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http://dx.doi.org/10.12989/scs.2019.33.5.629

Stress intensity factors for double-edged cracked steel beams strengthened with CFRP plates  

Wang, Hai-Tao (College of Civil and Transportation Engineering, Hohai University)
Wu, Gang (Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University)
Pan, Yu-Yang (Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University)
Zakari, Habeeb M. (College of Civil and Transportation Engineering, Hohai University)
Publication Information
Steel and Composite Structures / v.33, no.5, 2019 , pp. 629-640 More about this Journal
Abstract
This paper presents a theoretical and finite element (FE) study on the stress intensity factors of double-edged cracked steel beams strengthened with carbon fiber reinforced polymer (CFRP) plates. By simplifying the tension flange of the steel beam using a steel plate in tension, the solutions obtained for the stress intensity factors of the double-edged cracked steel plate strengthened with CFRP plates were used to evaluate those of the steel beam specimens. The correction factor α1 was modified based on the transformed section method, and an additional correction factor φ was introduced into the expressions. Three-dimensional FE modeling was conducted to calculate the stress intensity factors. Numerous combinations of the specimen geometry, crack length, CFRP thickness and Young's modulus, adhesive thickness and shear modulus were analyzed. The numerical results were used to investigate the variations in the stress intensity factor and the additional correction factor φ. The proposed expressions are a function of applied stress, crack length, the ratio between the crack length and half the width of the tension flange, the stiffness ratio between the CFRP plate and tension flange, adhesive shear modulus and thickness. Finally, the proposed expressions were verified by comparing the theoretical and numerical results.
Keywords
stress intensity factor; carbon fiber reinforced polymer (CFRP); strengthening; cracked steel beam; finite element models;
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1 Lee, W.Y. and Lee, J.J. (2004), "Successive 3D FE analysis technique for characterization of fatigue crack growth behavior in composite-repaired aluminum plate", Compos. Struct., 66(1-4), 513-520. https://doi.org/10.1016/j.compstruct.2004.04.074   DOI
2 Liu, H.B., Al-Mahaidi, R. and Zhao, X.L. (2009a), "Experimental study of fatigue crack growth behaviour in adhesively reinforced steel structures", Compos. Struct., 90(1), 12-20. https://doi.org/10.1016/j.compstruct.2009.02.016   DOI
3 Liu, H.B., Xiao, Z.G., Zhao, X.L. and Al-Mahaidi, R. (2009b), "Prediction of fatigue life for CFRP-strengthened steel plates", Thin-Wall. Struct., 47(10), 1069-1077. https://doi.org/10.1016/j.tws.2008.10.011   DOI
4 Liu, H.B., Zhao, X.L. and Al-Mahaidi, R. (2009c), "Boundary element analysis of CFRP reinforced steel plates", Compos. Struct., 91(1), 74-83. https://doi.org/10.1016/j.compstruct.2009.04.032   DOI
5 Mall, S. and Conley, D.S. (2009), "Modeling and validation of composite patch repair to cracked thick and thin metallic panels", Compos. Part A, 40(9), 1331-1339. https://doi.org/10.1016/j.compositesa.2008.08.007   DOI
6 Mechab, B., Chama, M., Kaddouri, K. and Slimani, D. (2016), "Probabilistic elastic-plastic analysis of repaired cracks with bonded composite patch", Steel Compos. Struct., Int. J., 20(6), 1173-1182. https://doi.org/10.12989/scs.2016.20.6.1173   DOI
7 Naboulsi, S. and Mall, S. (1996), "Modeling of a cracked metallic structure with bonded composite patch using the three layers technique", Compos. Struct., 35(3), 295-308. https://doi.org/10.1016/0263-8223(96)00043-8   DOI
8 Rose, L.R.F. and Wang, C.H. (2002), "Analytical Methods for Designing Composite Repairs", In: Baker, A,A,, Rose, L.R.F. and Jones, R. (Eds.), Advances in Bonded Composite Repairs of Metallic Airframe Structure, Elsevier Science Ltd., Amsterdam, Netherlands.
