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Prediction of Service Life in Concrete Structures based on Diffusion Model in a Marine Environment Using Mesh Free, FEM and FDM Approaches | ||
| Journal of Rehabilitation in Civil Engineering | ||
| مقاله 1، دوره 8، شماره 4 - شماره پیاپی 20، بهمن 2020، صفحه 1-14 اصل مقاله (810.83 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22075/jrce.2020.19189.1380 | ||
| نویسندگان | ||
| Atiye Farahani* 1؛ Hosein Taghaddos2 | ||
| 1Assistant Professor, Department of Civil Engineering, Tafresh University, Tafresh, Iran | ||
| 2Assistant Professor, School of Civil Engineering, University of Tehran, Tehran, Iran | ||
| تاریخ دریافت: 18 بهمن 1398، تاریخ بازنگری: 06 اردیبهشت 1399، تاریخ پذیرش: 04 خرداد 1399 | ||
| چکیده | ||
| Chloride-induced corrosion is a key factor in the premature corrosion of concrete structures exposed to a marine environment. Fick's second law of diffusion is the dominant equation to model diffusion of chloride ions. This equation is traditionally solved by Finite Element Method (FEM) and Finite Difference Method (FDM). Although these methods are robust and efficient, they may face some numerical issues due to discretization process. This study solves the Fick's equation using the Element-Free Galerkin (EFG) method as well as traditional FEM and FDM. The results of these numerical methods are compared together, and validated with the analytical solution in special cases. The results show that the EFG method predicts the service life of the concrete structures, more accurately than the other methods, and exhibits the lowest displacement error and energy error for a constant diffusion coefficient problem. FDM can be performed very efficiently for simple models, and the displacement errors produced by this method do not differ considerably from the EFG results. Therefore, FDM could compete with the EFG method in simple geometries. FEM can be used with a sufficient number of elements while the convergence of the results should be controlled. However, in complicated models, FEM and especially the EFG method are much more flexible than FDM. | ||
| کلیدواژهها | ||
| Concrete؛ Diffusion؛ Element-Free Galerkin (EFG)؛ Finite Element Method (FEM)؛ Finite Difference Method (FDM) | ||
| مراجع | ||
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[1] Rodriguez, O.G., Hooton, R.D. (2003). "Influence of Cracks on Chloride Ingress into Concrete." ACI Mater. J., Vol. 100, pp. 120-126. [2] Bitaraf, M., Mohammadi, S. (2008). "Analysis of chloride diffusion in concrete structures for prediction of initiation time of corrosion using a new meshless approach." Constr. Build. Mater., Vol. 22, pp. 546-556. [3] Goltermann, P. (2003). "Chloride ingress in concrete structures; extrapolation of observations." ACI Mater. J., Vol. 100, pp. 114-119. [4] Oh, B.H., Jang, B.S. (2003). "Chloride diffusion analysis of concrete structures considering effects of reinforcements." ACI Mater. J., Vol. 100, pp. 143-149. [5] Garber, D., Shahrokhinasab, E. (2019). Performance Comparison of In-Service, Full-Depth Precast Concrete Deck Panels to Cast-in-Place Decks (No. ABC-UTC-2013-C3-FIU03-Final). Accelerated Bridge Construction University Transportation Center (ABC-UTC). [6] Ehlen, M.A. (2012). "Life-365TM Service life prediction model and computer program for predicting the service life and life-cycle cost of reinforced concrete exposed to chlorides, Manual of Life-365TM." Version 2.1, Life-365™ Consortium II. [7] Zienkiewicz, O.C., Taylor, R.L., Zhu, J.Z. (2005). "The finite element method: its basis and fundamentals." Elsevier Butterworth-Heinemann, Amsterdam, United Kingdom. [8] Li, C., Ding, H. (2014). "Higher order finite difference method for the reaction and anomalous-diffusion equation." Appl. Math Modelling. Vol. 38(15-16), pp. 3802-3821. [9] Trobec, R., Kosec, G., Sterk, M., Sarler, B. (2012). "Comparison of local weak and strong form