Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Determination of Intensity Factors in Piezoelectric Ceramic Strip with Impermeable Crack

전기 절연 균열을 갖는 압전 세라믹 스트립의 세기 계수 결정

  • Published : 2000.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

Using the theory of linear piezoelectricity, we consider the problem of piezoelectric ceramic infinite strip containing a finite crack with free surface traction and surface charge under anti-plane shear. The crack is symmetrically parallel to the edges of infinite strip. Fourier transforms are used to reduce the problem to two pairs of dual integral equations, which are then expressed in terms of Fredholm integral equations of the second kind. Numerical results for PZT-5H ceramic are obtained and discussed.

Keywords

References

  1. Parton, V. Z., 1976, 'Fracture Mechanics of Piezoelectric Materials,' Acta Astronautica, Vol. 3, pp. 671-683 https://doi.org/10.1016/0094-5765(76)90105-3
  2. Deeg, W. F., 1980, 'The Analysis of Dislocation, Crack, and Inclusion Problems in Piezoelectric Solids,' Ph. D. Thesis, Stanford University, Stanford, CA
  3. Pak, Y. E., 1990, 'Crack Extension Force in a Piezoelectric Material,' Journal of Applied Mechanics, Vol. 57, pp. 647-653
  4. Park, S. B. and Sun, C. T., 1995, 'Effect of Electric Field on Fracture of Piezoelectric Ceramics,' International Journal of Fracture, Vol. 70, pp. 203-216 https://doi.org/10.1007/BF00012935
  5. Kwon, S. M. and Lee, K. Y., 1999, '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, in press https://doi.org/10.1016/S0020-7683(99)00186-9
  6. Zhang, T. Y. and Hack, J. E., 1992, 'Mode III Cracks in Piezoelectric Materials, Journal of Applied Physics, Vol. 71, pp. 5865-5870 https://doi.org/10.1063/1.350483
  7. Hao, T. H. and Shen, Z. Y., 1994, 'A New Electric Boundary Condition of Electric Fracture Mechanics and Its Applications,' Engineering Fracture Mechanics, Vol. 47, pp. 793-802 https://doi.org/10.1016/0013-7944(94)90059-0
  8. Dunn, M. L., 1994, 'The Effects of Crack Face Boundary Conditions on the Fracture Mechanics of Piezoelectric Solids,' Engineering Fracture Mechanics, Vol. 48, pp. 25-39 https://doi.org/10.1016/0013-7944(94)90140-6
  9. Sosa, H., 1992, 'On the Fracture Mechanics of Piezoelectric Solids,' International Journal of Solids and Structures, Vol. 29, pp. 2613-2622 https://doi.org/10.1016/0020-7683(92)90225-I
  10. Pak, Y. E., 1992, 'Linear Electroelastic Fracture Mechanics of Piezoelectric Materials,' International Journal of Fracture, Vol. 54, pp. 79-100
  11. Kumar, S. and Singh, R. N., 1997, 'Influence of Applied Electric Field and Mechanical Boundary Condition on the Stress Distribution at the Crack Tip in Piezoelectric Materials,' Materials Science and Engineering, A231, pp. 1-9 https://doi.org/10.1016/S0921-5093(97)00038-5
  12. Shindo, Y., Narita, F. and Tanaka, K., 1996, 'Electroelastic Intensification Near Anti-Plane Shear Crack in Orthotropic Piezoelectric Ceramic Strip,' Theoretical and Applied Fracture Mechanics, Vol. 25, pp. 65-71 https://doi.org/10.1016/0167-8442(96)00008-0
  13. Shindo, Y., Tanaka, K. and Narita, F., 1997, 'Singular Stress and Electric Fields of a Piezoelectric Ceramic Strip with a Finite Crack Under Longitudinal Shear,' Acta Mechanica, Vol. 120, pp. 31-45 https://doi.org/10.1007/BF01174314