Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (5): 625-638 .doi: https://doi.org/10.1007/s10483-008-0507-7

• Articles • 上一篇    下一篇

各向异性双材料中运动螺型位错与界面刚性线的干涉

刘又文, 李博, 方棋洪   

  1. 湖南大学工程力学系,长沙 410082
  • 收稿日期:2007-06-28 修回日期:2008-03-18 出版日期:2008-05-18 发布日期:2008-05-18
  • 通讯作者: 刘又文

A moving screw dislocation near interfacial rigid lines in two dissimilar anisotropic media

LIU You-wen, LI Bo, FANG Qi-hong   

  1. College of Mechanics and Aerospace, Hunan University, Changsha 410082, P. R. China
  • Received:2007-06-28 Revised:2008-03-18 Online:2008-05-18 Published:2008-05-18
  • Contact: LIU You-wen

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
截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略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。

关键词: 运动螺型位错, 各向异性双材料, 界面刚性线, 像力

Abstract: This paper attempts to investigate the problem for the interaction between a uniformly moving screw dislocation and interface rigid lines in two dissimilar anisotropic materials. Integrating Riemann-Schwarz's symmetry principle with the analysis singularity of complex functions, we present the general elastic solutions of this problem and the closed form solutions for interfaces containing one and two rigid lines. The expressions of stress intensity factors at the rigid line tips and image force acting on moving dislocation are derived explicitly. The results show that dislocation velocity has an antishielding effect on the rigid line tip and a larger dislocation velocity leads to the equilibrium position of dislocation closing with the rigid line. The presented solutions contain previously known results as the special cases.

Key words: anisotropic bimaterials, moving screw dislocation, interfacial rigid lines, image force

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