FRAMCOS-3, Fracture Mech. of Concrete Struct., H. Mihashi and K. Rokugo, eds., Vol. I, Aedificatio Publishers, Freiburg, Germany, 511–520.
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Stang, H., and Olesen, J. F. ( 2000). “A fracture mechanics-based design approach to FRC.” Proc., 5th RILEM Symp. on Fiber-Reinforced Concretes (FRCs), BEFIB 2000.
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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 127Issue 3March 2001
Pages: 272 - 280

History

Received: Feb 3, 2000
Published online: Mar 1, 2001
Published in print: Mar 2001

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Authors

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John Forbes Olesen
Asst. Res. Prof., Dept. of Struct. Engrg. and Mat., Tech. Univ. of Denmark, Lyngby, Denmark.

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