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采用保角映射方法和扰动技巧,研究了一维六方准晶中螺形位错和半无限楔形裂纹的相互作用.讨论了位错的位置和楔形角对作用在位错上的力的影响,得到了应力强度因子和作用在位错上的力的解析解.此外,还详细地讨论了位错对裂纹的影响.当楔形角参数λ=1/2时,半无限楔形裂纹退化成半无限尖裂纹,相应的结果可以作为特殊情况而直接得到.
Using the method of conformal mapping and perturbation techniques, we study the interaction between screw dislocation and semi-infinite wedge crack in one-dimensional hexagonal quasicrystal. The influence of dislocation position and wedge angle on the force acting on the dislocation is discussed. The analytical solutions of the stress intensity factor and the forces acting on the dislocations are obtained. In addition, the effect of dislocations on the cracks is discussed in detail. When the wedge parameter λ = 1/2, the semi-infinite wedge-shaped cracks degenerate into semi-infinite Sharp cracks, the corresponding results can be obtained directly as a special case.