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中文摘要：
利用保角映射和cauchy积分理论研究了压电复合材料中翼形裂纹的反平面问题,分别得到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.结果表明K随β的变化而变化,当β=0时,退化为无限大压电体中Ⅲ型Griffith裂纹.
英文摘要：
Based on the technique of conformal mapping and the complex variable func- tion method, the anti-plane problem of a wing-shape in a piezoelectric composite material was studied. By using Cauchy integral formula and the Residue theorem, the analytical expressions of the field intensity factors and the mechanical strain energy release rate were presented with the assumption that the surfaces of the crack were electrically impermeable and electrically permeable. The results showed that K was with changes of β, whenβ= 0, the type Degenerate to III Griffith crack in an infinite piezoelectric.
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