Journal of the Korean Society for Precision Engineering (한국정밀공학회지)

Korean Society for Precision Engineering (한국정밀공학회)
권호 표지

Analysis of a Crack in Ferroelectric Ceramics Subjected to Electric Fields

전기장을 받는 강유전체 세라믹내의 균열 해석

  • 범현규 (전남대학교 기계공학과) ;
  • 김인옥 (전남대학교 기계공학과 대학원)
  • Published : 2003.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

A crack in a ferroelectric ceramic subjected to an electric field is analyzed. The boundary of the electrical saturation zone is estimated based on the finite-width saturation zone model, which is analogous to a finite-width Dugdale zone model for mode III. It is shown that the shape and size of the switching zone depends strongly on the boundary of the electrical saturation zone and the ratio of the coercive electric field to the yield electric field. The crack tip stress intensity factor under small scale conditions is evaluated by employing the model of electric nonlinear domain switching. It is found that fracture toughness of the ferroelectric material may be increased or decreased depending on the material property of electrical nonlinearity.

Keywords

References

  1. Kwak, M. K., 'Active Vibration Control of Smart Structure Using Piezoceramics,' Journal of the KSPE, Vol. 18, No. 12, pp. 30-46, 2001
  2. Zhang, T.-Y., Zhao, M. H., Tong, P., 'Fracture of Piezoelectric Ceramics,' Adv. Appl. Mech., Vol. 38, pp. 147-289, 2002 https://doi.org/10.1016/S0065-2156(02)80104-1
  3. Tobin, A. G. and Pak, Y. E., 'Effect of Electric Fields in Fracture Behavior of PZT Ceramics,' Proc. SPIE, Smart Struct. Mater., 1916, pp. 78-86, 1993 https://doi.org/10.1117/12.148506
  4. Park, S. and Sun, C.-T., 'Fracture Criteria for Piezoelectric Ceramics,' J. Am. Ceram. Soc., Vol. 78, pp. 1475-1480, 1995 https://doi.org/10.1111/j.1151-2916.1995.tb08840.x
  5. Wang, H. and Singh, R. N., 'Crack Propagation in Piezoelectric Ceramic: Effects of Applied Electric Fields,' J. Appl. Phys., Vol. 81, pp. 7471-7479, 1997 https://doi.org/10.1063/1.365290
  6. Fu, R. and Zhang, T.-Y., 'Effects of an Electric Field on the Fracture Toughness of Poled Lead Zirconate Titanate Ceramics,' J. Am. Ceram. Soc., Vol. 83, pp. 1215-1218, 2000 https://doi.org/10.1111/j.1151-2916.2000.tb01356.x
  7. Gao, H. and Barnett, D. M., 'An Invariance Property of Local Energy Release Rates in a Strip Saturation Model of Piezoelectric Fracture,' Int. J. Fract., Vol. 79, pp. R25-R29, 1996 https://doi.org/10.1007/BF00032938
  8. Gao, H., Zhang, T.-Y., and Tong, P., 'Local and Global Energy Release Rates for an Electrically Yielded Crack in a Piezoelectric Ceramic,' J. Mech. Phys. Solids., Vol. 45, pp. 491-510, 1997 https://doi.org/10.1016/S0022-5096(96)00108-1
  9. Ru, C. Q., 'Effect of Eletric Polarization Saturation on Stress Intensity Factors in a Piezoelctric Ceramic,' Int. J. Solid Structure, Vol. 36, pp. 869-883, 1999 https://doi.org/10.1016/S0020-7683(97)00331-4
  10. Beom, H. G., 'Effect of Polarization Saturation on the Stress Intensity Factor for a Crack in an Electrostrictive Ceramic,' Philosophical Magazine A, Vol. 81, pp. 2303-2314, 2001 https://doi.org/10.1080/01418610010019062
  11. Zhu, T. and Yang, W., 'Toughness Variation of Ferroelectrics by Polarization Switch Under Non-uniform Electric Field,' Acta Mater., Vol. 45, pp. 4695-4702, 1997 https://doi.org/10.1016/S1359-6454(97)00123-7
  12. Yang, W. and Zhu, T., 'Switch-Toughening of Ferroelectrics Subjected to Electric Fields,' J. Mech. Phys. Solids, Vol. 46, pp. 291-311, 1998 https://doi.org/10.1016/S0022-5096(97)00062-8
  13. Zeng, X. and Rajapakse, R. K. N. D., 'Domain Switching Induced Fracture Toughness Variation in Ferroelectrics,' Smart Mater. Struct., Vol. 10, pp. 203-211, 2001 https://doi.org/10.1088/0964-1726/10/2/305
  14. Kreher, W. S., 'Influence of Domain Switching Zones on the Fracture Toughness of Ferroelectrics,' J. Mech. Phys. Solids, Vol. 50, pp. 1029-1050, 2002 https://doi.org/10.1016/S0022-5096(01)00110-7
  15. Beom, H. G. and Atluri, S. N., 'Effect of Electric Fields on Fracture Behavior of Ferroelectric Ceramics,' J. Mech. Phys. Solids, Vol. 51, pp. 1107-1125, 2003 https://doi.org/10.1016/S0022-5096(03)00004-8
  16. Hwang, S. C., Lynch, C. S. and McMeeking, R. M., 'Ferroelectric/Ferroelastic Interactions and a Polarization Switching Model,' Acta Metall. Mater., Vol. 43, pp. 2073-2084, 1995 https://doi.org/10.1016/0956-7151(94)00379-V
  17. Unger, D .J., 'A Finite-Width Dugdale Zone Model for Mode Ⅲ,' Engng. Fract. Mech., Vol. 34, pp. 977-987, 1989 https://doi.org/10.1016/0013-7944(89)90232-4