准晶材料中螺型位错与圆形夹杂的干涉效应

The Interaction Between a Dislocation and Circular Inhomogeneity in Quasicrystals

研究了一维六方准晶材料中螺型位错与圆形夹杂的干涉效应.利用复变函数方法,得到了由复势函数表示的边界条件以及应力场和位错力的解析表达式.并详细讨论了位错位置和材料差异对位错力及平衡位置的影响.结果表明,当两种准晶材料常数满足一定条件时,夹杂附近存在一个位错平衡位置.另外,位错力受到夹杂相位子场弹性常数和声子场-相位子场耦合弹性常数的强烈影响,相位子场弹性常数和声子场-相位子场耦合弹性常数均存在可以改变位错力方向的临界值.解答的特殊情况与已有文献一致.

The interaction between a dislocation and circular inhomogeneity in 1D hexagonal quasicrystals is investigated. By using the complex variable method, the boundary conditions are rewritten and the ex- plicit solutions of complex potentials are obtained. The image force acting on the dislocation is （also） de- rived. The influence of the location of the dislocation and the material elastic dissimilarity upon the equilib- rium position of the dislocation are discussed in detail. The results show that an equilibrium point of the dislocation near the quasicrystal inclusion is found for certain combinations of materials constants. Moreo- ver, the force on the dislocation is strongly affected by the phonon-phason coupling elastic constant and the phason field elastic constant of the quasicrystal inclusion. An appropriate critical value of the phonon-pha- son coupling elastic constant and the phason field elastic constant may be found to change the direction of the force on the dislocation. The present solutions contain previous results as the special cases.