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The Scientific World Journal
Volume 2014, Article ID 427879, 8 pages
http://dx.doi.org/10.1155/2014/427879
Research Article

Free Vibration Analysis of Patch Repaired Plates with a Through Crack by -Convergent Layerwise Element

Department of Civil Engineering, Yeungnam University, 280 Daehak-Ro, Gyeongsan, Gyeongbuk 712-749, Republic of Korea

Received 7 February 2014; Accepted 9 June 2014; Published 17 August 2014

Academic Editor: José R. d’Almeida

Copyright © 2014 Jae S. Ahn 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. A. A. Baker, R. J. Callinan, M. J. Davis, R. Jones, and J. G. Williams, “Repair of mirage III aircraft using the BFRP crack-patching technique,” Theoretical and Applied Fracture Mechanics, vol. 2, no. 1, pp. 1–15, 1984. View at Google Scholar · View at Scopus
  2. L. Molent, R. J. Callinan, and R. Jones, “Design of an all boron/epoxy doubler reinforcement for the F-111C wing pivot fitting: structural aspects,” Composite Structures, vol. 11, no. 1, pp. 57–83, 1989. View at Publisher · View at Google Scholar · View at Scopus
  3. A. A. Baker, “Repair efficiency in fatigued-cracked aluminum components reinforced with boron/epoxy patches,” Fatigue and Fracture of Engineering Materials & Structures, vol. 16, no. 7, pp. 753–765, 1993. View at Google Scholar
  4. D. W. Oplinger, “Effects of adherend deflections in single lap joints,” International Journal of Solids and Structures, vol. 31, no. 18, pp. 2565–2587, 1994. View at Publisher · View at Google Scholar · View at Scopus
  5. M. Y. Tsai and J. Morton, “An evaluation of analytical and numerical solutions to the single-lap joint,” International Journal of Solids and Structures, vol. 31, no. 18, pp. 2537–2563, 1994. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  6. A. Barut, J. Hanauska, E. Madenci, and D. R. Ambur, “Analysis method for bonded patch repair of a skin with a cutout,” Composite Structures, vol. 55, no. 3, pp. 277–294, 2002. View at Publisher · View at Google Scholar · View at Scopus
  7. E. Oterkus, A. Barut, E. Madenci, and D. R. Ambur, “Nonlinear analysis of a composite panel with a cutout repaired by a bonded tapered composite patch,” International Journal of Solids and Structures, vol. 42, no. 18-19, pp. 5274–5306, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  8. M. R. Ayatollahi and R. Hashemi, “Mixed mode fracture in an inclined center crack repaired by composite patching,” Composite Structures, vol. 81, no. 2, pp. 264–273, 2007. View at Publisher · View at Google Scholar · View at Scopus
  9. F. Ellyin, F. Ozah, and Z. Xia, “3-D modelling of cyclically loaded composite patch repair of a cracked plate,” Composite Structures, vol. 78, no. 4, pp. 486–494, 2007. View at Publisher · View at Google Scholar · View at Scopus
  10. J. S. Ahn and P. K. Basu, “Locally refined p-FEM modeling of patch repaired plates,” Composite Structures, vol. 93, no. 7, pp. 1704–1716, 2011. View at Publisher · View at Google Scholar · View at Scopus
  11. A. M. Kumar and S. A. Hakeem, “Optimum design of symmetric composite patch repair to centre cracked metallic sheet,” Composite Structures, vol. 49, no. 3, pp. 285–292, 2000. View at Google Scholar · View at Scopus
  12. J. Wang, A. N. Rider, M. Heller, and R. Kaye, “Theoretical and experimental research into optimal edge taper of bonded repair patches subject to fatigue loadings,” International Journal of Adhesion and Adhesives, vol. 25, no. 5, pp. 410–426, 2005. View at Publisher · View at Google Scholar · View at Scopus
  13. B. Stahl and L. M. Keer, “Vibration and stability of cracked rectangular plates,” International Journal of Solids and Structures, vol. 8, no. 1, pp. 69–91, 1972. View at Publisher · View at Google Scholar · View at Scopus
  14. R. Solecki, “Bending vibration of a simply supported rectangular plate with a crack parallel to one edge,” Engineering Fracture Mechanics, vol. 18, no. 6, pp. 1111–1118, 1983. View at Google Scholar · View at Scopus
  15. K. M. Liew, K. C. Hung, and M. K. Lim, “A solution method for analysis of cracked plates under vibration,” Engineering Fracture Mechanics, vol. 48, no. 3, pp. 393–404, 1994. View at Google Scholar · View at Scopus
  16. G. Wu and Y. Shih, “Dynamic instability of rectangular plate with an edge crack,” Computers & Structures, vol. 84, no. 1-2, pp. 1–10, 2005. View at Publisher · View at Google Scholar · View at Scopus
  17. M. Bachene, R. Tiberkak, and S. Rechak, “Vibration analysis of cracked plates using the extended finite element method,” Archive of Applied Mechanics, vol. 79, no. 3, pp. 249–262, 2009. View at Publisher · View at Google Scholar · View at Scopus
  18. C. S. Huang, A. W. Leissa, and R. S. Li, “Accurate vibration analysis of thick, cracked rectangular plates,” Journal of Sound and Vibration, vol. 330, no. 9, pp. 2079–2093, 2011. View at Publisher · View at Google Scholar · View at Scopus
  19. I. Babuska and B. Szabo, “On the rates of convergence of the finite element method,” International Journal for Numerical Methods in Engineering, vol. 18, no. 3, pp. 323–341, 1982. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. J. S. Ahn, P. K. Basu, and K. S. Woo, “Hierarchic layer models for anisotropic laminated plates,” KSCE Journal of Civil Engineering, vol. 15, no. 6, pp. 1067–1080, 2011. View at Publisher · View at Google Scholar · View at Scopus
  21. J. S. Ahn, P. K. Basu, and K. S. Woo, “Analysis of cracked aluminum plates with one-sided patch repair using p-convergent layered model,” Finite Elements in Analysis and Design, vol. 46, no. 5, pp. 438–448, 2010. View at Publisher · View at Google Scholar · View at Scopus
  22. P. Solin, K. Segeth, and I. Dolezel, Higher-Order Finite Element Methods, Chapman and Hall, 2004. View at MathSciNet