9 Sallam, H.E.M., Badawy, A.A.M., Saba, A.M. and Mikhail, F.A. (2010), "Flexural behavior of strengthened steel-concrete composite beams by various plating methods", J. Const. Steel Res., 66(8-9), 1081-1087. https://doi.org/10.1016/j.jcsr.2010.03.005   DOI
10 Serror, M.H., Soliman, E.G. and Hassan, A.F. (2017), "Numerical study on the rotation capacity of CFRP strengthened cold formed steel beams", Steel Compos. Struct., Int. J., 23(4), 385-397. https://doi.org/10.12989/scs.2017.23.4.385   DOI
11 Setvati, M.R. and Mustaffa, R. (2018), "Rehabilitation of notched circular hollow sectional steel beam using CFRP patch", Steel Compos. Struct., Int. J., 26(2), 151-161. https://doi.org/10.12989/scs.2018.26.2.151
12 Shen, H. and Hou, C. (2011), "SIFs of CCT plate repaired with single-sided composite patch", Fatigue Fract. Eng. M., 34(9), 728-733. https://doi.org/10.1111/j.1460-2695.2011.01569.x   DOI
13 Shen, D.J., Yang, Q., Huang, C.B., Cui, Z.H. and Zhang, J.Y. (2019), "Tests on seismic performance of corroded reinforced concrete shear walls repaired with basalt fiber-reinforced polymers", Constr. Build. Mater., 209, 508-521. https://doi.org/10.1016/j.conbuildmat.2019.02.109   DOI
14 Sih, G.C. (1973), Handbook of Stress Intensity Factors, Lehigh University Press, Bethlehem, PA, USA.
15 Sun, C.T., Klug, J. and Arendt, C. (1996), "Analysis of cracked aluminum plates repaired with bonded composite patches", AIAA J., 34(2), 369-374. https://doi.org/10.2514/3.13073   DOI
16 Yu, Q.Q., Zhao, X.L., Xiao, Z.G., Chen, T. and Gu, X.L. (2014b), "Evaluation of stress intensity factor for CFRP bonded steel plates", Adv. Struct. Eng., 17(12), 1729-1746. https://doi.org/10.1260/1369-4332.17.12.1729   DOI
17 Wang, H.T. and Wu, G. (2018a), "Bond-slip models for CFRP plates externally bonded to steel substrates", Compos. Struct., 184, 1204-1214. https://doi.org/10.1016/j.compstruct.2017.10.033   DOI
18 Wang, H.T. and Wu, G. (2018b), "Crack propagation prediction of double-edged cracked steel beams strengthened with FRP plates", Thin-Wall. Struct., 127, 459-468. https://doi.org/10.1016/j.tws.2018.02.018   DOI
19 Yu, Q.Q., Chen, T., Gu, X.L., Zhao, X.L. and Xiao, Z.G. (2013), "Fatigue behaviour of CFRP strengthened steel plates with different degrees of damage", Thin-Wall. Struct., 69, 10-17. https://doi.org/10.1016/j.tws.2013.03.012   DOI
20 Yu, Q.Q., Zhao, X.L., Chen, T., Gu, X.L. and Xiao, Z.G. (2014a), "Crack propagation prediction of CFRP retrofitted steel plates with different degrees of damage using BEM", Thin-Wall. Struct., 82, 145-158. https://doi.org/10.1016/j.tws.2014.04.006   DOI
21 Yu, Q.Q. and Wu, Y.F. (2018), "Fatigue retrofitting of cracked steel beams with CFRP laminates", Compos. Struct., 192, 232-244. https://doi.org/10.1016/j.compstruct.2018.02.090   DOI
22 Yu, Q.Q., Gu, X.L., Zhao, X.L., Zhang, D.M., Huang, H.W. and Jiang, C. (2019), "Characterization of model uncertainty of adhesively bonded CFRP-to-steel joints", Compos. Struct., 215, 150-165. https://doi.org/10.1016/j.compstruct.2019.02.045   DOI
23 Zhang, D., Gu, X.L., Yu, Q.Q., Huang, H.W., Wan, B.L. and Jiang, C. (2018), "Fully probabilistic analysis of FRP-to-concrete bonded joints considering model uncertainty", Compos. Struct., 185, 786-806. https://doi.org/10.1016/j.compstruct.2017.11.058   DOI
24 Zheng, Y. (2007), "Experimental and theoretical research on fatigue behavior of steel structures strengthened with CFRP", Ph.D. Dissertation; Tsinghua University, Beijing, China.
