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Fracture Mechanics of Interfaces

Published online by Cambridge University Press:  21 February 2011

Surendra P. Shah
Affiliation:
Northwestern University, Department of Civil Engineering, Director, Center of Concrete and Geomaterials, Evanston, IL 60201
Yeou-Shang Jenq
Affiliation:
The Ohio State University, Department of Civil Engineering, Columbus, Ohio 43210
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Abstract

Interfacial bond properties between fibers and matrix are investigated in the present paper. A fiber pull-out test, which is commonly used to study the interfacial bond strength of fiber-matrix system, is analyzed. The bonding between fibers and matrix is assumed to be perfect before the pull-out load is applied. Griffith energy criterion is used to govern the crack propagation at the interfacial region when debonding begins. A constant frictional shear stress, which may be a result of existence of surface roughness at the interface, is assumed to exist at the wake of debonding region. Based on this mechanism, the total pull-out load can be decomposed as: resistance offered by the interfacial bond and resistance offered by the frictional stress. The proposed approach is applicable to any elastic fiber and matrix system, but only the results of steel fibers and reinforcing bar in a cementitious matrix are reported. The proposed model correctly predicts several experimental trends of bond strengths reported by other researchers. Furthermore, theoretical predictions of progressive failure of bond cracks are found to be in good agreement with a holographic interferometry study on a pull-out test.

Type
Research Article
Copyright
Copyright © Materials Research Society 1988

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References

REFERENCES

1. Gopalaratnam, V.S., and Shah, S.P., Journal of Engineering Mechanics, ASCE, May 1987.Google Scholar
2. Mindess, S., Fracture Mechanics of Concrete, Editor: Wittmann, F. H., Elsevier Science Publishers, Amsterdam, 1983.Google Scholar
3. Gray, R. J., Journal of Materials Science,V. 19, 1984, pp. 861870.CrossRefGoogle Scholar
4. Stang, H. and Shah, S.P., Journal of Materials Science, V21, 1985, pp. 953957.CrossRefGoogle Scholar
5. Stang, H. and Shah, S.P., Proceedings, International Conference on Fracture Mechanics of Concrete, Lausanne, 1985, pp. 339–349.Google Scholar
6. Morrison, J.K., “Analysis of the Debonding and Pull-out Process in Fiber Composites,” MS thesis, Northwestern University, June 1987.Google Scholar
7. Maage, M., Proceedings RILEM Symposium on Testing and Test Methods of Fiber Cement Composites, The Construction Press, Ltd., 1978, pp. 329–336.Google Scholar
8. Maage, M., Material and Structures,V. 10, N. 59, Sept.-Oct. 1977, pp.297301.Google Scholar
9. Jenq, Y.S. and Shah, S.P., Journal of Engineering Mechanics, V. 111, No. 10, Oct. 1985, pp. 12271241.CrossRefGoogle Scholar
10. Bien, J., “Holographic Interferometry Study of the Steel-Concrete Bond in Pull-out Testing,” Stevin Report 1-86-9, May 1986, Delft University of Technology.Google Scholar
11. Gray, R.J., Journal of Materials Science, V. 19, 1984, pp. 16801691.CrossRefGoogle Scholar
12. Mandel, J.A., Wei, S., and Said, S., ACI Journal, Vol.84, No. 2, March-April, 1987.Google Scholar
13. Swamy, R.N., Fracture Mechanics of Concrete, Editor: Wittmann, F.H., Elsevier Science Publishers, Amsterdam, 1983, pp. 411461.Google Scholar
14. Naaman, A.E., and Shah, S.P., Journal of Structure Division, ASCE, V. 102, N. ST8, Aug. 1976, pp. 139150.Google Scholar
15. Ferguson, P.M. and Thompson, J.N., ACI Journal, July 1962, pp. 887–917.CrossRefGoogle Scholar