Steady State Crack Propagation Behavior in a Piezoelectric Strip Bonded to Elastic Materials

탄성체에 접합된 압전 스트립에서의 균열 전파 거동

  • Published : 2002.02.01


In this paper, we consider the dynamic electromechanical behavior of an eccentric Yoffe permeable crack in a piezoelectric ceramic strip sandwiched between two elastic orthotropic materials under the combined anti-plane mechanical shear and in-plane electrical loadings. Fourier transforms are used to reduce the problem to the solution of two pairs of dual integral equations, which are then expressed to a Fredholm integral equation of the second kind. The initial crack propagation orientation for PZT-5H piezoceramics is predicted by maximum energy release rate criterion.


Piezoelectric Material;Crack Propagation;Integral Transform;Intensity factor;Dynamic Energy Release Rate


  1. Kwon, S. M. and Lee, K. Y., 2000, '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, pp. 4859-4869
  2. Freund. L. B., 1990, Dynamic Fracture Mechanics, Cambridge Press : Cambridge
  3. McClintock, F. A. and Sukhatme, S. P., 1960, 'Travelling Cracks in Elastic Materials under Longitudinal Shear,' Journal of the Mechanics and Physics of solids, Vol. 8, pp. 187-193
  4. Shin, J. W. and Lee, K. Y., 2000, 'Eccentric Crack in a Piezoelectric Strip Bonded to Half Planes,' European Journal of Mechanics A/Solids, Vol. 19, pp. 989-997
  5. Narita, F., Shindo, Y. and Watanabe, K., 1999, 'Anti-plane Shear Crack in a Piezoelectric Layer Bonded to Dissimilar Half Spaces,' JSME International Journal Series A, Vol. 42, pp. 66-72
  6. Sih, G. and Chen, E. P., 1981, Mechanics of Fracture 6 - Cracks in Composite Materials, Martinus Nijhoff Publishers : The Hague
  7. Jackson, J. D., 1976, Classical Electrodynamics, John Wiley & Sons : New York
  8. Kwon, J. H., Lee, K. Y. and Kwon, S. M., 2000, 'Moving Crack in a Piezoelectric Ceramic Strip under Anti-plane Shear Loading,' Mechanics Research Communications, Vol. 27, pp. 327-332
  9. Bleustein, J. L., 1968, 'A New Sufrace Wave in Piezoelectric Materials,' Applied Physics Letters, Vol. 13, pp. 412-413
  10. Tobin, A. G. and Pak, Y. E., 1993, 'Effect of Electric Field on fracture Behavior of PZT Ceramics,' Proceedings of SPIE, Smart Structures and Materials 1916, pp. 78-86
  11. Park, S. B. and Sun, C. T., 1995, 'Effect of Electric Field on fracture of Piezoelectric Ceramcis,' International Journal of Fracture, Vol. 70, pp. 203-216
  12. Park, S. B. and Sun, C. T., 1995, 'Fracture Criteria for Pizoelectric Ceramics,' Journal of the American Ceramic Society, Vol. 78, pp. 1475-1480
  13. Chen, Z. T., Karihaloo, B. L. and Yu, S. W., 1998, 'A Griffith Crack Moving Along the Interface of Two Dissimilar Piezoelectric Materials,' International Journal of Fracture, Vol. 91, pp. 197-203
  14. Chen, Z. T. and Yu, S. W., 1997, 'Antiplane Yoffe Crack Problem in Piezoelectric Materials,' International Journal of Fracture, Vol. 84, pp. L41-L45
  15. Yoffe, E. H., 1951, 'The Moving Griffith Crack,' Philosophical Magazine, Vol. 42, pp. 739-750