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.
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Project supported by the National Natural Science Foundation of China (Nos. 11102186 and 11272290) and the Science and Technology Key Project of Henan (No. 132102210412).
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Zhao, M., Dang, H., Xu, G. et al. Dielectric Breakdown Model for an Electrically Semi-Permeable Penny-Shaped Crack in Three-Dimensional Piezoelectric Media. Acta Mech. Solida Sin. 29, 536–546 (2016). https://doi.org/10.1016/S0894-9166(16)30271-3
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DOI: https://doi.org/10.1016/S0894-9166(16)30271-3