Abstract
Carbon fiber-reinforced polymer (CFRP) materials have been effectively used as externally bonded sheets to repair damaged steel structures such as airplanes and ships. In this study, a series of double strap joints with different bonding lengths are considered and examined to experimentally and theoretically assess the effective bond length. Various models exist in the literature which are used to predict the strength of steel and CFRP joints under various loading conditions. Non-linear Lagrange stress method (NLS) which is a novel stress-based method for predicting the failure load values is presented for the first time. This approach is based on 2D and 3D linear elastic finite element analysis. Relying only on two experimental tests, the new approach proposed here can quickly and easily predict the failure load in steel/CFRP samples. In this methodology, it is assumed that the adhesive joint will fail as the normal stress along the adhesive mid-line reaches a predetermined value at a critical distance. In addition, experimental data on steel/CFRP joints gathered from the literature are compared to predictions using the NLS method. It was found that results from the theoretical predictions (NLS) were in good agreement with experimental tests conducted on double strap joints. It was also revealed that the average accuracy of the NLS method is superior to other methods such as cohesive zone model and Hart-Smith. The results revealed that under the best conditions, the NLS model is 5 times more accurate than existing models.
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References
Jimenez-Vicaria JD, Castro-Fresno D, Dolores M, Pulido G (2020) Fatigue behaviour of adhesive bonds in tensile CFRP-metal double-strap joints with puddle iron plates taken from a 19th century bridge. Compos Struct 251:112600
Wang S, Liang W, Duan L, Li G, Cui J (2020) Effects of loading rates on mechanical property and failure behavior of single-lap adhesive joints with carbon fiber reinforced plastics and aluminum alloys. Int J Adv Manuf Technol 106:2569–2581. https://doi.org/10.1007/s00170-019-04804-w
Jones SC, Civjan SA (2003) Application of fiber reinforced polymer overlays to extend steel fatigue life. J Compos Constr 331:4–8
Tavakkolizadeh M, Saadatmanesh H (2003) Strengthening of steel–concrete composite girders using carbon fiber reinforced polymers sheets. J Struct Eng 129:30–40
Manuel AG, Silva HB, Ribeiro P (2019) On factors affecting CFRP-steel bonded joints. Constr Build Mater 226(30):360–375
Yao J, Teng JG (2007) Plate end debonding in FRP-plated RC beams—I: experiments. J Eng Struct 29:57–71
Toutanji H, Zhao L, Zhang Y (2006) Flexural behavior of reinforced concrete beams externally strengthened with CFRP sheets bonded with an inorganic matrix. J Eng Struct 28:57–66
Kwon YW (2011) Strength of composite scarf joints. In: Advances in composite materials – eco design and analysis. In Tech Open Access Publisher, Inc, pp 467–491
Ahmad F, Hong JW, Choi HS, Park MK (2016) Hygro effects on the low-velocity impact behavior of unidirectional CFRP composite plates for aircraft applications. Compos Struct 135:276–285
Pramanik A, Basak AK, Dong Y, Sarker PK, Uddin MS, Littlefair G, Dixit AR, Chattopadhyaya S (2017) Joining of carbon fibre reinforced polymer (CFRP) composites and aluminum alloys – A review. Compos A: Appl Sci Manuf 101:1–29
Jeevi G, Nayak SK, Kader MA (2019) Review on adhesive joints and their application in hybrid composite structures. J Adhes Sci Technol. https://doi.org/10.1080/01694243.2018.1543528
