多铁性材料中螺型位错与含弱界面圆形夹杂的相互作用  

Interaction between a Generalized Screw Dislocation and a Circular Inhomogeneity with Imperfect Interface in Magnetoelectric Solids

作　　者：方棋洪[1,2] 许维[1,2] 刘又文[1,2] 

机构地区：[1]湖南大学汽车车身先进设计制造国家重点实验室,湖南长沙410082 [2]湖南大学机械与运载工程学院,湖南长沙410082

出　　处：《湖南工业大学学报》2011年第6期18-24,共7页Journal of Hunan University of Technology

基　　金：国家自然科学基金资助项目(50801025;10872065);湖南大学汽车车身先进设计制造国家重点试验室自主课题基金资助项目(61075005;51075001)

摘　　要：考虑无穷远反平面力载荷和平面内电磁载荷情况下,横观各向同性的压电磁介质中广义螺型位错与含非完整界面的圆形夹杂的电磁弹性耦合效应。广义螺型位错位于基体的任意一点处并且在其位错核上作用有点力、点电荷和线电流。通过运用复变函数方法,得到了电磁弹性场的解析解。借助于广义的Peach-Koehler公式,求解出了广义螺型位错上位错力的精确表达式。研究了非完整界面对夹杂区域中电磁弹性场的影响。讨论了各种参数(非完整界面,材料匹配性和位错位置)对作用在非完整界面附近广义螺型位错上位错力的影响规律。这些基本解可以作为分析压电磁介质中相应裂纹问题的格林函数。Under remote anti-plane shear stresses and in-plane magnetoelectric loads, the magnetoelectroelastic coupling interaction between a generalized screw dislocation and a circular inhomogeneity with an imperfect interface in transversely isotropic magnetoelectroelastic solids is investigated. The generalized screw dislocation may be at any point of the inhomogeneity and is subjected to a point force, a point charge and a line electric current at the core. By means of a complex-variable method, the analytic solutions of magnetoelectroelastic fields are obtained. With the aid of the generalized Peach-Koehler formula, the explicit expressions of image forces exerted on the piezoelectric screw dislocations are derived. The influence of the interface imperfection on the magnetoelectroelastic fields inside the inhomogeneity is studied. The image force acting on the generalized screw dislocation near the imperfect interface is also discussed for variable parameters （interface imperfection, material magnetoelectroelastic mismatch and dislocation position）. These basic solutions can be used as Green＇ s functions for the analysis of the corresponding crack problem in magnetoelectroelastic solids.

关 键 词：螺型位错 非完整界面 压电磁弹性介质 位错力 

分 类 号：O342.7[理学—固体力学]