Abstract
In masonry components strengthened with externally bonded composites, good bonding is one of the most important aspects governing structural behavior, since failure usually takes place with detachment between reinforcement and substrate. This type of event is a brittle, sudden and therefore undesirable failure mechanism; nor does it allow the full strength of the reinforcement to be exploited. Many experimental data on bonding have recently become available from a Round Robin Test carried out within the framework of RILEM TC-223. In the present paper, experimental tests were simulated at increasing levels of complexity; bond behavior was first studied with an analytical model based on bi-linear representation of bond law. Two-dimensional and three-dimensional finite element analyses were then performed, according to various bond-slip laws. In particular, a number of bi-linear and non-linear interface laws were used, calibrated according to several strategies but with the same experimental population. Lastly, several commercial codes and types of finite elements were examined. This work may be said to represent a numerical Round Robin Test, with various simulations and modeling approaches. Analytical and numerical results are compared with experimental ones, in terms of both overall behavior (load to displacement curve) and local behavior (strain profiles on reinforcements at increasing load values), showing the importance of both types of information in order to obtain reliable predictions of experimental results.
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Abbreviations
- bm :
-
Brick width
- tm :
-
Brick thickness
- bf :
-
Strip width
- tf :
-
Strip thickness
- Af :
-
Cross-section of reinforcement strip
- Em :
-
Young’s modulus of brick
- fbm :
-
Brick compressive strength
- Ef :
-
Young’s modulus of strip
- τ0 :
-
Bond shear strength
- s0 :
-
Slip at peak of bond stress
- su :
-
Ultimate slip
- ΓFd :
-
Specific fracture energy
- K:
-
Slope of ascending branch of bond stress-slip law
- FC:
-
Confidence factor (assumed to be 1)
- kb :
-
Geometric coefficient
- kG :
-
Material substrate coefficient
- α:
-
Exponent of pre-peak branch of bond stress-slip law
- α′:
-
Exponent of post-peak branch of bond stress-slip law
- n :
-
Coefficient of bond stress-slip law
- Pmax :
-
Debonding load
- P0 :
-
Load at end of elastic behavior
References
ACI Committee 440(2010) Guide for the design and construction of externally bonded frp systems for strengthening unreinforced masonry structures. ACI 440.7R-10, American Concrete Institute, Farmington Hills, Michigan, US
Aiello MA, Micelli F, Valente D (2009) FRP confinement of square masonry columns. J Compos Constr ASCE 13(2):148–158
Aiello MA, Sciolti MS (2008) Analysis of bond performance between CFRP sheets and calcarenite ashlars under service and ultimate conditions. Mason Int 21(1):15–28
Augenti N, Parisi F, Prota A, Manfredi G (2011) In-plane lateral response of a full-scale masonry subassemblage with and without an inorganic matrix-grid strengthening system. J Compos Constr ASCE 15(4):578–590
Cancelliere I, Imbimbo M, Sacco E (2010) Experimental tests and numerical modeling of reinforced masonry arches. Eng Struct 32:776–792
Capozucca R (2010) Experimental FRP/SRP–historic masonry delamination. Compos Struct 92(4):891–903
Carloni C, Subramaniam KV (2009) Investigation of the interface fracture during debonding between FRP and masonry. Adv Struct Eng 12(5):731–743
Carloni C, Subramaniam KV (2012) FRP-masonry debonding: numerical and experimental study of the role of mortar joints. J Compos Constr 16:581–589
Ceroni F, Ferracuti B, Savoia M, Pecce M (2014) Assessment of a bond strength model for FRP reinforcement externally bonded over masonry blocks. Compos B Elsevier 61:147–161
Carrara P, Ferretti D, Freddi F (2012) Debonding behavior of ancient masonry elements strengthened with CFRP sheets. Compos B 45(1):800–810
CNR DT 200/R1 (2012) Guide for the design and construction of externally bonded FRP systems for strengthening existing structures. Advisory committee on technical recommendation for construction of national research council, Rome, Italy
