Abstract
Adhesively bonded FRP patches can be used to strengthen damaged reinforced concrete slabs, which typically exhibit a two-dimensional cracking pattern. The combination of a layered configuration and a cracked substrate designates interfacial debonding as a principal failure mechanism. The present work aims to shed light on the fundamental questions regarding the behavior of this cracked and strengthened layered form, using a high-order multi-layered plate theory and a corresponding finite element formulation, and with emphasis on the modeling of two dimensional plate-type cracks and their impact on the structural response. The analytical–computational platform addresses the manifold challenges involved in modeling the crack induced discontinuities and the two-dimensional evolution of interfacial debonding. The study looks into the behavior of a shear cracked beam and a diagonally cracked and FRP patched square slab. It reveals the unstable, two-dimensional, and not-self-similar nature of crack-induced debonding in two-say slabs. The debonding mechanism is characterized through irregular equilibrium paths and through the interfacial traction profiles that govern its evolution and stability features. The essential differences between the known debonding mechanisms observed in cracked beams and the case at hand are noted and discussed, setting the latter as a new and separate category.
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References
Arduini M, Nanni A (1997) Behavior of precracked RC beams strengthened with carbon FRP sheets. J Compos Constr 1(2):63–70
Bruno D, Greco F, Lonetti P (2013) A fracture-ALE formulation to predict dynamic debonding in FRP strengthened concrete beams. Compos Part B Eng 46:46–60
Doedel EJ (2007) Lecture notes on numerical analysis of nonlinear equations. Numerical Continuation Methods for dynamical systems, pp 1–49
de Borst R, Remmers JJ (2006) Computational modeling of delamination. Compos Sci Technol 66(6):713–722
Ebead U, Saeed H (2010) Modeling of reinforced concrete slabs strengthened with fiber-reinforced polymer or steel plates. ACI Struct J 107(2):218–227
Elsayed W, Ebead UA, Neale KW (2007) Interfacial behavior and debonding failures in FRP-strengthened concrete slabs. J Compos Constr 11(6):619–628
Feldfogel S, Rabinovitch O (2016) Full scale analysis of FRP strengthened plates with irregular layouts. Int J Mech Sci 113:239–259
Feldfogel S, Rabinovitch O (2017) Thermally induced wrinkling in orthotropic layered plates with irregular delaminations. Int J Non-Linear Mech 92:127–143
Feldfogel S, Rabinovitch O (2018a) Interfacial debonding propagation in orthotropic layered plates with a compliant internal layer. Eng Fract Mech 192:77–97
Feldfogel S, Rabinovitch O (2018b) Two dimensional debonding in adhesively bonded tiles. Int J Solids Struct
Funari MF, Greco F, Lonetti P (2016) A moving interface finite element formulation for layered structures. Compos Part B Eng 96:325–337
Funari MF, Greco F, Lonetti P, Luciano R, Penna R (2017) An interface approach based on moving mesh and cohesive modeling in Z-pinned composite laminates. Compos Part B Eng 135:207–217
Hosseini S, Remmers JJ, Verhoosel CV, De Borst R (2014) An isogeometric continuum shell element for non-linear analysis. Comput Method Appl Mech Eng 271:1–22
Hosseini S, Remmers JJ, Verhoosel CV, Borst R (2015) Propagation of delamination in composite materials with isogeometric continuum shell elements. Int J Numer Methods Eng 102(3–4):159–179
Johansen KW (1962) Yield-line theory. London, UK, Cement and Concrete Association, p 181
Keller HB (1977) Numerical solution of bifurcation and nonlinear eigenvalue problems. In: Rabinowitz P (ed) Applications of bifurcation theory. Academic Press, New York, pp 359–384
Kim YJ, Longworth JM, Wight RG, Green MF (2008) Flexure of two-way slabs strengthened with prestressed or nonprestressed CFRP sheets. J Compos Constr 12(4):366–374
Limam O, Foret G, Ehrlacher A (2003) RC two-way slabs strengthened with CFRP strips: experimental study and a limit analysis approach. Compos Struct 60(4):467–471
Lu XZ, Teng JG, Ye LP, Jiang JJ (2007) Intermediate crack debonding in FRP-strengthened RC beams: FE analysis and strength model. J Compos Constr 11(2):161–174
Mosallam AS, Mosalam KM (2003) Strengthening of two-way concrete slabs with FRP composite laminates. Constr Build Mater 17(1):43–54
Nilsson KF, Asp LE, Alpman JE, Nystedt L (2001) Delamination buckling and growth for delaminations at different depths in a slender composite panel. Int J Solids Struct 38(17):3039–3071
Papanikos P, Tserpes KI, Pantelakis S (2007) Initiation and progression of composite patch debonding in adhesively repaired cracked metallic sheets. Compos Struct 81(2):303–311
Parisch H (1995) A continuum-based shell theory for non-linear applications. Int J Numer Methods Eng 38(11):1855–1883
Pavlopoulou S, Grammatikos SA, Kordatos EZ, Worden K, Paipetis AS, Matikas TE, Soutis C (2015) Continuous debonding monitoring of a patch repaired helicopter stabilizer: damage assessment and analysis. Compos Struct 127:231–244
Perera R, Bueso-Inchausti D (2010) A unified approach for the static and dynamic analyses of intermediate debonding in FRP-strengthened reinforced concrete beams. Compos Struct 92(11):2728–2737
Rabinovitch O, Frostig Y (2001) Nonlinear high-order analysis of cracked RC beams strengthened with FRP strips. J Struct Eng 127(4):381–389
Rabinovitch O, Frostig Y (2003) Experiments and analytical comparison of RC beams strengthened with CFRP composites. Compos Part B Eng 34(8):663–677
Rabinovitch O (2008a) Debonding analysis of fiber-reinforced-polymer strengthened beams: cohesive zone modeling versus a linear elastic fracture mechanics approach. Eng Fract Mech 75(10):2842–2859
Rabinovitch O (2008b) Cohesive interface modeling of debonding failure in FRP strengthened beams. J Eng Mech 134(7):578–588
Rabinovitch O (2014) An extended high order cohesive interface approach to the debonding analysis of FRP strengthened beams. Int J Mech Sci 81:1–16
Remmers JJ, Wells GN, Borst RD (2003) A solid-like shell element allowing for arbitrary delaminations. Int J Numer Methods Eng 58(13):2013–2040
Teng JG, Smith ST, Yao J, Chen JF (2003) Intermediate crack-induced debonding in RC beams and slabs. Constr Build Mater 17(6):447–462
Tsouvalis NG, Mirisiotis LS, Dimou DN (2009) Experimental and numerical study of the fatigue behaviour of composite patch reinforced cracked steel plates. Int J Fatigue 31(10):1613–1627
Volokh KY, Needleman A (2002) Buckling of sandwich beams with compliant interfaces. Comput Struct 80(14–15):1329–1335
Acknowledgements
This research was supported by The ISRAEL SCIENCE FOUNDATION (Grant No. 1121/13).
Oded Rabinovitch gratefully acknowledges the support of the Abel Wolman Chair in Civil Engineering.
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Feldfogel, S., Rabinovitch, O. Crack induced interfacial debonding in damaged RC slabs strengthened with FRP. Int J Fract 215, 153–173 (2019). https://doi.org/10.1007/s10704-018-0333-4
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DOI: https://doi.org/10.1007/s10704-018-0333-4