Pullout Problem: Stress versus Fracture Mechanical Approach
Publication: Journal of Engineering Mechanics
Volume 116, Issue 10
Abstract
The pullout of a single fiber from a brittle matrix is widely recognized as one of the basic tests to be performed to provide information about the expected behavior of a given fiber‐reinforced brittle matrix composite material. Thus, it is of great importance that the pullout test be interpreted in a way that yields the true material parameters. Two approaches to the fiber/matrix debonding problem can be made: (1) The stress approach where the criterion for growth of the debonded fiber/matrix interface is expressed in terms of the interfacial stress; and (2) the fracture mechanical approach where the criterion for interfacial debonding is expressed in terms of energy equilibrium. This paper investigates these two approaches by applying both to the same model, which includes frictional stresses on the debonded interface. The debonding load‐versus‐crack length relationships predicted by the two approaches are compared and differences in the parametric dependency are discussed. The results predicted by the fracture mechanical approach are compared with available experimental results.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Atkinson, C., et al. (1982). “The rod pull out problem, theory and experiment.” J. Mech. Phys. Solids., 30(3), 97–120.
2.
Bień, J. (1986). “Holographic interferometry study of the steel concrete bond in pullout testing.” Report 1‐86‐9, Stevin Lab., Delft Univ. of Tech., Delft, the Netherlands.
3.
Bień, J., and Stroeven, P. (1988). “Holographic interferometry study of debonding between steel and concrete.” Engineering applications of new composites, S. A. Paipetis and G. C. Papanicolaou, eds., Omega Scientific, Wallingford, Oxon, England, 213–218.
4.
Bowling, J., and Groves, G. W. (1979). “The debonding and pull‐out of ductile wires from a brittle matrix.” J. Mater. Sci., 14, 431–442.
5.
Budiansky, B., and Amazigo, J. C. (1989). “Toughening by aligned, frictionally constrained fibers.” J. Mech. Phys. Solids, 37(1), 93–109.
6.
Budiansky, B., Hutchinson, J. W., and Evans, A. G. (1986). “Matrix fracture in fiber‐reinforced ceramics.” J. Mech. Phys. Solids, 34(2), 167–189.
7.
Gao, Y. C. (1987). “Debonding along the interface of composites.” Mech. Res. Communications, 14(2), 67–72.
8.
Gray, R. J. (1984). “Analysis of the effect of embedded fibre length on fibre debonding and pull‐out from an elastic matrix. Part 1. Review of theories.” J. Mater. Sci., 19(3), 861–870.
9.
Jenq, Y. S., and Shah, S. P. (1986). “Application of two parameter fracture model to concrete and fiber reinforced concrete.” Fracture toughness and fracture energy of concrete, F. H. Whittmann, ed., Elsevier Science Publishers, B. V., Amsterdam, the Netherlands, 499–512.
10.
Lawrence, P. (1972). “Some theoretical considerations of fibre pull‐out from an elastic matrix.” J. Mater. Sci., 7(1), 1–6.
11.
Laws, V. (1982). “Micromechanical aspects of the fibre‐cement bond.” Composites, 13, Apr., 145–151.
12.
Luk, V. K., and Keer, L. M. (1979). “Stress analysis for an elastic half space containing an axially‐loaded rigid cylindrical rod.” Int. J. Solids Struct., 15(10), 805–827.
13.
Marmonier, M. F., et al. (1988). “A study of the pull‐out test by a finite element method.” J. Theoretical Appl. Mech., 7(16), 741–765 (in French).
14.
Mori, T., and Mura, T. (1984). “An inclusion model for crack arrest in fiber reinforced materials.” Mech. Mater., 3(3), 193–198.
15.
Morrison, J. K., Shah, S. P., and Jenq, Y.‐S. (1988). “Analysis of fiber debonding and pullout in composites.” J. Engrg. Mech., ASCE, 114(2), 277–294.
16.
Muki, R., and Sternberg, E. (1970). “Elastostatic load‐transfer to a half‐space from a partially embedded axially loaded rod.” Int. J. Solids Struct., 6(1), 69–90.
17.
Nammur, G., and Naaman, A. E. (1989). “Bond stress model for fiber reinforced concrete based on bond stress‐slip relationship.” ACI Mater. J., 86(1), 45–57.
18.
Phan‐Thien, N. (1980). “A contribution to the rigid fibre pull‐out problem.” Fibre Sci. Tech., 13(3), 179–186.
19.
Phan‐Thien, N., and Goh, C. J. (1981). “On the fibre pull‐out problem.” J. Appl. Math. Mech., ZAMM, 61, 89–97.
20.
Phan‐Thien, N., Pantelis, G., and Bush, M. B. (1982). “On the elastic fibre pullout problem: Asymptotic and numerical results.” J. Appl. Math. Phys., ZAMP, 33(2), 251–265.
21.
Rossi, P., et al. (1986). “Comparison between plain concrete toughness and steel fibre reinforced concrete toughness.” Fracture toughness and fracture energy of concrete, F. H. Wittmann, ed., Elsevier Science Publishers B. V., Amsterdam, the Netherlands, 525–534.
22.
Selvadurai, A. P. S. (1983). “Concentrated body force loading of an elastically bridged penny shaped flaw in a unidirectional fibre reinforced composite.” Int. J. Fract., 21(2), 149–159.
23.
Stang, H. (1985). “The fibre pull‐out problem: An analytical investigation.” Series R, No 204, Dept. of Struct. Engrg., Tech. Univ. of Denmark, Lyngby, Denmark.
24.
Stang, H. (1987). “A double inclusion model for microcrack arrest in fibre reinforced brittle materials.” J. Mech. Phys. Solids, 35(3), 325–342.
25.
Stang, H., and Shah, S. P. (1986a). “Failure of fibre‐reinforced composites by pullout fracture.” J. Mater. Sci., 21(3), 953–957.
26.
Stang, H., and Shah, S. P. (1986b). “Fracture mechanical interpretation of the fibre/matrix debonding process in cementitious composites.” Fracture toughness and fracture energy of concrete, F. H. Wittmann, ed., Elsevier, Amsterdam, the Netherlands, 513–523.
27.
Steif, P. S., and Hoysan, S. F. (1986). “On load transfer between imperfectly bonded constituents.” Mech. Mater., 5(4), 375–382.
28.
Sternberg, E., and Muki, R. (1970). “Load‐absorption by a filament in a fiber‐reinforced material.” J. Appl. Math. Phys., ZAMP, 21(4), 553–569.
Information & Authors
Information
Published In
Copyright
Copyright © 1990 ASCE.
History
Published online: Oct 1, 1990
Published in print: Oct 1990
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.