DIANA (2009). Displacement analysis finite element software. V. 9.4, TNO building division, Delft, The Netherlands
Faella C, Camorani G, Martinelli E, Paciello SO, Perri F (2012) Bond behaviour of FRP strips glued on masonry: experimental investigation and empirical formulation. Constr Build Mater 31:353–363
Ferracuti B, Savoia M, Mazzotti C (2007) Interface law for FRP-concrete delamination. Compos Struct 80(4):523–531
Ghiassi B, Marcari G, Oliveira DV, Lourenço PB (2012) Numerical analysis of bond behavior between masonry bricks and composite materials. Eng Struct 43:210–220
Grande E, Milani G, Sacco E (2008) Modelling and analysis of FRP-strengthened masonry panels. Eng Struct 30(7):1842–1860
Grande E, Imbimbo M, Sacco E (2011) Bond behaviour of CFRP laminates glued on clay bricks: experimental and numerical study. Compos B 42:330–340
Grande E, Imbimbo M, Sacco E (2011) Bond behavior of historical clay bricks strengthened with steel reinforced polymers (SRP). Materials 4(3):585–600
Grande E, Imbimbo M, Sacco E (2011) Simple model for bond behavior of masonry elements strengthened with FRP. J Compos Constr 15(3):354–363
Grande E, Imbimbo M, Sacco E (2011) A beam finite element for the nonlinear analysis of masonry buildings strengthened with FRP. Int J Archit Herit Conserv Anal Restor 5(6):693–716
Grande E, Imbimbo M, Sacco E (2013) Finite element analysis of masonry panels strengthened with FRPs. Compos B 45:1296–1309
Kashyap J, Willis CR, Griffith MC, Ingham JM, Masia MJ (2012) Debonding resistance of FRP-to-clay brick masonry joints. Eng Struct 41:186–198
Kashyap J, Griffith MC, Mohamed Ali MS, Oehlers DJ (2011) Prediction of load-slip behavior of FRP retrofitted masonry. J Compos Constr 15(6):943–951
Malena M, de Felice G (2014) Debonding of composites on a curved masonry substrate: Experimental results and analytical formulation. Compos Struct 112:194–206
Marcari G, Manfredi G, Prota A, Pecce M (2007) In-plane shear performance of masonry panels strengthened with FRP. Compos B Eng 38:887–901
Mazzotti C, Ferracuti B, Bellini A. (2012) Experimental bond tests on masonry panels strengthening by FRP. Proceedings of 6th international conference on FRP composites in civil engineering (CICE 2012), 13–15 June 2012, Rome, Italy, CD ROM
Mazzotti C, Savoia M, Ferracuti B (2008) An experimental study on delamination of FRP plates bonded to concrete. Constr Build Mater 22(7):1409–1421
MIDASFea (2011) Analysis manual for MIDASFea. Midas Information Technology Co, Seohyenon-dong
Oliveira D, Basilio I, Lourenço PB (2011) Experimental bond behavior of FRP sheets glued on brick masonry. J Compos Constr ASCE 15(1):32–41
Su Y, Wu C, Griffth MC (2011) Modelling of the bond-slip behavior in FRP reinforced masonry. Constr Build Mater 25(1):328–334
Valluzzi MR, Oliveira DV, Caratelli A, Castori G, Corradi M, de Felice G, Garbin E, Garcia D, Garmendia L, Grande E, Ianniruberto U, Kwiecień A, Leone M, Lignola GP, Lourenço PB, Malena M, Micelli F, Panizza M, Papanicolaou CG, Prota A, Sacco E, Triantafillou TC, Viskovic A, Zając B, Zuccarino G (2012) Round robin test for composite to brick shear bond characterization. Mater Struct RILEM 45:1761–1791
Valluzzi MR, Tinazzi D, Modena C (2002) Shear behavior of masonry panels strengthened by FRP laminates. Constr Build Mater 16(7):409–416
Valluzzi MR, Valdemarca M, Modena C (2001) Behavior of brick masonry vaults strengthened by FRP laminates. J Compos Constr 5(3):163–169
Yuan H, Teng JG, Seracino R, Wu ZS, Yao J (2004) Full-range behavior of FRP-to-concrete bonded joints. Eng Struct 26(5):553–565
Zheng Y, Jia JQ, Li L, You SK (2012) Bond-slip constitutive behavior between fiber-reinforced polymer and masonry. Adv Mater Res 446–449:3165–3170
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Ceroni, F., de Felice, G., Grande, E. et al. Analytical and numerical modeling of composite-to-brick bond. Mater Struct 47, 1987–2003 (2014). https://doi.org/10.1617/s11527-014-0382-8
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DOI: https://doi.org/10.1617/s11527-014-0382-8