本文分析半平面壓電材料內含非滲透型裂紋之問題。基於Stroh公式，考慮廣義半平面電彈邊界條件，引用點差排及電偶極子作用在半平面壓電材料之格林函數，以差排密度和電偶極子密度為未知函數分佈於裂紋面而建立一組奇異積分方程式，經由數值方法求解此積分方程並間接推得裂紋尖端處之應力與電位移強度因子。文中探討裂紋面承受均佈壓曳力、剪曳力、電位移與裂紋深度、傾斜方向等對強度因子之影響。

　An impermeable crack embedded in a half-plane piezoelectric material with general boundary conditions is investigated. Based on the extended Stroh formalism and the Green's functions for a point dislocation and an electric dipole, a system of singular integral equations for the unknown dislocation densities and electric dipole densities defined on the crack faces is derived. The surfaces of the crack are subjected to uniform pressure, shear or electric displacement loading. Numerical method is then used to calculate the solutions to the system of equations. Results are presented graphically for the generalized stress intensity factors for transversely isotropic piezoelectric material. The effects of the depth of the crack and the orientation of the crack for different piezoelectric ceramics are also discussed in some detail.

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