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Mathematical Problems in Engineering
Volume 2015, Article ID 637254, 10 pages
http://dx.doi.org/10.1155/2015/637254
Research Article

Mode Stresses for the Interaction between an Inclined Crack and a Curved Crack in Plane Elasticity

1Mathematics Department, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
2Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
3College of Foundation and General Studies, Universiti Tenaga Nasional, 43000 Kajang, Selangor, Malaysia
4Faculty of Science and Technology, Universiti Sains Islam Malaysia (USIM), 71800 Negeri Sembilan, Malaysia

Received 22 September 2014; Accepted 8 December 2014

Academic Editor: Trung Nguyen-Thoi

Copyright © 2015 N. M. A. Nik Long 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. V. V. Panasyuk, M. P. Savruk, and A. P. Datsyshyn, “A general method of solution of two-dimensional problems in the theory of cracks,” Engineering Fracture Mechanics, vol. 9, no. 2, pp. 481–497, 1977. View at Publisher · View at Google Scholar · View at Scopus
  2. B. Cotterell and J. R. Rice, “Slightly curved or kinked cracks,” International Journal of Fracture, vol. 16, no. 2, pp. 155–169, 1980. View at Publisher · View at Google Scholar · View at Scopus
  3. I. Y. Shen, “Perturbation eigensolutions of elastic structures with cracks,” Transactions ASME, Journal of Applied Mechanics, vol. 60, no. 2, pp. 438–442, 1993. View at Publisher · View at Google Scholar · View at Scopus
  4. P. A. Martin, “Perturbed cracks in two dimensions: an integral-equation approach,” International Journal of Fracture, vol. 104, no. 3, pp. 317–327, 2000. View at Google Scholar · View at Scopus
  5. Y. Z. Chen, N. Hasebe, and K. Y. Lee, Multiple Crack Problems in Elasticity, vol. 4, WIT Press, Southampton, UK, 2003.
  6. N. M. A. Nik Long and Z. K. Eshkuvatov, “Hypersingular integral equation for multiple curved cracks problem in plane elasticity,” International Journal of Solids and Structures, vol. 46, no. 13, pp. 2611–2617, 2009. View at Publisher · View at Google Scholar · View at Scopus
  7. Y. Z. Chen, D. Gross, and Y. J. Huang, “Numerical solution of the curved crack problem by means of polynomial approximation of the dislocation distribution,” Engineering Fracture Mechanics, vol. 39, no. 5, pp. 791–797, 1991. View at Publisher · View at Google Scholar · View at Scopus
  8. Y. Z. Chen, “A numerical solution technique of hypersingular integral equation for curved cracks,” Communications in Numerical Methods in Engineering, vol. 19, no. 8, pp. 645–655, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. E. D. Leonel and W. S. Venturini, “Multiple random crack propagation using a boundary element formulation,” Engineering Fracture Mechanics, vol. 78, no. 6, pp. 1077–1090, 2011. View at Publisher · View at Google Scholar · View at Scopus
  10. A. Portela, M. H. Aliabadi, and D. P. Rooke, “Dual boundary element analysis of cracked plates: singularity subtraction technique,” International Journal of Fracture, vol. 55, no. 1, pp. 17–28, 1992. View at Publisher · View at Google Scholar · View at Scopus
  11. J. H. Guo and Z. X. Lu, “Anti-plane analysis of multiple cracks originating from a circular hole in a magnetoelectroelastic solid,” International Journal of Solids and Structures, vol. 47, no. 14-15, pp. 1847–1856, 2010. View at Publisher · View at Google Scholar · View at Scopus
  12. N. I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff International Publishing, Leyden, The Netherlands, 1957.
  13. K. Mayrhofer and F. D. Fischer, “Derivation of a new analytical solution for a general two-dimensional finite-part integral applicable in fracture mechanics,” International Journal for Numerical Methods in Engineering, vol. 33, no. 5, pp. 1027–1047, 1992. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus