各向异性双材料中运动螺型位错与界面刚性线的干涉  

Moving Screw Dislocation Near Interfacial Rigid Lines in Two Dissimilar Anisotropic Media

作　　者：刘又文[1] 李博[1] 方棋洪[1] 樊大均(推荐) 

机构地区：[1]湖南大学工程力学系,长沙410082 [2]不详

出　　处：《应用数学和力学》2008年第5期564-574,共11页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10472030)

摘　　要：研究了各向异性双材料中匀速运动螺型位错与界面刚性线的干涉问题.运用Riemann-Schwarz解析延拓技术与复势函数奇性主部分析方法,获得了该问题的一般弹性解答,求出了界面含一条和两条刚性线情况下的封闭形式解,并给出了刚性线尖端的应力强度因子和作用于运动位错上的像力的显式表达式.结果表明,位错速度增大可以削弱位错对应力强度因子的反屏蔽效应;位错速度越大,位错平衡点越靠近刚性线.退化结果与已有的解答完全吻合.The problem for the interaction between a uniformly moving screw dislocation and interface rigid lines in two dissimilar anisotropic materials are investigated. Using Riemann-Schwarz＇ s symmetry principle integrated with the analysis singularity of complex functions, the general elastic solutions of this problem and the closed form solutions for interface containing one and two rigid lines were presented. The expressions of stress intensity factors at the rigid line tips and image force acting on moving dislocation were derived explicitly. The results show that dislocation velocity has antishielding effect on rigid line tip and larger dislocation velocity leads to the equilibrium position of dislocation closing with rigid line. The presented solutions contain previously known results as the special cases.

关 键 词：各向异性双材料 运动螺型位错 界面刚性线 像力 

分 类 号：O343.7[理学—固体力学]