电磁弹性材料双周期裂纹反平面问题的精确解  

An exact solution to the antiplane problem of doubly periodic cracks in magnetoelectroelastic materials

作　　者：徐耀玲[1] 沈艳芝[2] 杨勇[1] 

机构地区：[1]燕山大学建筑工程与力学学院,河北秦皇岛066004 [2]燕山大学机械工程学院,河北秦皇岛066004

出　　处：《兵器材料科学与工程》2009年第1期17-20,共4页Ordnance Material Science and Engineering

摘　　要：研究含双周期裂纹的电磁弹性材料在远场反平面机械载荷和面内电磁载荷作用下的电磁弹性响应,利用椭圆函数理论和保角变换技术,获得电磁弹性场的精确解,推导裂纹尖端的应力强度因子、电位移强度因子和磁感应强度因子。算例分析表明,裂纹分布特征对材料断裂性能有重要的影响,场强因子对排间距和列间距存在着截然相反的依赖性。An infinite magnetoelectroelastic solid containing a doubly periodic array of cracks under antiplane mechanical load and inplane magnetoelectric load is investigated. By using of the theory of double period function combined with the technique of conformal mapping, the exact solution is obtained. The stress intensity factor, electrical displacement intensity factor and magnetic induction intensity factor are given. It is found that crack distribution plays an important role in fracture behavior of materials. Field intensity factors show the contrary dependence on the stack and column spacings of the cracks.

关 键 词：场强因子 电磁弹性材料 双周期分布 裂纹 

分 类 号：O346[理学—固体力学]