25 Wang, H.T., Wu, G., Dai, Y.T. and He, X.Y. (2016b), "Experimental study on bond behavior between CFRP plates and steel substrates using digital image correlation", J. Compos. Constr., 20(6), 04016054. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000701   DOI
26 Wang, H.T., Wu, G. and Wu, Z.S. (2014), "Effect of FRP configurations on the fatigue repair effectiveness of cracked steel plates", J. Compos. Constr., 18(1), 04013023. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000422   DOI
27 Wang, H.T., Wu, G. and Jiang, J.B. (2016a), "Fatigue behavior of cracked steel plates strengthened with different CFRP systems and configurations", J. Compos. Constr., 20(3), 04015078. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000647   DOI
28 Abd-Elhady, A.A. and Sallam, H.E.M. (2017), "Discussion of 'Fatigue Behavior of Cracked Steel Plates Strengthened with Different CFRP Systems and Configurations' by Hai-Tao Wang, Gang Wu, and Jian-Biao Jiang", J. Compos Constr., 21(3), 07016002. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000767
29 Albrecht, P., Lenwari, A. and Feng, D.Q. (2008), "Stress intensity factors for structural steel I-beams", J. Struct. Eng., 134(3), 421-429. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:3(421)   DOI
30 Bansal, P.P., Sharma, R. and Mehta, A. (2016), "Retrofitting of RC girders using pre-stressed CFRP sheets", Steel Compos. Struct., Int. J., 20(4), 833-849. https://doi.org/10.12989/scs.2016.20.4.833   DOI
31 Wang, H.T. Wu, G. and Pang, Y.Y. (2018), "Theoretical and numerical study on stress intensity factors for FRP-strengthened steel plates with double-edged cracks", Sensors, 18(7), 2356. https://doi.org/10.3390/s18072356   DOI
32 Wei, Y., Zhang, X., Wu, G. and Zhou, Y.F. (2018), "Behaviour of concrete confined by both steel spirals and fiber-reinforced polymer under axial load", Compos. Struct., 192, 577-591. https://doi.org/10.1016/j.compstruct.2018.03.041   DOI
33 Wu, G., Wang, H.T., Wu, Z.S., Liu, H.Y. and Ren, Y. (2012), "Experimental study on the fatigue behavior of steel beams strengthened with different fiber-reinforced composite plates", J. Compos. Constr., 16(2), 127-137. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000243   DOI
34 Wu, C., Zhao, X.L. and Al-Mahaidi, R. (2013), "Mode I stress intensity factor of center-cracked tensile steel plates with CFRP reinforcements", Int. J. Struct. Stab. Dy., 13(1), 1350005. https://doi.org/10.1142/S0219455413500053   DOI
35 Ye, H.W., Li, C.J., Pei, S.L., Ummenhofer, T. and Qu, H.B. (2018), "Fatigue performance analysis of damaged steel beams strengthened with prestressed unbonded CFRP plates", J. Bridge Eng., 23(7), 04018040. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001251   DOI
36 Dunn, M.L., Suwito, W. and Hunter, B. (1997), "Stress intensity factor for cracked I-beams", Eng. Fract. Mech., 57(6), 609-616. https://doi.org/10.1016/S0013-7944(97)00059-3   DOI
