Stress Analysis of Monolithic Circular Arches Strengthened with Composite Materials
Publication: Journal of Composites for Construction
Volume 13, Issue 5
Abstract
This paper presents an analytical approach for the elastic stress analysis of monolithic circular arches strengthened with externally bonded fiber-reinforced polymer (FRP) strips. Emphasis is placed on the interfacial stresses between the existing structure and the supplemental reinforcement layers. Two analytical models are presented: The first model formulates the governing equations in terms of the displacements in the arch and the FRP strip and the tangential distribution of the shear stresses in the adhesive layer as unknowns without involving any assumptions on the stress and displacement fields in the adhesive layer. The second model uses the functional form of the displacement field derived in the first model yielding a formulation in terms of displacement unknowns only. Two numerical examples that examine the capabilities of the analytical approach are discussed. The first example focuses on the stress analysis of a strengthened arch under a localized load. The second example studies the elastic response of a partially strengthened arch to a symmetric load and a horizontal support settlement. The numerical study quantifies the interfacial shear and peeling stresses between the old and the new components underlining the stress concentrations. Finally, conclusions are presented and directions for future research on the application of the theory to masonry arches are outlined.
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References
Birkhoff, G., and Rota, G. -C. (1969). Ordinary differential equations, Blaisdell, Waltham, Mass.
Bozhevolnaya, E., and Frostig, Y. (1997). “Nonlinear closed-form high-order analysis of curved sandwich panels.” Compos. Struct., 38(1–4), 383–394.
Caporale, A., Luciano, R., and Rosati, L. (2006). “Limit analysis of masonry arches with externally bonded FRP reinforcements.” Comput. Methods Appl. Mech. Eng., 196(1–3), 247–260.
Chen, J. F. (2002). “Load-bearing capacity masonry arch bridges strengthened with fiber reinforced polymer composites.” Adv. Struct. Eng., 5(1), 37–44.
De Lorenzis, L., Teng, J. G., and Zang, L. (2005). “Theoretical analysis of interfacial stresses in curved members bonded with thin plate.” Proc., Int. Symp. on Bond of FRP in Structures (BBFS 2005), J. G. Teng and J. F. Chen, eds., The Hong Kong Polytechnic Univ., Hong Kong, 189–196.
De Lorenzis, L., Teng, J. G., and Zang, L. (2006). “Interfacial stresses in curved members bonded with a thin plate.” Int. J. Solids Struct., 43(25–26), 7501–7517.
Drosopoulos, G. A., Stavroulakis, G. E., and Massalas, C. V. (2007). “FRP reinforcement of stone arch bridges: Unilateral contact models and limit analysis.” Composites, Part B, 38(2), 144–151.
Foraboschi, P. (2004). “Strengthening of masonry arches with fiber-reinforced polymer strips.” J. Compos. Constr., 8(3), 191–202.
Luciano, R., Marfia, S., and Sacco, E. (2002). “Reinforcement of masonry arches by FRP materials: Experimental tests and numerical investigations.” Proc., ICCI02 (CD-ROM), San Francisco.
Marfia, S., Ricamato, M., and Sacco, E. (2008). “Stress analysis of reinforced masonry arches.” Int. J. Computational Methods in Engineering Science and Mechanics, 9(2), 77–90.
Rabinovitch, O. (2004). “Nonlinear (buckling) effects in RC beams strengthened with composite materials subjected to compression.” Int. J. Solids Struct., 41(20), 5677–5695.
Rabinovich, O., and Frostig, Y. (2000). “Closed-form high-order analysis of RC beams strengthened with FRP strips.” J. Compos. Constr., 4(2), 65–74.
Valluzzi, M. R., and Modena, C. (2001) “Experimental analysis and modeling of masonry vaults strengthened by FRP.” Historical Constructions, Proc., 3rd Int. Seminar, P. B. Lourenco and P. Roca, eds., Univ. of Minho, Guimarăes, Portugal, 627–636.
Valluzzi, M. R., Valdemarca, M., and Modena, C. (2001). “Behaviour of brick masonry vaults strengthened by FRP laminates.” J. Compos. Constr., 5(3), 163–169.
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© 2009 ASCE.
History
Received: Oct 19, 2007
Accepted: May 11, 2009
Published online: Sep 15, 2009
Published in print: Oct 2009
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