Skip to main content
Log in

Energy analysis on fracture of ferroelectric ceramics

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

In the spirit of the Griffith's theory on mechanical fracture, a fracture criterion of ferroelectric ceramics in terms of energy analysis is proposed in this paper. The energy criterion is compared with the local energy release rate proposed by Gao et al. and the strain energy release rate of Park and Sun. In addition, the criterion can be used to explain why a positive electric field promotes cracking while a negative electric field can retard crack propagation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Deeg, W.F. (1980). The analysis of dislocation, crack and inclusion problems in piezoelectric solids, Ph.D. Thesis, Standford University, CA, U.S.A.

    Google Scholar 

  • Dunn, M.L. (1994). The effect of crack face boundary conditions on the fracture mechanics. Engineering Fracture Mechanics 48, 25-39.

    Google Scholar 

  • Fulton, C.C. and Gao, H.J. (1997). Electrical nonlinearity in fracture of piezoelectric ceramics, in: Mechanics Pan-America (Edited by L.G. Godoy, M. Rysz and L.E. Suarez), Applied Mechanical Reviews 50 (11 part 2), S56-S63, ASME, New York.

    Google Scholar 

  • Gao, H.J., Zhang, T.Y. and Tong, P. (1997). Local and global energy release rates for an electrically yielded crack in a piezoelectric ceramic. Journal of the Mechanics and Physics of Solids 45, 491-510.

    Google Scholar 

  • Kumar, S. and Singh, R.N. (1995). Crack propagation in piezoelectric materials under combined mechanical and electrical loading: an experimental study in: Adaptive Material Systems ASME, AMD-Vol. 206/MD-Vol. 58, 69-83. American Society of Mechanical Engineering, New York.

    Google Scholar 

  • McMeeking, R.M. (1989). Electrostrictive forces near crack-like flaws. Journal of Applied Mathematics and Physics 40, 615-627.

    Google Scholar 

  • McMeeking, R.M. (1990). A J-integral for the analysis of electrically induced mechanical stress at cracks in elastic dielectrics. International Journal of Engineering Science 28, 605-613.

    Google Scholar 

  • Park, S.B. and Sun, C.T. (1995a). Fracture criteria for piezoelectric ceramics. J. Am. Ceram. Soc. 78, 1475-1480.

    Google Scholar 

  • Park, S.B. and Sun, C.T. (1995b). Effect of electric field on fracture of piezoelectric ceramics. International Journal of Fracture 70, 302-216.

    Google Scholar 

  • Park, Y.E. (1990). Crack extension force in a piezoelectric material. Journal of Applied Mechanics 57, 647-653.

    Google Scholar 

  • Parton, Y.E. (1976). Fracture mechanics of piezoelectric materials. Acta Astronautica 3, 671-683.

    Google Scholar 

  • Sosa, H. (1992). On the fracture mechanics of piezoelectric solids. International Journal of Solids and Structures 29(21), 2613-2622.

    Google Scholar 

  • Suo, Z., Kuo, C.M., Barnet, D.M. and Willis, J.R. (1992). Fracture mechanics for piezoelectric ceramics. Journal of the Mechanics and Physics of Solids 40, 739-765.

    Google Scholar 

  • Tobin, A.G. and Pak, Y.E. (1993). Effect of electric fields on fracture behavior of PZT ceramics. Proceedings of SPIE, Smart Structural Materials SPIE 1916 78-86, AMD-Vol. 161/MD-Vol. 42, ASME.

  • Zhang, T.Y. and Tong, P. (1996). Fracture mechanics for a Mode III crack in a piezoelectric material. International Journal of Solids and Structures 33, 343-359.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fang, D., Liu, B. & Hwang, K. Energy analysis on fracture of ferroelectric ceramics. International Journal of Fracture 100, 401–408 (2000). https://doi.org/10.1023/A:1018740911313

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1018740911313

Navigation