电磁材料中广义螺型位错与圆形界面刚性线夹杂的干涉效应  

A GENERALIZED SCREW DISLOCATION INTERACTING WITH CIRCULAR ARC INTERFACIAL RIGID LINES IN MAGNETOELECTROELASTIC SOLIDS

作　　者：刘又文[1] 方棋洪[1] 肖春[1] 

机构地区：[1]湖南大学工程力学系,长沙410082

出　　处：《工程力学》2005年第5期54-58,共5页Engineering Mechanics

基　　金：国家自然科学基金(10472030);湖南省自然科学基金(02JJY2014)

摘　　要：研究了广义螺型位错和圆形界面刚性导体线夹杂的磁电弹耦合干涉效应。采用Riemann-Schwarz对称原理并结合复势函数奇性主部分析,得到该问题的一般解答。当界面只含一条刚性线时,获得了封闭形式解。运用扰动技术,求解了位错点的扰动应力、电位移和磁感应强度场。由推广的Peach-Koehler公式求出了作用在位错上的位错力,讨论了圆弧形刚性线几何条件和材料失配对位错力的影响规律。解答不但可作为格林函数获得任意分布位错的相应解答,而且可以用于研究无穷远纵向剪切和面内电磁场作用下界面刚性线夹杂和任意形状裂纹的磁电弹耦合干涉效应问题。The magnetoelectroelastic interaction of a generalized screw dislocation with circular interracial rigid conducting line inclusions is dealt with. By using Riemann-Schwarz＇s symmetry principle integrated with the analysis of singularity of complex potentials, the general solution of the problem is presented. A closed form solution is derived when the interface contains one rigid line. With the application of perturbation technique, the perturbation stresses, electric displacement fields, magnetic induction fields are obtained. The image force acting on the generalized screw dislocation is calculated using the generalized Peach-Koehler formula. The influence of interfacial rigid line geometry and material mismatch on the image force is discussed. The solutions can be used as Green＇s functions to obtain the corresponding solutions for the case of arbitrary distribution dislocations and solve the problem of the interaction between interracial rigid lines and arbitrary shape crack under antiplane mechanical, in-plane electric and magnetic loadings at infinity.

关 键 词：螺型位错 界面 刚性线 电磁弹性材料 复变函数方法 

分 类 号：O343.7[理学—固体力学]