TECHNICAL PAPERS
Jul 1, 2007

Analytical Model for Tensile Strain Hardening and Multiple Cracking Behavior of Hybrid Fiber-Engineered Cementitious Composites

Publication: Journal of Materials in Civil Engineering
Volume 19, Issue 7

Abstract

An analytical model for the design of strain-hardening and multiple-cracking behavior of engineered cementitious composites (ECC) containing hybrid fibers is proposed. The model predicts first crack strength and ultimate bridging strength of hybrid fiber ECC. The model also predicts the minimum (critical) volume fraction of fibers required to exhibit strain-hardening and multiple-cracking behavior in uniaxial tension. The model is verified with the experimental results of hybrid fiber ECC specimens. A parametric study is also performed, using this model, to evaluate the effects of fiber length, diameter, and interfacial bond strength on the first crack strength, the ultimate bridging strength and the critical volume fraction of fibers. It is shown that the critical volume fraction of fibers in hybrid fiber composites can be optimized by proper selection of fiber length, diameter, and interfacial bond strength. Low modulus fibers are found to have a more pronounced effect on the strain-hardening and multiple-cracking behaviors of hybrid fiber composites compared to high modulus fibers. The hybrid fiber concept is found to offer additional freedom in the design variables compared to composite containing one type of fiber.

Get full access to this article

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

Acknowledgments

The first writer would like to acknowledge the financial assistance in term of Graduate Research Scholarship from the National University of Singapore.

References

Ahmed, S. F. U., Maalej, M., and Paramasivam, P. (2003). “Strain-hardening behavior of hybrid fiber reinforced cement composites.” J. Ferrocement, 33(3), 172–182.
Ahmed, S. F. U., Maalej, M., and Paramasivam, P. (2007). “Flexural responses of hybrid steel-polyethylene fiber reinforced cement composites containing high volume fly ash.” Constr. Build. Mater., 21(5), 1088–1097.
Banthia, N., and Gupta, R. (2004). “Hybrid fiber reinforced concrete (HyFRC): Fiber synergy in high strength matrices.” Mater. Struct., 37, 707–716.
Chan, Y., and Li, V. C. (1997). “Effects of transition zone densification on fiber/cement paste bond strength improvement.” Adv. Cem. Based Mater., 5, 8–17.
Jenq, Y., and Shah, S. P. (1985). “Two parameter fracture model for concrete.” J. Eng. Mech., 111(10), 1227–1241.
Kanda, T., and Li, V. C. (1999). “New micromechanics design theory for pseudostrain hardening cementitious composite.” J. Eng. Mech., 125(4), 373–381.
Kanda, T., Lin, Z., and Li, V. C. (2000). “Tensile stress-strain modeling of pseudostrain hardening cementitious composite.” J. Mater. Civ. Eng., 12(2), 147–156.
Lawn, B. (1993). Fracture of brittle solids, Cambridge Academic, Cambridge, Mass., 30–35.
Li, V. C. (1992). “Postcrack scaling relations for fiber reinforced cementitious composites.” J. Mater. Civ. Eng., 4(1), 41–57.
Li, V. C., Chan, C. M., and Leung, C. K. Y. (1987). “Experimental determination of the tension softening relations for cementitious composites.” Cem. Concr. Res., 17, 441–452.
Li, V. C., and Chan, Y. W. (1994). “Determination of interfacial debond mode for fiber-reinforced cementitious composites.” J. Eng. Mech., 120(4), 707–719.
Li, V. C., and Leung, C. K. (1992). “Steady-state and multiple cracking of short random fiber composites.” J. Eng. Mech., 118(11), 2246–2264.
Li, V. C., Stang, H., and Krenchel, H. (1993). “Micromechanics of crack bridging in fiber-reinforced concrete.” Mater. Struct., 26, 486–494.
Li, V. C., Wang, S., and Wu, C. (2001). “Tensile strain hardening behavior of polyvinyl alcohol engineered cementitious composites (PVA-ECC).” ACI Mater. J., 98(6), 483–492.
Li, V. C., Wang, Y., and Backer, S. (1991). “A micro-mechanical model of tension softening and bridging toughness of short random fiber reinforced brittle matrix composites.” J. Mech. Phys. Solids, 39(5), 607–625.
Li, V. C., and Wu, H. C. (1992). “Conditions for pseudo strain-hardening in fiber reinforced brittle matrix composites.” Appl. Mech. Rev., 45(8), 390–398.
Maalej, M., Li, V. C., and Hashida, T. (1995). “Effect of fiber rupture on tensile properties of short fiber composites.” J. Eng. Mech., 121(8), 903–913.
Marshall, D. B., Cox, B. N., and Evans, A. G. (1985). “The mechanics of matrix cracking in brittle matrix fiber composites.” Acta Metall., 3(11), 2013–2021.
Naaman, A. E. (2002). “Toughness, ductility, surface energy, and deflection hardening FRC composites.” Proc., JCI Int. Workshop on Ductile Fiber Reinforced Cementitious Composites (DFRCC), K. Rokugo and H. Fukuyama, eds., Takayama, Japan, 33–57.
Naaman, A. E., and Reinhardt, H. W. (1996). “Characterization of high performance fiber reinforced cement composites.” Proc., 2nd Int. RILEM Workshop, Mich., 1–24.
Nathan, G. K., Paramasivam, P., and Lee, S. L. (1977). “Tensile behavior of fiber reinforced cement paste.” J. Ferrocement, 7(2), 59–79.
Soroushion, P., and Lee, C. D. (1990). “Distribution and orientation of fiber in steel fiber reinforced concrete.” ACI Mater. J., 87(5), 433–439.
Tjiptobroto, P., and Hansen, W. (1993). “Tensile strain hardening and multiple cracking in high performance cement based composites containing discontinuous fibers.” ACI Mater. J., 90(1), 6–25.
Wu, H. C., and Li, V. C. (1999). “Fiber/cement interface tailoring with plasma treatment.” J. Cem., Concr., Aggregates (ASTM), 21, 205–212.

Information & Authors

Information

Published In

Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 19Issue 7July 2007
Pages: 527 - 539

History

Received: Aug 11, 2005
Accepted: Oct 19, 2006
Published online: Jul 1, 2007
Published in print: Jul 2007

Permissions

Request permissions for this article.

Notes

Note. Associate Editor: Christopher K. Y. Leung

Authors

Affiliations

Shaikh Faiz Ahmed [email protected]
Postdoctoral Fellow, Dept. of Architecture and Building Science, Graduate School of Engineering, Tohoku Univ., Sendai Aoba-Ku, Ara-maki, 980-8579, Japan. E-mail: [email protected]
Mohamed Maalej [email protected]
Associate Professor, Dept. of Civil and Environmental Engineering, P.O. Box 27272, College of Engineering, Univ. of Sharjah, Sharjah, UAE. E-mail: [email protected]
P. Paramasivam [email protected]
Professorial Fellow, Dept. of Civil Engineering, National Univ. of Singapore; presently, W597 Park Rd., Anna Nagar West Extension Chennai 600101 Tamilnadu, India. E-mail: [email protected]

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