Optimizacija popravke zavarenih cevovoda sa površinskim pukotinama pomoću kompozitnog omota zasnovana na metodi konačnih elemenata: uticaj geometrije, svojstava adheziva i unutrašnjeg pritiska na ponašanje pukotine u modu I
Sažetak
Uvod/cilj: Strukturni integritet cevovoda pod pritiskom često je ugrožen pojavom površinskih pukotina, naročito u zavarenim zonama. Ovaj rad ispituje efikasnost ojačanja kompozitnim omotom pri sanaciji dužinskih polueliptičnih pukotina u zavarenim čeličnim cevovodima izloženim unutrašnjem pritisku. Iako uticaji okoline poput temperature, vlage i hemijskog dejstva nisu modelovani, isti su prepoznati kao ključni faktori koji utiču na dugoročnu izdržljivost kompozitnih popravki.
Metode: Razvijen je trodimenzionalni model konačnih elemenata za zavareni cevovod (spoljašnji prečnik = 1016 mm, debljina = 12,8 mm) sa spoljašnjom polueliptičnom pukotinom (2c = 10,24 mm, a = 2,56 mm). Tehnika virtuelnog zatvaranja pukotine primenjena je za proračun faktora intenziteta napona u modu I pod dejstvom unutrašnjih pritisaka u opsegu od 2 do 12 MPa. Parametarskom analizom ispitan je uticaj dužine omota (100–400 mm), njegove debljine (6–12 mm) i obuhvatnog ugla oko cevi (30°–360°), kao i modula smicanja adheziva, njegove debljine i efekata odlepljivanja.
Rezultati: Povećanje dužine, debljine i obuhvatnog ugla omota dovelo je do smanjenja faktora intenziteta napona, čime je poboljšano ublažavanje oterećenja u vrhu pukotine. Veći modul smicanja adheziva poboljšao je prenos opterećenja na interfejsu, dok je prevelika debljina adhezivnog sloja smanjila efikasnost popravke. Lokalizovano odlepljivanje adheziva značajno je povećalo faktore intenziteta napona pod pritiskom, ukazujući na veliku osetljivost učinka popravke na kvalitet vezivanja lepka.
Zaključak: Rad pruža smernice za projektovanje i optimizaciju kompozitnih ojačanja pri sanaciji zavarenih cevovoda. Iako je u radu analiziran pravougaoni omot, buduća istraživanja bi trebalo da obuhvate alternativne geometrijske oblike u cilju smanjenja koncentracije opterećenja na ivicama, kao i da uzmu u obzir uticaje okoline i zamora materijala radi pouzdanije dugoročne procene.
Reference
Aabid, A., Bin Rosli, M. and Hrairi, M . 2025 . Enhancing repair of cracked plate using fiber-reinforced composite patch: Experimental and simulation analysis , Forces in Mechanics, 18, p. 100302. Available at: https://doi.org/10.1016/j.finmec.2024.100302
Abduljabbar, A., Khazal, H. and Hassan, A.K.F. 2022 .Experimental study on repair of cracked pipe under internal pressure , Periodicals of Engineering and Natural Sciences (PEN), 10(6), pp. 67–76. Available at: http://dx.doi.org/10.21533/pen.v10i6.3369
Abdulla, M., Hrairi M., Aabid, A. and Abdullah, N. 2024 .Influence of adhesive curing temperature and geometrical parameters on composite patch repair of cracked structures , Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 119(1), pp. 1–12. Available at: https://doi.org/10.37934/arfmts.119.1.112
Adediran, I., Fritz, J. and Truster, T. 2025. Comparative analysis of different adhesive model representations in single lap joints using finite element analysis , Applied Sciences, 15(5). Available at: https://doi.org/10.3390/app15052661
Al Shabibi, A., Aal Thani, I., Al Jahwari, F. and Goher, K. 2024. Failure analysis using finite element method of defective pipelines reinforced with composite repair system , Petroleum Science and Technology, pp. 1–19. Available at: https://doi.org/10.1080/10916466.2024.2384524
