采用复变函数方法和保角映射技术,研究了压电复合材料中含唇形裂纹的无限大体远场受反平面机械载荷和面内电载荷作用下的反平面问题,利用复变函数中的留数定理和Cauchy积分公式,分别获得了电不可通和电可通两种边界条件下裂纹尖端场强度因子和机械应变能释放率的解析表达式.当唇形裂纹的高度趋于零时,可得到无限大压电复合材料中Griffith裂纹的解析解.若不考虑电场作用,所得解退化为经典材料的已知结果.数值算例显示了裂纹的几何尺寸和机电载荷对机械应变能释放率的影响规律.结果表明:唇形裂纹高度的增加会阻碍裂纹的扩展;机械载荷总是促进裂纹的扩展;电载荷对裂纹扩展的影响与裂纹面电边界条件有关.
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