Acta Mechanica Solida Sinica

, Volume 29, Issue 5, pp 536–546 | Cite as

Dielectric Breakdown Model for an Electrically Semi-Permeable Penny-Shaped Crack in Three-Dimensional Piezoelectric Media

  • Minghao Zhao
  • Huayang Dang
  • Guangtao Xu
  • Cuiying Fan
Article

Abstract

The dielectric breakdown (DB) model for a penny-shaped crack under a semipermeable boundary condition in a three-dimensional piezoelectric medium is studied. An approximate analytical solution is derived by using the boundary integral equation with extended displacement discontinuity, and the corresponding boundary element method with double iterative approaches is developed to analyze the semi-permeable crack. The effect of electric boundary conditions on crack faces is discussed on the basis of DB model. By comparing the DB model with the polarization saturation (PS) model for different piezoelectric materials, some interesting phenomena related to the electric yielding zone and local J-integral are observed.

Key Words

piezoelectric medium penny-shaped crack dielectric breakdown model polarization saturation model semi-permeable crack local J-integral 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2016

Authors and Affiliations

  • Minghao Zhao
    • 1
    • 2
  • Huayang Dang
    • 2
  • Guangtao Xu
    • 1
  • Cuiying Fan
    • 1
  1. 1.Henan Key Engineering Laboratory for Anti-fatigue Manufacturing Technology and School of Mechanical EngineeringZhengzhou UniversityZhengzhouChina
  2. 2.School of Mechanics & Engineering ScienceZhengzhou UniversityZhengzhouChina

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