本文利用廣義的Lekhnitskii複變函數分析壓電材料在單一楔形結構下的應力奇異性。應力奇異性與材料參數、楔形角、材料的極化方向、邊界條件有關。因此本文將探討這些參數對應力奇異性的影響，以作為設計時之參考。

由於壓電材料具有機電耦合的效應，因此邊界會包含有關彈性場與靜電場的邊界條件。本文探討十種不同的邊界條件及極化方向在x-y平面與z軸時，壓電參數對應力奇異性階數的影響，同時亦可獲得相對於奇異性消失時之最大單一楔形角度。

This paper discusses the strength of the stress singularity orders in a piezoelectric wedge based on the generalized Lekhnitskii’s complex function. The stress singularity orders depend on the wedge angles, edge boundary conditions, material properties and poling directions.

Due to the coupling effect of mechanical and electrical fields, the boundary conditions on the edges involve stress, displacement, electrical displacement or electric potential. This paper emphasizes the effects of piezoelectric constants and ten different boundary conditions on the singular orders when the piezoelectric material is poled in x-y plane or along z-axis. In addition, the greatest wedge angle correspond to the vanishing stress singularity can be computed.

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