摘要
研究了晶体材料中一个楔型向错偶极子与裂纹的弹性干涉效应.运用复变函数方法获得了复势函数和应力场的封闭形式解答,导出了裂纹尖端应力强度因子和作用在向错偶极子中心点像力的解析表达式.获得了向错偶极子的位置、方向和偶臂长度对裂纹尖端应力强度因子的影响规律,并讨论了裂纹附近向错偶极子的平衡位置.结果表明向错偶极子靠近裂纹尖端时,对应力强度因子有明显的屏蔽或反屏蔽作用.
The system of a wedge disclination dipole interacting with an internal crack is investigated. By using the complex variable method, the closed from solutions of complex potentials to this problem were presented. The analytic formulae of the physics variables, such as stress intensity factors at the tips of the crack produced by the wedge disclination dipole and the image force acting on disclination dipole center were obtained. The influence of the orientation, the dipole arm and the location of the disclination dipole on the stress intensity factors was discussed in detail. Furthermore, the equilibrium position of the wedge disclination dipole was also examined. It is shown that the shielding or anti- shielding effect of the wedge disclination to the stress intensity factors is significant when the disclination dipole moves to the crack tips.
出处
《应用数学和力学》
CSCD
北大核心
2006年第9期1084-1092,共9页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10472030)
关键词
向错
裂纹
复变函数方法
像力
disclination dipole
crack
complex variable method
image force
