Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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Mode I Field Intensity Factors of Infinitely Long Strip in Piezoelectric Media

  • Kwon, Soon-Man (Department of Mechanical Engineering, Yonsei University) ;
  • Lee, Kang-Yong (Department of Mechanical Engineering, Yonsei University)
  • Published : 2000.08.01
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Abstract

We consider the problem of determining the singular stresses and electric fields in a piezoelectric ceramic strip containing a Griffith crack under in-plane normal loading within the framework of linear piezoelectricity. The potential theory method and Fourier transforms are used to reduce the problem to the solution of dual integral equations, which are then expressed to a Fredholm integral equation of the second kind. Numerical values on the field intensity factors are obtained, and the influences of the electric fields for PZT-6B piezoelectric ceramic are discussed.

Keywords

References

  1. Gao, C. F. and Fan, W. X., 1999, 'Exact Solutions for the Plane Problem in Piezoelectric Materials with an Elliptic or a Crack,' International Journal of Solids and Structures Vol. 36, pp. 2527-2540 https://doi.org/10.1016/S0020-7683(98)00120-6
  2. 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 https://doi.org/10.1016/S0020-7683(99)00186-9
  3. Pak, Y. E. , 1990, 'Crack Extension Force in a Piezoelectric Materials,' ASME 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. 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
  6. 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
  7. Tobin, A. G., Pak, Y. E., 1993, 'Effect of electric field on fracture behavior of PZT ceramics.' Proc. SPIE, Smart Structures and Materials 1916, pp. 78-86