压电磁材料中螺型位错与含界面裂纹圆形夹杂的干涉效应  

Interaction Between A Screw Dislocation and A Circular Inclusion with An Interfacial Crack in Piezomagnetoelectroelastic Solids

作　　者：郝绍富 方棋洪[2] 刘又文[2] 

机构地区：[1]湖南湘南交通路桥公司,湖南衡阳421001 [2]湖南大学力学与航空航天学院,湖南长沙410082

出　　处：《湖南理工学院学报（自然科学版）》2008年第3期41-43,47,共4页Journal of Hunan Institute of Science and Technology(Natural Sciences)

基　　金：国家自然科学基金资助项目(10472030)

摘　　要：研究了无限大压电磁基体材料中螺型位错与含界面裂纹圆形夹杂的电磁弹耦合干涉问题.运用复变函数方法,获得了夹杂和基体区域复势函数以及电弹性场的精确封闭形式解答.导出了位错在基体中任意位置时界面裂纹尖端广义应力强度因子的表达式.利用广义Peach-Koehler公式求出了作用于螺型位错上的位错力.该文解答可以作为Green函数研究压电磁材料中任意形状裂纹和圆弧形界面裂纹的干涉作用.The interaction of a generalized screw dislocation with an interfacial crack along a circular inclusion in transversely isotropic piezomagnetoelectroelastic solids is dealt with. By using the complex variable method, the closed-form solutions of complex potentials in both the inclusion and the matrix to the current problem are obtained. The intensity factors of stress, electric displacement and magnetic induction at the tip of the interracial crack are provided explicitly. The image force acting on the screw dislocation is also calculated by using the generalized Peach-Koehler formula. The closed form solutions presented in the current paper can be used as Green＇s functions to solve the problem of the interaction between an interfacial crack and an arbitrary shape crack inside the piezomagnetoelectroelastic matrix.

关 键 词：压电磁材料 螺型位错 界面裂纹 位错力 

分 类 号：O343[理学—固体力学]