High-Order Analysis of Reinforced Concrete Slabs Strengthened with Circular Composite Laminated Patches of General Layup
Publication: Journal of Engineering Mechanics
Volume 130, Issue 11
Abstract
A high-order model for the analysis of reinforced concrete (RC) slabs strengthened with externally bonded composite laminated patches of a general layup is presented. The model follows the concepts of the high-order theory and it is based on variational principles, equilibrium, and compatibility requirements. The classical lamination theory is adopted for the composite patch and it yields a set of coordinate dependent constitutive relations. The governing equations form a set of partial differential equations with variable coefficients. The solution procedure adopts the Galerkin and the multiple-shooting methods in the circumferential and radial directions, respectively. The proposed model is used for the numerical study of a square RC slab strengthened with a circular cross-ply laminated patch. The results focus on the overall behavior of the slab and the localized shear and vertical normal stresses near the edge of the bonded patch. Comparison with results obtained using a simplified axisymmetric model is also presented and discussed. The study reveals that the anisotropy of the bonded patch affects the overall and the localized response of the strengthened slab. It also shows that the simplified axisymmetric analysis tends to underestimate the stresses and stress resultants, and thus may be considered unsafe.
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References
1.
Adams, R.D., and Wake, W.C. ( 1984). Structural adhesive joints in engineering, Elsevier Applied Science, London, U.K.
2.
Arduini, M., and Nanni, A. (1997). “Parametric study of beams with externally bonded FRP reinforcements.” ACI Struct. J., 94(5), 493–501.
3.
Buyukozturk, O., and Hearing, B. (1998). “Failure behavior of precracked concrete beams retrofitted with FRP.” J. Compos. Constr., 2(3), 138–144.
4.
Erki, M.A., and Heffernan, P.J. ( 1995). “Reinforced concrete slabs externally strengthened with FRP materials.” Non-metallic (FRP) reinforcement for concrete structures, L. Taerwe, ed., E & FN Spon, London, 509–516.
5.
Frostig, Y., Baruch, M., Vilnay, O., and Sheinman, I. (1992). “High-order theory for sandwich beam behavior with transversely flexible core.” J. Eng. Mech., 118(5), 1026–1043.
6.
Hu, H.-T., Lin, F-M., and Jan, Y.-Y. (2004). “Nonlinear finite element analysis of reinforced concrete beams strengthened by fiber-reinforced plastics.” Compos. Struct., 63(3-4), 271–281.
7.
Jones, R.M. ( 1975). Mechanics of composite materials, Scripta, Washington, D.C.
8.
Kolsch, H. ( 1995). “Upgrading existing structures with composite layers.” Non-metallic (FRP) reinforcement for concrete structures, L. Taerwe, ed., E & FN Spon, London, 525–532.
9.
Meier, U. ( 1997). “Post strengthening by continuous fiber laminates in Europe.” Non-metallic (FRP) reinforcement for concrete structures, JCI, Tokyo, Vol. 1, 42–56.
10.
Quantrill, R. J., Hollaway, L. C., and Thorne, A. M. (1996). “Experimental and analytical investigation of RP strengthened beam response: Part I, II.” Mag. Concrete Res., 48(177), 331–351.
11.
, O., and Frostig, Y. (2000). “Closed-form high-order analysis of RC beams strengthened with FRP strips.” J. Compos. Constr., 4(2), 65–74.
12.
Rabinovitch, O., and Frostig, Y. (2001). “Non-linear high-order analysis of cracked RC beams strengthened with FRP strips.” J. Struct. Eng., 127(4), 381–389.
13.
Rabinovitch, O., and Frostig, Y. (2002). “Strengthening of RC slabs with circular composite patches—A high order approach.” Compos. Struct., 55(2), 225–238.
14.
Saadatmanesh, H., and Malek, A. M. (1998). “Design guidelines for flexural strengthening of RC beams with FRP plates.” J. Compos. Constr., 2(4), 158–164.
15.
Shahawy, M. A., Beitelman, T., Arockiasamy, M., and Sowrirajan, R. (1996). “Experimental investigation on structural repair and strengthening of damaged prestressed concrete slabs utilizing externally bonded carbon laminates.” Composites, Part B, 27(3-4), 217–224.
16.
Sheikh, S. A. (2002). “Performance of concrete structures retrofitted with fibre reinforced polymers.” Eng. Struct., 24(7), 869–879.
17.
Shen, H.-S., Teng, J. G., and Yang, J. (2001). “Interfacial stresses in beams and slabs bonded with thin plate.” J. Eng. Mech., 127(4), 339–406.
18.
Spadea, G., Swamy, R. N., and Bencardino, F. (2001). “Strength and ductility of RC beams repaired with bonded CFRP laminates.” J. Bridge Eng., 6(5), 349–355.
19.
Stoer, J., and Bulirsch, R. ( 1993). Introduction to numerical analysis, Springer-Verlag, New York.
20.
Teng, J. G., Lam, L., Chan, W., and Wang, J. (2000). “Retrofitting of deficient RC cantilever slabs using GFRP strips.” J. Compos. Constr., 4(2), 75–84.
21.
Teng, J. G., Zhang, J. W., and Smith, S. T. (2002). “Interfacial stresses in reinforced concrete beams bonded with a soffit plate: A finite element study.” Constr. Build. Mater., 16(1), 1–14.
22.
Timoshenko, S., and Woinowsky-Krieger, S. ( 1959). Theory of plates and shells, 2nd Ed., McGraw-Hill, New York.
23.
Vecchio, F. J., and Bucci, F. (1999). “Analysis of repaired reinforced concrete structures.” J. Struct. Eng., 125(6), 644–652.
24.
Zhang, J. W., Teng, J. G., Wong, Y. L., and Lu, Z. T. (2001). “Behavior of two-way RC slabs externally bonded with steel plate.” J. Struct. Eng., 127(4), 390–397.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 130 • Issue 11 • November 2004
Pages: 1334 - 1345
Copyright
Copyright © 2004 ASCE.
History
Published online: Oct 15, 2004
Published in print: Nov 2004
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