Xi FF, Yu L, Tu XW (2013) Framework on robotic percussive riveting for aircraft assembly automation. Adv Manuf 1:112–122. https://doi.org/10.1007/s40436-013-0014-5
Galinska A, Galinski C (2020) Mechanical Joining of Fibre Reinforced Polymer Composites to Metals—A Review. Part II: Riveting, Clinching, Non-Adhesive Form-Locked Joints, Pin and Loop Joining. Polymers 12:1681
Li G, Shi G, Bellinger NC (2012) Assessing the riveting process and the quality of riveted joints in aerospace and other applications. Woodhead Publishing, pp 181–214, ISBN 9781845695323. https://doi.org/10.1533/9780857095169.2.179
Jiang H, Zeng Technological test, C, Li G, Cui J (2020) Effect of locking mode on mechanical properties and failure behavior of CFRP/Al electromagnetic riveted joint. Compos Struct. https://doi.org/10.1016/j.compstruct.2020.113162
Chen Y, Yang X, Li M, Wei K, Li S (2019) Mechanical behavior and progressive failure analysis of riveted, bonded and hybrid joints with CFRP-aluminum dissimilar materials. Thin-Walled Struct 139:271–280
Saeimi Sadigha MA, Paygozar B, da Silva LFM, Martínez-Pañeda E (2020) Creep behaviour and tensile response of adhesively bonded polyethylene joints: Single-Lap and Double-Strap. Int J Adhes Adhes 102:102666
Hart-Smith LJ (1973) Adhesive-bonded single-lap joints, NASA CR 112236, Langley Research Center, Hampton, Va. 23366
Groth HL (1988) Stress singularities and fracture at interface corners in bonded joints. Int J Adhes Adhes 8:107–113
Tong L (1998) Strength of adhesively bonded single-lap and lap-shear joints. Int J Solids Struct 35:2601–2616
De Morais AB, Pereira AB, Teixeira JP, Cavaleiro NC (2007) Strength of epoxy adhesive-bonded stainless-steel joints. Int J Adhes Adhes 27:679–686
Karachalios EF, Adams RD, da Silva LFM (2013) Single lap joints loaded in tension with high strength steel adherends. Int J Adhes Adhes 43:81–95
Khoramishad H, Razavi SMJ (2014) Metallic fiber-reinforced adhesively bonded joints. Int J Adhes Adhes 55:114–122
Ayatollahi MR, Nemati Giv A, Razavi SMJ, Khoramishad H (2017) Mechanical properties of adhesively single lap-bonded joints reinforced with multi-walled carbon nanotubes and silica nanoparticles, The Journal of Adhesion, 93(11):896–913. https://doi.org/10.1080/00218464.2016.1187069
Ayatollahi MR, Akhavan-Safar A (2015) Failure load prediction of single lap adhesive joints based on a new linear elastic criterion. Theor Appl Fract Mech 80:210–217
Chen Z, Adams RD, Da Silva LFM (2011) Prediction of crack initiation and propagation of adhesive lap joints using an energy failure criterion. Eng Fract Mech 78:990–1007
Hell S, Weißgraeber P, Felger J, Becker W (2014) A coupled stress and energy criterion for the assessment of crack initiation in single lap joints: a numerical approach. Eng Fract Mech 117:112–126
Chalkley P, Rose F (2001) Stress analysis of double-strap bonded joints using a variational method. Int J Adhes Adhes 21:241–247
Barroso A, Mantic V, París F (2008) Singularity parameter determination in adhesively bonded lap joints for use in failure criteria. Compos Sci Technol 68:2671–2677
Lee HK, Pyo SH, Kim BR (2009) On joint strengths, peel stresses and failure modes in adhesively bonded double-strap and supported single-lap GFRP joints. Compos Struct 87:44–54
Fawzia S, Zhao XL, Al-Mahaidi R (2010) Bond–slip models for double strap joints strengthened by CFRP. Compos Struct 92:2137–2145
Fawzia S, Al-Mahaidi R, Zhao XL (2006) Experimental and finite element analysis of a double strap joint between steel plates and normal modulus CFRP. Compos Struct 75:156–162
