磁电弹性材料中椭圆孔带四条裂纹反平面问题

Anti-Plane Problem of Four Cracks Emanating from an Elliptical Hole in Magnetoelectroelastic Solid

利用复变函数方法并引入合适的保角映射,研究了磁电弹性压电材料中椭圆带四条裂纹的反平面问题。利用Cauchy积分公式在磁电全渗透和磁电全非渗透两种边界条件下,给出了场强度因子和能量释放率的解析解。磁电全非渗透时电位移强度因子和磁感应强度因子不受材料的影响,在磁电渗透时电位移强度因子和磁感应强度因子均受到材料的影响。

By using the complex function method and introducing the appropriate conformal mapping,the anti-plane problem of four edge cracks emanating from an elliptical hole in magnetoeletroelastic materials is studied.The analytical solutions of the field intensity factor and the energy release rate are given using cauchy integral formula under the magnetoelectrically impermeable and permeable boundary conditions.The electric displacement intensity factor and the magnetic induction intensity factor are not affected by the material under the magnetoelectrically impermeable bountary condition.Both the electric displacement intensity factor and the magnetic induction intensity factor are affected by the material under the magnetoelectrically permeable bountary condition.