含非圆孔无限压电介质的动力反平面特性研究

利用复变函数与保角映射法对稳态SH波在含非圆孔压电介质中的散射和动应力集中问题进行研究,获得了应力场、电场对入射波强度、外加电场的依赖关系,得到了压电介质中任意形状孔洞周边的动应力及电场强度的表达式.作为算例,对具有不同压电特征参数和不同波数情况下的含椭圆形孔洞压电介质的孔边洞应力集中系数和电场集中系数进行了数值计算.计算结果表明,孔边界动应力对外加电场压电参数具有线性依赖关系,对于含椭圆形孔的无限压电介质进行低频和大压电特征参数情况下的动力分析是非常重要的.

Dynamic anti-plane characteristic of an infinite piezoelectric medium with non-circular hole

Dynamic stress concentrations were studied in an infinite piezoelectric medium with a non-circular hole under incident anti-plane shear wave and in-plane electric field.The resulting dynamic stress concentration factors and electric field intensity concentration factors at the edge of the non-circular hole with an arbitrary shape were obtained based on complex variable and conformal mapping methods.Calculations for an infinite piezoelectric medium with an elliptic hole were determined with different elliptic axial length ratios,different wave numbers,and different characteristic parameters.Results show that dynamic analyses are very important to an infinite piezoelectric medium with a non-circular hole at lower frequencies and larger characteristic parameters.