Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2006, Article ID 91846, 16 pages
http://dx.doi.org/10.1155/MPE/2006/91846

Closed-form solution for piezoelectric layer with two collinear cracks parallel to the boundaries

1Department of Computer Science, The University of Calgary, Calgary, Alberta, Canada T2N-1N4
2Department of Mathematics and Statistics, The University of Calgary, Calgary, Alberta, Canada T2N-1N4

Received 6 February 2005; Revised 16 November 2005; Accepted 26 March 2006

Copyright © 2006 B. M. Singh 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. R. S. Dhaliwal, B. M. Singh, and D. S. Chehil, “Two coplanar Griffith cracks under shear loading in an infinitely long elastic layer,” Engineering Fracture Mechanics, vol. 23, no. 4, pp. 695–704, 1986. View at Publisher · View at Google Scholar
  2. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York, 1980. View at Zentralblatt MATH · View at MathSciNet
  3. S. M. Kwon and K. Y. Lee, “Analysis of stress and electric fields in a rectangular piezoelectric body with a center crack under anti-plane shear loading,” International Journal of Solids and Structures, vol. 37, no. 35, pp. 4859–4869, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. X.-F. Li and X.-Y. Duan, “Closed-form solution for a mode-III crack at the mid-plane of a piezoelectric layer,” Mechanics Research Communications, vol. 28, no. 6, pp. 703–710, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. Y. E. Pak, “Crack extension force in a piezoelectric materials,” Journal of Applied Mechanics, vol. 57, no. 3, pp. 647–653, 1990. View at Google Scholar · View at Zentralblatt MATH
  6. Y. E. Pak, “Linear electro-elastic fracture mechanics of piezoelectric materials,” International Journal of Fracture, vol. 54, pp. 79–100, 1992. View at Google Scholar
  7. S. B. Park and C. T. Sun, “Effect of electric field on fracture of piezoelectric ceramics,” International Journal of Fracture, vol. 70, no. 3, pp. 203–216, 1995. View at Publisher · View at Google Scholar
  8. J. W. Shin, S. M. Kwon, and K. Y. Lee, “Eccentric crack in a piezoelectric strip under electromechanical loading,” Journal of Applied Mechanics, vol. 67, no. 4, pp. 846–847, 2000. View at Publisher · View at Google Scholar
  9. Y. Shindo, F. Narita, and K. Tanaka, “Electroelastic intensification near anti-plane shear crack in orthotropic piezoelectric ceramic strip,” Theoretical and Applied Fracture Mechanics, vol. 25, no. 1, pp. 65–71, 1996. View at Publisher · View at Google Scholar
  10. Y. Shindo, K. Tanaka, and F. Narita, “Singular stress and electric fields of a piezoelectric ceramic strip with a finite crack under longitudinal shear,” Acta Mechanica, vol. 120, no. 1–4, pp. 31–45, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  11. P.-Y. Zhang and P. Tong, “Fracture mechanics for a mode III crack in a piezoelectric material,” International Journal of Solids and Structures, vol. 33, no. 3, pp. 343–359, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH