压电体表面Maxwell应力对断裂的效应

Effects of Surface Maxwell Stress on Fracture of Piezoelectric Solids

研究了压电固体外表面Maxwell应力和裂纹内表面Maxwell应力对断裂的效应。采用复变函数理论与Stroh公式,理论分析了半穿透裂纹内外环境介质对电场、裂纹张开位移以及裂纹应力强度因子的影响,并通过数值算例讨论了在纯电场作用下以及在力-电耦合载荷作用下裂纹的扩展行为。结果表明,压电体表面的Maxwell应力对裂纹的扩展有重要的影响。

Effects of surface Maxwell stresses on the fracture of a piezoelectric solid with a crack is studied. Based on complex function method combined with Stroh formalism, the influences of dielectrics in the surrounding space and inside the crack on the electric fields, crack opening and field intensity factors are investigated, respectively. And then numerical examples are presented under pure electric loading and combined mechanical-electric loading to discuss the fracture behaviors of the solid. It is shown that the surface Maxwell stresses play an important role in the fracture of the piezoelectric solid.