Alexander, C. 2007. Guidelines for repairing damaged pipelines using composite materials , in Nnational Aassociation of Ccorrosion Eengineering . NACE. Availabel at: https://www.chrisalexander.com/wp-content/uploads/2020/05/8-5.pdf
Ali Ghaffari, M. and Hosseini-Toudeshky, H. 2013. Fatigue crack propagation analysis of repaired pipes with composite patch under cyclic pressure , Journal of Pressure Vessel Technology, 135(3), p. 031402. Available at: https://doi.org/10.1115/1.4023568
Ali, A.J., Toor, Z.S,. Shifa, M. and Manzoor, O. 2024. Root cause analysis of glass fiber-reinforced polymer composite pipe failed in marine environment , Journal of Failure Analysis and Prevention, 24(3), pp. 1351–1364. Available at: https://doi.org/10.1007/s11668-024-01926-6
Baghban, A. and Yousefikhoshbakht, M. 2022. A mathematical model for planning oil products distribution via pipeline , arXiv preprint arXiv:2203.15295. Available at: https://doi.org/10.48550/arXiv.2203.15295
Banea, M.D. and da Silva, L.F. 2009. Adhesively bonded joints in composite materials: an overview , Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 223(1), pp. 1–18. Available at: https://doi.org/10.1243/14644207JMDA219
Benkheira, A., Belhouari, M. and Gong, X.L. 2022 . Experimental and numerical study of the effect of debonding defect in composite patch repairs on composite plate , Journal of Failure Analysis and Prevention, 22(4), pp. 1669–1692. Available at: https://doi.org/10.1007/s11668-022-01455-0
Berkache, A., Lee, J. and Choe, E. 2021 . Evaluation of cracks on the welding of austenitic stainless steel using experimental and numerical techniques , Applied Sciences, 11(5), p. 2182. Available at: https://doi.org/10.3390/app11052182
Cao, Y., Chang, Q. and Zhen, Y. 2022. Numerical simulation of fracture behavior for the pipeline with girth weld under axial load , Engineering Failure Analysis, 136, p. 106221. Available at: https://doi.org/10.1016/j.engfailanal.2022.106221
Chan, P.H., Tshai, K,Y., Johnson, M. and Li, S.2015. Finite element analysis (FEA) modelling of fiber-reinforced polymer (FRP) repair in offshore risers , in Rehabilitation of Pipelines Using Fiber-reinforced Polymer (FRP) Composites. Elsevier, pp. 177–210. Available at: https://doi.org/10.1016/B978-0-85709-684-5.00009-6
Chang, Q., Cao, Y., Zhen, Y. and Fagen, L. 2023. Study on the effect of loading conditions on the fracture behavior of pipeline with girth weld , International Journal of Pressure Vessels and Piping, 203, p. 104940. Available at: https://doi.org/10.1016/j.ijpvp.2023.104940
Chen, J., Wang, H., Salemi, M. and Balagruru, P.N . 2021. Finite element analysis of composite repair for damaged steel pipeline , Coatings, 11(3), p. 301. Available at: https://doi.org/10.3390/coatings11030301
Chen, Y., Xie, Y., Wang, W. and Li, J. 2022. Failure analysis of weld cracking of gas gathering pipeline in dewatering station , Journal of Engineering and Applied Science, 69(1), p. 94. Available at: https://doi.org/10.1186/s44147-022-00131-2
Chen, Y., Feng, R. and Ruan, X. 2016 . Behaviour of steel-concrete-steel SHS X-joints under axial compression , Journal of Constructional Steel Research, 122, pp. 469–487. Available at: https://doi.org/10.1016/j.jcsr.2016.04.006
