Fracture Mechanics of Bond in Reinforced Concrete
Publication: Journal of Structural Engineering
Volume 110, Issue 4
Abstract
A new approach is taken to predict numerically the bond‐slip behavior of a reinforcing bar embedded in concrete. Attention is focused on radial, secondary cracking. This cracking is found not to follow the principles of linear elastic fracture mechanics, and therefore is modeled using a nonlinear, discrete crack, interface and finite element approach. A new method for finite element modeling of nonlinear fracture is presented. A “tension‐softening element” is introduced for the purpose of modeling bond‐slip in practical reinforced concrete engineering problems. Finally, as an example, a reinforced concrete tension diaphragm is analyzed.
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References
1.
Arrea, M., Mixed‐Mode Crack Propagation in Mortar and Concrete, thesis presented to Cornell University, at Ithaca, N.Y., in 1982, in partial fulfillment of the requirements for the degree of Master of Science.
2.
Bazant, Z., and Cedolin, L., “Blunt Crack Band Propagation in Finite Element Analysis,” Journal of the Engineering Mechanics Division, ASCE, Vol. 105, No. EM2, Apr., 1979, pp. 297–315.
3.
Bazant, Z., and Cedolin, L., “Fracture Mechanics of Reinforced Concrete,” Journal of the Engineering Mechanics Division, ASCE, Vol. 106, No. EM6, Dec., 1980, pp. 1287–1306.
4.
Bresler, B., and Bertero, V., “Behavior of Reinforced Concrete Under Repeated Load,” Journal of the Structural Division, ASCE Vol. 94, No. ST6, June, 1968, pp. 1567–1589.
5.
Broms, B., and Raab, A., “The Fundamental Concepts of the Cracking Phenomenon in Reinforced Concrete Beams,” Report No. 310, Department of Structural Engineering, Cornell University, Sept., 1961.
6.
Catalano, D., “Concrete Fracture: A Linear Elastic Fracture Mechanics Approach,” thesis presented to Cornell University, at Ithaca, N.Y., in 1982, in partial fulfillment of the requirements for the degree of Master of Science.
7.
Evans, R. H., and Marathe, M. S., “Microcracking and Stress‐Strain Curves for Concrete in Tension,” Materiaux et Constructions, Vol. 1, No. 1, Jan.–Feb., 1968, pp. 61–64.
8.
Fenwick, R., and Paulay, T., “Mechanisms of Shear Resistance of Concrete Beams,” Journal of the Structural Division, ASCE, Vol. 94, No. ST10, Oct., 1968, pp. 2325–2350.
9.
Gijsbers, F. B. J., de Groot, A. K., and Kusters, G. M. A., “A Numerical Model for Bond‐Slip Problems,” IASS, Darmstadt, 1978.
10.
Goto, Y., and Otsuka, K., “Experimental Studies on Cracks Formed in Concrete Around Deformed Tension Bars,” reprinted from: The Technology Report of the Tohoku University, Vol. 44, No. 1, June, 1979, pp. 49–83.
11.
Hillerborg, A., “A Model for Frature Analysis,” Report TVBM‐3005, Division of Building Materials, Lund Institute of Technology, 1978.
12.
Hillerborg, A., Modeer, M., and Petersson, P. E., “Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements,” Cement and Concrete Research, Vol. 6, No. 6, 1976, pp. 773–782.
13.
Lutz, L. A., and Gergely, P., “Mechanics of Bond and Slip of Deformed Bars in Concrete,” American Concrete Institute Journal, Nov., 1967.
14.
Mindess, S., “The Cracking and Fracture of Concrete: An Annotated Bibliography, 1928–1980,” Materials Research Series Report No. 2, The University of British Columbia, Dept. of Civil Engineering, Vancouver, B.C., Mar., 1981.
15.
Modeer, M., “A Fracture Mechanics Approach to Failure Analyses of Concrete Materials,” Division of Building Materials, University of Lund, Report TVBM‐1001, Lund, Sweden, 1979.
16.
Nilson, A. H., “Bond Stress‐Slip Relations in Reinforced Concrete,” Report No. 345, Dec., 1971.
17.
Petersson, P. E., “Crack Growth and Development of Fracture Zones in Plain Concrete and Similar Materials,” Lund Institute of Technology, Report TVBM‐1006, 1981.
18.
Saouma, V. E., and Ingraffea, A. R., “Fracture Mechanics Analysis of Discrete Cracking,” Proceedings, IABSE Colloquium on Advanced Mechanics of Reinforced Concrete, Delft, June, 1981, pp. 393–416.
19.
Saouma, V. E., “Interactive Finite Element Analysis of Reinforced Concrete: A Fracture Mechanics Approach,” Report No. 81‐5, Department of Structural Engineering, Cornell University, Jan., 1981.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 110 • Issue 4 • April 1984
Pages: 871 - 890
Copyright
Copyright © 1984 ASCE.
History
Published online: Apr 1, 1984
Published in print: Apr 1984
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