TECHNICAL PAPERS
Aug 1, 2001

Delamination Failure of RC Beams Strengthened with FRP Strips—A Closed-Form High-Order and Fracture Mechanics Approach

Publication: Journal of Engineering Mechanics
Volume 127, Issue 8

Abstract

An analytical model for the prediction of the interfacial delamination failure of reinforced concrete (RC) beams strengthened with externally bonded fiber-reinforced plastic strips (FRPs) is presented. The analysis is conducted through a comprehensive stress analysis of the strengthened member and a failure criterion based on fracture mechanics concepts. The stress analysis follows the closed-form high-order approach for the analysis of deformations, stresses, and stress resultants in the multilayered structure. The model is based on equilibrium and compatibility requirements in and between all constituents of the strengthened beam, i.e., the concrete beam, the FRP strip, and the adhesive layer. The governing equations of the bonded and the delaminated regions are derived, and along with a unique set of boundary and continuity conditions that model the cracking of the RC beam, they are solved in a closed form. The results provide the basis for the fracture analysis stage in which a criterion for the initiation and stable or unstable growth of the interfacial delaminations is derived. This criterion is based on the fracture mechanics concept of the elastic energy release rate and replaces the classical stress-based criteria. The energy release rate is evaluated through the path independent J-integral over the stress, deformation, and energy fields determined by the stress analysis. Three numerical examples concerning interfacial delamination triggered by cracking of the concrete and by the stress concentration at the edge of the FRP strip are presented. The emphasis is put on the development of the internal stress resultants in the RC beam and the FRP strip, the stresses at the adhesive layer, and the energy release rate with the growth of the delamination. The paper is concluded with a summary and some recommendations for the design of such strengthened beams.

Get full access to this article

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

References

1.
Adams, R. D., and Wake, W. C. ( 1984). Structural adhesive joints in engineering, Elsevier Science, New York.
2.
Arduini, M., and Nanni, A. (1997). “Behavior of precracked RC beams strengthened with carbon FRP sheets.”J. Compos. for Constr., ASCE, 1(2), 63–70.
3.
Buyukuzturk, O., and Hearing, B. (1998). “Failure behavior of precracked concrete beams retrofitted with FRP.”J. Compos. for Constr., ASCE, 2(3), 138–144.
4.
Choi, N. S., Kinloch, A. J., and Williams, J. G. ( 1999). “Delamination fracture of multidirectional carbon-fiber/epoxy composites under mode I, mode II and mixed mode I/II loading.” J. Comp. Mat., 33(1), 73–100.
5.
Chorlton, F. ( 1965). Ordinary differential and difference equations, theory and applications, Van Nostrand Reinhold, New York.
6.
Ehsani, R., and Saadatmanesh, H. ( 1990). “Fiber composite plates for strengthening of bridge beams.” Comp. and Struct., 15(4), 343–355.
7.
Fraisse, P., and Schmit, F. ( 1993). “Use of J-integral as fracture parameter in simplified analysis of bonded joints.” Int. J. Fracture, 63(1), 59–73.
8.
Frostig, Y. ( 1992). “Behavior of delaminated sandwich beams with transversely flexible core—High order theory.” Comp. and Struct., 20(1), 1–16.
9.
Frostig, Y., Baruch, M., Vilnay, O., and Sheinman, I. (1992). “High-order theory for sandwich beam behavior with transversely flexible core.”J. Engrg. Mech., ASCE, 118(5), 1026–1043.
10.
Frostig, Y., Thomsen, O. T., and Mortensen, F. (1999). “Analysis of adhesive bonded joints, square-end and spew-fillet—High-order theory approach.”J. Engrg. Mech., ASCE, 125(11), 1298–1307.
11.
Hutchinson, J. W., and Suo, Z. ( 1992). “Mixed mode cracking in layered materials.” Advances in applied mechanics, J. W. Hutchinson and T. Y. Wu, eds., Vol. 29, Academic, San Diego, 64–187.
12.
Meier, U., Deuring, M., Meier, H., and Schwegler, G. ( 1993). “Strengthening of structures with advanced composites.” Alternative materials for the reinforcement and prestressing of concrete, J. L. Clarke, ed., Chapman & Hall, London, 153–171.
13.
Quantrill, R. J., Holloway, L. C., and Thorne, A. M. ( 1996). “Experimental and analytical investigation of RP strengthened beam response: Part I, II.” Mag. of Concrete Res., 48(177), 331–351.
14.
Rabinovitch, O., and Frostig, Y. ( 1999). “Edge effects in retrofitting of concrete beams using FRP strips—A closed form high order theory approach.” Proc., 4th Int. Symp., FRP Reinforcement for Reinforced Concrete Struct., C. W. Dolan, S. H. Rizkalla, and A. Nanni, eds., American Concrete Institute, Detroit, 179–191.
15.
Rabinovitch, O., and Frostig, Y. (2000). “Closed-form high-order analysis of RC beams strengthened with FRP strips.”J. Compos. for Constr., ASCE, 4(2), 65–74.
16.
Rice, J. R. ( 1968). “A path independent integral and the approximated analysis of strain concentration by notches and cracks.” J. Appl. Mech., 35(6), 379–386.
17.
Roberts, T. M., and Haji-Kazemi, H. ( 1989). “Theoretical study of the behavior of RC beams strengthened by externally bonded steel plates.” Proc., Instn. of Civ. Engrg., Vol. 87, Part 2, Thomas Telford Ltd., London, 39–55.
18.
Saadatmanesh, H., and Malek, A. M. (1998). “Design guidelines for flexural strengthening of RC beams with FRP plates.”J. Compos. for Constr., ASCE, 2(4), 158–164.
19.
Shah, S. P., Swartz, S. E., and Ouyang, C. ( 1995). Fracture mechanics of concrete: Applications of fracture mechanics to concrete, rock, and other quasi-brittle materials, Wiley, New York.
20.
Stam, G. ( 1996). “The stress intensity factor for grooved DCB specimens loaded by splitting forces.” Int. J. Fracture, 76(4), 341–354.
21.
Taerwe, L., and Stijn, M. ( 1999). “FRP for concrete construction: Applications in Europe.” ACI Concrete Int., 21(10), 33–36.
22.
Täljsten, B. (1997). “Strengthening of beams by plate bonding.”J. Mat. in Civ. Engrg., ASCE, 9(4), 206–212.
23.
Tumialan, G., Serra, P., Nanni, A., and Belarbi, A. ( 1999). “Concrete cover delamination in reinforced concrete beams strengthened with carbon fiber reinforced polymer sheets.” Proc., 4th Int. Symp., FRP Reinforcement for Reinforced Concrete Struct., C. W. Dolan, S. H. Rizkalla, and A. Nanni, eds., American Concrete Institute, Detroit, 725–735.
24.
Xie, M., and Karbhari, V. M. ( 1998). “Peel test for characterization of polymer composite/concrete interface.” J. Comp. Mat., 32(21), 1894–1913.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 127Issue 8August 2001
Pages: 852 - 861

History

Received: Feb 7, 2000
Published online: Aug 1, 2001
Published in print: Aug 2001

Permissions

Request permissions for this article.

Authors

Affiliations

Doctoral Candidate, Technion-Israel Inst. of Technol., Facu. of Civ. Engrg., Haifa, 32000, Israel.
Assoc. Prof., Technion-Israel Inst. of Technol., Facu. of Civ. Engrg., Haifa, 32000, Israel.

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