meshless methods for 2D diffusion equation." Eng. Anal. Bound. Elem., Vol. 36, pp. 310-321. [11] Dehghan, M., Abbaszadeh, M., Mohebbi, A. (2016). "Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: Meshless interpolating element free Galerkin (IEFG) and finite element methods." Eng. Anal. Bound. Elem., Vol. 64, pp. 205-221. [12] Liu, W.K., Adee, J., Jun, S. (1993). "Reproducing kernel and wavelet particle methods for elastic and plastic problems." ASME. Vol. 33, pp. 175-190. [13] Iqbal, M., Gimperlein, H., Mohamed, M.S., Laghrouche, O. (2015). "An investigation of the accuracy of the partition of unity method for time dependent heat transfer problems." Infrastructure and Environment Scotland 3rd Postgraduate Conference, Heriot-Watt University, Edinburgh. [14] Lehoucq, R.B., Narcowich, F.J., Rowe, S.T., Ward, J.D. (2018). "A Meshless Galerkin Method For Non-Local Diffusion Using Localized Kernel Bases." Math. Comp., Vol. 87, pp. 2233-2258. [15] Zhang, T., Li, X. (2017). "A variational multiscale interpolating element-free Galerkin method for convection-diffusion and Stokes problems." Eng. Anal. Bound. Elem., Vol. 82, pp. 185-193. [16] Ingber, M.S., Chen, C.S., Tanski, J.A. (2004). "A mesh free approach using radial basis functions and parallel domain decomposition for solving three-dimensional diffusion equations." Int. J. Numer. Methods Engrg., Vol. 60, pp. 2183-2201. [17] Gyrya, V., Lipnikov, K., Manzini, G. (2016). "The arbitrary order mixed mimetic finite difference method for the diffusion equation." ESAIM: M2AN., Vol. 50(3), pp. 851-877. [18] Yang, Y., Huang, Z. (2016). "Tailored Finite Point Method for Parabolic Problems." Comput. Methods Appl. Math., Vol. 16(4), pp. 543-562. [19] Farahani, A., Taghaddos, H., Shekarchi, M. (2015). "Prediction of long-term chloride diffusion in silica fume concrete in a marine environment." Cem. Concr. Compos., Vol. 59, pp. 10-17. [20] Azizi Moghaddam, B. (2005). "Study on the time-dependent diffusion of chloride ion into concrete in different exposure conditions using various concrete coating." M.Sc. Thesis, University of Tehran, Tehran. [21] Chini, M., Ghods, P., Alizadeh, R., Hoseini, M., Montazer, Sh., Shekarchi, M., Ghalibafian, M. (2004). "Developing the first version of the model for service life prediction of reinforced concrete structures in Persian Gulf and Oman Sea." 2nd report, NO. CMI 8309144: Construction Materials Institute at the University of Tehran, Iran. [22] Shekarchi, M., Alizadeh, R., Ghods, P., Chini, M., Hosseini, M. (2008a). "Durability based design of RC structures in south of Iran using DuraPGulf model." Arab J. Sci. Eng., Vol. 33, pp. 77-88. [23] Shekarchi, M., Ghods, P., Alizadeh, R., Chini, M., Hoseini, M. (2008b). "DuraPGulf, a local service life model for the durability of concrete structures in the south of Iran." Arab J. Sci. Eng., Vol. 33, pp. 77-88. [24] Crank, J. (1995). "The Mathematics of Diffusion." Second ed. Oxford: Oxford Science Publications, London. [25] Gresho, P.M., Sani, R.L. (2000). "Incompressible flaw and the Finite Element Method." Vol. 1, Advection-Diffusion and Isothermal Laminar Flaw, John Wiley & Sons. [26] Cheng-Kong, C.W., Michael, E.P. (2002). "Essential boundary condition enforcement in mesh less methods: boundary flux collocation method." Int. J. Numer. Methods Engrg., Vol. 53, pp. 499-514. [27] Farahani, A., Taghaddos, H., Shekarchi, M. (2018). "Chloride diffusion modeling in pozzolanic concrete in marine site." ACI Mater. J., Vol. 115(4), pp. 509-518. [28] Shekarchi, M., Moradi-Marani, M., Pargar, F. (2011). "Corrosion damage of reinforced concrete jetty structure in the Persian Gulf: A case study." Struct. Infrastruct. Eng., Vol. 7, pp. 701-713. [29] Ghods, P., Alizadeh, R., Chini, M., Hoseini, M., Ghalibafian, M., Shekarchi, M. (2007). "Durability-based design in the Persian Gulf." Concr. Int., pp. 50-55. | ||
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