Crack Problem at Interface of Piezoelectric Strip Bonded to Elastic Layer Under Anti-Plane Shear

  • Lee, Kang-Yong (Department of Mechanical Engineering, Yonsei University) ;
  • Kwon, Jong-Ho (Department of Mechanical Engineering, Yonsei University)
  • Published : 2001.01.01

Abstract

Using the theory of linear piezoelectricity, the problem of two layered strip with a piezoelectric ceramic bonded to an elastic material containing a finite interface crack is considered. The out-of-plane mechanical and in-plane electrical loadings are simultaneously applied to the strip. Fourier transforms are used to reduce the problem to a pair of dual integral equations, which is then expressed in terms of a Fredholm integral equation of the second kind. The stress intensity factor is determined, and numerical analyses for several materials are performed and discussed.

Keywords

References

  1. Beom, H. G. and Atluri, S. N., 1996, 'Near-Tip Fields and Intensity Factors for Interfacial Cracks in Dissimilar Anisotropic Piezoelectric Media,' International Journal of Fracture, Vol. 75, pp. 163-183 https://doi.org/10.1007/BF00034075
  2. Chen, Z. T., Yu, S. W. and Karihaloo, B. L., 1997, 'Antiplane Shear Problem for a Crack Between Two Disimilar Piezoelectric Materials,' International Journal of Fracture, Vol. 86, pp. L9-L12
  3. Degg, W. F., 1980, The Analysis of Dislocation, Crack, and Inclusion Problems in Piezoelectric Solids, Ph. D. Thesis, Standford University
  4. Dunn, M., 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
  5. 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
  6. Kim, S. J. and Jones, J. D., 1996, 'Effects of Piezo-Actuator Delamination on the Performance of Active Noise and Vibration Control System,' Journal of Intelligent Material Systems and Structures, Vol. 7, pp. 668-676 https://doi.org/10.1177/1045389X9600700606
  7. 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 A, Vol. 231, pp. 1-9 https://doi.org/10.1016/S0921-5093(97)00038-5
  8. Narita, F. and Shindo, Y., 1998, 'Layered Piezoelectric Medium with Interface Crack Under Anti-Plane Shear,' Theretical and Applied Fracture Mechanics, Vol. 30, pp. 119-126 https://doi.org/10.1016/S0167-8442(98)00048-2
  9. Narita, F., Shindo, Y. and Watanabe, K., 1999, 'Anti-Plane Shear Crack in a Piezoelectric Layer Bonded to Dissimilar Half Spaces,' JSME International Journal A, Vol. 42, No. 1, pp. 66-72
  10. Pak, Y. E., 1990, 'Crack Extension Force in a Piezoelectric Material,' Transactions of the ASME, Journal of Applied Mechanics, Vol. 57, pp. 647-653
  11. Park, S. B. and Sun, C. T., 1995, 'Effect of Electric Field on Fracture of Piezoelectric Ceramic,' International Journal of Fracture, Vol. 70, pp. 203-216 https://doi.org/10.1007/BF00012935
  12. 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
  13. Sosa, H. A. and Pak, Y. E., 1990, 'Three-Dimensional Eigenfunction Analysis of a Crack in a Piezoelectric Material,' International Journal of Soilds and Structures, Vol. 26, pp. 1-15 https://doi.org/10.1016/0020-7683(90)90090-I
  14. Sosa, H. and Khutoryanski, N., 1996, 'New Developments Concerning Piezoelectric Materials with Defects,' International Journal of Solids and Structures, Vol. 33, pp. 3399-3414 https://doi.org/10.1016/0020-7683(95)00187-5