圆柱型各向异性材料中螺型位错与非理想界面圆形夹杂的干涉效应  

INTERACTION BETWEEN A SCREW DISLOCATION AND A CIRCULAR INCLUSION WITH IMPERFECT INTERFACE IN CYLINDRICALLY ANISOTROPIC COMPOSITES

作　　者：郭道强[1,2] 麻双双[2] 刘又文[2] 

机构地区：[1]郴州强旺新金属材料有限公司,湖南郴州423500 [2]湖南大学力学与航空航天学院,湖南长沙410082

出　　处：《工程力学》2010年第7期56-61,共6页Engineering Mechanics

基　　金：国家自然科学基金项目(10872065;50801025)

摘　　要：研究了圆柱型各向异性材料中螺型位错与含非理想界面圆形夹杂的弹性干涉问题。利用复变函数方法,获得了圆形夹杂和无限大基体区域复势函数的精确级数形式解答。利用Peach-Koehler公式导出作用于螺型位错上的位错力公式。主要讨论了材料各向异性性质与界面非理想性对位错力的影响规律。分析结果表明,界面非理想性吸引位错,而各向异性夹杂排斥各向同性基体材料中的位错。当夹杂的各向异性程度大于基体时,位错在非理想界面附近存在一个平衡位置。当界面非理想程度系数不变时,夹杂各向异性程度系数存在一个临界值改变作用在位错上位错力的方向。The elastic interaction between a screw dislocations and a circular inclusion with imperfect interface in cylindrically anisotropic solids is investigated. The analytic solutions of complex potentials and elastic fields are obtained by means of the complex variable method. With the aid of the Peach-Koehler formula, the explicit expressions of image forces exerted on the screw dislocation is derived. The influence of the interface imperfection and the material anisotropy on the image force and the equilibrium position of the screw dislocation near the circular interface are discussed. The results show that the screw dislocation is always attracted by the imperfect interface. The dislocation inside isotropic matrix is always repelled by the anisotropic inclusion. When the degree of anisotropy of the inclusion is larger than that of matrix, an unstable equilibrium position of the dislocation near the interface can be found. If the parameter of the interface imperfection is fixed, there is a critical value of the degree of anisotropy of the inclusion to alter the direction of the image force acting on the dislocation.

关 键 词：各向异性材料 螺型位错 非理想界面 位错力 夹杂 

分 类 号：O343.7[理学—固体力学]