Cui, C., Bortot, P., Ortolani, M. and Martinez-Paneda, E. 2024. Computational predictions of hydrogen-assisted fatigue crack growth , International Journal of Hydrogen Energy, 72, pp. 315–325. Available at: https://doi.org/10.1016/j.ijhydene.2024.05.264
Davaripour, F., Roy, K. and Maghoul, P. 2022 .Application of CFRP wrap for reinforcing undamaged thin-walled pipe bends under thermal expansion loads , Journal of Pipeline Systems Engineering and Practice, 13(4), p. 04022040. Available at: https://doi.org/10.1061/(ASCE)PS.1949-1204.0000677
Deng, J., Zhou, G., Bordas, S., Xiang, C. and Cai, D. 2017. Numerical evaluation of buckling behaviour induced by compression on patch-repaired composites , Composite Structures, 168, pp. 582–596. Available at: https://doi.org/10.1016/j.compstruct.2016.12.071
Deng, J., Huang, W. and Cheng, X. 2025. Tensile properties of scarf-repaired composite laminates with bonding defects , Applied Composite Materials, 32(2), pp. 575–597. Available at: https://doi.org/10.1007/s10443-024-10286-1
Djendara, A.A., Khiari, M.A., Benzaama, A., and Bencherif, M. 2025. Study of heat-induced and residual stress patterns in stainless steel pipe welds , Studies in Science of Science, 43(2), pp. 219–234. Available at: https://doi.org/10.5281/zenodo.14967753
Dumitrescu, A., Minescu, M. Dinita, A, and Lambrescu, I.2021. Corrosion repair of pipelines using modern composite materials systems: A numerical performance evaluation , Energies, 14(3), p. 615. Available at: https://doi.org/10.3390/en14030615
Durmus, H., Kaman, M.O., Yanen, C. and Mustafa, A. 2025. Fracture behavior of cracked composite plates repaired with a patch under various loading conditions , Sādhanā, 50(1), p. 15. Available at: https://doi.org/10.1007/s12046-025-02678-1
Fan, Y., Shuai, Y., Shuai, J., Zhang, T., Zhang, Y., Shi, L. and Shan, K. 2024. The effect of pipeline root weld microstructure on crack growth behaviour , Engineering Failure Analysis, 161, p. 108265. Available at: https://doi.org/10.1016/j.engfailanal.2024.108265
Feng, Q., Li, R., Nie, B., Liu, S., Zhao, L. and Zhang, H. 2016 . Literature review: Theory and application of in-line inspection technologies for oil and gas pipeline girth weld defection , Sensors, 17(1), p. 50. Available at: https://doi.org/10.3390/s17010050
Goland, M. and Reissner, E. 1944. The stresses in cemented joints . Journal of Applied Mechanics , 11(1), pp.A17–A27. Available at: https://doi.org/10.1115/1.4009336
Guessab, A., Slamene, A., Hamza, B. and Mokhtari, M. 2025. Localized heat treatment and XFEM-based investigation of damage mechanisms in reinforced notched plates under uniaxial tensile stress , Mechanics of Advanced Materials and Structures, 32(5), pp. 826–840. Available at: https://doi.org/10.1080/15376494.2024.2356073
Guo, L., Wang, J., Wu, S. and Zhong, L. 2019. Experimental investigation and analytical modelling of blind bolted flush or extended end plate connections to circular CFDST columns , Engineering Structures, 192, pp. 233–253. Available at: https://doi.org/10.1016/j.engstruct.2019.04.053
Guo, L., Wang, L., Wang, L., Wu, M., Pan, T., Xiao, H., Qiao, N. and Li, X. 2024. Failure analysis of fillet weld crack in linepipe , Materials Technology, 39(1), p. 2366745. Available at: https://doi.org/10.1080/10667857.2024.2366745
Hartquist, C., Wang, S., Cui, Q., Matsuki, W., Deng, B. and Zhao, X. 2025. Scaling law for intrinsic fracture energy of diverse stretchable networks’, Physical Review X, 15(1), p. 011002. Available at: https://doi.org/10.1103/PhysRevX.15.011002