Fawzia S, Zhao XL, Al-Mahaidi R, Rizkalla S (2005) Bond characteristics between CFRP and steel plates in double strap joints. Int Adv Steel Constr 1:17–27
Majidi HR, Razavi SMJ, Berto F (2017) Failure Assessment of Steel/CFRP Double Strap Joints. Metals. 7(7):255. https://doi.org/10.3390/met7070255
Al-Shawaf A (2011) Modelling wet lay-up CFRP–steel bond failures at extreme temperatures using stress-based approach. Int J Adhes Adhes 31:416–428
Nguyen T-C, Bai Y, Zhao XL, Al-Mahaidi R (2012) Effects of ultraviolet radiation and associated elevated temperature on mechanical performance of steel/CFRP double strap joints. Compos Struct 94:3563–3573
Nguyen T-C, Bai Y, Zhao XL, Al-Mahaidi R (2013) Curing effects on steel/CFRP double strap joints under combined mechanical load, temperature and humidity. Constr Build Mater 40:899–907
Nguyen TC, Bai Y, Zhao XL, Bambach MR, Al-Mahaidi R (2011) Temperature Effect on Adhesively Bonded CFRP and Steel Double Strap Joints. In: Advances in FRP Composites in Civil Engineering. Springer, pp 877–880
Nguyen T-C, Bai Y, Zhao XL, Al-Mahaidi R (2011) Mechanical characterization of steel/CFRP double strap joints at elevated temperatures. Compos Struct 93:1604–1612
Zhao XL, Zhang L (2007) State-of-the-art review on FRP strengthened steel structures. Eng Struct 29:1808–1823
Mohee FM, Al-Mayah A, Plumtree A (2016) Anchors for CFRP plates: State-of-the-art review and future potential. Compos B Eng 90:432–442
Miller TC, Chajes MJ, Mertz DR, Hastings JN (2001) Strengthening of a steel bridge girder using CFRP plates. J Bridg Eng 6:514–522
Bocciarelli M, Colombi P, Fava G, Poggi C (2009) Prediction of debonding strength of tensile steel/CFRP joints using fracture mechanics and stress based criteria. Eng Fract Mech 76:299–313
Liu H, Xiao Z, Zhao XL, Al-Mahaidi R (2009) Prediction of fatigue life for CFRP-strengthened steel plates. Thin-Walled Struct 47:1069–1077
Teng JG, Fernando D, Yu T (2015) Finite element modelling of debonding failures in steel beams flexurally strengthened with CFRP laminates. Eng Struct 86:213–224
Kazem H, Guaderrama L, Selim H, Rizkalla S, Kobayashi A (2016) Strengthening of steel plates subjected to uniaxial compression using small-diameter CFRP strands. Constr Build Mater 111:223–236
Meng F, Li W, Fan H, Zhou Y (2015) A nonlinear theory for CFRP strengthened aluminum beam. Compos Struct 131:574–577
Kashfuddoja M, Ramji M (2015) Assessment of local strain field in adhesive layer of an unsymmetrically repaired CFRP panel using digital image correlation. Int J Adhes Adhes 57:57–69
Kashfuddoja M, Ramji M (2013) Whole-field strain analysis and damage assessment of adhesively bonded patch repair of CFRP laminates using 3D-DIC and FEA. Compos B Eng 53:46–61
Verbruggen S, Aggelis DG, Tysmans T, Wastiels J (2014) Bending of beams externally reinforced with TRC and CFRP monitored by DIC and AE. Compos Struct 112:113–121
Srilakshmi R, Ramji M, Chinthapenta V (2015) Fatigue crack growth study of CFRP patch repaired Al 2014-T6 panel having an inclined center crack using FEA and DIC. Eng Fract Mech 134:182–201
Ahmad H, Crocombe AD, Smith PA (2014) Strength prediction in CFRP woven laminate bolted doublelap joints under quasi-static loading using XFEM. Compos Part A Appl Sci Manuf 56:192–202
Ahmad H, Crocombe AD, Smith PA (2014) Strength prediction in CFRP woven laminate bolted singlelap joints under quasi-static loading using XFEM. Compos Part A Appl Sci Manuf 66:82–93
Ataş A, Soutis C (2014) Application of cohesive zone elements in damage analysis of composites: Strength prediction of a single-bolted joint in CFRP laminates. Int J Non Linear Mech 66:96–104
