TECHNICAL PAPERS
Jul 1, 1996

Dimensional Analysis of Bond Modulus in Fiber Pullout

Publication: Journal of Structural Engineering
Volume 122, Issue 7

Abstract

To evaluate the stress-crack opening relationship of fiber-reinforced composites, the properties of the constituents and the fiber-matrix interface should be known. The properties of the fibers and the matrix can fairly easy be determined, whereas those of the interface must be measured indirectly. In several fiber pullout analyses, a linear relationship between the bond shear stress and the slip is assumed in the elastic range. In this paper, the value of the bond modulus is studied using dimensional analysis and the finite element method. The value of the bond modulus was seen to depend on the fiber diameter, fiber volume content, and the modulus of elasticity of the fiber and the matrix. A diagram is shown, from which the values for the bond modulus can be read. The numerical results agree reasonably with the theory by Budiansky et al. However, the results are substantially higher than the limited available experimental data. A possible reason is that the Poisson's contraction can cause the debonding near the fiber free end even with low pullout loads.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Alwan, J. M., Naaman, A. E., and Hansen, W.(1991). “Pull-out work of steel fibers from cementitious composites: Analytical investigation.”Cement and Concrete Composites, 13, 247–255.
2.
Aveston, J., and Kelly, A.(1973). “Theory of multiple fracture of fibrous composites.”J. Mat. Sci., 8, 352–362.
3.
Bentur, A., and Mindess, S. (1990). Fibre reinforced cementitious composites . Elsevier Science Publishers, Ltd., London, U.K.
4.
Budiansky, B., Hutchinson, J. W., and Evans, A. G.(1986). “Matrix fracture in fiber-reinforced ceramics.”J. Mech. Phys. Solids, 34(2), 167–189.
5.
Langhaar, H. L. (1980). Dimensional analysis and theory of models . Robert E. Krieger Publishing Co., Huntington, N.Y.
6.
Leung, C. K. Y. (1992). “Fracture-based two-way debonding model for discontinuous fibres in elastic matrix.”J. Engrg. Mech., ASCE, 118(11), 2298–2318.
7.
Leung, C. K. Y., and Li, V. C.(1990). “Applications of a two-way debonding theory to short fibre composites.”Composites, 21(4), 305–317.
8.
Li, V. C., and Chan, Y.-W.(1994). “Determination of interfacial debond mode for fibre-reinforced cementitious composites.”J. Engrg. Mech., ASCE, 120(4), 707–719.
9.
Lim, T. Y., Paramasivam, P., and Lee, S. L.(1987). “Analytical model for tensile behavior of steel-fiber concrete.”ACI Mat. J., 84(4), 286–298.
10.
Malvern, L. E. (1969). Introduction to the mechanics of a continuous medium . Prentice-Hall, Inc., Englewood Cliffs, N.J.
11.
Naaman, A. E., Namur, G. G., Alwan, J. M., and Najm, H. S.(1991a). “Fiber pullout and bond slip. I: Analytical study.”J. Struct. Engrg., ASCE, 117(9), 2769–2790.
12.
Naaman, A. E., Namur, G. G., Alwan, J. M., and Najm, H. S.(1991b). “Fiber pullout and bond slip. II: Experimental validation.”J. Struct. Engrg., ASCE, 117(9), 2791–2800.
13.
Nammur, G. Jr., and Naaman, A. E.(1989). “Bond stress model for fibre reinforced concrete based on bond stress-slip relationship.”ACI Mat. J., 86(1), 45–57.
14.
Stang, H., Li, Z., and Shah, S. P.(1990). “Pullout problem: Stress versus fracture mechanical approach.”J. Engrg. Mech., 116(10), 2136–2150.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 122Issue 7July 1996
Pages: 783 - 787

History

Published online: Jul 1, 1996
Published in print: Jul 1996

Permissions

Request permissions for this article.

Authors

Affiliations

Jyrki Kullaa
Res. Sci., VTT (Tech. Res. Ctr. of Finland), Building Technol., P.O. Box 1807, FIN-02044 VTT, Finland.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share