一维六方准晶中平行螺型位错与有限长裂纹的相互作用

本文采用解析函数理论,利用Muskhelishvili著名的复变函数方法,给出了无限大一维六方准晶中多条平行螺型位错与有限长直裂纹相互作用的解析解,并得到了裂纹尖端的场强度因子和作用在位错上的像力.数值算例讨论了镜像力、场强度因子随位错位置的变化，及位错的位置与分布对广义应力场的影响．

The Interaction between Parallel Screw Dislocations and a Finite Crack in One-dimensional Hexagonal Quasicrystals

By using the famous complex variable function method introduced by Muskhelishvili and the analytic function theory in this paper, the analytical solutions of the interaction of many parallel screw dislocations with a finite crack in infinitely large one-dimensional hexagonal quasicrystals are studied. The field intensity factors at the crack tip and the imaged force acting on one dislocation with the existence of crack and other dislocations are obtained. The numerical examples are given to discuss the influence of the dislocation position on the field intensity factors and the imaged force. And the position and distribution of the dislocations also effect the generalized stress field.