37 China Aviation Academy (1981), Stress Intensity Factor Handbook, Science Press, Beijing, China.
38 Colombi, P. and Fava, G. (2015), "Experimental study on the fatigue behaviour of cracked steel beams repaired with CFRP plates", Eng. Fract. Mech., 145, 128-142. https://doi.org/10.1016/j.engfracmech.2015.04.009   DOI
39 Colombi, C., Bassetti, A. and Nussbaumer, A. (2003), "Analysis of cracked steel members reinforced by pre-stress composite patch", Fatigue Fract. Eng. M., 26(1), 59-66. https://doi.org/10.1046/j.1460-2695.2003.00598.x   DOI
40 El-Emam, H.M., Salim, H.A. and Sallam, H.E. (2017), "Composite patch configuration and prestress effect on SIFs for inclined cracks in steel plates", J. Struct. Eng., 143(5), 04016229. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001727   DOI
41 GB 50017 (2003), Code for design of steel structures; China Planning Press, Beijing, China.
42 Ghafoori, E. and Motavalli, M. (2011), "Analytical calculation of stress intensity factor of cracked steel I-beams with experimental analysis and 3D digital image correlation measurements", Eng. Fract. Mech., 78(18), 3226-3242. https://doi.org/10.1016/j.engfracmech.2011.09.012   DOI
43 Ghafoori, E., Motavalli, M., Botsis, J., Herwig, A. and Galli, M. (2012), "Fatigue strengthening of damaged metallic beams using prestressed unbonded and bonded CFRP plates", Int. J. Fatigue, 44, 303-315. https://doi.org/10.1016/j.ijfatigue.2012.03.006   DOI
44 Ghafoori, E., Motavalli, M., Nussbaumer, A., Herwig, A., Prinz, G.S. and Fontana, M. (2015), "Design criterion for fatigue strengthening of riveted beams in a 120-year-old railway metallic bridge using pre-stressed CFRP plates", Compos. B: Eng., 68, 1-13. https://doi.org/10.1016/j.compositesb.2014.08.026   DOI
45 Jiao, H., Mashiri, F. and Zhao, X.L. (2012), "A comparative study on fatigue behaviour of steel beams retrofitted with welding, pultruded CFRP plates and wet layup CFRP sheets", Thin-Wall. Struct., 59, 144-152. https://doi.org/10.1016/j.tws.2012.06.002   DOI
46 Ghafoori, E., Hosseini, A., Al-Mahaidi, R., Zhao, X.L. and Motavalli, M. (2018), "Prestressed CFRP-strengthening and long-term wireless monitoring of an old roadway metallic bridge", Eng. Struct., 176, 585-605. https://doi.org/10.1016/j.engstruct.2018.09.042   DOI
47 Hmidan, A., Kim, Y.J. and Yazdani, S. (2015), "Stress intensity factors for cracked steel girders strengthened with CFRP sheets", J. Compos. Constr., 19(5), 04014085. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000552   DOI
48 Hosseini, A., Ghafoori, E., Al-Mahaidi, R., Zhao, X.L. and Motavalli, M. (2019), "Strengthening of a 19th-century roadway metallic bridge using nonprestressed bonded and prestressed unbonded CFRP plates", Constr. Build. Mater., 209, 240-259. https://doi.org/10.1016/j.conbuildmat.2019.03.095   DOI
49 Hosseini, A., Ghafoori, E., Motavalli, M., Nussbaumer, A. and Zhao, X.L. (2017), "Mode I fatigue crack arrest in tensile steel members using prestressed CFRP plates", Compos. Struct., 178, 119-134. https://doi.org/10.1016/j.compstruct.2017.06.056   DOI
50 Hu, L.L., Zhao, X.L. and Feng, P. (2016), "Fatigue behavior of cracked high-strength steel plates strengthened by CFRP sheets", J. Compos. Constr., 20(6), 04016043. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000698   DOI
51 Krueger, R. (2004), "Virtual crack closure technique: History, approach, and applications", Appl. Mech. Rev., 57(2), 109-143. https://doi.org/10.1115/1.1595677   DOI
52 Lam, A.C.C., Yam, M.C.H., Cheng, J.J.R. and Kennedy, G.D. (2010), "Study of stress intensity factor of a cracked steel plate with a single-side CFRP composite patching", J. Compos. Constr., 14(6), 791-615. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000136   DOI