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研究了在无穷远力电荷载作用下广义螺型位错偶极子与圆弧形界面裂纹的电弹干涉作用。运用复变函数方法,导出了该问题的一般解答,并获得了界面上只有一条裂纹时的封闭形式解,求得了基体及夹杂区域复势函数、广义应力场、裂纹尖端的广义应力强度因子以及作用在螺型位错偶极子上的位错力和力偶矩。讨论了裂纹长度、压电材料电弹常数以及位错偶极子的位置对裂纹尖端应力强度因子、偶极子中心的位错力和像力偶矩的影响。
The electro-elastic interference of generalized dislocated dipoles and circular arc-shaped interface cracks under infinite electro-mechanical loading is studied. The general solution to this problem is derived by using the complex function method. The closed form solution is obtained when there is only one crack in the interface. The complex potential function, the generalized stress field and the generalized stress intensity factor at the crack tip are obtained. Dislocation forces and moments of force acting on screw dislocation dipoles. The effects of crack length, piezoelectric constant and the position of dislocation dipole on crack tip stress intensity factor, dipole center dislocation force and moment of image are discussed.