无限大压电体中导电裂纹尖端的力电场

Mechanical and electrical fields around the conducting crack-tips in infinite piezeoelectric solids

根据Stroh方法中的矩阵A和B构造了两个新矩阵M和L,得到了适合求解导电裂纹问题的广义势矢量V和广义力矢量s的简洁表达式 ,采用Suo方法研究了无限大压电体中半无限大导电裂纹和有限长度导电裂纹尖端场的解析解 。

The generalized potential V and force s were simply expressed in terms of two new matrices M and L constructed by the matrices A and B in Stroh′s formalism, to easily solve problems of conducting cracks. The analytical solutions of tip-fields of semi-infinite or finite length conducting cracks were obtained by using Suo′s method. The results showed that both the stress and electric field could be illustrated with the generalized stress intensity factor.