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中文摘要：
研究含非对称十字裂纹无限大压电弹性体在无穷远纵向剪切下任意位置作用广义集中载荷的电弹于涉效应。运用弹性复势方法，获得问题的封闭形式解答，导出非对称十字裂纹尖端的Ⅲ型广义强度因子、能量释放率和应变能密度闪子表达式，并由此获得T型裂纹的相应新解答。讨论支裂纹对主裂纹尖端广义强度因子、能量释放率和应变能密度闲子的影响。算例结果表明，广义集中载荷作用下非对称十字裂纹上、下半平面竖向支裂纹对横向主裂纹的十涉效应明显不同，与广义集中载荷同一半平面的支裂纹促进主裂纹扩展，而另一支裂纹抑制主裂纹扩展，且支裂纹越长，影响越大。其得到的退化结果与已有文献若干结果完全吻合。
英文摘要：
The electroelastic interaction problem of infinite plane with a non-symmetrical crisscross crack in piezoelectric composite materials under the interaction between arbitrary generalized line force and remote load was investigated. Using complex variable method, the closed form solution was presented and the solutions of the generalized intensity factors of mode III , energy release rate and energy density factor of the crack tip were calculated. Thereby the appropriate solutions were obtained for the problems of the symmetrical crisscross crack and the problems of the T-shaped crack. The influence of crack geometries, generalized line force and its position upon the generalized intensity factor, the energy release rate and energy density factor at the major crack tip was discussed and shown in graphs. As a result, the responses from the branch crack in up-half plane and the branch crack in down-half plane to transverse major crack under the arbitrary generalized line force are different. The branch crack which is the same side of the line force makes the major crack growth take place more easily, hut the other branch crack makes the major crack growth take place more difficulty, and the longer the branch cracks are, the bigger the influences are. Some practical results concluded are in agreement with the previous solutions.
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