含椭圆形夹杂的压电体平面应变问题

利用复变函数理论,对在无限远处均匀应力和电位移载荷作用下的含有椭圆形弹性夹杂的横观各向同性压电材料,作了力电分析．在该文有限元结果和前人相关理论解的基础上，提了出一个可接受的认为弹性夹杂体内的应力场为常应力场的假设．在采用了不导通电边界条件之后，获得了以复势形式表示的压电基体的和弹性夹杂体内部的应力场解．

Plane Strain Problem of Piezoelectric Solid With an Elliptic Inclusion

By using the complex variables function theory,a plane strain electro-elastic analysis was performed on a transversely isotropic piezoelectric material containing an elliptic elastic inclusion,which is subjected to a uniform stress field and a uniform electric displacement loads at infinity.Based on the present finite element results and some related theoretical solutions,an acceptable conjecture was found that the stress field is constant inside the elastic inclusion.The stress field solutions in the piezoelectric matrix and the elastic inclusion were obtained in the form of complex potentials based on the impermeable electric boundary conditions.