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Based on the XFEM, an elliptical hole edge-cracks problem in piezoelectric materials is analyzed. The stress field and the electrical displacement field around the crack tip are derived. The virtual crack closure method is used to calculate the energy release rate of different crack length under the mechanical load and electromechanical coupling load, respectively. According to the relationship between...
Based on the complex variable method, the problem of an elliptic plate with an elliptic hole or a crack is addressed under uniform tension or pressure imposed on the boundary of the hole and on the edge of the plate. A series solution for the stress field inside the plate is derived using conformal mapping techniques, Faber series and Fourier expansion method. The stress fields around the hole or...
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