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International Journal of Fracture

, Volume 118, Issue 3, pp 239–249 | Cite as

Steady propagate crack in a transverse isotropic piezoelectric material considering the permittivity of the medium in the crack gap

  • Hao Tian-hu
Article

Abstract

This paper derives an exact solution of the steady propagated crack in a transverse isotropic piezoelectric material plane. In order to consider the medium in the crack gap, two cases have been studied. In the first case, the permittivity of the medium in the crack gap εa is far less than that of piezoelectric materials εm. Therefore, the electric induction in the gap (Pak, 1990; Suo et al., 1992) is neglected. In the second case, the permittivity of the medium in the crack gap is comparable with that of piezoelectric material. This electric induction is considered. This result shows that the consideration of the induction has reduced the electric displacement intensity factor k4. Due to the influence of the dynamic effect, the elastic constants have become smaller as the dynamic anisotropy case. It must be pointed out that only the small speed of steady propagated crack is considered. Therefore, according to Sosa et al. (1999, 2001), the magnetic effect is neglected.

Boundary condition permittivity piezoelectric steady propagated crack. 

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Hao Tian-hu
    • 1
  1. 1.China Textile UniversityShangaiP.R. China E-mail

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