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Advances in Materials Science and Engineering
Volume 2016, Article ID 3824835, 10 pages
http://dx.doi.org/10.1155/2016/3824835
Research Article

Prediction of Chloride Diffusion in Concrete Structure Using Meshless Methods

1State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, China
2School of Human Settlements and Civil Engineering, Xi’an Jiaotong University, Xi’an 710049, China

Received 29 June 2016; Revised 10 October 2016; Accepted 16 November 2016

Academic Editor: Luciano Lamberti

Copyright © 2016 Ling Yao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. K. Rahman, W. A. Al-Kutti, M. A. Shazali, and M. H. Baluch, “Simulation of chloride migration in compression-induced damage in concrete,” Journal of Materials in Civil Engineering, vol. 24, no. 7, pp. 789–796, 2012. View at Publisher · View at Google Scholar · View at Scopus
  2. X. Shi, N. Xie, K. Fortune, and J. Gong, “Durability of steel reinforced concrete in chloride environments: an overview,” Construction and Building Materials, vol. 30, pp. 125–138, 2012. View at Publisher · View at Google Scholar · View at Scopus
  3. A. Limbeck, A. Eitzenberger, M. Bonta, and S. Burtscher, “New analysis method for the accurate determination of chloride content in the cement phase of concrete,” in Proceedings of the 10th International Conference on Mechanics and Physics of Creep, Shrinkage, and Durability of Concrete and Concrete Structures (CONCREEP '15), pp. 800–804, Vienna, Austria, September 2015. View at Publisher · View at Google Scholar
  4. C. Suwito and Y. Xi, “The effect of chloride-induced steel corrosion on service life of reinforced concrete structures,” Structure and Infrastructure Engineering, vol. 4, no. 3, pp. 177–192, 2008. View at Publisher · View at Google Scholar · View at Scopus
  5. G. Sergi, S. W. Yu, and C. L. Page, “Diffusion of chloride and hydroxyl ions in cementitious materials exposed to a saline environment,” Magazine of Concrete Research, vol. 44, no. 158, pp. 63–69, 1992. View at Publisher · View at Google Scholar
  6. M. K. Kassir and M. Ghosn, “Chloride-induced corrosion of reinforced concrete bridge decks,” Cement and Concrete Research, vol. 32, no. 1, pp. 139–143, 2002. View at Publisher · View at Google Scholar · View at Scopus
  7. T. Belytschko, Y. Y. Lu, and L. Gu, “Element-free Galerkin methods,” International Journal for Numerical Methods in Engineering, vol. 37, no. 2, pp. 229–256, 1994. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. J. P. Boyd and K. W. Gildersleeve, “Numerical experiments on the condition number of the interpolation matrices for radial basis functions,” Applied Numerical Mathematics, vol. 61, no. 4, pp. 443–459, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. X. Li, “Meshless Galerkin algorithms for boundary integral equations with moving least square approximations,” Applied Numerical Mathematics. An IMACS Journal, vol. 61, no. 12, pp. 1237–1256, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. L. Yao, L. Zhang, X. Li, and L. Zhang, “Prediction of initiation time of corrosion in RC using meshless methods,” Computers and Concrete, vol. 16, no. 5, pp. 669–682, 2015. View at Publisher · View at Google Scholar · View at Scopus
  11. X. Zhang, X.-H. Liu, K.-Z. Song, and M.-W. Lu, “Least-squares collocation meshless method,” International Journal for Numerical Methods in Engineering, vol. 51, no. 9, pp. 1089–1100, 2001. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. S. Abbasbandy and A. Shirzadi, “MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions,” Applied Numerical Mathematics, vol. 61, no. 2, pp. 170–180, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. R. Salehi and M. Dehghan, “A moving least square reproducing polynomial meshless method,” Applied Numerical Mathematics, vol. 69, pp. 34–58, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. J.-F. Wang and Y.-M. Cheng, “New complex variable meshless method for advection—diffusion problems,” Chinese Physics B, vol. 22, no. 3, Article ID 030208, 2013. View at Publisher · View at Google Scholar · View at Scopus
  15. M. Bitaraf and S. Mohammadi, “Analysis of chloride diffusion in concrete structures for prediction of initiation time of corrosion using a new meshless approach,” Construction and Building Materials, vol. 22, no. 4, pp. 546–556, 2008. View at Publisher · View at Google Scholar · View at Scopus
  16. L. Guo, T. Chen, and X.-W. Gao, “Transient meshless boundary element method for prediction of chloride diffusion in concrete with time dependent nonlinear coefficients,” Engineering Analysis with Boundary Elements, vol. 36, no. 2, pp. 104–111, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. I. V. Singh, K. Sandeep, and R. Prakash, “Heat transfer analysis of two-dimensional fins using a meshless element free Galerkin method,” Numerical Heat Transfer; Part A: Applications, vol. 44, no. 1, pp. 73–84, 2003. View at Publisher · View at Google Scholar · View at Scopus
  18. T. Luping and J. Gulikers, “On the mathematics of time-dependent apparent chloride diffusion coefficient in concrete,” Cement and Concrete Research, vol. 37, no. 4, pp. 589–595, 2007. View at Publisher · View at Google Scholar · View at Scopus
  19. M. D. A. Thomas and P. B. Bamforth, “Modelling chloride diffusion in concrete: effect of fly ash and slag,” Cement and Concrete Research, vol. 29, no. 4, pp. 487–495, 1999. View at Publisher · View at Google Scholar · View at Scopus