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Mathematical Problems in Engineering
Volume 2015, Article ID 831419, 4 pages
http://dx.doi.org/10.1155/2015/831419
Research Article

Antiplane Problem of Periodically Stacked Parallel Cracks in an Infinite Orthotropic Plate

School of Mechanical & Electronic Engineering, Zhongyuan University of Technology, Zhengzhou 450007, China

Received 14 May 2014; Accepted 16 July 2014

Academic Editor: Oluwole Daniel Makinde

Copyright © 2015 Long Wu and Pengcheng Du. 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. F. Erdogan and M. Ozturk, “Periodic cracking of functionally graded coatings,” International Journal of Engineering Science, vol. 33, no. 15, pp. 2179–2195, 1995. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  2. Y. Z. Chen and X. Y. Lin, “Collinear crack problem for a strip of functionally graded materials in anti-plane elasticity,” Chinese Quarterly of Mechanics, vol. 27, no. 1, pp. 7–13, 2006. View at Google Scholar
  3. Y. Z. Chen, “Anti-plane problem of periodic crack in a strip of functionally graded materials,” Acta Mechanica Sinica, vol. 36, no. 4, pp. 501–506, 2004. View at Google Scholar
  4. S. H. Ding and X. Li, “Anti-plane problem of periodic interface cracks in a functionally graded coating-substrate structure,” International Journal of Fracture, vol. 153, no. 1, pp. 53–62, 2008. View at Publisher · View at Google Scholar · View at Scopus
  5. B. Wang and Y. Mai, “A periodic array of cracks in functionally graded materials subjected to transient loading,” International Journal of Engineering Science, vol. 44, no. 5-6, pp. 351–364, 2006. View at Publisher · View at Google Scholar · View at Scopus
  6. Y. E. Pak and E. Goloubeva, “Electroelastic properties of cracked piezoelectric materials under longitudinal shear,” Mechanics of Materials, vol. 24, no. 4, pp. 287–303, 1996. View at Publisher · View at Google Scholar · View at Scopus
  7. Z. H. Tong, C. P. Jiang, S. H. Lo, and Y. K. Cheung, “A closed form solution to the antiplane problem of doubly periodic cracks of unequal size in piezoelectric materials,” Mechanics of Materials, vol. 38, no. 4, pp. 269–286, 2006. View at Publisher · View at Google Scholar · View at Scopus
  8. T. H. Hao, “An exact solution of the anti-plane parallel periodical transverse crack field in a bimaterial infinite plane,” International Journal of Fracture, vol. 47, no. 3, pp. R49–R51, 1991. View at Publisher · View at Google Scholar · View at Scopus
  9. T. H. Hao and Y. C. Wu, “Elastic plane problem of collinear periodical rigid lines,” Engineering Fracture Mechanics, vol. 33, no. 6, pp. 979–981, 1989. View at Publisher · View at Google Scholar · View at Scopus
  10. S. G. Lekhnitskii, Theory of Elasticity of an Anisotropic Elastic Body, Science Press, Beijing, China, 1963.
  11. W. Y. Yang, J. L. Li, and X. X. Zhang, Method of a Complex Variable for Fracture in Composite Materials, Science Press, Beijing, China, 2005.
  12. X. X. Zhang, C. Li, X. C. Cui, and W. B. Zhao, “Analysis of mode III collinear periodic cracks-tip stress field of an infinite orthotropic plate,” Advanced Materials Research, vol. 446–449, pp. 2080–2084, 2012. View at Publisher · View at Google Scholar · View at Scopus
  13. W. B. Zhao, L. J Yu, X. X. Zhang, H. L. Xie, and Z. X. Hu, “Analysis of mode I periodic parallel cracks-tip stress field in an infinite orthotropic plate,” Mathematical Problems in Engineering, vol. 2013, Article ID 412172, 8 pages, 2013. View at Publisher · View at Google Scholar