Hirose, Y., Matsuda, H., Matsubara, G., Masaki, H., Yoshida, K. and Inamura, F. 2013. Numerical analysis of splice-type crack arrester with a filler under mode-I type loading , Composite Structures, 100, pp. 127–134. Available at: https://doi.org/10.1016/j.compstruct.2012.12.045
Irwin, G.R. 1957. Analysis of stresses and strains near the end of a crack traversing a plate . Journal of Applied Mechanics, 24(3), pp.361–364.Available at: https://doi.org/10.1115/1.4011547
Karmakov, S., Cepero-Mejías, F. and Curiel-Sosa, J. 2020. Numerical analysis of the delamination in CFRP laminates: VCCT and XFEM assessment , Composites Part C: Open Access, 2, p. 100014. Available at: https://doi.org/10.1016/j.jcomc.2020.100014
Klass, A.B. and Meinhardt, D. 2014. Transporting oil and gas: US infrastructure challenges , Iowa Law Review, 100, p. 947. Available at: https://ssrn.com/abstract=2410977
Krueger, R. 2004. Virtual crack closure technique: History, approach, and applications’, Applied Mechanics Reviews, 57(2), pp. 109–143. Available at: https://doi.org/10.1115/1.1595677
Kumar, V. and Singh, A. 2025. Investigation of mode I fatigue crack growth in CFRP-aluminium adhesive joints: Effects of loading protocols, fiber bridging, and similitude parameters , Engineering Fracture Mechanics, 319, p. 111010. Available at: https://doi.org/10.1016/j.engfracmech.2025.111010
Lai, H., Fan, D. and Liu, K. 2022. The effect of welding defects on the long-term performance of HDPE pipes , Polymers, 14(19), p. 3936. Available at: https://doi.org/10.3390/polym14193936
León-Henao, H., et al. 2024. Failure analysis of a welded 316L stainless-steel stack with premature damage due to stress-corrosion cracking , Journal of Failure Analysis and Prevention, 24(6), pp. 2683–2699. Available at: https://doi.org/10.1007/s11668-024-01990-y
Leski, A. 2007. Implementation of the virtual crack closure technique in engineering FE calculations , Finite Elements in Analysis and Design, 43(3), pp. 261–268. Available at: https://doi.org/10.1016/j.finel.2006.10.004
Li, Z., Jiang, X., Hopman, H., Zhu, L. and Liu, Z. 2020. External surface cracked offshore steel pipes reinforced with composite repair system subjected to cyclic bending: An experimental investigation , Theoretical and Applied Fracture Mechanics, 109, p. 102703. Available at: https://doi.org/10.1016/j.tafmec.2020.102703
Lim, K.S., Azraai, S., Yahaya, N., Noor, N.M., Zardasti, L. and Kim, J.H. 2019. Behaviour of steel pipelines with composite repairs analysed using experimental and numerical approaches , Thin-Walled Structures, 139, pp. 321–333. Available at: https://doi.org/10.1016/j.tws.2019.03.023
Liu, J., Qin, M., Zhao, Q., Chen, L., Liu, P. and Gao, J. 2017. Fatigue performances of the cracked aluminum-alloy pipe repaired with a shaped CFRP patch , Thin-Walled Structures, 111, pp. 155–164. Available at: https://doi.org/10.1016/j.tws.2016.11.008
Ma, Q., Tian, G., Zeng, Y., Li, R., Song, H., Wang, Z., Gao, B. and Zeng, K. 2021. Pipeline in-line inspection method, instrumentation and data management , Sensors, 21(11), p. 3862. Available at: https://doi.org/10.3390/s21113862
Madenci, E., Özkılıç, Y.O. and Gemi, L. 2020. Experimental and theoretical investigation on flexure performance of pultruded GFRP composite beams with damage analyses , Composite Structures, 242, p. 112162. Available at: https://doi.org/10.1016/j.compstruct.2020.112162
Mandal, T.K., Parker, J., Gagliano, M. and Martinez-Paneda, E. 2024. Computational predictions of weld structural integrity in hydrogen transport pipelines , International Journal of Hydrogen Energy. Available at: https://doi.org/10.1016/j.ijhydene.2024.01.258
Medjdoub, S.M., Bouiadjra, B.B. and Abdelkader, M. 2018. Effect of the geometrical parameters on the efficiency of bonded composite wrap for repairing cracked pipes , Strength, Fracture and Complexity, 11(4), pp. 309–317. Available at: https://doi.org/10.3233/SFC-180232
Meniconi, L.C., Freire, J.L., Vieira, R.D, and Diniz, J.L. 2002. Stress analysis of pipelines with composite repairs , in International Pipeline Conference. Available at: https://doi.org/10.1115/IPC2002-27372
Mohammadi, S., Yousefi, M. and Khazaei, M. 2021. A review on composite patch repairs and the most important parameters affecting its efficiency and durability , Journal of Reinforced Plastics and Composites, 40(1–2), pp. 3–15. Available at: https://doi.org/10.1177/0731684420941602
Mohammed, B., Noureddine, M. and Youcef, M.A. 2025. Numerical optimization by the PFEMCT-SIF method of the crack propagation of a linear elastic material , Vojnotehnički glasnik, 73(1), pp. 136–161. Available at: https://doi.org/10.5937/vojtehg73-52739
Mousa, S., et al. 2023. The efficiency of advanced polymeric composite sleeves in the rehabilitation of cracked pipelines under combined loadings , Journal of Materials Research and Technology, 25, pp. 6395–6406. Available at: https://doi.org/10.1016/j.jmrt.2023.07.078
Nasiri, S. and Khosravani, M.R. 2023. Failure and fracture in polyethylene pipes: Overview, prediction methods, and challenges , Engineering Failure Analysis, 152, p. 107496. Available at: https://doi.org/10.1016/j.engfailanal.2023.107496
Ngabonziza, Y., Ergun, H., Kuznetsova, R., LI, J., Liaw, B., Delal, F. & Chang, J. 2010. An experimental study of self-diagnosis of interlaminar damage in carbon-fiber composites. Journal of Intelligent Material Systems and Structures, 21, 233-242.available at: https://doi.org/10.1177/1045389X09347019
Patrick, A.J. 2004 . Composites—case studies of pipeline repair applications , Pigging Products and Services Association, 12. Available at: https://ppsa-online.com/papers/2004-London-8-Patrick.pdf
Pengchao, C. 2025. Advancements and future outlook of safety monitoring, inspection and assessment technologies for oil and gas pipeline networks , Journal of Pipeline Science and Engineering Journal of Pipeline Science and Engineering. Available at: https://doi.org/10.1016/j.jpse.2025.100267
Qu, H.J., Tao, F., Gu, N., Montoya, T., Taylor, J.M., Schaller, R.F., Schindelholz, ,E. and Wharry, J.P. 2022 .Crystallographic effects on transgranular chloride-induced stress corrosion crack propagation of arc welded austenitic stainless steel , npj Materials Degradation, 6(1), p. 43. Available at: https://doi.org/10.1038/s41529-022-00252-2
Saeedi, A., Motavalli, M. and Shahverdi, M. 2024. Recent advancements in the applications of fiber‐reinforced polymer structures in railway industry—A review , Polymer Composites, 45(1), pp. 77–97. Available at: https://doi.org/10.1002/pc.27817
Said, J.M., Abdul Rahman, N.L., Jumahat, A., Zahib, Z.M. and Iman Mahadzir, M.Z. 2025. Hydrostatic pressure analysis of yarn composites patch for PVC pipes , Journal of Mechanical Engineering, 22(1). Available at: https://doi.org/10.24191/jmeche.v22i1.2921
