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Analytical and numerical modeling of composite-to-brick bond

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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

  1. 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

  2. Aiello MA, Micelli F, Valente D (2009) FRP confinement of square masonry columns. J Compos Constr ASCE 13(2):148–158

    Article  Google Scholar 

  3. 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

    Google Scholar 

  4. 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

    Article  Google Scholar 

  5. Cancelliere I, Imbimbo M, Sacco E (2010) Experimental tests and numerical modeling of reinforced masonry arches. Eng Struct 32:776–792

    Article  Google Scholar 

  6. Capozucca R (2010) Experimental FRP/SRP–historic masonry delamination. Compos Struct 92(4):891–903

    Article  Google Scholar 

  7. Carloni C, Subramaniam KV (2009) Investigation of the interface fracture during debonding between FRP and masonry. Adv Struct Eng 12(5):731–743

    Article  Google Scholar 

  8. Carloni C, Subramaniam KV (2012) FRP-masonry debonding: numerical and experimental study of the role of mortar joints. J Compos Constr 16:581–589

    Article  Google Scholar 

  9. 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

    Article  Google Scholar 

  10. Carrara P, Ferretti D, Freddi F (2012) Debonding behavior of ancient masonry elements strengthened with CFRP sheets. Compos B 45(1):800–810

    Article  Google Scholar 

  11. 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

  12. DIANA (2009). Displacement analysis finite element software. V. 9.4, TNO building division, Delft, The Netherlands

  13. 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

    Article  Google Scholar 

  14. Ferracuti B, Savoia M, Mazzotti C (2007) Interface law for FRP-concrete delamination. Compos Struct 80(4):523–531

    Article  Google Scholar 

  15. 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

    Article  Google Scholar 

  16. Grande E, Milani G, Sacco E (2008) Modelling and analysis of FRP-strengthened masonry panels. Eng Struct 30(7):1842–1860

    Article  Google Scholar 

  17. 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

    Article  Google Scholar 

  18. Grande E, Imbimbo M, Sacco E (2011) Bond behavior of historical clay bricks strengthened with steel reinforced polymers (SRP). Materials 4(3):585–600

    Article  Google Scholar 

  19. 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

    Article  Google Scholar 

  20. 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

    Article  Google Scholar 

  21. Grande E, Imbimbo M, Sacco E (2013) Finite element analysis of masonry panels strengthened with FRPs. Compos B 45:1296–1309

    Article  Google Scholar 

  22. 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

    Article  Google Scholar 

  23. 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

    Article  Google Scholar 

  24. Malena M, de Felice G (2014) Debonding of composites on a curved masonry substrate: Experimental results and analytical formulation. Compos Struct 112:194–206

    Article  Google Scholar 

  25. 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

    Article  Google Scholar 

  26. 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

  27. 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

    Article  Google Scholar 

  28. MIDASFea (2011) Analysis manual for MIDASFea. Midas Information Technology Co, Seohyenon-dong

    Google Scholar 

  29. 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

    Article  Google Scholar 

  30. Su Y, Wu C, Griffth MC (2011) Modelling of the bond-slip behavior in FRP reinforced masonry. Constr Build Mater 25(1):328–334

    Article  Google Scholar 

  31. 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

    Article  Google Scholar 

  32. Valluzzi MR, Tinazzi D, Modena C (2002) Shear behavior of masonry panels strengthened by FRP laminates. Constr Build Mater 16(7):409–416

    Article  Google Scholar 

  33. Valluzzi MR, Valdemarca M, Modena C (2001) Behavior of brick masonry vaults strengthened by FRP laminates. J Compos Constr 5(3):163–169

    Article  Google Scholar 

  34. 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

    Article  Google Scholar 

  35. 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

    Google Scholar 

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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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