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Discussion of the Crack Face Electric Boundary Condition in Piezoelectric Fracture Mechanics

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Abstract

Selection of the electric boundary condition on crack faces in piezoelectric fracture mechanics has concerned researchers for a long time, and this may be related to discrepancies between the experimental measurements and theoretical predictions based on linear piezoelectric crack models that have been reported. In this letter, three well known electric boundary conditions, namely, impermeable, permeable and the boundary condition suggested by Parton en Kudryavtsev and Hao and Shen (PKHS condition) are discussed. We demonstrate that the impermeable condition is invalid for treating cracking problems, due to its physically unrealistic features and a mathematical singularity. Also, we show that the permeable condition can be used only in conjunction with nonzero mechanical traction boundary condition along the crack faces. Finally, it is shown that the PKHS condition is a reasonable one, but that the permittivity of the media inside the crack gap must be nonzero.

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Authors and Affiliations

  1. School of Civil Engineering and Mecha¡nics, The State Key Laboratory of MSSV Xi'an Jiao-Tong University, Xi'an City, 710049, P.R. China

    Z.C. Ou & Y.H. Chen

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  1. Z.C. Ou
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  2. Y.H. Chen
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Ou, Z., Chen, Y. Discussion of the Crack Face Electric Boundary Condition in Piezoelectric Fracture Mechanics. International Journal of Fracture 123, L151–L155 (2003). https://doi.org/10.1023/B:FRAC.0000005808.89187.97

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  • DOI: https://doi.org/10.1023/B:FRAC.0000005808.89187.97

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