Ataş A, Soutis C (2014) Strength prediction of bolted joints in CFRP composite laminates using cohesive zone elements. Compos B Eng 58:25–34
Campilho RDSG, De Moura MFSF, Domingues JJMS (2008) Using a cohesive damage model to predict the tensile behaviour of CFRP single-strap repairs. Int J Solids Struct 45:1497–1512
Al-Zubaidy H, Al-Mahaidi R, Zhao XL (2013) Finite element modelling of CFRP/steel double strap joints subjected to dynamic tensile loadings. Compos Struct 99:48–61
Xia SH, Teng J (2005) Behaviour of FRP-to-steel bonded joints. In: Proceedings of the International Symposium on Bond Behaviour of FRP in Structures, BBFS 2005 (pp. 411–418). International Institute for FRP in Construction (IIFC)
Fawzia S, Al-Mahaidi R (2006) XL. Zhao, Experimental and finite element analysis of a double strap joint between steel plates and normal modulus CFRP, J. Compos Struct 156:62–75
Fawzia S, Zhao XL, Al-Mahaidi R (2010) Bond-slip models for double strap joints strengthened by CFRP. J Compos Struct 2137:45–92
Wu C, Zhao XL, Duan WH, Al-Mahaidi R (2012) Bond characteristics between ultra-high modulus CFRP laminates and steel. J Thin-Walled Struct 147:51–57
Liu HB, Zhao XL, Al-Mahaidi R (2010) Effect of fatigue loading on bond strength between CFRP sheets and steel plates. J Struct Stab Dyn 1:10–20
Bai T, Zhao XL, Al-Mahaidi R (2008) Post yield behaviour of CFRP steel adhesive joints under static and cyclic loading. 5th International conference on the Thin Wallded structures, Brisibane
Yue QR, Peng FM, Yang YX, Zhang N (2005) Experimental and finite element studies on deteriorated steel members repaired with CFRP sheets. In: Proceedings of the 2nd international conference on FRP composites in civil engineering (CICE), Adelaide, pp 121–126
Rubinov AM (2013) Lagrange-type Functions in Constrained Non-Convex Optimization. Springer US, New York
Al-Mosawe A, Al-Mahaidi R, Zhao X-L (2015) Effect of CFRP properties, on the bond characteristics between steel and CFRP laminate under quasi-static loading. J Constr Build Mater 98:489–501
Al-Zubaidy H, Al-Mahaidi R, Zhao X-L (2012) Experimental investigation of bond characteristics between CFRP fabrics and steel plate joints under impact tensile loads. J Compos Struct 94:10–18
ASTM E8/E8M-16a. Standard Test Methods for Tension Testing of Metallic Materials; ASTM International: West Conshohocken, PA, USA, 2016; Available online: www.astm.org. Accessed 6 July 2017
Marques EAS, da Silva LFM (2008) Joint Strength Optimization of Adhesively Bonded Patches. Taylor & Francis
ASTM (1996) Properties, Standard Test Method for Tensile Properties of Plastics. American Society for Testing and Materials, West Conshohocken
ABAQUS (2013) ABAQUS User’s Manual Version 6.13. Dassault Systemes Simulia Corp, Providence
Li G, Lee-Sullivan P, Thring RW (1999) Nonlinear finite element analysis of stress and strain distributions across the adhesive thickness in composite single-lap joints, J. Compos Struct 46:395–403
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H. Hamedi carried out the numerical analysis and respective data analysis, performed the validation study and sketched the paper. A. Kamyabi-Gol built and revised the paper until final form.
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Hamedi, H., Kamyabi-Gol, A. A novel approach to modelling the bond characteristics between CFRP fabrics and steel plate joints under quasi-static tensile loads. Int J Adv Manuf Technol 116, 3247–3261 (2021). https://doi.org/10.1007/s00170-021-07714-y
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DOI: https://doi.org/10.1007/s00170-021-07714-y