Fracture behavior of two non-symmetrical collinear cracks emanating from an elliptical hole in a piezoelectric material

Abstract

Based on the Stroh-type formalism and the technique of conformal mapping, the problem of two non-symmetrical collinear cracks emanating from an elliptical hole in a piezoelectric solid is investigated under remotely uniform in-plane electric loading and anti-plane mechanical loading, which allowed us to take the electric field inside the hole and cracks into account. The analytical solutions of the field intensity factors and the energy release rate are presented in closed-form, which includes the extreme cases for an impermeable crack and a permeable crack. Numerical results are then presented to reveal the effects of geometrical parameters, crack permeability and combined mechanical and electric loadings on the energy release rate.

Key words： piezoelectric materials; elliptical hole; semi-permeable crack; energy release rate; analytic solution

Acknowledgements

The authors thanked the support from the National Natural Science Foundation of China (Grant No. 10932001), the Scientific Research Key Program of Beijing Municipal Commission of Education (No. KZ201010005003), the Specialized Research Fund for the Doctoral Program of Higher Education (No. 20101102110016) and the Ph.D. Innovative Foundation of Beihang University (No. 300351)

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