We consider a transversely isotropic piezoelectric spheroidal inhomogeneity embedded in an infinite transversely isotropic piezoelectric matrix subjected to a uniform remote axisymmetric electromechanical loading. The inhomogeneity-matrix interface is spring-type in elasticity and weakly conducting in dielectricity. The same degree of interface imperfection in elasticity is realized in both the normal and tangential directions and the interface is characterized by two imperfect interface functions. We identify the two interface functions leading to a uniform interior electroelastic field within the spheroidal inhomogeneity. Explicit expressions for the internal uniform stresses and electric displacement within the inhomogeneity are presented and illustrated. The uniformity property within an imperfectly bonded spheroidal piezoelectric inhomogeneity under a uniform remote antisymmetric electromechanical loading is also proved and illustrated.

我们考虑嵌入在无限横向各向同性压电矩阵中的横向各向同性球体不均匀性，受到均匀的远程轴对称机电载荷。不均匀矩阵界面在弹性上是弹簧型的，在介电中是弱导电的。在法向和切向方向上都实现了相同程度的弹性界面缺陷，并且界面的特点是两个不完美的界面函数。我们确定了导致球状不均匀性内均匀内部电弹性场的两个界面函数。提出并说明了不均匀性内内部均匀应力和电位移的显式表达式。在均匀的远程反对称机电负载下，不完美粘合的球状压电不均匀性内的均匀性也被证明和说明了。