Savari, A. 2022. Failure analysis of composite repaired pipes subjected to internal pressure , Journal of Reinforced Plastics and Composites, 41(19–20), pp. 745–764. Available at: https://doi.org/10.1177/07316844211070545
Shafaee Fallah, A., Sadeghian, M. and Golmakani, M.E. 2023 .Experimental and numerical study on the strength of repaired steel pipes with composite patches under internal pressure , Mechanics of Advanced Composite Structures, 10(2), pp. 437–448. Available at: https://doi.org/10.22075/macs.2023.29108.1459
Sontti, S.G. and Zhang, X. 2023. Numerical insights from a population balance model into the distribution of bitumen residues in industrial horizontal pipes during the hydrotransport of oil sands tailings , Industrial & Engineering Chemistry Research, 63(1), pp. 691–705. Available at: https://doi.org/10.1021/acs.iecr.3c03140
Soutis, C. and Hu, F. 1997. Design and performance of bonded patch repairs of composite structure , Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 211(4), pp. 263–271. Available at: https://doi.org/10.1243/0954410971532668
Srilakshmi, R. 2014. Experimental and numerical investigation of adhesively bonded composite patch repair of an inclined center cracked aluminium panel under static and fatigue load . Department of Mechanical and Aerospace Engineering. Available at: https://raiith.krc.iith.ac.in/handle/123456789/54450
Stapley, G. 2025. Desiccation shrinkage and cracking modelling of expansive soil using XFEM . Queensland University of Technology. Available at: https://doi.org/10.5204/thesis.eprints.255411
Thakur, H.K. and Prasad, G. 2024 .Mode 1, Mode II, and mixed Mode I/II fracture behavior of laminated structures , in Fracture Behavior of Nanocomposites and Reinforced Laminate Structures. Springer, pp. 123–155. Available at: https://doi.org/10.1007/978-3-031-68694-8_6
Tian, D., Gong, Y., Li, Z., Zou, L., Zhang, J., Zhao, L. and Hu, N. 2025. A new analytical method for determining J-integral–crack opening displacement curve of DCB specimen with large scale fiber bridging, Engineering Fracture Mechanics, 321, p. 111121. Available at: https://doi.org/10.1016/j.engfracmech.2025.111121
Wei, Y., Jin, X., Luo, Q., Li, Q. and Sun, G. 2024. Adhesively bonded joints—a review on design, manufacturing, experiments, modeling and challenges, Composites Part B: Engineering, 276, p. 111225. Available at: https://doi.org/10.1016/j.compositesb.2024.111225
Yu, Z., Zhang, J., Shen, J, and Chen, H. 2021. Simulation of crack propagation behavior of nuclear graphite by using XFEM, VCCT and CZM methods , Nuclear Materials and Energy, 29, p. 101063. Available at: https://doi.org/10.1016/j.nme.2021.101063
Zarrinzadeh, H., Kabir, M. and Deylami, A. 2017. Crack growth and debonding analysis of an aluminum pipe repaired by composite patch under fatigue loading, Thin-Walled Structures, 112, pp. 140–148. Available at: https://doi.org/10.1016/j.tws.2016.12.023
Zarrinzadeh, H., Kabir, M. and Deylami, A. 2017. Experimental and numerical fatigue crack growth of an aluminium pipe repaired by composite patch, Engineering Structures, 133, pp. 24–32. Available at: https://doi.org/10.1016/j.engstruct.2016.12.011
Zhou, W., Ji, X.L., Yang, S., Liu, J. and Ma, L.H. 2021. Review on the performance improvements and non-destructive testing of patches repaired composites, Composite Structures, 263, p. 113659. Available at: https://doi.org/10.1016/j.compstruct.2021.113659
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