Skip to main content
Log in

Energy release rate and bifurcation angles of piezoelectric materials with antiplane moving crack

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

Abstract

The dynamic fracture problems of the piezoelectric materials with antiplane moving crack are analysed by using function of complex variable in the paper. The results show that the coupled elastic and electric fields inside piezoelectric media depend on the speed of the crack propagation, and have singularity at the crack tip. The stress intensity factor is independent of the speed of the crack propagation, which is identical to the conclusion of purely elasticity. Moreover, independent of the electric loading, the dynamic energy release rate can be expressed by the stress intensity factor and enlarge with the increase of crack speed. High speed of the crack moving could impede the crack growth. At the same time, the crack can be propagated into either curve or bifurcation if the crack speed is higher than the critical speed.

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

  • Chen, Z-T and Karihaloo, B.L. (1999). Dynamic response of a cracked piezoelectric ceramic under arbitrary electro-mechanical impact. International Journal of Solids and Structures 36, 5125–5133.

    Google Scholar 

  • Freund, L.B. (1990). Dynamic Fracture Mechanics, Cambridge Press, Cambridge.

    Google Scholar 

  • Hou Mishan and Mei Fuliang (1998). Problems of antiplane strain of electrically permeable cracks between bonded dissimilar piezoelectric materials. Chinese Science Bulletin 43, 341–345.

    Google Scholar 

  • Khutoryansky, H.M. and Sosa, H. (1995). Dynamic representation formulas and fundamental solutions for piezoelectricity. International Journal of Solids and Structures 32, 3307–3325.

    Google Scholar 

  • Kanninen, M.F. and Popelar, C.H. (1985). Advanced Fracture Mechanics, Oxford University Press, Oxford.

    Google Scholar 

  • Li, S. and Mataga, P.A. (1996a). Dynamic crack propagation in piezoelectric materials-Part I: Electrode solution. Journal of Mechanics and Physics Solids 44, 1799–1830.

    Google Scholar 

  • Li, S. and Mataga, P.A. (1996b). Dynamic crack propagation in piezoelectric materials-Part II: Vacuum solution. Journal of Mechanics and Physics Solids 44, 1831–1866.

    Google Scholar 

  • Muskhelishvili N.I. (1954). Some Basic Problems of Mathematical Theory of Elasticity. Noordhoff, Groningen.

    Google Scholar 

  • Pak, Y.E. (1992). Linear electro-elastic fracture mechanics of piezoelectric material. International Journal of Fracture 54, 79–100.

    Google Scholar 

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

    Google Scholar 

  • Park, S.B. and Sun, C.T. (1995). Effect of electric field on fracture of piezoelectric ceramics. International Journal of Fracture 70, 203–216.

    Google Scholar 

  • Shindo, Y., Katsure, H. and Yan, W. (1996). Dynamic stress intensity factor of a cracked dielectric medium in a uniform electric field, Acta Mechanica 117, 1–10.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hou, Ms., Qian, Xq. & Bian, Wf. Energy release rate and bifurcation angles of piezoelectric materials with antiplane moving crack. International Journal of Fracture 107, 297–306 (2001). https://doi.org/10.1023/A:1007678728046

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007678728046

Navigation