对于各向异性体平面问题,其裂尖奇异性的研究常采用Lekniskii公式和Stroh公式,如弹性材料和压电材料.与已有文献所得结果不同的是,本文报道了压电介质中的裂尖对数奇异性.对于一均匀各向异性压电介质中的半无限长裂纹,研究表明,当r趋于0时(r为裂尖至考察点的距离),其裂尖奇异性为r~(-1/2),或为r~(-1/2)Inr,r~(-1/2)In~2r和r~(-1/2)In~3r,这取决于边界齐次方程根的重数及重根性质. For the anisotropic body plane problem, Lekniskii formula and Stroh formula, such as elastic material and piezoelectric material, are often used to study the singularity of the crack tip. Different from the existing literature, the crack in the piezoelectric medium For a semi-infinite crack in a uniform anisotropic piezoelectric medium, the study shows that when r tends to 0 (r is the distance from the crack tip to the inspection point), the crack singularity is r (-1/2) Inr, r ~ (-1/2) In ~ 2r and r ~ (-1/2) In ~ 3r depending on the boundary homogeneous The Weight and Heavy Roots of Equation Roots.